TSTP Solution File: SET943+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET943+1 : TPTP v8.2.0. Released v3.2.0.
% 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 : Mon Jun 24 14:36:40 EDT 2024
% Result : Theorem 55.87s 8.17s
% Output : CNFRefutation 55.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f6,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f16,conjecture,
! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t96_zfmisc_1) ).
fof(f17,negated_conjecture,
~ ! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
inference(negated_conjecture,[],[f16]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f27,plain,
? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1)),
inference(ennf_transformation,[],[f17]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK0(X0,X1,X2),X1)
& ~ in(sK0(X0,X1,X2),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK0(X0,X1,X2),X1)
& ~ in(sK0(X0,X1,X2),X0) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( in(sK0(X0,X1,X2),X1)
| in(sK0(X0,X1,X2),X0)
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f32,f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f36,f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3) )
| ~ in(sK2(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK2(X0,X1),X4) )
| in(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK2(X0,X1),X4) )
=> ( in(sK3(X0,X1),X0)
& in(sK2(X0,X1),sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK4(X0,X5),X0)
& in(X5,sK4(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ( union(X0) = X1
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK3(X0,X1),X0)
& in(sK2(X0,X1),sK3(X0,X1)) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK4(X0,X5),X0)
& in(X5,sK4(X0,X5)) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f40,f43,f42,f41]) ).
fof(f49,plain,
( ? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1))
=> union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f27,f49]) ).
fof(f56,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f34]) ).
fof(f62,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f66,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f67,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,X0)
| ~ in(X5,X6)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f44]) ).
fof(f68,plain,
! [X0,X1] :
( union(X0) = X1
| in(sK2(X0,X1),sK3(X0,X1))
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f69,plain,
! [X0,X1] :
( union(X0) = X1
| in(sK3(X0,X1),X0)
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X3,X0,X1] :
( union(X0) = X1
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f80,plain,
union(set_union2(sK7,sK8)) != set_union2(union(sK7),union(sK8)),
inference(cnf_transformation,[],[f50]) ).
fof(f83,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f58]) ).
fof(f84,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f57]) ).
fof(f85,plain,
! [X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,set_union2(X0,X1)) ),
inference(equality_resolution,[],[f56]) ).
fof(f86,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X6,X0)
| ~ in(X5,X6) ),
inference(equality_resolution,[],[f67]) ).
fof(f87,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f66]) ).
fof(f88,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f65]) ).
cnf(c_57,plain,
( ~ in(X0,X1)
| in(X0,set_union2(X2,X1)) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_58,plain,
( ~ in(X0,X1)
| in(X0,set_union2(X1,X2)) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_59,plain,
( ~ in(X0,set_union2(X1,X2))
| in(X0,X1)
| in(X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_60,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_61,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_62,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_63,plain,
( ~ in(sK2(X0,X1),X1)
| ~ in(sK2(X0,X1),X2)
| ~ in(X2,X0)
| union(X0) = X1 ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_64,plain,
( union(X0) = X1
| in(sK2(X0,X1),X1)
| in(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_65,plain,
( union(X0) = X1
| in(sK2(X0,X1),sK3(X0,X1))
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_66,plain,
( ~ in(X0,X1)
| ~ in(X1,X2)
| in(X0,union(X2)) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_67,plain,
( ~ in(X0,union(X1))
| in(sK4(X1,X0),X1) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_68,plain,
( ~ in(X0,union(X1))
| in(X0,sK4(X1,X0)) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_78,negated_conjecture,
set_union2(union(sK7),union(sK8)) != union(set_union2(sK7,sK8)),
inference(cnf_transformation,[],[f80]) ).
cnf(c_573,plain,
union(sK7) = sP0_iProver_def,
definition ).
cnf(c_574,plain,
union(sK8) = sP1_iProver_def,
definition ).
cnf(c_575,plain,
set_union2(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_576,plain,
set_union2(sK7,sK8) = sP3_iProver_def,
definition ).
cnf(c_577,plain,
union(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_578,negated_conjecture,
sP2_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_78,c_576,c_577,c_574,c_573,c_575]) ).
cnf(c_16379,plain,
( ~ in(X0,sK8)
| in(X0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_576,c_57]) ).
cnf(c_16380,plain,
( ~ in(X0,sP1_iProver_def)
| in(X0,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_575,c_57]) ).
cnf(c_16505,plain,
( ~ in(X0,sK7)
| in(X0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_576,c_58]) ).
cnf(c_16506,plain,
( ~ in(X0,sP0_iProver_def)
| in(X0,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_575,c_58]) ).
cnf(c_16582,plain,
( ~ in(X0,union(sK8))
| in(sK4(sK8,X0),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_67,c_16379]) ).
cnf(c_16584,plain,
( ~ in(X0,union(sK7))
| in(sK4(sK7,X0),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_67,c_16505]) ).
cnf(c_16588,plain,
( ~ in(X0,sP0_iProver_def)
| in(sK4(sK7,X0),sP3_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_16584,c_573]) ).
cnf(c_16593,plain,
( ~ in(X0,sP1_iProver_def)
| in(sK4(sK8,X0),sP3_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_16582,c_574]) ).
cnf(c_16734,plain,
( ~ subset(sK3(X0,X1),X2)
| union(X0) = X1
| in(sK2(X0,X1),X1)
| in(sK2(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_65,c_62]) ).
cnf(c_16832,plain,
( ~ in(X0,sP3_iProver_def)
| in(X0,sK7)
| in(X0,sK8) ),
inference(superposition,[status(thm)],[c_576,c_59]) ).
cnf(c_16833,plain,
( ~ in(X0,sP2_iProver_def)
| in(X0,sP0_iProver_def)
| in(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_575,c_59]) ).
cnf(c_16854,plain,
( ~ in(X0,X1)
| in(sK1(X0,X2),union(X1))
| subset(X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_66]) ).
cnf(c_17163,plain,
( ~ in(X0,X1)
| subset(X0,union(X1)) ),
inference(superposition,[status(thm)],[c_16854,c_60]) ).
cnf(c_17266,plain,
( ~ in(X0,sK7)
| subset(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_573,c_17163]) ).
cnf(c_17267,plain,
( ~ in(X0,sK8)
| subset(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_574,c_17163]) ).
cnf(c_28254,plain,
( union(sP3_iProver_def) = X0
| in(sK2(sP3_iProver_def,X0),X0)
| in(sK3(sP3_iProver_def,X0),sK7)
| in(sK3(sP3_iProver_def,X0),sK8) ),
inference(superposition,[status(thm)],[c_64,c_16832]) ).
cnf(c_28283,plain,
( X0 = sP4_iProver_def
| in(sK2(sP3_iProver_def,X0),X0)
| in(sK3(sP3_iProver_def,X0),sK7)
| in(sK3(sP3_iProver_def,X0),sK8) ),
inference(light_normalisation,[status(thm)],[c_28254,c_577]) ).
cnf(c_101977,plain,
( sP2_iProver_def = sP4_iProver_def
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK8) ),
inference(superposition,[status(thm)],[c_28283,c_16833]) ).
cnf(c_102101,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101977,c_578]) ).
cnf(c_103638,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7)
| subset(sK3(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_102101,c_17267]) ).
cnf(c_104097,plain,
( union(sP3_iProver_def) = sP2_iProver_def
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7) ),
inference(superposition,[status(thm)],[c_103638,c_16734]) ).
cnf(c_104098,plain,
( sP2_iProver_def = sP4_iProver_def
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7) ),
inference(light_normalisation,[status(thm)],[c_104097,c_577]) ).
cnf(c_104099,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104098,c_578]) ).
cnf(c_104113,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def)
| in(sK3(sP3_iProver_def,sP2_iProver_def),sK7) ),
inference(forward_subsumption_resolution,[status(thm)],[c_104099,c_16380,c_16506]) ).
cnf(c_104124,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def)
| subset(sK3(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_104113,c_17266]) ).
cnf(c_117619,plain,
( union(sP3_iProver_def) = sP2_iProver_def
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_104124,c_16734]) ).
cnf(c_117620,plain,
( sP2_iProver_def = sP4_iProver_def
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_117619,c_577]) ).
cnf(c_117621,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117620,c_578]) ).
cnf(c_117639,plain,
in(sK2(sP3_iProver_def,sP2_iProver_def),sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_117621,c_16506]) ).
cnf(c_117643,plain,
( ~ in(sK2(sP3_iProver_def,sP2_iProver_def),X0)
| ~ in(X0,sP3_iProver_def)
| union(sP3_iProver_def) = sP2_iProver_def ),
inference(superposition,[status(thm)],[c_117639,c_63]) ).
cnf(c_117645,plain,
( in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def)
| in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_117639,c_16833]) ).
cnf(c_117656,plain,
( ~ in(sK2(sP3_iProver_def,sP2_iProver_def),X0)
| ~ in(X0,sP3_iProver_def)
| sP2_iProver_def = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_117643,c_577]) ).
cnf(c_117657,plain,
( ~ in(sK2(sP3_iProver_def,sP2_iProver_def),X0)
| ~ in(X0,sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_117656,c_578]) ).
cnf(c_117694,plain,
( ~ in(sK4(X0,sK2(sP3_iProver_def,sP2_iProver_def)),sP3_iProver_def)
| ~ in(sK2(sP3_iProver_def,sP2_iProver_def),union(X0)) ),
inference(superposition,[status(thm)],[c_68,c_117657]) ).
cnf(c_186498,plain,
( ~ in(sK2(sP3_iProver_def,sP2_iProver_def),union(sK8))
| ~ in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_16593,c_117694]) ).
cnf(c_186499,plain,
( ~ in(sK2(sP3_iProver_def,sP2_iProver_def),union(sK7))
| ~ in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_16588,c_117694]) ).
cnf(c_186514,plain,
~ in(sK2(sP3_iProver_def,sP2_iProver_def),sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_186499,c_573]) ).
cnf(c_186515,plain,
~ in(sK2(sP3_iProver_def,sP2_iProver_def),sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_186498,c_574]) ).
cnf(c_186536,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_186514,c_186515,c_117645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET943+1 : TPTP v8.2.0. Released v3.2.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun Jun 23 14:54:24 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.18/0.42 Running first-order theorem proving
% 0.18/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 55.87/8.17 % SZS status Started for theBenchmark.p
% 55.87/8.17 % SZS status Theorem for theBenchmark.p
% 55.87/8.17
% 55.87/8.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 55.87/8.17
% 55.87/8.17 ------ iProver source info
% 55.87/8.17
% 55.87/8.17 git: date: 2024-06-12 09:56:46 +0000
% 55.87/8.17 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 55.87/8.17 git: non_committed_changes: false
% 55.87/8.17
% 55.87/8.17 ------ Parsing...
% 55.87/8.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 55.87/8.17
% 55.87/8.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 55.87/8.17
% 55.87/8.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 55.87/8.17
% 55.87/8.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.87/8.17 ------ Proving...
% 55.87/8.17 ------ Problem Properties
% 55.87/8.17
% 55.87/8.17
% 55.87/8.17 clauses 33
% 55.87/8.17 conjectures 1
% 55.87/8.17 EPR 7
% 55.87/8.17 Horn 28
% 55.87/8.17 unary 12
% 55.87/8.17 binary 10
% 55.87/8.17 lits 67
% 55.87/8.17 lits eq 15
% 55.87/8.17 fd_pure 0
% 55.87/8.17 fd_pseudo 0
% 55.87/8.17 fd_cond 0
% 55.87/8.17 fd_pseudo_cond 7
% 55.87/8.17 AC symbols 0
% 55.87/8.17
% 55.87/8.17 ------ Schedule dynamic 5 is on
% 55.87/8.17
% 55.87/8.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 55.87/8.17
% 55.87/8.17
% 55.87/8.17 ------
% 55.87/8.17 Current options:
% 55.87/8.17 ------
% 55.87/8.17
% 55.87/8.17
% 55.87/8.17
% 55.87/8.17
% 55.87/8.17 ------ Proving...
% 55.87/8.17
% 55.87/8.17
% 55.87/8.17 % SZS status Theorem for theBenchmark.p
% 55.87/8.17
% 55.87/8.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 55.87/8.17
% 55.87/8.18
%------------------------------------------------------------------------------