TSTP Solution File: SYN036+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 Sep 1 03:04:46 EDT 2023
% Result : Theorem 1.90s 1.14s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 140 ( 1 unt; 0 def)
% Number of atoms : 720 ( 0 equ)
% Maximal formula atoms : 34 ( 5 avg)
% Number of connectives : 912 ( 332 ~; 443 |; 83 &)
% ( 28 <=>; 24 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 12 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-1 aty)
% Number of variables : 304 ( 57 sgn; 140 !; 88 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel34) ).
fof(f2,negated_conjecture,
~ ( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) )
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
( ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) )
<~> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( sP0
<=> ( ? [X0] :
! [X1] :
( big_p(X0)
<=> big_p(X1) )
<=> ( ? [X2] : big_q(X2)
<=> ! [X3] : big_p(X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,plain,
( sP1
<=> ( ? [X4] :
! [X5] :
( big_q(X4)
<=> big_q(X5) )
<=> ( ? [X6] : big_p(X6)
<=> ! [X7] : big_q(X7) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6,plain,
( sP0
<~> sP1 ),
inference(definition_folding,[],[f3,f5,f4]) ).
fof(f7,plain,
( ( sP1
| ( ( ( ( ? [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_q(X7)
| ? [X6] : big_p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X7] : big_q(X7)
| ! [X6] : ~ big_p(X6) ) )
| ? [X4] :
! [X5] :
( ( big_q(X4)
| ~ big_q(X5) )
& ( big_q(X5)
| ~ big_q(X4) ) ) ) ) )
& ( ( ( ? [X4] :
! [X5] :
( ( big_q(X4)
| ~ big_q(X5) )
& ( big_q(X5)
| ~ big_q(X4) ) )
| ( ( ? [X7] : ~ big_q(X7)
| ! [X6] : ~ big_p(X6) )
& ( ! [X7] : big_q(X7)
| ? [X6] : big_p(X6) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X7] : big_q(X7)
| ! [X6] : ~ big_p(X6) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f8,plain,
( ( sP1
| ( ( ( ( ? [X0] : ~ big_q(X0)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_q(X2)
| ? [X3] : big_p(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) ) )
& ( ( ( ? [X6] : big_p(X6)
| ? [X7] : ~ big_q(X7) )
& ( ! [X8] : big_q(X8)
| ! [X9] : ~ big_p(X9) ) )
| ? [X10] :
! [X11] :
( ( big_q(X10)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( big_q(X12)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(X12) ) )
| ( ( ? [X14] : ~ big_q(X14)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_q(X16)
| ? [X17] : big_p(X17) ) ) )
& ( ( ( ? [X18] : big_p(X18)
| ? [X19] : ~ big_q(X19) )
& ( ! [X20] : big_q(X20)
| ! [X21] : ~ big_p(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ big_q(X23)
| ~ big_q(X22) )
& ( big_q(X23)
| big_q(X22) ) ) ) )
| ~ sP1 ) ),
inference(rectify,[],[f7]) ).
fof(f9,plain,
( ? [X0] : ~ big_q(X0)
=> ~ big_q(sK2) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ? [X3] : big_p(X3)
=> big_p(sK3) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
! [X4] :
( ? [X5] :
( ( ~ big_q(X5)
| ~ big_q(X4) )
& ( big_q(X5)
| big_q(X4) ) )
=> ( ( ~ big_q(sK4(X4))
| ~ big_q(X4) )
& ( big_q(sK4(X4))
| big_q(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X6] : big_p(X6)
=> big_p(sK5) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X7] : ~ big_q(X7)
=> ~ big_q(sK6) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
( ? [X10] :
! [X11] :
( ( big_q(X10)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(X10) ) )
=> ! [X11] :
( ( big_q(sK7)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
( ? [X12] :
! [X13] :
( ( big_q(X12)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(X12) ) )
=> ! [X13] :
( ( big_q(sK8)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(sK8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X14] : ~ big_q(X14)
=> ~ big_q(sK9) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X17] : big_p(X17)
=> big_p(sK10) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X18] : big_p(X18)
=> big_p(sK11) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X19] : ~ big_q(X19)
=> ~ big_q(sK12) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X22] :
( ? [X23] :
( ( ~ big_q(X23)
| ~ big_q(X22) )
& ( big_q(X23)
| big_q(X22) ) )
=> ( ( ~ big_q(sK13(X22))
| ~ big_q(X22) )
& ( big_q(sK13(X22))
| big_q(X22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ( sP1
| ( ( ( ( ~ big_q(sK2)
| ! [X1] : ~ big_p(X1) )
& ( ! [X2] : big_q(X2)
| big_p(sK3) ) )
| ! [X4] :
( ( ~ big_q(sK4(X4))
| ~ big_q(X4) )
& ( big_q(sK4(X4))
| big_q(X4) ) ) )
& ( ( ( big_p(sK5)
| ~ big_q(sK6) )
& ( ! [X8] : big_q(X8)
| ! [X9] : ~ big_p(X9) ) )
| ! [X11] :
( ( big_q(sK7)
| ~ big_q(X11) )
& ( big_q(X11)
| ~ big_q(sK7) ) ) ) ) )
& ( ( ( ! [X13] :
( ( big_q(sK8)
| ~ big_q(X13) )
& ( big_q(X13)
| ~ big_q(sK8) ) )
| ( ( ~ big_q(sK9)
| ! [X15] : ~ big_p(X15) )
& ( ! [X16] : big_q(X16)
| big_p(sK10) ) ) )
& ( ( ( big_p(sK11)
| ~ big_q(sK12) )
& ( ! [X20] : big_q(X20)
| ! [X21] : ~ big_p(X21) ) )
| ! [X22] :
( ( ~ big_q(sK13(X22))
| ~ big_q(X22) )
& ( big_q(sK13(X22))
| big_q(X22) ) ) ) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f22,plain,
( ( sP0
| ( ( ( ( ? [X3] : ~ big_p(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_p(X3)
| ? [X2] : big_q(X2) ) )
| ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_p(X3) )
& ( ! [X3] : big_p(X3)
| ! [X2] : ~ big_q(X2) ) )
| ? [X0] :
! [X1] :
( ( big_p(X0)
| ~ big_p(X1) )
& ( big_p(X1)
| ~ big_p(X0) ) ) ) ) )
& ( ( ( ? [X0] :
! [X1] :
( ( big_p(X0)
| ~ big_p(X1) )
& ( big_p(X1)
| ~ big_p(X0) ) )
| ( ( ? [X3] : ~ big_p(X3)
| ! [X2] : ~ big_q(X2) )
& ( ! [X3] : big_p(X3)
| ? [X2] : big_q(X2) ) ) )
& ( ( ( ? [X2] : big_q(X2)
| ? [X3] : ~ big_p(X3) )
& ( ! [X3] : big_p(X3)
| ! [X2] : ~ big_q(X2) ) )
| ! [X0] :
? [X1] :
( ( ~ big_p(X1)
| ~ big_p(X0) )
& ( big_p(X1)
| big_p(X0) ) ) ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f23,plain,
( ( sP0
| ( ( ( ( ? [X0] : ~ big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_p(X2)
| ? [X3] : big_q(X3) ) )
| ! [X4] :
? [X5] :
( ( ~ big_p(X5)
| ~ big_p(X4) )
& ( big_p(X5)
| big_p(X4) ) ) )
& ( ( ( ? [X6] : big_q(X6)
| ? [X7] : ~ big_p(X7) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_q(X9) ) )
| ? [X10] :
! [X11] :
( ( big_p(X10)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(X10) ) ) ) ) )
& ( ( ( ? [X12] :
! [X13] :
( ( big_p(X12)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(X12) ) )
| ( ( ? [X14] : ~ big_p(X14)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_p(X16)
| ? [X17] : big_q(X17) ) ) )
& ( ( ( ? [X18] : big_q(X18)
| ? [X19] : ~ big_p(X19) )
& ( ! [X20] : big_p(X20)
| ! [X21] : ~ big_q(X21) ) )
| ! [X22] :
? [X23] :
( ( ~ big_p(X23)
| ~ big_p(X22) )
& ( big_p(X23)
| big_p(X22) ) ) ) )
| ~ sP0 ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
( ? [X0] : ~ big_p(X0)
=> ~ big_p(sK14) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( ? [X3] : big_q(X3)
=> big_q(sK15) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X4] :
( ? [X5] :
( ( ~ big_p(X5)
| ~ big_p(X4) )
& ( big_p(X5)
| big_p(X4) ) )
=> ( ( ~ big_p(sK16(X4))
| ~ big_p(X4) )
& ( big_p(sK16(X4))
| big_p(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X6] : big_q(X6)
=> big_q(sK17) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X7] : ~ big_p(X7)
=> ~ big_p(sK18) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X10] :
! [X11] :
( ( big_p(X10)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(X10) ) )
=> ! [X11] :
( ( big_p(sK19)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X12] :
! [X13] :
( ( big_p(X12)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(X12) ) )
=> ! [X13] :
( ( big_p(sK20)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(sK20) ) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
( ? [X14] : ~ big_p(X14)
=> ~ big_p(sK21) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
( ? [X17] : big_q(X17)
=> big_q(sK22) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X18] : big_q(X18)
=> big_q(sK23) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X19] : ~ big_p(X19)
=> ~ big_p(sK24) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X22] :
( ? [X23] :
( ( ~ big_p(X23)
| ~ big_p(X22) )
& ( big_p(X23)
| big_p(X22) ) )
=> ( ( ~ big_p(sK25(X22))
| ~ big_p(X22) )
& ( big_p(sK25(X22))
| big_p(X22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( ( sP0
| ( ( ( ( ~ big_p(sK14)
| ! [X1] : ~ big_q(X1) )
& ( ! [X2] : big_p(X2)
| big_q(sK15) ) )
| ! [X4] :
( ( ~ big_p(sK16(X4))
| ~ big_p(X4) )
& ( big_p(sK16(X4))
| big_p(X4) ) ) )
& ( ( ( big_q(sK17)
| ~ big_p(sK18) )
& ( ! [X8] : big_p(X8)
| ! [X9] : ~ big_q(X9) ) )
| ! [X11] :
( ( big_p(sK19)
| ~ big_p(X11) )
& ( big_p(X11)
| ~ big_p(sK19) ) ) ) ) )
& ( ( ( ! [X13] :
( ( big_p(sK20)
| ~ big_p(X13) )
& ( big_p(X13)
| ~ big_p(sK20) ) )
| ( ( ~ big_p(sK21)
| ! [X15] : ~ big_q(X15) )
& ( ! [X16] : big_p(X16)
| big_q(sK22) ) ) )
& ( ( ( big_q(sK23)
| ~ big_p(sK24) )
& ( ! [X20] : big_p(X20)
| ! [X21] : ~ big_q(X21) ) )
| ! [X22] :
( ( ~ big_p(sK25(X22))
| ~ big_p(X22) )
& ( big_p(sK25(X22))
| big_p(X22) ) ) ) )
| ~ sP0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25])],[f23,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24]) ).
fof(f37,plain,
( ( ~ sP1
| ~ sP0 )
& ( sP1
| sP0 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f38,plain,
! [X21,X22,X20] :
( big_q(X20)
| ~ big_p(X21)
| big_q(sK13(X22))
| big_q(X22)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X22] :
( big_p(sK11)
| ~ big_q(sK12)
| ~ big_q(sK13(X22))
| ~ big_q(X22)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X16,X13] :
( big_q(X13)
| ~ big_q(sK8)
| big_q(X16)
| big_p(sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f44,plain,
! [X16,X13] :
( big_q(sK8)
| ~ big_q(X13)
| big_q(X16)
| big_p(sK10)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f46,plain,
! [X11,X8,X9] :
( sP1
| big_q(X8)
| ~ big_p(X9)
| big_q(X11)
| ~ big_q(sK7) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X11,X8,X9] :
( sP1
| big_q(X8)
| ~ big_p(X9)
| big_q(sK7)
| ~ big_q(X11) ),
inference(cnf_transformation,[],[f21]) ).
fof(f50,plain,
! [X2,X4] :
( sP1
| big_q(X2)
| big_p(sK3)
| big_q(sK4(X4))
| big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X2,X4] :
( sP1
| big_q(X2)
| big_p(sK3)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X1,X4] :
( sP1
| ~ big_q(sK2)
| ~ big_p(X1)
| ~ big_q(sK4(X4))
| ~ big_q(X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f54,plain,
! [X21,X22,X20] :
( big_p(X20)
| ~ big_q(X21)
| big_p(sK25(X22))
| big_p(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X22] :
( big_q(sK23)
| ~ big_p(sK24)
| ~ big_p(sK25(X22))
| ~ big_p(X22)
| ~ sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X16,X13] :
( big_p(X13)
| ~ big_p(sK20)
| big_p(X16)
| big_q(sK22)
| ~ sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f60,plain,
! [X16,X13] :
( big_p(sK20)
| ~ big_p(X13)
| big_p(X16)
| big_q(sK22)
| ~ sP0 ),
inference(cnf_transformation,[],[f36]) ).
fof(f62,plain,
! [X11,X8,X9] :
( sP0
| big_p(X8)
| ~ big_q(X9)
| big_p(X11)
| ~ big_p(sK19) ),
inference(cnf_transformation,[],[f36]) ).
fof(f63,plain,
! [X11,X8,X9] :
( sP0
| big_p(X8)
| ~ big_q(X9)
| big_p(sK19)
| ~ big_p(X11) ),
inference(cnf_transformation,[],[f36]) ).
fof(f66,plain,
! [X2,X4] :
( sP0
| big_p(X2)
| big_q(sK15)
| big_p(sK16(X4))
| big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f67,plain,
! [X2,X4] :
( sP0
| big_p(X2)
| big_q(sK15)
| ~ big_p(sK16(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f69,plain,
! [X1,X4] :
( sP0
| ~ big_p(sK14)
| ~ big_q(X1)
| ~ big_p(sK16(X4))
| ~ big_p(X4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f70,plain,
( sP1
| sP0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f71,plain,
( ~ sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f37]) ).
cnf(c_49,plain,
( ~ big_q(sK4(X0))
| ~ big_q(X0)
| ~ big_p(X1)
| ~ big_q(sK2)
| sP1 ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_51,plain,
( ~ big_q(sK4(X0))
| ~ big_q(X0)
| big_q(X1)
| big_p(sK3)
| sP1 ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_52,plain,
( big_q(sK4(X0))
| big_q(X0)
| big_q(X1)
| big_p(sK3)
| sP1 ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_55,plain,
( ~ big_q(X0)
| ~ big_p(X1)
| big_q(X2)
| big_q(sK7)
| sP1 ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_56,plain,
( ~ big_p(X0)
| ~ big_q(sK7)
| big_q(X1)
| big_q(X2)
| sP1 ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_58,plain,
( ~ big_q(X0)
| ~ sP1
| big_q(X1)
| big_q(sK8)
| big_p(sK10) ),
inference(cnf_transformation,[],[f44]) ).
cnf(c_60,plain,
( ~ big_q(sK8)
| ~ sP1
| big_q(X0)
| big_q(X1)
| big_p(sK10) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_61,plain,
( ~ big_q(sK13(X0))
| ~ big_q(X0)
| ~ big_q(sK12)
| ~ sP1
| big_p(sK11) ),
inference(cnf_transformation,[],[f41]) ).
cnf(c_64,plain,
( ~ big_p(X0)
| ~ sP1
| big_q(sK13(X1))
| big_q(X1)
| big_q(X2) ),
inference(cnf_transformation,[],[f38]) ).
cnf(c_65,plain,
( ~ big_p(sK16(X0))
| ~ big_q(X1)
| ~ big_p(X0)
| ~ big_p(sK14)
| sP0 ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_67,plain,
( ~ big_p(sK16(X0))
| ~ big_p(X0)
| big_p(X1)
| big_q(sK15)
| sP0 ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_68,plain,
( big_p(sK16(X0))
| big_p(X0)
| big_p(X1)
| big_q(sK15)
| sP0 ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_71,plain,
( ~ big_q(X0)
| ~ big_p(X1)
| big_p(X2)
| big_p(sK19)
| sP0 ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_72,plain,
( ~ big_q(X0)
| ~ big_p(sK19)
| big_p(X1)
| big_p(X2)
| sP0 ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_74,plain,
( ~ big_p(X0)
| ~ sP0
| big_p(X1)
| big_q(sK22)
| big_p(sK20) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_76,plain,
( ~ big_p(sK20)
| ~ sP0
| big_p(X0)
| big_p(X1)
| big_q(sK22) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_77,plain,
( ~ big_p(sK25(X0))
| ~ big_p(X0)
| ~ big_p(sK24)
| ~ sP0
| big_q(sK23) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_80,plain,
( ~ big_q(X0)
| ~ sP0
| big_p(sK25(X1))
| big_p(X1)
| big_p(X2) ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_81,negated_conjecture,
( ~ sP1
| ~ sP0 ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_82,negated_conjecture,
( sP1
| sP0 ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_93,plain,
( ~ big_p(sK19)
| ~ sP1
| big_q(sK13(sK19))
| big_q(sK19) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_101,plain,
( ~ big_p(sK16(sK19))
| ~ big_q(sK19)
| ~ big_p(sK14)
| ~ big_p(sK19)
| sP0 ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_104,plain,
( ~ sP0
| ~ sP1 ),
inference(prop_impl_just,[status(thm)],[c_81]) ).
cnf(c_105,plain,
( ~ sP1
| ~ sP0 ),
inference(renaming,[status(thm)],[c_104]) ).
cnf(c_106,plain,
( sP0
| sP1 ),
inference(prop_impl_just,[status(thm)],[c_82]) ).
cnf(c_107,plain,
( sP1
| sP0 ),
inference(renaming,[status(thm)],[c_106]) ).
cnf(c_160,plain,
( ~ big_q(sK4(X0))
| ~ big_q(X0)
| ~ big_p(X1)
| ~ big_q(sK2)
| ~ sP0 ),
inference(bin_hyper_res,[status(thm)],[c_49,c_105]) ).
cnf(c_162,plain,
( ~ big_q(sK4(X0))
| ~ big_q(X0)
| ~ sP0
| big_q(X1)
| big_p(sK3) ),
inference(bin_hyper_res,[status(thm)],[c_51,c_105]) ).
cnf(c_163,plain,
( ~ sP0
| big_q(sK4(X0))
| big_q(X0)
| big_q(X1)
| big_p(sK3) ),
inference(bin_hyper_res,[status(thm)],[c_52,c_105]) ).
cnf(c_166,plain,
( ~ big_q(X0)
| ~ big_p(X1)
| ~ sP0
| big_q(X2)
| big_q(sK7) ),
inference(bin_hyper_res,[status(thm)],[c_55,c_105]) ).
cnf(c_167,plain,
( ~ big_p(X0)
| ~ big_q(sK7)
| ~ sP0
| big_q(X1)
| big_q(X2) ),
inference(bin_hyper_res,[status(thm)],[c_56,c_105]) ).
cnf(c_169,plain,
( ~ big_q(X0)
| big_q(X1)
| big_q(sK8)
| big_p(sK10)
| sP0 ),
inference(bin_hyper_res,[status(thm)],[c_58,c_107]) ).
cnf(c_171,plain,
( ~ big_q(sK8)
| big_q(X0)
| big_q(X1)
| big_p(sK10)
| sP0 ),
inference(bin_hyper_res,[status(thm)],[c_60,c_107]) ).
cnf(c_175,plain,
( ~ big_p(X0)
| big_q(sK13(X1))
| big_q(X1)
| big_q(X2)
| sP0 ),
inference(bin_hyper_res,[status(thm)],[c_64,c_107]) ).
cnf(c_179,plain,
( ~ sP0
| big_q(sK4(sK19))
| big_q(sK19)
| big_p(sK3) ),
inference(instantiation,[status(thm)],[c_163]) ).
cnf(c_837,plain,
( big_q(X0)
| big_q(sK13(X0))
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_175]) ).
cnf(c_838,plain,
( big_q(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_175]) ).
cnf(c_839,plain,
( ~ big_p(X0)
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_175]) ).
cnf(c_840,plain,
( sP0
| sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_175]) ).
cnf(c_845,plain,
( ~ big_q(sK8)
| big_p(sK10)
| sP0
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_171]) ).
cnf(c_847,plain,
( ~ big_q(X0)
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_169]) ).
cnf(c_848,plain,
( big_q(sK8)
| big_p(sK10)
| sP0
| sP1_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_169]) ).
cnf(c_850,plain,
( ~ big_q(sK7)
| ~ sP0
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_167]) ).
cnf(c_851,plain,
( ~ sP0
| big_q(sK7)
| sP1_iProver_split
| sP2_iProver_split
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_166]) ).
cnf(c_856,plain,
( ~ big_q(X0)
| ~ big_q(sK4(X0))
| ~ sP6_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_162]) ).
cnf(c_859,plain,
( ~ big_q(sK2)
| ~ sP0
| sP2_iProver_split
| sP6_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_160]) ).
cnf(c_860,plain,
( big_p(X0)
| big_p(sK25(X0))
| ~ sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_80]) ).
cnf(c_861,plain,
( big_p(X0)
| ~ sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_80]) ).
cnf(c_862,plain,
( ~ sP0
| sP4_iProver_split
| sP7_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_80]) ).
cnf(c_867,plain,
( ~ big_p(sK20)
| ~ sP0
| big_q(sK22)
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_76]) ).
cnf(c_869,plain,
( ~ sP0
| big_q(sK22)
| big_p(sK20)
| sP2_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_74]) ).
cnf(c_871,plain,
( ~ big_p(sK19)
| sP0
| sP4_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_72]) ).
cnf(c_872,plain,
( big_p(sK19)
| sP0
| sP2_iProver_split
| sP4_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_71]) ).
cnf(c_875,plain,
( big_p(X0)
| big_p(sK16(X0))
| ~ sP10_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_68]) ).
cnf(c_876,plain,
( big_q(sK15)
| sP0
| sP8_iProver_split
| sP10_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_68]) ).
cnf(c_877,plain,
( ~ big_p(X0)
| ~ big_p(sK16(X0))
| ~ sP11_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_67]) ).
cnf(c_880,plain,
( ~ big_p(sK14)
| sP0
| sP4_iProver_split
| sP11_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_65]) ).
cnf(c_882,plain,
( ~ sP8_iProver_split
| big_p(sK19) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_884,plain,
( ~ big_q(sK19)
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_893,plain,
( ~ big_p(sK10)
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_894,plain,
( ~ sP8_iProver_split
| big_p(sK14) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_899,plain,
( ~ sP0_iProver_split
| big_q(sK13(sK15))
| big_q(sK15) ),
inference(instantiation,[status(thm)],[c_837]) ).
cnf(c_901,plain,
( ~ sP8_iProver_split
| big_p(sK16(X0)) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_902,plain,
( ~ sP8_iProver_split
| big_p(sK16(sK19)) ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_909,plain,
( ~ sP1_iProver_split
| big_q(sK12) ),
inference(instantiation,[status(thm)],[c_838]) ).
cnf(c_914,plain,
( ~ big_p(sK16(X0))
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_917,plain,
( ~ sP1_iProver_split
| big_q(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_838]) ).
cnf(c_926,plain,
( ~ big_p(sK11)
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_932,plain,
( ~ big_q(sK13(X0))
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_933,plain,
( ~ big_q(sK13(sK19))
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_932]) ).
cnf(c_934,plain,
( ~ big_q(sK15)
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_949,plain,
( ~ big_q(sK4(X0))
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_950,plain,
( ~ big_q(sK4(sK19))
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_955,plain,
( ~ big_p(sK3)
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_958,plain,
( ~ big_q(sK22)
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_959,plain,
( ~ sP1_iProver_split
| big_q(sK2) ),
inference(instantiation,[status(thm)],[c_838]) ).
cnf(c_960,plain,
( ~ sP1_iProver_split
| big_q(sK4(X0)) ),
inference(instantiation,[status(thm)],[c_838]) ).
cnf(c_967,plain,
( ~ big_p(sK25(X0))
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_839]) ).
cnf(c_975,plain,
( ~ sP8_iProver_split
| big_p(sK24) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_982,plain,
( ~ big_q(sK13(sK15))
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_932]) ).
cnf(c_988,plain,
( ~ big_q(sK23)
| ~ sP4_iProver_split ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_989,plain,
( ~ sP8_iProver_split
| big_p(sK25(X0)) ),
inference(instantiation,[status(thm)],[c_861]) ).
cnf(c_993,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_989,c_988,c_982,c_975,c_967,c_960,c_959,c_958,c_955,c_950,c_934,c_933,c_926,c_917,c_914,c_909,c_902,c_901,c_899,c_894,c_893,c_877,c_856,c_869,c_867,c_875,c_860,c_859,c_851,c_850,c_848,c_845,c_880,c_872,c_871,c_876,c_862,c_884,c_847,c_839,c_882,c_861,c_840,c_838,c_179,c_61,c_101,c_77,c_93,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 18:57:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.90/1.14 % SZS status Started for theBenchmark.p
% 1.90/1.14 % SZS status Theorem for theBenchmark.p
% 1.90/1.14
% 1.90/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.90/1.14
% 1.90/1.14 ------ iProver source info
% 1.90/1.14
% 1.90/1.14 git: date: 2023-05-31 18:12:56 +0000
% 1.90/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.90/1.14 git: non_committed_changes: false
% 1.90/1.14 git: last_make_outside_of_git: false
% 1.90/1.14
% 1.90/1.14 ------ Parsing...
% 1.90/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.90/1.14
% 1.90/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.90/1.14
% 1.90/1.14 ------ Preprocessing... gs_s sp: 64 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.90/1.14 ------ Proving...
% 1.90/1.14 ------ Problem Properties
% 1.90/1.14
% 1.90/1.14
% 1.90/1.14 clauses 44
% 1.90/1.14 conjectures 0
% 1.90/1.14 EPR 36
% 1.90/1.14 Horn 8
% 1.90/1.14 unary 0
% 1.90/1.14 binary 4
% 1.90/1.14 lits 172
% 1.90/1.14 lits eq 0
% 1.90/1.14 fd_pure 0
% 1.90/1.14 fd_pseudo 0
% 1.90/1.14 fd_cond 0
% 1.90/1.14 fd_pseudo_cond 0
% 1.90/1.14 AC symbols 0
% 1.90/1.14
% 1.90/1.14 ------ Schedule dynamic 5 is on
% 1.90/1.14
% 1.90/1.14 ------ no conjectures: strip conj schedule
% 1.90/1.14
% 1.90/1.14 ------ no equalities: superposition off
% 1.90/1.14
% 1.90/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.90/1.14
% 1.90/1.14
% 1.90/1.14 ------
% 1.90/1.14 Current options:
% 1.90/1.14 ------
% 1.90/1.14
% 1.90/1.14
% 1.90/1.14
% 1.90/1.14
% 1.90/1.14 ------ Proving...
% 1.90/1.14
% 1.90/1.14
% 1.90/1.14 % SZS status Theorem for theBenchmark.p
% 1.90/1.14
% 1.90/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/1.14
% 1.90/1.14
%------------------------------------------------------------------------------