TSTP Solution File: SYO606+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:38:28 EDT 2024
% Result : Theorem 4.03s 1.12s
% Output : CNFRefutation 4.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f112)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ~ ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X1] :
( ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ? [X2] :
( h_both(X0,X2)
& g_both(X0,X1) ) ) )
& ~ ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) ) )
| ( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) ) )
| ( ! [X0,X1] :
? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ! [X0] :
( ? [X1] : h_true_only(X0,X1)
| ! [X1] : g_false_only(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc5) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X1] :
( ~ ? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ? [X2] :
( h_both(X0,X2)
& g_both(X0,X1) ) ) )
& ~ ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) )
& ? [X0] :
( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) ) )
| ( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ~ ? [X1] : g_true_only(X0,X1)
& ? [X1] : g_both(X0,X1) )
| ( ( ! [X1] : h_false_only(X0,X1)
| ( ~ ? [X1] : h_true_only(X0,X1)
& ? [X1] : h_both(X0,X1) ) )
& ? [X1] : g_true_only(X0,X1) ) ) )
| ( ! [X0,X1] :
? [X2] :
( h_true_only(X0,X2)
| g_false_only(X0,X1) )
& ! [X0] :
( ? [X1] : h_true_only(X0,X1)
| ! [X1] : g_false_only(X0,X1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X3,X4] :
( g_true_only(X3,X4)
<=> ( ~ g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f4,axiom,
! [X3,X4] :
( g_both(X3,X4)
<=> ( g_false(X3,X4)
& g_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f5,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
<=> ( ~ g_true(X3,X4)
& g_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f6,axiom,
! [X3,X4] :
( g_false_only(X3,X4)
| g_both(X3,X4)
| g_true_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7,axiom,
! [X3,X4] :
( h_true_only(X3,X4)
<=> ( ~ h_false(X3,X4)
& h_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_h) ).
fof(f8,axiom,
! [X3,X4] :
( h_both(X3,X4)
<=> ( h_false(X3,X4)
& h_true(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_h) ).
fof(f9,axiom,
! [X3,X4] :
( h_false_only(X3,X4)
<=> ( ~ h_true(X3,X4)
& h_false(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_h) ).
fof(f10,axiom,
! [X3,X4] :
( h_false_only(X3,X4)
| h_both(X3,X4)
| h_true_only(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_h) ).
fof(f11,plain,
~ ( ( ~ ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
& ? [X3] :
( ~ ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
& ? [X6] :
( ~ ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
& ? [X8] :
( h_both(X3,X8)
& g_both(X3,X6) ) ) )
& ~ ? [X9] :
( ( ! [X10] : h_false_only(X9,X10)
& ~ ? [X11] : g_true_only(X9,X11)
& ? [X12] : g_both(X9,X12) )
| ( ( ! [X13] : h_false_only(X9,X13)
| ( ~ ? [X14] : h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) ) )
& ? [X17] :
( ~ ? [X18] : h_true_only(X17,X18)
& ? [X19] : h_both(X17,X19)
& ~ ? [X20] : g_true_only(X17,X20)
& ? [X21] : g_both(X17,X21) ) )
| ( ? [X22,X23] :
! [X24] :
( ( h_false_only(X22,X24)
& g_both(X22,X23) )
| ( ( h_false_only(X22,X24)
| h_both(X22,X24) )
& g_true_only(X22,X23) ) )
& ? [X25] :
( ( ! [X26] : h_false_only(X25,X26)
& ~ ? [X27] : g_true_only(X25,X27)
& ? [X28] : g_both(X25,X28) )
| ( ( ! [X29] : h_false_only(X25,X29)
| ( ~ ? [X30] : h_true_only(X25,X30)
& ? [X31] : h_both(X25,X31) ) )
& ? [X32] : g_true_only(X25,X32) ) ) )
| ( ! [X33,X34] :
? [X35] :
( h_true_only(X33,X35)
| g_false_only(X33,X34) )
& ! [X36] :
( ? [X37] : h_true_only(X36,X37)
| ! [X38] : g_false_only(X36,X38) ) ) ),
inference(rectify,[],[f2]) ).
fof(f12,plain,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( ~ g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f13,plain,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( ~ g_true(X0,X1)
& g_false(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f15,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f16,plain,
! [X0,X1] :
( h_true_only(X0,X1)
<=> ( ~ h_false(X0,X1)
& h_true(X0,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f17,plain,
! [X0,X1] :
( h_both(X0,X1)
<=> ( h_false(X0,X1)
& h_true(X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( h_false_only(X0,X1)
<=> ( ~ h_true(X0,X1)
& h_false(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f19,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_both(X0,X1)
| h_true_only(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f20,plain,
( ( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ! [X3] :
( ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
| ! [X6] :
( ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
| ! [X8] :
( ~ h_both(X3,X8)
| ~ g_both(X3,X6) ) ) )
| ? [X9] :
( ( ! [X10] : h_false_only(X9,X10)
& ! [X11] : ~ g_true_only(X9,X11)
& ? [X12] : g_both(X9,X12) )
| ( ( ! [X13] : h_false_only(X9,X13)
| ( ! [X14] : ~ h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) ) )
| ! [X17] :
( ? [X18] : h_true_only(X17,X18)
| ! [X19] : ~ h_both(X17,X19)
| ? [X20] : g_true_only(X17,X20)
| ! [X21] : ~ g_both(X17,X21) ) )
& ( ! [X22,X23] :
? [X24] :
( ( ~ h_false_only(X22,X24)
| ~ g_both(X22,X23) )
& ( ( ~ h_false_only(X22,X24)
& ~ h_both(X22,X24) )
| ~ g_true_only(X22,X23) ) )
| ! [X25] :
( ( ? [X26] : ~ h_false_only(X25,X26)
| ? [X27] : g_true_only(X25,X27)
| ! [X28] : ~ g_both(X25,X28) )
& ( ( ? [X29] : ~ h_false_only(X25,X29)
& ( ? [X30] : h_true_only(X25,X30)
| ! [X31] : ~ h_both(X25,X31) ) )
| ! [X32] : ~ g_true_only(X25,X32) ) ) )
& ( ? [X33,X34] :
! [X35] :
( ~ h_true_only(X33,X35)
& ~ g_false_only(X33,X34) )
| ? [X36] :
( ! [X37] : ~ h_true_only(X36,X37)
& ? [X38] : ~ g_false_only(X36,X38) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f21,plain,
( ! [X25] :
( ( ? [X26] : ~ h_false_only(X25,X26)
| ? [X27] : g_true_only(X25,X27)
| ! [X28] : ~ g_both(X25,X28) )
& ( ( ? [X29] : ~ h_false_only(X25,X29)
& ( ? [X30] : h_true_only(X25,X30)
| ! [X31] : ~ h_both(X25,X31) ) )
| ! [X32] : ~ g_true_only(X25,X32) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
! [X9] :
( ( ( ! [X13] : h_false_only(X9,X13)
| ( ! [X14] : ~ h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) )
| ~ sP1(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ! [X3] :
( ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
| ! [X6] :
( ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
| ! [X8] :
( ~ h_both(X3,X8)
| ~ g_both(X3,X6) ) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( sP3
| sP2
| ? [X9] :
( ( ! [X10] : h_false_only(X9,X10)
& ! [X11] : ~ g_true_only(X9,X11)
& ? [X12] : g_both(X9,X12) )
| sP1(X9) )
| ! [X17] :
( ? [X18] : h_true_only(X17,X18)
| ! [X19] : ~ h_both(X17,X19)
| ? [X20] : g_true_only(X17,X20)
| ! [X21] : ~ g_both(X17,X21) ) )
& ( ! [X22,X23] :
? [X24] :
( ( ~ h_false_only(X22,X24)
| ~ g_both(X22,X23) )
& ( ( ~ h_false_only(X22,X24)
& ~ h_both(X22,X24) )
| ~ g_true_only(X22,X23) ) )
| sP0 )
& ( ? [X33,X34] :
! [X35] :
( ~ h_true_only(X33,X35)
& ~ g_false_only(X33,X34) )
| ? [X36] :
( ! [X37] : ~ h_true_only(X36,X37)
& ? [X38] : ~ g_false_only(X36,X38) ) ) ),
inference(definition_folding,[],[f20,f24,f23,f22,f21]) ).
fof(f26,plain,
( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f27,plain,
( ? [X0,X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
=> ! [X2] :
( ( h_false_only(sK4,X2)
& g_both(sK4,sK5) )
| ( ( h_false_only(sK4,X2)
| h_both(sK4,X2) )
& g_true_only(sK4,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ! [X2] :
( ( h_false_only(sK4,X2)
& g_both(sK4,sK5) )
| ( ( h_false_only(sK4,X2)
| h_both(sK4,X2) )
& g_true_only(sK4,sK5) ) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f26,f27]) ).
fof(f29,plain,
( ! [X3] :
( ? [X4] :
! [X5] :
( ( h_false_only(X3,X5)
& g_both(X3,X4) )
| ( ( h_false_only(X3,X5)
| h_both(X3,X5) )
& g_true_only(X3,X4) ) )
| ! [X6] :
( ? [X7] :
( h_true_only(X3,X7)
| g_false_only(X3,X6) )
| ! [X8] :
( ~ h_both(X3,X8)
| ~ g_both(X3,X6) ) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f30,plain,
( ! [X0] :
( ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
| ! [X3] :
( ? [X4] :
( h_true_only(X0,X4)
| g_false_only(X0,X3) )
| ! [X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3) ) ) )
| ~ sP2 ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,X1) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,X1) ) )
=> ! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,sK6(X0)) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,sK6(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X3] :
( ? [X4] :
( h_true_only(X0,X4)
| g_false_only(X0,X3) )
=> ( h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ! [X0] :
( ! [X2] :
( ( h_false_only(X0,X2)
& g_both(X0,sK6(X0)) )
| ( ( h_false_only(X0,X2)
| h_both(X0,X2) )
& g_true_only(X0,sK6(X0)) ) )
| ! [X3] :
( h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3)
| ! [X5] :
( ~ h_both(X0,X5)
| ~ g_both(X0,X3) ) ) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f30,f32,f31]) ).
fof(f34,plain,
! [X9] :
( ( ( ! [X13] : h_false_only(X9,X13)
| ( ! [X14] : ~ h_true_only(X9,X14)
& ? [X15] : h_both(X9,X15) ) )
& ? [X16] : g_true_only(X9,X16) )
| ~ sP1(X9) ),
inference(nnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0] :
( ( ( ! [X1] : h_false_only(X0,X1)
| ( ! [X2] : ~ h_true_only(X0,X2)
& ? [X3] : h_both(X0,X3) ) )
& ? [X4] : g_true_only(X0,X4) )
| ~ sP1(X0) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ? [X3] : h_both(X0,X3)
=> h_both(X0,sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X4] : g_true_only(X0,X4)
=> g_true_only(X0,sK9(X0)) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ( ( ! [X1] : h_false_only(X0,X1)
| ( ! [X2] : ~ h_true_only(X0,X2)
& h_both(X0,sK8(X0)) ) )
& g_true_only(X0,sK9(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f35,f37,f36]) ).
fof(f39,plain,
( ! [X25] :
( ( ? [X26] : ~ h_false_only(X25,X26)
| ? [X27] : g_true_only(X25,X27)
| ! [X28] : ~ g_both(X25,X28) )
& ( ( ? [X29] : ~ h_false_only(X25,X29)
& ( ? [X30] : h_true_only(X25,X30)
| ! [X31] : ~ h_both(X25,X31) ) )
| ! [X32] : ~ g_true_only(X25,X32) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f40,plain,
( ! [X0] :
( ( ? [X1] : ~ h_false_only(X0,X1)
| ? [X2] : g_true_only(X0,X2)
| ! [X3] : ~ g_both(X0,X3) )
& ( ( ? [X4] : ~ h_false_only(X0,X4)
& ( ? [X5] : h_true_only(X0,X5)
| ! [X6] : ~ h_both(X0,X6) ) )
| ! [X7] : ~ g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0] :
( ? [X1] : ~ h_false_only(X0,X1)
=> ~ h_false_only(X0,sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ? [X2] : g_true_only(X0,X2)
=> g_true_only(X0,sK11(X0)) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X4] : ~ h_false_only(X0,X4)
=> ~ h_false_only(X0,sK12(X0)) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X5] : h_true_only(X0,X5)
=> h_true_only(X0,sK13(X0)) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ! [X0] :
( ( ~ h_false_only(X0,sK10(X0))
| g_true_only(X0,sK11(X0))
| ! [X3] : ~ g_both(X0,X3) )
& ( ( ~ h_false_only(X0,sK12(X0))
& ( h_true_only(X0,sK13(X0))
| ! [X6] : ~ h_both(X0,X6) ) )
| ! [X7] : ~ g_true_only(X0,X7) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f40,f44,f43,f42,f41]) ).
fof(f46,plain,
( ( sP3
| sP2
| ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ! [X2] : ~ g_true_only(X0,X2)
& ? [X3] : g_both(X0,X3) )
| sP1(X0) )
| ! [X4] :
( ? [X5] : h_true_only(X4,X5)
| ! [X6] : ~ h_both(X4,X6)
| ? [X7] : g_true_only(X4,X7)
| ! [X8] : ~ g_both(X4,X8) ) )
& ( ! [X9,X10] :
? [X11] :
( ( ~ h_false_only(X9,X11)
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,X11)
& ~ h_both(X9,X11) )
| ~ g_true_only(X9,X10) ) )
| sP0 )
& ( ? [X12,X13] :
! [X14] :
( ~ h_true_only(X12,X14)
& ~ g_false_only(X12,X13) )
| ? [X15] :
( ! [X16] : ~ h_true_only(X15,X16)
& ? [X17] : ~ g_false_only(X15,X17) ) ) ),
inference(rectify,[],[f25]) ).
fof(f47,plain,
( ? [X0] :
( ( ! [X1] : h_false_only(X0,X1)
& ! [X2] : ~ g_true_only(X0,X2)
& ? [X3] : g_both(X0,X3) )
| sP1(X0) )
=> ( ( ! [X1] : h_false_only(sK14,X1)
& ! [X2] : ~ g_true_only(sK14,X2)
& ? [X3] : g_both(sK14,X3) )
| sP1(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
( ? [X3] : g_both(sK14,X3)
=> g_both(sK14,sK15) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X4] :
( ? [X5] : h_true_only(X4,X5)
=> h_true_only(X4,sK16(X4)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X4] :
( ? [X7] : g_true_only(X4,X7)
=> g_true_only(X4,sK17(X4)) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X9,X10] :
( ? [X11] :
( ( ~ h_false_only(X9,X11)
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,X11)
& ~ h_both(X9,X11) )
| ~ g_true_only(X9,X10) ) )
=> ( ( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,sK18(X9,X10))
& ~ h_both(X9,sK18(X9,X10)) )
| ~ g_true_only(X9,X10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X12,X13] :
! [X14] :
( ~ h_true_only(X12,X14)
& ~ g_false_only(X12,X13) )
=> ! [X14] :
( ~ h_true_only(sK19,X14)
& ~ g_false_only(sK19,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X15] :
( ! [X16] : ~ h_true_only(X15,X16)
& ? [X17] : ~ g_false_only(X15,X17) )
=> ( ! [X16] : ~ h_true_only(sK21,X16)
& ? [X17] : ~ g_false_only(sK21,X17) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X17] : ~ g_false_only(sK21,X17)
=> ~ g_false_only(sK21,sK22) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ( sP3
| sP2
| ( ! [X1] : h_false_only(sK14,X1)
& ! [X2] : ~ g_true_only(sK14,X2)
& g_both(sK14,sK15) )
| sP1(sK14)
| ! [X4] :
( h_true_only(X4,sK16(X4))
| ! [X6] : ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ! [X8] : ~ g_both(X4,X8) ) )
& ( ! [X9,X10] :
( ( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10) )
& ( ( ~ h_false_only(X9,sK18(X9,X10))
& ~ h_both(X9,sK18(X9,X10)) )
| ~ g_true_only(X9,X10) ) )
| sP0 )
& ( ! [X14] :
( ~ h_true_only(sK19,X14)
& ~ g_false_only(sK19,sK20) )
| ( ! [X16] : ~ h_true_only(sK21,X16)
& ~ g_false_only(sK21,sK22) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22])],[f46,f54,f53,f52,f51,f50,f49,f48,f47]) ).
fof(f56,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f57,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f59,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f61,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ( h_true_only(X0,X1)
| h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( ~ h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f63,plain,
! [X0,X1] :
( ( h_true_only(X0,X1)
| h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( ~ h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_true_only(X0,X1) ) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( h_both(X0,X1)
| ~ h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_both(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f65,plain,
! [X0,X1] :
( ( h_both(X0,X1)
| ~ h_false(X0,X1)
| ~ h_true(X0,X1) )
& ( ( h_false(X0,X1)
& h_true(X0,X1) )
| ~ h_both(X0,X1) ) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ( h_false_only(X0,X1)
| h_true(X0,X1)
| ~ h_false(X0,X1) )
& ( ( ~ h_true(X0,X1)
& h_false(X0,X1) )
| ~ h_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f67,plain,
! [X0,X1] :
( ( h_false_only(X0,X1)
| h_true(X0,X1)
| ~ h_false(X0,X1) )
& ( ( ~ h_true(X0,X1)
& h_false(X0,X1) )
| ~ h_false_only(X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
( g_both(sK4,sK5)
| g_true_only(sK4,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f69,plain,
! [X2] :
( g_both(sK4,sK5)
| h_false_only(sK4,X2)
| h_both(sK4,X2)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f70,plain,
! [X2] :
( h_false_only(sK4,X2)
| g_true_only(sK4,sK5)
| ~ sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f73,plain,
! [X2,X3,X0,X5] :
( g_both(X0,sK6(X0))
| h_false_only(X0,X2)
| h_both(X0,X2)
| h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3)
| ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
! [X2,X3,X0,X5] :
( h_false_only(X0,X2)
| g_true_only(X0,sK6(X0))
| h_true_only(X0,sK7(X0,X3))
| g_false_only(X0,X3)
| ~ h_both(X0,X5)
| ~ g_both(X0,X3)
| ~ sP2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f76,plain,
! [X0] :
( g_true_only(X0,sK9(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f77,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_both(X0,sK8(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f78,plain,
! [X2,X0,X1] :
( h_false_only(X0,X1)
| ~ h_true_only(X0,X2)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f79,plain,
! [X0,X6,X7] :
( h_true_only(X0,sK13(X0))
| ~ h_both(X0,X6)
| ~ g_true_only(X0,X7)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f80,plain,
! [X0,X7] :
( ~ h_false_only(X0,sK12(X0))
| ~ g_true_only(X0,X7)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f81,plain,
! [X3,X0] :
( ~ h_false_only(X0,sK10(X0))
| g_true_only(X0,sK11(X0))
| ~ g_both(X0,X3)
| ~ sP0 ),
inference(cnf_transformation,[],[f45]) ).
fof(f82,plain,
( ~ g_false_only(sK19,sK20)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f55]) ).
fof(f83,plain,
! [X16] :
( ~ g_false_only(sK19,sK20)
| ~ h_true_only(sK21,X16) ),
inference(cnf_transformation,[],[f55]) ).
fof(f84,plain,
! [X14] :
( ~ h_true_only(sK19,X14)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f55]) ).
fof(f85,plain,
! [X16,X14] :
( ~ h_true_only(sK19,X14)
| ~ h_true_only(sK21,X16) ),
inference(cnf_transformation,[],[f55]) ).
fof(f86,plain,
! [X10,X9] :
( ~ h_both(X9,sK18(X9,X10))
| ~ g_true_only(X9,X10)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f87,plain,
! [X10,X9] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_true_only(X9,X10)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f88,plain,
! [X10,X9] :
( ~ h_false_only(X9,sK18(X9,X10))
| ~ g_both(X9,X10)
| sP0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f89,plain,
! [X8,X6,X4] :
( sP3
| sP2
| g_both(sK14,sK15)
| sP1(sK14)
| h_true_only(X4,sK16(X4))
| ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ~ g_both(X4,X8) ),
inference(cnf_transformation,[],[f55]) ).
fof(f90,plain,
! [X2,X8,X6,X4] :
( sP3
| sP2
| ~ g_true_only(sK14,X2)
| sP1(sK14)
| h_true_only(X4,sK16(X4))
| ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ~ g_both(X4,X8) ),
inference(cnf_transformation,[],[f55]) ).
fof(f91,plain,
! [X1,X8,X6,X4] :
( sP3
| sP2
| h_false_only(sK14,X1)
| sP1(sK14)
| h_true_only(X4,sK16(X4))
| ~ h_both(X4,X6)
| g_true_only(X4,sK17(X4))
| ~ g_both(X4,X8) ),
inference(cnf_transformation,[],[f55]) ).
fof(f92,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f93,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f95,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f98,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f99,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f100,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f101,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f102,plain,
! [X0,X1] :
( h_true(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f103,plain,
! [X0,X1] :
( ~ h_false(X0,X1)
| ~ h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f104,plain,
! [X0,X1] :
( h_true_only(X0,X1)
| h_false(X0,X1)
| ~ h_true(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f105,plain,
! [X0,X1] :
( h_true(X0,X1)
| ~ h_both(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f106,plain,
! [X0,X1] :
( h_false(X0,X1)
| ~ h_both(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f107,plain,
! [X0,X1] :
( h_both(X0,X1)
| ~ h_false(X0,X1)
| ~ h_true(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f108,plain,
! [X0,X1] :
( h_false(X0,X1)
| ~ h_false_only(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f109,plain,
! [X0,X1] :
( ~ h_true(X0,X1)
| ~ h_false_only(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_true(X0,X1)
| ~ h_false(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f111,plain,
! [X0,X1] :
( h_false_only(X0,X1)
| h_both(X0,X1)
| h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
cnf(c_49,plain,
( ~ sP3
| h_false_only(sK4,X0)
| h_both(sK4,X0) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_50,plain,
( ~ sP3
| h_false_only(sK4,X0)
| g_true_only(sK4,sK5) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_51,plain,
( ~ sP3
| h_false_only(sK4,X0)
| h_both(sK4,X0)
| g_both(sK4,sK5) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_52,plain,
( ~ sP3
| g_true_only(sK4,sK5)
| g_both(sK4,sK5) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_53,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ sP2
| h_true_only(X0,sK7(X0,X2))
| h_false_only(X0,X3)
| h_both(X0,X3)
| g_false_only(X0,X2) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_54,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ sP2
| h_true_only(X0,sK7(X0,X2))
| g_true_only(X0,sK6(X0))
| h_false_only(X0,X3)
| g_false_only(X0,X2) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_55,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ sP2
| h_true_only(X0,sK7(X0,X2))
| g_both(X0,sK6(X0))
| h_false_only(X0,X3)
| h_both(X0,X3)
| g_false_only(X0,X2) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_57,plain,
( ~ h_true_only(X0,X1)
| ~ sP1(X0)
| h_false_only(X0,X2) ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_58,plain,
( ~ sP1(X0)
| h_both(X0,sK8(X0))
| h_false_only(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_59,plain,
( ~ sP1(X0)
| g_true_only(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_60,plain,
( ~ h_false_only(X0,sK10(X0))
| ~ g_both(X0,X1)
| ~ sP0
| g_true_only(X0,sK11(X0)) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_61,plain,
( ~ h_false_only(X0,sK12(X0))
| ~ g_true_only(X0,X1)
| ~ sP0 ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_62,plain,
( ~ h_both(X0,X1)
| ~ g_true_only(X0,X2)
| ~ sP0
| h_true_only(X0,sK13(X0)) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_63,negated_conjecture,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| h_false_only(sK14,X3)
| sP1(sK14)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_64,negated_conjecture,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ g_true_only(sK14,X3)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| sP1(sK14)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_65,negated_conjecture,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_both(sK14,sK15)
| sP1(sK14)
| sP3
| sP2 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_66,negated_conjecture,
( ~ h_false_only(X0,sK18(X0,X1))
| ~ g_both(X0,X1)
| sP0 ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_67,negated_conjecture,
( ~ h_false_only(X0,sK18(X0,X1))
| ~ g_true_only(X0,X1)
| sP0 ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_68,negated_conjecture,
( ~ h_both(X0,sK18(X0,X1))
| ~ g_true_only(X0,X1)
| sP0 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_69,negated_conjecture,
( ~ h_true_only(sK19,X0)
| ~ h_true_only(sK21,X1) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_70,negated_conjecture,
( ~ h_true_only(sK19,X0)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_71,negated_conjecture,
( ~ h_true_only(sK21,X0)
| ~ g_false_only(sK19,sK20) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_72,negated_conjecture,
( ~ g_false_only(sK19,sK20)
| ~ g_false_only(sK21,sK22) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_73,plain,
( ~ g_true(X0,X1)
| g_true_only(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_74,plain,
( ~ g_true_only(X0,X1)
| ~ g_false(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_75,plain,
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_78,plain,
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_79,plain,
( ~ g_false(X0,X1)
| g_false_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_80,plain,
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_81,plain,
( ~ g_false_only(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_82,plain,
( g_true_only(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
cnf(c_83,plain,
( ~ h_true(X0,X1)
| h_true_only(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_84,plain,
( ~ h_true_only(X0,X1)
| ~ h_false(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_85,plain,
( ~ h_true_only(X0,X1)
| h_true(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_86,plain,
( ~ h_false(X0,X1)
| ~ h_true(X0,X1)
| h_both(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_87,plain,
( ~ h_both(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_88,plain,
( ~ h_both(X0,X1)
| h_true(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_89,plain,
( ~ h_false(X0,X1)
| h_false_only(X0,X1)
| h_true(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_90,plain,
( ~ h_false_only(X0,X1)
| ~ h_true(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_91,plain,
( ~ h_false_only(X0,X1)
| h_false(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_92,plain,
( h_false_only(X0,X1)
| h_both(X0,X1)
| h_true_only(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_133,plain,
( h_false_only(X0,X1)
| h_true(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_89,c_88,c_85,c_92]) ).
cnf(c_136,plain,
( h_true_only(X0,X1)
| h_false(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_83,c_91,c_83,c_133]) ).
cnf(c_139,plain,
( g_false_only(X0,X1)
| g_true(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_79,c_78,c_75,c_82]) ).
cnf(c_142,plain,
( g_true_only(X0,X1)
| g_false(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_81,c_73,c_139]) ).
cnf(c_145,plain,
( h_both(sK4,X0)
| h_false_only(sK4,X0)
| ~ sP3 ),
inference(global_subsumption_just,[status(thm)],[c_51,c_49]) ).
cnf(c_146,plain,
( ~ sP3
| h_false_only(sK4,X0)
| h_both(sK4,X0) ),
inference(renaming,[status(thm)],[c_145]) ).
cnf(c_147,plain,
( h_true_only(X0,sK7(X0,X2))
| ~ sP2
| ~ g_both(X0,X2)
| ~ h_both(X0,X1)
| h_false_only(X0,X3)
| h_both(X0,X3)
| g_false_only(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_53]) ).
cnf(c_148,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ sP2
| h_true_only(X0,sK7(X0,X2))
| h_false_only(X0,X3)
| h_both(X0,X3)
| g_false_only(X0,X2) ),
inference(renaming,[status(thm)],[c_147]) ).
cnf(c_151,plain,
( h_false(X0,X1)
| h_true_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_136]) ).
cnf(c_152,plain,
( h_true_only(X0,X1)
| h_false(X0,X1) ),
inference(renaming,[status(thm)],[c_151]) ).
cnf(c_153,plain,
( ~ h_true(X0,X1)
| ~ h_false_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
cnf(c_154,plain,
( ~ h_false_only(X0,X1)
| ~ h_true(X0,X1) ),
inference(renaming,[status(thm)],[c_153]) ).
cnf(c_157,plain,
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
cnf(c_158,plain,
( ~ g_true_only(X0,X1)
| ~ g_false(X0,X1) ),
inference(renaming,[status(thm)],[c_157]) ).
cnf(c_159,plain,
( g_false(X0,X1)
| g_true_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_142]) ).
cnf(c_160,plain,
( g_true_only(X0,X1)
| g_false(X0,X1) ),
inference(renaming,[status(thm)],[c_159]) ).
cnf(c_161,plain,
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
cnf(c_162,plain,
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(renaming,[status(thm)],[c_161]) ).
cnf(c_163,plain,
( g_true(X0,X1)
| g_false_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_139]) ).
cnf(c_164,plain,
( g_false_only(X0,X1)
| g_true(X0,X1) ),
inference(renaming,[status(thm)],[c_163]) ).
cnf(c_169,plain,
( ~ sP1(X0)
| g_true_only(X0,sK9(X0)) ),
inference(prop_impl_just,[status(thm)],[c_59]) ).
cnf(c_171,plain,
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_78]) ).
cnf(c_201,plain,
( h_true(X0,X1)
| h_false(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_91,c_85,c_83,c_133]) ).
cnf(c_202,plain,
( h_false(X0,X1)
| h_true(X0,X1) ),
inference(renaming,[status(thm)],[c_201]) ).
cnf(c_276,plain,
( ~ sP1(X0)
| h_false_only(X0,X1)
| h_false(X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_57,c_152]) ).
cnf(c_277,plain,
( ~ h_true(X0,X1)
| ~ sP1(X0)
| h_both(X0,sK8(X0)) ),
inference(bin_hyper_res,[status(thm)],[c_58,c_154]) ).
cnf(c_278,plain,
( ~ h_false_only(X0,sK12(X0))
| ~ sP0
| g_false(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_61,c_160]) ).
cnf(c_279,negated_conjecture,
( ~ h_false_only(X0,sK18(X0,X1))
| g_false(X0,X1)
| sP0 ),
inference(bin_hyper_res,[status(thm)],[c_67,c_160]) ).
cnf(c_280,negated_conjecture,
( ~ h_both(X0,sK18(X0,X1))
| g_false(X0,X1)
| sP0 ),
inference(bin_hyper_res,[status(thm)],[c_68,c_160]) ).
cnf(c_281,plain,
( ~ g_false(X0,X1)
| ~ g_true(X0,X1)
| g_both(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_82,c_162,c_158]) ).
cnf(c_547,plain,
( ~ g_false(X0,X1)
| g_both(X0,X1)
| g_false_only(X0,X1) ),
inference(resolution,[status(thm)],[c_164,c_281]) ).
cnf(c_558,plain,
( ~ g_both(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(resolution,[status(thm)],[c_171,c_162]) ).
cnf(c_574,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ sP2
| h_true_only(X0,sK7(X0,X2))
| h_false_only(X0,X3)
| h_both(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_148,c_558]) ).
cnf(c_575,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ sP2
| h_true_only(X0,sK7(X0,X2))
| g_true_only(X0,sK6(X0))
| h_false_only(X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_558]) ).
cnf(c_2167,plain,
( ~ sP3
| h_both(sK4,sK18(sK4,X0))
| g_false(sK4,X0)
| sP0 ),
inference(resolution,[status(thm)],[c_146,c_279]) ).
cnf(c_2177,plain,
( ~ sP3
| g_false(sK4,X0)
| sP0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2167,c_280]) ).
cnf(c_2559,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ g_both(sK14,X3)
| ~ sP0
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_true_only(sK14,sK11(sK14))
| sP1(sK14)
| sP3
| sP2 ),
inference(resolution,[status(thm)],[c_60,c_63]) ).
cnf(c_2581,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ g_both(sK14,X3)
| ~ sP0
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| sP1(sK14)
| sP3
| sP2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2559,c_64]) ).
cnf(c_2650,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ g_both(sK14,X3)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| sP1(sK14)
| sP3
| sP2
| sP0 ),
inference(resolution,[status(thm)],[c_63,c_66]) ).
cnf(c_2652,plain,
( sP2
| sP3
| sP1(sK14)
| h_true_only(X0,sK16(X0))
| g_true_only(X0,sK17(X0))
| ~ g_both(sK14,X3)
| ~ g_both(X0,X2)
| ~ h_both(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2650,c_2581,c_2650]) ).
cnf(c_2653,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ g_both(sK14,X3)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| sP1(sK14)
| sP3
| sP2 ),
inference(renaming,[status(thm)],[c_2652]) ).
cnf(c_2816,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| sP1(sK14)
| sP3
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_65,c_2653]) ).
cnf(c_2823,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| ~ h_true(sK14,X3)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| h_both(sK14,sK8(sK14))
| sP3
| sP2 ),
inference(resolution,[status(thm)],[c_277,c_2816]) ).
cnf(c_2853,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| h_false_only(sK14,X3)
| h_false(sK14,X4)
| sP3
| sP2 ),
inference(resolution,[status(thm)],[c_276,c_2816]) ).
cnf(c_2880,plain,
( ~ h_both(X0,X1)
| ~ g_both(X0,X2)
| g_true_only(X0,sK17(X0))
| h_true_only(X0,sK16(X0))
| g_true_only(sK14,sK9(sK14))
| sP3
| sP2 ),
inference(resolution,[status(thm)],[c_169,c_2816]) ).
cnf(c_4471,plain,
( h_false(X0,X1)
| h_true_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_136]) ).
cnf(c_4472,plain,
( h_true_only(X0,X1)
| h_false(X0,X1) ),
inference(renaming,[status(thm)],[c_4471]) ).
cnf(c_4475,plain,
( h_true(X0,X1)
| h_false_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_133]) ).
cnf(c_4476,plain,
( h_false_only(X0,X1)
| h_true(X0,X1) ),
inference(renaming,[status(thm)],[c_4475]) ).
cnf(c_4479,plain,
( g_false(X0,X1)
| g_true_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_142]) ).
cnf(c_4480,plain,
( g_true_only(X0,X1)
| g_false(X0,X1) ),
inference(renaming,[status(thm)],[c_4479]) ).
cnf(c_4515,plain,
( h_true(X0,X1)
| h_false(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_202]) ).
cnf(c_4516,plain,
( h_false(X0,X1)
| h_true(X0,X1) ),
inference(renaming,[status(thm)],[c_4515]) ).
cnf(c_6579,plain,
( h_true_only(X0,sK16(X0))
| ~ g_both(X0,X1)
| g_true_only(X0,sK17(X0))
| ~ h_both(X0,X2)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_2880]) ).
cnf(c_6580,plain,
( g_true_only(sK14,sK9(sK14))
| sP3
| sP2
| sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2880]) ).
cnf(c_6581,plain,
( h_false_only(sK14,X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_2853]) ).
cnf(c_6582,plain,
( h_false(sK14,X0)
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_2853]) ).
cnf(c_6583,plain,
( sP3
| sP2
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2853]) ).
cnf(c_6584,plain,
( ~ h_true(sK14,X0)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_2823]) ).
cnf(c_6585,plain,
( h_both(sK14,sK8(sK14))
| sP3
| sP2
| sP0_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2823]) ).
cnf(c_6586,negated_conjecture,
( ~ h_true_only(sK21,X0)
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_69]) ).
cnf(c_6587,negated_conjecture,
( ~ h_true_only(sK19,X0)
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_69]) ).
cnf(c_6588,negated_conjecture,
( sP4_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
cnf(c_6589,plain,
( h_false_only(sK4,X0)
| ~ sP6_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_50]) ).
cnf(c_6590,plain,
( ~ sP3
| g_true_only(sK4,sK5)
| sP6_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_50]) ).
cnf(c_6591,negated_conjecture,
( ~ h_both(X0,sK18(X0,X1))
| g_false(X0,X1)
| sP0 ),
inference(demodulation,[status(thm)],[c_280]) ).
cnf(c_6592,negated_conjecture,
( ~ h_false_only(X0,sK18(X0,X1))
| g_false(X0,X1)
| sP0 ),
inference(demodulation,[status(thm)],[c_279]) ).
cnf(c_6594,negated_conjecture,
( ~ h_true_only(sK21,X0)
| ~ g_false_only(sK19,sK20) ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_6595,negated_conjecture,
( ~ h_true_only(sK19,X0)
| ~ g_false_only(sK21,sK22) ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_6596,negated_conjecture,
( sP4_iProver_def
| sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_6588]) ).
cnf(c_6597,negated_conjecture,
( ~ h_true_only(sK19,X0)
| ~ sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_6587]) ).
cnf(c_6598,negated_conjecture,
( ~ h_true_only(sK21,X0)
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_6586]) ).
cnf(c_6599,negated_conjecture,
( ~ h_false_only(X0,sK18(X0,X1))
| ~ g_both(X0,X1)
| sP0 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_6607,plain,
( ~ g_false(sK21,sK22)
| g_both(sK21,sK22)
| g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_6608,plain,
( ~ g_false(sK19,sK20)
| g_both(sK19,sK20)
| g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_547]) ).
cnf(c_6610,plain,
( ~ h_false_only(sK21,sK18(sK21,sK22))
| ~ g_both(sK21,sK22)
| sP0 ),
inference(instantiation,[status(thm)],[c_6599]) ).
cnf(c_6612,plain,
( ~ h_false_only(sK19,sK18(sK19,sK20))
| ~ g_both(sK19,sK20)
| sP0 ),
inference(instantiation,[status(thm)],[c_6599]) ).
cnf(c_6613,plain,
( g_true_only(sK21,sK22)
| g_false(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_4480]) ).
cnf(c_6616,plain,
( ~ h_false_only(sK21,sK18(sK21,sK22))
| g_false(sK21,sK22)
| sP0 ),
inference(instantiation,[status(thm)],[c_6592]) ).
cnf(c_6617,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| g_false(sK21,sK22)
| sP0 ),
inference(instantiation,[status(thm)],[c_6591]) ).
cnf(c_6618,plain,
( g_true_only(sK19,sK20)
| g_false(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_4480]) ).
cnf(c_6621,plain,
( ~ h_false_only(sK19,sK18(sK19,sK20))
| g_false(sK19,sK20)
| sP0 ),
inference(instantiation,[status(thm)],[c_6592]) ).
cnf(c_6622,plain,
( ~ h_both(sK19,sK18(sK19,sK20))
| g_false(sK19,sK20)
| sP0 ),
inference(instantiation,[status(thm)],[c_6591]) ).
cnf(c_6623,plain,
( ~ h_both(sK21,X0)
| ~ g_both(sK21,X1)
| ~ sP2
| h_true_only(sK21,sK7(sK21,X1))
| h_false_only(sK21,sK18(sK21,sK22))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_6627,plain,
( h_false_only(sK21,sK18(sK21,sK22))
| h_true(sK21,sK18(sK21,sK22)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_6628,plain,
( ~ h_false_only(sK21,sK10(sK21))
| ~ g_both(sK21,sK22)
| ~ sP0
| g_true_only(sK21,sK11(sK21)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_6633,plain,
( ~ g_true_only(sK21,sK11(sK21))
| ~ g_false(sK21,sK11(sK21)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_6634,plain,
( ~ h_both(sK21,X0)
| ~ g_both(sK21,X1)
| ~ sP2
| h_true_only(sK21,sK7(sK21,X1))
| h_false_only(sK21,sK10(sK21))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_6638,plain,
( h_false_only(sK21,sK10(sK21))
| h_true(sK21,sK10(sK21)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_6639,plain,
( ~ h_false(sK21,sK10(sK21))
| ~ h_true(sK21,sK10(sK21))
| h_both(sK21,sK10(sK21)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_6646,plain,
( ~ h_both(sK21,sK10(sK21))
| ~ g_both(sK21,X0)
| ~ sP2
| h_true_only(sK21,sK7(sK21,X0))
| h_false_only(sK21,sK10(sK21))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_6634]) ).
cnf(c_6658,plain,
( ~ h_true_only(sK21,sK13(sK21))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_6659,plain,
( ~ h_true_only(sK21,sK13(sK21))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_6663,plain,
( ~ h_both(sK21,sK10(sK21))
| ~ g_both(sK21,sK22)
| ~ sP2
| h_true_only(sK21,sK7(sK21,sK22))
| h_false_only(sK21,sK10(sK21))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_6646]) ).
cnf(c_6666,plain,
( ~ h_false_only(sK19,sK10(sK19))
| ~ g_both(sK19,sK20)
| ~ sP0
| g_true_only(sK19,sK11(sK19)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_6672,plain,
( h_true_only(sK21,sK10(sK21))
| h_false(sK21,sK10(sK21)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_6674,plain,
( ~ h_both(sK19,X0)
| ~ g_both(sK19,X1)
| ~ sP2
| h_true_only(sK19,sK7(sK19,X1))
| h_false_only(sK19,sK10(sK19))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_6678,plain,
( h_false_only(sK19,sK10(sK19))
| h_true(sK19,sK10(sK19)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_6679,plain,
( ~ h_false(sK19,sK10(sK19))
| ~ h_true(sK19,sK10(sK19))
| h_both(sK19,sK10(sK19)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_6681,plain,
( ~ g_true_only(sK19,sK6(sK19))
| ~ g_false(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_6693,plain,
( ~ g_true_only(sK19,sK11(sK19))
| ~ g_false(sK19,sK11(sK19)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_6695,plain,
( h_true_only(sK19,sK10(sK19))
| h_false(sK19,sK10(sK19)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_6697,plain,
( ~ h_false_only(sK19,sK12(sK19))
| ~ sP0
| g_false(sK19,sK11(sK19)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_6711,plain,
( ~ h_true_only(sK19,sK10(sK19))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_6714,plain,
( ~ h_false_only(sK21,sK12(sK21))
| ~ sP0
| g_false(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_6722,plain,
( ~ h_both(sK19,X0)
| ~ g_both(sK19,X1)
| ~ sP2
| h_true_only(sK19,sK7(sK19,X1))
| h_false_only(sK19,sK12(sK19))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_6726,plain,
( h_false_only(sK19,sK12(sK19))
| h_true(sK19,sK12(sK19)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_6731,plain,
( ~ h_both(sK21,X0)
| ~ g_both(sK21,X1)
| ~ sP2
| h_true_only(sK21,sK7(sK21,X1))
| h_false_only(sK21,sK12(sK21))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_6735,plain,
( h_false_only(sK21,sK12(sK21))
| h_true(sK21,sK12(sK21)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_6742,plain,
( ~ h_false(sK19,sK12(sK19))
| ~ h_true(sK19,sK12(sK19))
| h_both(sK19,sK12(sK19)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_6743,plain,
( ~ h_false_only(sK19,sK12(sK19))
| ~ h_true(sK19,sK12(sK19)) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_6750,plain,
( ~ h_false(sK21,sK12(sK21))
| ~ h_true(sK21,sK12(sK21))
| h_both(sK21,sK12(sK21)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_6752,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_true_only(sK21,X0)
| ~ sP0
| h_true_only(sK21,sK13(sK21)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_6757,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_both(sK21,X0)
| ~ sP2
| h_true_only(sK21,sK7(sK21,X0))
| h_false_only(sK21,sK12(sK21))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_6731]) ).
cnf(c_6762,plain,
( h_true_only(sK19,sK12(sK19))
| h_false(sK19,sK12(sK19)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_6768,plain,
( h_true_only(sK21,sK12(sK21))
| h_false(sK21,sK12(sK21)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_6778,plain,
( ~ h_true_only(sK19,sK12(sK19))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_6783,plain,
( ~ h_true_only(sK21,sK12(sK21))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_6784,plain,
( ~ h_true_only(sK21,sK12(sK21))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_6795,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_true_only(sK21,sK22)
| ~ sP0
| h_true_only(sK21,sK13(sK21)) ),
inference(instantiation,[status(thm)],[c_6752]) ).
cnf(c_6802,plain,
( ~ h_both(sK19,sK10(sK19))
| ~ g_both(sK19,X0)
| ~ sP2
| h_true_only(sK19,sK7(sK19,X0))
| h_false_only(sK19,sK10(sK19))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_6674]) ).
cnf(c_6810,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_true_only(sK19,X0)
| ~ sP0
| h_true_only(sK19,sK13(sK19)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_6812,plain,
( ~ h_both(sK19,sK12(sK19))
| h_true(sK19,sK12(sK19)) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_6816,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_both(sK19,X0)
| ~ sP2
| h_true_only(sK19,sK7(sK19,X0))
| h_false_only(sK19,sK12(sK19))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_6722]) ).
cnf(c_6823,plain,
( ~ h_true_only(sK19,sK7(sK19,sK20))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_6825,plain,
( ~ h_true_only(sK19,sK13(sK19))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_6826,plain,
( ~ h_both(sK19,sK10(sK19))
| ~ g_both(sK19,sK20)
| ~ sP2
| h_true_only(sK19,sK7(sK19,sK20))
| h_false_only(sK19,sK10(sK19))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_6802]) ).
cnf(c_6843,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_both(sK19,sK20)
| ~ sP2
| h_true_only(sK19,sK7(sK19,sK20))
| h_false_only(sK19,sK12(sK19))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_6816]) ).
cnf(c_6863,plain,
( ~ h_false_only(sK4,sK12(sK4))
| ~ sP0
| g_false(sK4,sK5) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_6911,plain,
( ~ sP3
| h_false_only(sK4,sK12(sK4))
| h_both(sK4,sK12(sK4)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_6924,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_true_only(sK19,sK6(sK19))
| ~ sP0
| h_true_only(sK19,sK13(sK19)) ),
inference(instantiation,[status(thm)],[c_6810]) ).
cnf(c_6932,plain,
( ~ h_false_only(sK19,sK12(sK19))
| ~ sP0
| g_false(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_6936,plain,
( ~ h_false_only(sK19,sK18(sK19,sK6(sK19)))
| g_false(sK19,sK6(sK19))
| sP0 ),
inference(instantiation,[status(thm)],[c_6592]) ).
cnf(c_6937,plain,
( ~ h_both(sK19,sK18(sK19,sK6(sK19)))
| g_false(sK19,sK6(sK19))
| sP0 ),
inference(instantiation,[status(thm)],[c_6591]) ).
cnf(c_6961,plain,
( ~ h_false_only(sK14,sK12(sK14))
| ~ sP0
| g_false(sK14,sK9(sK14)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_6971,plain,
( h_false_only(sK14,sK12(sK14))
| h_true(sK14,sK12(sK14)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_6972,plain,
( ~ sP1_iProver_def
| h_false_only(sK14,sK12(sK14)) ),
inference(instantiation,[status(thm)],[c_6581]) ).
cnf(c_7112,plain,
( ~ sP1_iProver_def
| g_false(sK14,X0)
| sP0 ),
inference(superposition,[status(thm)],[c_6581,c_6592]) ).
cnf(c_7118,plain,
( ~ h_true(sK14,sK12(sK14))
| ~ sP3_iProver_def ),
inference(instantiation,[status(thm)],[c_6584]) ).
cnf(c_7125,plain,
( ~ h_both(sK19,X0)
| ~ g_both(sK19,sK20)
| ~ sP0_iProver_def
| g_true_only(sK19,sK17(sK19))
| h_true_only(sK19,sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_6579]) ).
cnf(c_7186,plain,
( ~ g_both(sK4,X0)
| ~ sP6_iProver_def
| sP0 ),
inference(superposition,[status(thm)],[c_6589,c_6599]) ).
cnf(c_7210,plain,
( ~ g_true_only(sK19,sK17(sK19))
| ~ g_false(sK19,sK17(sK19)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_7211,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_true_only(sK19,sK17(sK19))
| ~ sP0
| h_true_only(sK19,sK13(sK19)) ),
inference(instantiation,[status(thm)],[c_6810]) ).
cnf(c_7215,plain,
( ~ h_both(sK19,sK10(sK19))
| ~ g_both(sK19,sK20)
| ~ sP0_iProver_def
| g_true_only(sK19,sK17(sK19))
| h_true_only(sK19,sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_7125]) ).
cnf(c_7217,plain,
( ~ h_true_only(sK19,sK16(sK19))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_7220,plain,
( ~ h_false_only(sK19,sK12(sK19))
| ~ sP0
| g_false(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_7239,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_true_only(sK19,sK20)
| ~ sP0
| h_true_only(sK19,sK13(sK19)) ),
inference(instantiation,[status(thm)],[c_6810]) ).
cnf(c_7311,plain,
( h_true(sK14,sK8(sK14))
| sP3
| sP2
| sP0_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_6585,c_88]) ).
cnf(c_7349,plain,
( ~ h_both(sK21,X0)
| ~ g_both(sK21,sK22)
| ~ sP0_iProver_def
| g_true_only(sK21,sK17(sK21))
| h_true_only(sK21,sK16(sK21)) ),
inference(instantiation,[status(thm)],[c_6579]) ).
cnf(c_7354,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_both(sK21,sK22)
| ~ sP2
| h_true_only(sK21,sK7(sK21,sK22))
| h_false_only(sK21,sK12(sK21))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_6757]) ).
cnf(c_7372,plain,
( ~ h_true_only(sK21,sK10(sK21))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_7373,plain,
( ~ h_true_only(sK21,sK10(sK21))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_7374,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_both(sK21,sK22)
| ~ sP0_iProver_def
| g_true_only(sK21,sK17(sK21))
| h_true_only(sK21,sK16(sK21)) ),
inference(instantiation,[status(thm)],[c_7349]) ).
cnf(c_7408,plain,
( ~ sP3
| h_both(sK4,sK18(sK4,X0))
| g_false(sK4,X0)
| sP0 ),
inference(superposition,[status(thm)],[c_49,c_6592]) ).
cnf(c_7436,plain,
( ~ h_both(sK21,sK10(sK21))
| ~ g_both(sK21,sK22)
| ~ sP0_iProver_def
| g_true_only(sK21,sK17(sK21))
| h_true_only(sK21,sK16(sK21)) ),
inference(instantiation,[status(thm)],[c_7349]) ).
cnf(c_7445,plain,
( ~ h_true_only(sK21,sK16(sK21))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_7446,plain,
( ~ h_true_only(sK21,sK16(sK21))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_7450,plain,
( ~ g_true_only(sK21,sK17(sK21))
| ~ g_false(sK21,sK17(sK21)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_7452,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_true_only(sK21,sK17(sK21))
| ~ sP0
| h_true_only(sK21,sK13(sK21)) ),
inference(instantiation,[status(thm)],[c_6752]) ).
cnf(c_7456,plain,
( ~ h_false_only(sK21,sK12(sK21))
| ~ sP0
| g_false(sK21,sK17(sK21)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_7460,plain,
( ~ h_false_only(sK21,sK18(sK21,sK17(sK21)))
| g_false(sK21,sK17(sK21))
| sP0 ),
inference(instantiation,[status(thm)],[c_6592]) ).
cnf(c_7461,plain,
( ~ h_both(sK21,sK18(sK21,sK17(sK21)))
| g_false(sK21,sK17(sK21))
| sP0 ),
inference(instantiation,[status(thm)],[c_6591]) ).
cnf(c_7469,plain,
( ~ sP3
| ~ sP6_iProver_def
| g_true_only(sK4,sK5)
| sP0 ),
inference(superposition,[status(thm)],[c_52,c_7186]) ).
cnf(c_7495,plain,
( ~ h_false_only(sK21,sK12(sK21))
| ~ sP0
| g_false(sK21,sK11(sK21)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_7505,plain,
( ~ g_false(sK14,sK9(sK14))
| sP3
| sP2
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_6580,c_74]) ).
cnf(c_7565,plain,
( ~ h_true_only(sK19,sK10(sK19))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_7596,plain,
( ~ sP3_iProver_def
| h_false_only(sK14,X0) ),
inference(superposition,[status(thm)],[c_4476,c_6584]) ).
cnf(c_7623,plain,
( ~ h_true_only(sK19,sK12(sK19))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_7650,plain,
( ~ h_true_only(sK19,sK16(sK19))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_7675,plain,
( ~ sP3_iProver_def
| g_false(sK14,X0)
| sP0 ),
inference(superposition,[status(thm)],[c_7596,c_6592]) ).
cnf(c_7697,plain,
( ~ h_both(sK19,sK12(sK19))
| ~ g_both(sK19,sK20)
| ~ sP0_iProver_def
| g_true_only(sK19,sK17(sK19))
| h_true_only(sK19,sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_7125]) ).
cnf(c_7707,plain,
( ~ h_false_only(sK4,sK10(sK4))
| ~ g_both(sK4,sK5)
| ~ sP0
| g_true_only(sK4,sK11(sK4)) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_7768,plain,
( ~ sP3
| g_false(sK4,X0)
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_7408,c_2177]) ).
cnf(c_7865,plain,
( ~ sP6_iProver_def
| h_false_only(sK4,sK10(sK4)) ),
inference(instantiation,[status(thm)],[c_6589]) ).
cnf(c_7879,plain,
( ~ sP6_iProver_def
| h_false_only(sK4,sK12(sK4)) ),
inference(instantiation,[status(thm)],[c_6589]) ).
cnf(c_7892,plain,
( ~ h_both(sK4,sK12(sK4))
| ~ g_true_only(sK4,X0)
| ~ sP0
| h_true_only(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_7917,plain,
( ~ h_both(sK4,sK12(sK4))
| ~ g_true_only(sK4,sK5)
| ~ sP0
| h_true_only(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_7892]) ).
cnf(c_7937,plain,
( ~ g_true_only(sK4,sK11(sK4))
| ~ g_false(sK4,sK11(sK4)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_7969,plain,
( ~ h_false_only(sK4,sK12(sK4))
| ~ sP0
| g_false(sK4,sK11(sK4)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_8080,plain,
( ~ h_true_only(sK4,sK13(sK4))
| ~ h_false(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_8082,plain,
( h_false(sK4,sK13(sK4))
| h_true(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_4516]) ).
cnf(c_8084,plain,
( ~ h_both(sK4,sK13(sK4))
| h_false(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_8132,plain,
( ~ h_false_only(sK4,sK13(sK4))
| ~ h_true(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_8137,plain,
( ~ sP3
| h_false_only(sK4,sK13(sK4))
| h_both(sK4,sK13(sK4)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_8163,plain,
( ~ g_true_only(sK21,sK6(sK21))
| ~ g_false(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_8165,plain,
( ~ h_both(sK21,sK12(sK21))
| ~ g_true_only(sK21,sK6(sK21))
| ~ sP0
| h_true_only(sK21,sK13(sK21)) ),
inference(instantiation,[status(thm)],[c_6752]) ).
cnf(c_8183,plain,
( ~ h_true_only(sK19,sK7(sK19,sK20))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_8238,plain,
( ~ h_false(X0,X1)
| h_false_only(X0,X1)
| h_both(X0,X1) ),
inference(superposition,[status(thm)],[c_4476,c_86]) ).
cnf(c_8265,plain,
( ~ h_true_only(sK21,sK7(sK21,sK22))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_8266,plain,
( ~ h_true_only(sK21,sK7(sK21,sK22))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_8275,plain,
( ~ g_true_only(sK14,X0)
| ~ sP0
| h_true_only(sK14,sK13(sK14))
| sP3
| sP2
| sP0_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_6585,c_62]) ).
cnf(c_8359,plain,
( ~ h_both(sK14,sK8(sK14))
| ~ g_true_only(sK14,X0)
| ~ sP0
| h_true_only(sK14,sK13(sK14)) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_8391,plain,
( g_true_only(sK4,sK5)
| ~ sP3 ),
inference(global_subsumption_just,[status(thm)],[c_6590,c_52,c_6590,c_7469,c_7707,c_7865,c_7879,c_7937,c_7969]) ).
cnf(c_8392,plain,
( ~ sP3
| g_true_only(sK4,sK5) ),
inference(renaming,[status(thm)],[c_8391]) ).
cnf(c_8397,plain,
( ~ g_false(sK4,sK5)
| ~ sP3 ),
inference(superposition,[status(thm)],[c_8392,c_74]) ).
cnf(c_8400,plain,
( g_true_only(sK4,sK5)
| ~ sP3 ),
inference(global_subsumption_just,[status(thm)],[c_6590,c_52,c_6590,c_7469,c_7707,c_7865,c_7879,c_7937,c_7969]) ).
cnf(c_8401,plain,
( ~ sP3
| g_true_only(sK4,sK5) ),
inference(renaming,[status(thm)],[c_8400]) ).
cnf(c_8406,plain,
( ~ g_false(sK4,sK5)
| ~ sP3 ),
inference(superposition,[status(thm)],[c_8401,c_74]) ).
cnf(c_8414,plain,
( ~ sP3
| sP0 ),
inference(superposition,[status(thm)],[c_7768,c_8397]) ).
cnf(c_8421,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_8406,c_6863,c_6911,c_7917,c_8080,c_8084,c_8082,c_8132,c_8137,c_8392,c_8397,c_8414]) ).
cnf(c_8425,plain,
( g_true_only(sK14,sK9(sK14))
| sP2
| sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_6580,c_8421]) ).
cnf(c_8457,plain,
( ~ g_false(sK14,sK9(sK14))
| sP2
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_8425,c_74]) ).
cnf(c_8533,plain,
~ sP3,
inference(global_subsumption_just,[status(thm)],[c_8414,c_8421]) ).
cnf(c_8535,plain,
( h_both(sK14,sK8(sK14))
| sP2
| sP0_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_6585,c_8533]) ).
cnf(c_8536,plain,
( sP2
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_6583,c_8533]) ).
cnf(c_8537,plain,
( g_true_only(sK14,sK9(sK14))
| sP2
| sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_6580,c_8533]) ).
cnf(c_8556,plain,
( ~ sP3_iProver_def
| sP2
| sP0
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7675,c_8457]) ).
cnf(c_8557,plain,
( ~ sP1_iProver_def
| sP2
| sP0
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_7112,c_8457]) ).
cnf(c_8572,plain,
( sP0_iProver_def
| sP2
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_8536,c_6583,c_6863,c_6911,c_6961,c_6972,c_7505,c_7917,c_8080,c_8084,c_8082,c_8132,c_8137,c_8392,c_8397,c_8414,c_8557]) ).
cnf(c_8573,plain,
( sP2
| sP0_iProver_def
| sP2_iProver_def ),
inference(renaming,[status(thm)],[c_8572]) ).
cnf(c_8586,plain,
( ~ g_false(sK14,sK9(sK14))
| sP2
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_8537,c_74]) ).
cnf(c_8643,plain,
( sP0_iProver_def
| sP2
| h_true(sK14,sK8(sK14)) ),
inference(global_subsumption_just,[status(thm)],[c_7311,c_6863,c_6911,c_6961,c_6971,c_7118,c_7311,c_7505,c_7917,c_8080,c_8084,c_8082,c_8132,c_8137,c_8392,c_8397,c_8414,c_8556]) ).
cnf(c_8644,plain,
( h_true(sK14,sK8(sK14))
| sP2
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_8643]) ).
cnf(c_8653,plain,
( ~ sP3_iProver_def
| sP2
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_8644,c_6584]) ).
cnf(c_8671,plain,
( ~ h_both(sK14,sK8(sK14))
| ~ g_true_only(sK14,sK9(sK14))
| ~ sP0
| h_true_only(sK14,sK13(sK14)) ),
inference(instantiation,[status(thm)],[c_8359]) ).
cnf(c_8699,plain,
( ~ h_true_only(sK14,sK13(sK14))
| ~ h_false(sK14,sK13(sK14)) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_8713,plain,
( ~ sP2_iProver_def
| h_false(sK14,sK13(sK14)) ),
inference(instantiation,[status(thm)],[c_6582]) ).
cnf(c_8738,plain,
( sP0_iProver_def
| sP2
| h_both(sK14,sK8(sK14)) ),
inference(global_subsumption_just,[status(thm)],[c_8535,c_6585,c_6863,c_6911,c_7917,c_8080,c_8084,c_8082,c_8132,c_8137,c_8392,c_8397,c_8414,c_8653]) ).
cnf(c_8739,plain,
( h_both(sK14,sK8(sK14))
| sP2
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_8738]) ).
cnf(c_8783,plain,
( ~ h_true_only(sK19,sK13(sK19))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_8958,plain,
( sP0_iProver_def
| sP2
| ~ sP0 ),
inference(global_subsumption_just,[status(thm)],[c_8275,c_6580,c_6863,c_6911,c_7917,c_8080,c_8084,c_8082,c_8132,c_8137,c_8392,c_8397,c_8414,c_8573,c_8671,c_8699,c_8713,c_8739]) ).
cnf(c_8959,plain,
( ~ sP0
| sP2
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_8958]) ).
cnf(c_9050,plain,
( h_false_only(sK19,sK18(sK19,sK6(sK19)))
| h_true(sK19,sK18(sK19,sK6(sK19))) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_9061,plain,
( h_false_only(sK21,sK18(sK21,sK17(sK21)))
| h_true(sK21,sK18(sK21,sK17(sK21))) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_9062,plain,
( ~ h_false(sK21,sK18(sK21,sK22))
| ~ h_true(sK21,sK18(sK21,sK22))
| h_both(sK21,sK18(sK21,sK22)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_9134,plain,
( ~ sP2_iProver_def
| h_false_only(sK14,X0)
| h_both(sK14,X0) ),
inference(superposition,[status(thm)],[c_6582,c_8238]) ).
cnf(c_9149,plain,
( ~ h_false(sK19,sK18(sK19,sK6(sK19)))
| ~ h_true(sK19,sK18(sK19,sK6(sK19)))
| h_both(sK19,sK18(sK19,sK6(sK19))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_9158,plain,
( ~ h_false(sK21,sK18(sK21,sK17(sK21)))
| ~ h_true(sK21,sK18(sK21,sK17(sK21)))
| h_both(sK21,sK18(sK21,sK17(sK21))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_9229,plain,
( h_true_only(sK21,sK18(sK21,sK22))
| h_false(sK21,sK18(sK21,sK22)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_9243,plain,
( ~ sP2_iProver_def
| h_both(sK14,sK18(sK14,X0))
| g_false(sK14,X0)
| sP0 ),
inference(superposition,[status(thm)],[c_9134,c_6592]) ).
cnf(c_9332,plain,
( h_true_only(sK19,sK18(sK19,sK6(sK19)))
| h_false(sK19,sK18(sK19,sK6(sK19))) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_9346,plain,
( h_true_only(sK21,sK18(sK21,sK17(sK21)))
| h_false(sK21,sK18(sK21,sK17(sK21))) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_9354,plain,
( ~ h_true_only(sK21,sK18(sK21,sK22))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_9355,plain,
( ~ h_true_only(sK21,sK18(sK21,sK22))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_9364,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ g_both(sK21,X0)
| ~ sP2
| h_true_only(sK21,sK7(sK21,X0))
| h_false_only(sK21,sK18(sK21,sK22))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_6623]) ).
cnf(c_9365,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ g_both(sK21,sK22)
| ~ sP0_iProver_def
| g_true_only(sK21,sK17(sK21))
| h_true_only(sK21,sK16(sK21)) ),
inference(instantiation,[status(thm)],[c_7349]) ).
cnf(c_9379,plain,
( ~ sP2_iProver_def
| g_false(sK14,X0)
| sP0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_9243,c_6591]) ).
cnf(c_9383,plain,
( ~ sP2_iProver_def
| sP2
| sP0
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_9379,c_8586]) ).
cnf(c_9407,plain,
( ~ h_true_only(sK19,sK18(sK19,sK6(sK19)))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_9408,plain,
( ~ h_true_only(sK19,sK18(sK19,sK6(sK19)))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_9515,plain,
( ~ h_true_only(sK21,sK18(sK21,sK17(sK21)))
| ~ g_false_only(sK19,sK20) ),
inference(instantiation,[status(thm)],[c_6594]) ).
cnf(c_9516,plain,
( ~ h_true_only(sK21,sK18(sK21,sK17(sK21)))
| ~ sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_6598]) ).
cnf(c_9518,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ g_both(sK21,sK22)
| ~ sP2
| h_false_only(sK21,sK18(sK21,sK22))
| h_true_only(sK21,sK7(sK21,sK22))
| g_true_only(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_9364]) ).
cnf(c_9535,plain,
( ~ h_false_only(sK21,sK12(sK21))
| ~ sP0
| g_false(sK21,sK6(sK21)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_9539,plain,
( ~ h_false_only(sK21,sK18(sK21,sK6(sK21)))
| g_false(sK21,sK6(sK21))
| sP0 ),
inference(instantiation,[status(thm)],[c_6592]) ).
cnf(c_9540,plain,
( ~ h_both(sK21,sK18(sK21,sK6(sK21)))
| g_false(sK21,sK6(sK21))
| sP0 ),
inference(instantiation,[status(thm)],[c_6591]) ).
cnf(c_9542,plain,
( ~ h_both(sK21,X0)
| ~ g_both(sK21,X1)
| ~ sP2
| h_false_only(sK21,sK18(sK21,sK6(sK21)))
| h_both(sK21,sK18(sK21,sK6(sK21)))
| h_true_only(sK21,sK7(sK21,X1)) ),
inference(instantiation,[status(thm)],[c_574]) ).
cnf(c_9555,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ g_both(sK21,X0)
| ~ sP2
| h_false_only(sK21,sK18(sK21,sK6(sK21)))
| h_both(sK21,sK18(sK21,sK6(sK21)))
| h_true_only(sK21,sK7(sK21,X0)) ),
inference(instantiation,[status(thm)],[c_9542]) ).
cnf(c_9569,plain,
( ~ h_both(sK21,sK18(sK21,sK22))
| ~ g_both(sK21,sK22)
| ~ sP2
| h_false_only(sK21,sK18(sK21,sK6(sK21)))
| h_both(sK21,sK18(sK21,sK6(sK21)))
| h_true_only(sK21,sK7(sK21,sK22)) ),
inference(instantiation,[status(thm)],[c_9555]) ).
cnf(c_9570,plain,
( sP2
| sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_9383,c_8573,c_8959,c_9383]) ).
cnf(c_9902,plain,
( ~ h_both(sK19,X0)
| ~ g_both(sK19,X1)
| ~ sP2
| h_true_only(sK19,sK7(sK19,X1))
| h_false_only(sK19,sK18(sK19,sK20))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_575]) ).
cnf(c_9906,plain,
( h_false_only(sK19,sK18(sK19,sK20))
| h_true(sK19,sK18(sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_9917,plain,
( ~ h_false(sK19,sK18(sK19,sK20))
| ~ h_true(sK19,sK18(sK19,sK20))
| h_both(sK19,sK18(sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_9923,plain,
( h_true_only(sK19,sK18(sK19,sK20))
| h_false(sK19,sK18(sK19,sK20)) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_9931,plain,
( ~ h_true_only(sK19,sK18(sK19,sK20))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_9932,plain,
( ~ h_true_only(sK19,sK18(sK19,sK20))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_9948,plain,
( ~ h_both(sK19,sK18(sK19,sK20))
| ~ g_both(sK19,X0)
| ~ sP2
| h_true_only(sK19,sK7(sK19,X0))
| h_false_only(sK19,sK18(sK19,sK20))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_9902]) ).
cnf(c_9950,plain,
( ~ h_both(sK19,sK18(sK19,sK20))
| ~ g_both(sK19,sK20)
| ~ sP0_iProver_def
| g_true_only(sK19,sK17(sK19))
| h_true_only(sK19,sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_7125]) ).
cnf(c_10029,plain,
( ~ h_both(sK19,sK18(sK19,sK20))
| ~ g_both(sK19,sK20)
| ~ sP2
| h_false_only(sK19,sK18(sK19,sK20))
| h_true_only(sK19,sK7(sK19,sK20))
| g_true_only(sK19,sK6(sK19)) ),
inference(instantiation,[status(thm)],[c_9948]) ).
cnf(c_10044,plain,
( ~ h_false_only(sK19,sK12(sK19))
| ~ sP0
| g_false(sK19,sK17(sK19)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_10045,plain,
( g_true_only(sK19,sK17(sK19))
| g_false(sK19,sK17(sK19)) ),
inference(instantiation,[status(thm)],[c_4480]) ).
cnf(c_10048,plain,
( ~ h_false_only(sK19,sK18(sK19,sK17(sK19)))
| g_false(sK19,sK17(sK19))
| sP0 ),
inference(instantiation,[status(thm)],[c_6592]) ).
cnf(c_10049,plain,
( ~ h_both(sK19,sK18(sK19,sK17(sK19)))
| g_false(sK19,sK17(sK19))
| sP0 ),
inference(instantiation,[status(thm)],[c_6591]) ).
cnf(c_10102,plain,
( h_false_only(sK19,sK18(sK19,sK17(sK19)))
| h_true(sK19,sK18(sK19,sK17(sK19))) ),
inference(instantiation,[status(thm)],[c_4476]) ).
cnf(c_10151,plain,
( ~ h_false(sK19,sK18(sK19,sK17(sK19)))
| ~ h_true(sK19,sK18(sK19,sK17(sK19)))
| h_both(sK19,sK18(sK19,sK17(sK19))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_10160,plain,
( h_true_only(sK19,sK18(sK19,sK17(sK19)))
| h_false(sK19,sK18(sK19,sK17(sK19))) ),
inference(instantiation,[status(thm)],[c_4472]) ).
cnf(c_10168,plain,
( ~ h_true_only(sK19,sK18(sK19,sK17(sK19)))
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_6597]) ).
cnf(c_10169,plain,
( ~ h_true_only(sK19,sK18(sK19,sK17(sK19)))
| ~ g_false_only(sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6595]) ).
cnf(c_10170,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10168,c_10169,c_10160,c_10151,c_10102,c_10044,c_10045,c_10048,c_10049,c_10029,c_9950,c_9931,c_9932,c_9923,c_9917,c_9906,c_9570,c_9569,c_9535,c_9539,c_9540,c_9518,c_9515,c_9516,c_9407,c_9408,c_9365,c_9354,c_9355,c_9346,c_9332,c_9229,c_9158,c_9149,c_9062,c_9061,c_9050,c_8959,c_8783,c_8265,c_8266,c_8183,c_8165,c_8163,c_7697,c_7650,c_7623,c_7565,c_7495,c_7456,c_7460,c_7461,c_7452,c_7450,c_7445,c_7446,c_7436,c_7374,c_7372,c_7373,c_7354,c_7239,c_7220,c_7217,c_7215,c_7211,c_7210,c_6932,c_6936,c_6937,c_6924,c_6843,c_6826,c_6825,c_6823,c_6812,c_6795,c_6783,c_6784,c_6778,c_6768,c_6762,c_6750,c_6742,c_6743,c_6735,c_6726,c_6714,c_6711,c_6697,c_6695,c_6693,c_6681,c_6679,c_6678,c_6672,c_6666,c_6663,c_6658,c_6659,c_6639,c_6638,c_6633,c_6628,c_6627,c_6618,c_6621,c_6622,c_6613,c_6616,c_6617,c_6612,c_6610,c_6608,c_6607,c_6596,c_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO606+1 : TPTP v8.1.2. Released v7.0.0.
% 0.11/0.11 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 20:23:06 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.03/1.12 % SZS status Started for theBenchmark.p
% 4.03/1.12 % SZS status Theorem for theBenchmark.p
% 4.03/1.12
% 4.03/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.03/1.12
% 4.03/1.12 ------ iProver source info
% 4.03/1.12
% 4.03/1.12 git: date: 2024-05-02 19:28:25 +0000
% 4.03/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.03/1.12 git: non_committed_changes: false
% 4.03/1.12
% 4.03/1.12 ------ Parsing...
% 4.03/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.03/1.12
% 4.03/1.12 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 4.03/1.12
% 4.03/1.12 ------ Preprocessing... gs_s sp: 9 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.03/1.12 ------ Proving...
% 4.03/1.12 ------ Problem Properties
% 4.03/1.12
% 4.03/1.12
% 4.03/1.12 clauses 40
% 4.03/1.12 conjectures 9
% 4.03/1.12 EPR 28
% 4.03/1.12 Horn 22
% 4.03/1.12 unary 0
% 4.03/1.12 binary 22
% 4.03/1.12 lits 116
% 4.03/1.12 lits eq 0
% 4.03/1.12 fd_pure 0
% 4.03/1.12 fd_pseudo 0
% 4.03/1.12 fd_cond 0
% 4.03/1.12 fd_pseudo_cond 0
% 4.03/1.12 AC symbols 0
% 4.03/1.12
% 4.03/1.12 ------ Schedule dynamic 5 is on
% 4.03/1.12
% 4.03/1.12 ------ no equalities: superposition off
% 4.03/1.12
% 4.03/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.12
% 4.03/1.12
% 4.03/1.12 ------
% 4.03/1.12 Current options:
% 4.03/1.12 ------
% 4.03/1.12
% 4.03/1.12
% 4.03/1.12
% 4.03/1.12
% 4.03/1.12 ------ Proving...
% 4.03/1.12
% 4.03/1.12
% 4.03/1.12 % SZS status Theorem for theBenchmark.p
% 4.03/1.12
% 4.03/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.13
% 4.03/1.13
%------------------------------------------------------------------------------