TSTP Solution File: SEV515+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Thu Aug 31 19:31:08 EDT 2023
% Result : Theorem 1.39s 1.03s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f57)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nc1) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X2,X3] :
( g_true_only(X2,X3)
<=> ( ~ g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_only_g) ).
fof(f4,axiom,
! [X2,X3] :
( g_both(X2,X3)
<=> ( g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',both_g) ).
fof(f5,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
<=> ( ~ g_true(X2,X3)
& g_false(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_only_g) ).
fof(f6,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
| g_both(X2,X3)
| g_true_only(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exhaustion_g) ).
fof(f7,plain,
~ ( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X2] :
( ~ ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
& ? [X4] :
( g_both(X4,X4)
& g_both(X4,X2) ) ) )
| ! [X5] :
? [X6] :
( ( ( g_both(X6,X6)
| g_false_only(X6,X6) )
& g_false_only(X6,X5) )
| ( ( g_true_only(X6,X6)
| g_false_only(X6,X6) )
& g_both(X6,X5) )
| ( ( g_true_only(X6,X6)
| g_both(X6,X6) )
& g_true_only(X6,X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( ~ g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f10,plain,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( ~ g_true(X0,X1)
& g_false(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f12,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) ) )
& ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_both(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) )
| ~ g_true_only(X6,X5) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f13,plain,
( ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f14,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| sP0 )
& ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_both(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) )
| ~ g_true_only(X6,X5) ) ) ),
inference(definition_folding,[],[f12,f13]) ).
fof(f15,plain,
( ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f13]) ).
fof(f16,plain,
( ! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP0 ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
=> ( ( ( g_both(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_false_only(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) )
& g_true_only(sK1(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ! [X0] :
( ( ( g_both(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_false_only(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) )
& g_true_only(sK1(X0),X0) )
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f17]) ).
fof(f19,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| sP0 )
& ? [X2] :
! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f20,plain,
( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
=> ! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,sK2) )
| ( g_false_only(X1,X1)
& g_true_only(X1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X2] :
! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,X2) ) )
=> ! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ( ! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,sK2) )
| ( g_false_only(X1,X1)
& g_true_only(X1,sK2) ) )
| sP0 )
& ! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f19,f21,f20]) ).
fof(f23,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,[],[f8]) ).
fof(f24,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,[],[f23]) ).
fof(f25,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,[],[f9]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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,[],[f10]) ).
fof(f28,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,[],[f27]) ).
fof(f29,plain,
! [X2,X0] :
( g_false_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_true_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f30,plain,
! [X2,X0] :
( g_false_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0))
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f31,plain,
! [X2,X0] :
( g_false_only(sK1(X0),X0)
| g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X2,X0] :
( g_both(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0)
| g_true_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X3] :
( ~ g_both(X3,X3)
| ~ g_true_only(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X3] :
( ~ g_true_only(X3,X3)
| ~ g_true_only(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f39,plain,
! [X3] :
( ~ g_false_only(X3,X3)
| ~ g_both(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f40,plain,
! [X3] :
( ~ g_true_only(X3,X3)
| ~ g_both(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X3] :
( ~ g_false_only(X3,X3)
| ~ g_false_only(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X3] :
( ~ g_both(X3,X3)
| ~ g_false_only(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
! [X1] :
( g_true_only(X1,X1)
| g_false_only(X1,X1)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f49,plain,
! [X0,X1] :
( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1] :
( g_true(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_both(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X0,X1] :
( g_false(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f56,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
cnf(c_49,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| ~ sP0
| g_both(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),sK1(X1))
| g_true_only(sK1(X1),sK1(X1)) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_52,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| ~ sP0
| g_both(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_54,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| ~ sP0
| g_false_only(sK1(X1),sK1(X1))
| g_true_only(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_55,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| ~ sP0
| g_both(sK1(X1),sK1(X1))
| g_true_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_false_only(sK1(X1),X1) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_56,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| ~ sP0
| g_both(sK1(X1),X1)
| g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_57,negated_conjecture,
( g_false_only(X0,X0)
| g_true_only(X0,X0)
| sP0 ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_61,negated_conjecture,
( ~ g_both(X0,X0)
| ~ g_false_only(X0,sK3) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_62,negated_conjecture,
( ~ g_false_only(X0,X0)
| ~ g_false_only(X0,sK3) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_63,negated_conjecture,
( ~ g_true_only(X0,X0)
| ~ g_both(X0,sK3) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_64,negated_conjecture,
( ~ g_false_only(X0,X0)
| ~ g_both(X0,sK3) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_65,negated_conjecture,
( ~ g_true_only(X0,X0)
| ~ g_true_only(X0,sK3) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_66,negated_conjecture,
( ~ g_both(X0,X0)
| ~ g_true_only(X0,sK3) ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_67,plain,
( ~ g_true(X0,X1)
| g_true_only(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_68,plain,
( ~ g_true_only(X0,X1)
| ~ g_false(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_69,plain,
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_71,plain,
( ~ g_both(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_72,plain,
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_74,plain,
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_75,plain,
( ~ g_false_only(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_76,plain,
( g_both(X0,X1)
| g_false_only(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_80,plain,
( g_false_only(sK3,sK3)
| g_true_only(sK3,sK3)
| sP0 ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_86,plain,
~ g_true_only(sK3,sK3),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_88,plain,
~ g_false_only(sK3,sK3),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_89,plain,
( g_both(sK3,sK3)
| g_false_only(sK3,sK3)
| g_true_only(sK3,sK3) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_94,plain,
( ~ g_both(sK3,sK3)
| ~ sP0
| g_both(sK1(sK3),sK1(sK3))
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_95,plain,
( ~ g_both(sK3,sK3)
| ~ sP0
| g_both(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_112,plain,
( g_true_only(X0,X1)
| g_false(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_75,c_71,c_76]) ).
cnf(c_115,plain,
( ~ g_both(X0,X1)
| ~ g_both(X0,X0)
| g_both(sK1(X1),X1)
| g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_56,c_80,c_86,c_88,c_56]) ).
cnf(c_116,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| g_both(sK1(X1),X1)
| g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(renaming,[status(thm)],[c_115]) ).
cnf(c_117,plain,
( ~ g_both(sK3,sK3)
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK3)
| g_true_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_124,plain,
( ~ g_both(X0,X1)
| ~ g_both(X0,X0)
| g_false_only(sK1(X1),sK1(X1))
| g_true_only(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_80,c_86,c_88,c_54]) ).
cnf(c_125,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| g_false_only(sK1(X1),sK1(X1))
| g_true_only(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(renaming,[status(thm)],[c_124]) ).
cnf(c_126,plain,
( ~ g_both(sK3,sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_false_only(sK1(sK3),sK3)
| g_true_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_127,plain,
( ~ g_both(X0,X1)
| ~ g_both(X0,X0)
| g_both(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_80,c_86,c_88,c_52]) ).
cnf(c_128,plain,
( ~ g_both(X0,X0)
| ~ g_both(X0,X1)
| g_both(sK1(X1),sK1(X1))
| g_false_only(sK1(X1),sK1(X1))
| g_both(sK1(X1),X1)
| g_true_only(sK1(X1),X1) ),
inference(renaming,[status(thm)],[c_127]) ).
cnf(c_129,plain,
( ~ g_both(sK3,sK3)
| g_both(sK1(sK3),sK1(sK3))
| g_false_only(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK3)
| g_true_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_136,plain,
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_68]) ).
cnf(c_137,plain,
( ~ g_true_only(X0,X1)
| ~ g_false(X0,X1) ),
inference(renaming,[status(thm)],[c_136]) ).
cnf(c_140,plain,
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
cnf(c_141,plain,
( ~ g_false_only(X0,X1)
| ~ g_true(X0,X1) ),
inference(renaming,[status(thm)],[c_140]) ).
cnf(c_144,plain,
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
cnf(c_174,plain,
( g_true(X0,X1)
| g_false(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_69,c_112]) ).
cnf(c_175,plain,
( g_false(X0,X1)
| g_true(X0,X1) ),
inference(renaming,[status(thm)],[c_174]) ).
cnf(c_326,plain,
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(resolution,[status(thm)],[c_175,c_137]) ).
cnf(c_372,plain,
( ~ g_both(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(resolution,[status(thm)],[c_144,c_141]) ).
cnf(c_380,plain,
( ~ g_false_only(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(resolution,[status(thm)],[c_326,c_141]) ).
cnf(c_473,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| ~ g_false_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_474,plain,
( ~ g_both(sK1(sK3),sK1(sK3))
| ~ g_false_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_485,plain,
( ~ g_both(sK1(sK3),sK1(sK3))
| ~ g_true_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_486,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| ~ g_true_only(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_491,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| ~ g_both(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_492,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| ~ g_true_only(sK1(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_380]) ).
cnf(c_493,plain,
( ~ g_both(sK1(sK3),sK1(sK3))
| ~ g_false_only(sK1(sK3),sK1(sK3)) ),
inference(instantiation,[status(thm)],[c_372]) ).
cnf(c_497,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| ~ g_both(sK1(sK3),sK3) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_501,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_497,c_492,c_493,c_491,c_485,c_486,c_473,c_474,c_129,c_126,c_117,c_95,c_94,c_89,c_88,c_86,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Thu Aug 24 03:13:26 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.39/1.03 % SZS status Started for theBenchmark.p
% 1.39/1.03 % SZS status Theorem for theBenchmark.p
% 1.39/1.03
% 1.39/1.03 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.39/1.03
% 1.39/1.03 ------ iProver source info
% 1.39/1.03
% 1.39/1.03 git: date: 2023-05-31 18:12:56 +0000
% 1.39/1.03 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.39/1.03 git: non_committed_changes: false
% 1.39/1.03 git: last_make_outside_of_git: false
% 1.39/1.03
% 1.39/1.03 ------ Parsing...
% 1.39/1.03 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.39/1.03
% 1.39/1.03 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.39/1.03
% 1.39/1.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.39/1.03 ------ Proving...
% 1.39/1.03 ------ Problem Properties
% 1.39/1.03
% 1.39/1.03
% 1.39/1.03 clauses 13
% 1.39/1.03 conjectures 6
% 1.39/1.03 EPR 10
% 1.39/1.03 Horn 9
% 1.39/1.03 unary 0
% 1.39/1.03 binary 9
% 1.39/1.03 lits 39
% 1.39/1.03 lits eq 0
% 1.39/1.03 fd_pure 0
% 1.39/1.03 fd_pseudo 0
% 1.39/1.03 fd_cond 0
% 1.39/1.03 fd_pseudo_cond 0
% 1.39/1.03 AC symbols 0
% 1.39/1.03
% 1.39/1.03 ------ Schedule dynamic 5 is on
% 1.39/1.03
% 1.39/1.03 ------ no equalities: superposition off
% 1.39/1.03
% 1.39/1.03 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.39/1.03
% 1.39/1.03
% 1.39/1.03 ------
% 1.39/1.03 Current options:
% 1.39/1.03 ------
% 1.39/1.03
% 1.39/1.03
% 1.39/1.03
% 1.39/1.03
% 1.39/1.03 ------ Proving...
% 1.39/1.03
% 1.39/1.03
% 1.39/1.03 % SZS status Theorem for theBenchmark.p
% 1.39/1.03
% 1.39/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.39/1.03
% 1.39/1.03
%------------------------------------------------------------------------------