TSTP Solution File: SET169+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET169+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 14:33:44 EDT 2024
% Result : Theorem 14.01s 2.71s
% Output : CNFRefutation 14.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f5,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f6,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f7,axiom,
! [X0] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f9,conjecture,
! [X0,X1,X2] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_distributes_over_union) ).
fof(f10,negated_conjecture,
~ ! [X0,X1,X2] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
? [X0,X1,X2] : intersection(X0,union(X1,X2)) != union(intersection(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f15]) ).
fof(f19,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f20,f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) )
& ( member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f25]) ).
fof(f27,plain,
( ? [X0,X1,X2] : intersection(X0,union(X1,X2)) != union(intersection(X0,X1),intersection(X0,X2))
=> intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f12,f27]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f34,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f39,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X0,X1] :
( X0 = X1
| member(sK1(X0,X1),X1)
| member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK1(X0,X1),X1)
| ~ member(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
intersection(sK2,union(sK3,sK4)) != union(intersection(sK2,sK3),intersection(sK2,sK4)),
inference(cnf_transformation,[],[f28]) ).
cnf(c_49,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf_transformation,[],[f31]) ).
cnf(c_50,plain,
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f30]) ).
cnf(c_51,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
cnf(c_52,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
cnf(c_53,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f33]) ).
cnf(c_54,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_59,plain,
intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f39]) ).
cnf(c_62,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_63,plain,
subset(X0,X0),
inference(cnf_transformation,[],[f43]) ).
cnf(c_64,plain,
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f47]) ).
cnf(c_65,plain,
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_66,negated_conjecture,
union(intersection(sK2,sK3),intersection(sK2,sK4)) != intersection(sK2,union(sK3,sK4)),
inference(cnf_transformation,[],[f48]) ).
cnf(c_67,plain,
subset(sK2,sK2),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_341,plain,
intersection(sK2,sK3) = sP0_iProver_def,
definition ).
cnf(c_342,plain,
intersection(sK2,sK4) = sP1_iProver_def,
definition ).
cnf(c_343,plain,
union(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_344,plain,
union(sK3,sK4) = sP3_iProver_def,
definition ).
cnf(c_345,plain,
intersection(sK2,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_346,negated_conjecture,
sP2_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_66,c_344,c_345,c_342,c_341,c_343]) ).
cnf(c_347,plain,
X0 = X0,
theory(equality) ).
cnf(c_349,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_351,plain,
( X0 != X1
| X2 != X3
| ~ member(X1,X3)
| member(X0,X2) ),
theory(equality) ).
cnf(c_569,plain,
intersection(sP3_iProver_def,sK2) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_345,c_59]) ).
cnf(c_578,plain,
( ~ member(X0,sK4)
| member(X0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_344,c_49]) ).
cnf(c_579,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_343,c_49]) ).
cnf(c_592,plain,
( ~ member(X0,sK3)
| member(X0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_344,c_50]) ).
cnf(c_607,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,sK3) ),
inference(superposition,[status(thm)],[c_341,c_53]) ).
cnf(c_608,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,sK4) ),
inference(superposition,[status(thm)],[c_342,c_53]) ).
cnf(c_609,plain,
( ~ member(X0,sP4_iProver_def)
| member(X0,sK2) ),
inference(superposition,[status(thm)],[c_569,c_53]) ).
cnf(c_713,plain,
( ~ member(X0,sP3_iProver_def)
| member(X0,sK3)
| member(X0,sK4) ),
inference(superposition,[status(thm)],[c_344,c_51]) ).
cnf(c_714,plain,
( ~ member(X0,sP2_iProver_def)
| member(X0,sP0_iProver_def)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_343,c_51]) ).
cnf(c_734,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,sK2) ),
inference(superposition,[status(thm)],[c_341,c_54]) ).
cnf(c_735,plain,
( ~ member(X0,sP1_iProver_def)
| member(X0,sK2) ),
inference(superposition,[status(thm)],[c_342,c_54]) ).
cnf(c_736,plain,
( ~ member(X0,sP4_iProver_def)
| member(X0,sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_569,c_54]) ).
cnf(c_768,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def)
| ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def)
| sP2_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_769,plain,
( sP2_iProver_def = sP4_iProver_def
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_845,plain,
sP2_iProver_def = sP2_iProver_def,
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_846,plain,
( X0 != X1
| sP2_iProver_def != X1
| sP2_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_349]) ).
cnf(c_924,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X2,X1)) ),
inference(superposition,[status(thm)],[c_59,c_52]) ).
cnf(c_966,plain,
( X0 = sP4_iProver_def
| member(sK1(X0,sP4_iProver_def),X0)
| member(sK1(X0,sP4_iProver_def),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_65,c_736]) ).
cnf(c_967,plain,
( X0 = sP4_iProver_def
| member(sK1(X0,sP4_iProver_def),X0)
| member(sK1(X0,sP4_iProver_def),sK2) ),
inference(superposition,[status(thm)],[c_65,c_609]) ).
cnf(c_1879,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),union(X0,X1)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1892,plain,
( X0 != sK1(sP2_iProver_def,sP4_iProver_def)
| X1 != X2
| ~ member(sK1(sP2_iProver_def,sP4_iProver_def),X2)
| member(X0,X1) ),
inference(instantiation,[status(thm)],[c_351]) ).
cnf(c_2250,plain,
sK1(sP2_iProver_def,sP4_iProver_def) = sK1(sP2_iProver_def,sP4_iProver_def),
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_2948,plain,
( X0 != sP2_iProver_def
| sP2_iProver_def != sP2_iProver_def
| sP2_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_846]) ).
cnf(c_4816,plain,
( sK1(sP2_iProver_def,sP4_iProver_def) != sK1(sP2_iProver_def,sP4_iProver_def)
| sP2_iProver_def != X0
| ~ member(sK1(sP2_iProver_def,sP4_iProver_def),X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_1892]) ).
cnf(c_9123,plain,
( union(sP0_iProver_def,sP1_iProver_def) != sP2_iProver_def
| sP2_iProver_def != sP2_iProver_def
| sP2_iProver_def = union(sP0_iProver_def,sP1_iProver_def) ),
inference(instantiation,[status(thm)],[c_2948]) ).
cnf(c_11201,plain,
intersection(sP3_iProver_def,sK2) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_345,c_59]) ).
cnf(c_11299,plain,
( ~ member(X0,sP4_iProver_def)
| member(X0,sK2) ),
inference(superposition,[status(thm)],[c_11201,c_53]) ).
cnf(c_11547,plain,
( ~ member(X0,sP2_iProver_def)
| member(X0,sP0_iProver_def)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_343,c_51]) ).
cnf(c_11849,plain,
( X0 = sP4_iProver_def
| member(sK1(X0,sP4_iProver_def),X0)
| member(sK1(X0,sP4_iProver_def),sK2) ),
inference(superposition,[status(thm)],[c_65,c_11299]) ).
cnf(c_13372,plain,
( sP2_iProver_def = sP4_iProver_def
| member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_967,c_714]) ).
cnf(c_13426,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13372,c_346]) ).
cnf(c_13596,plain,
member(sK1(sP2_iProver_def,sP4_iProver_def),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13426,c_735,c_734]) ).
cnf(c_13597,plain,
( ~ subset(sK2,X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),X0) ),
inference(superposition,[status(thm)],[c_13596,c_62]) ).
cnf(c_13600,plain,
( ~ subset(sK2,sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sK2) ),
inference(instantiation,[status(thm)],[c_13597]) ).
cnf(c_34720,plain,
( sK1(sP2_iProver_def,sP4_iProver_def) != sK1(sP2_iProver_def,sP4_iProver_def)
| sP2_iProver_def != union(sP0_iProver_def,sP1_iProver_def)
| ~ member(sK1(sP2_iProver_def,sP4_iProver_def),union(sP0_iProver_def,sP1_iProver_def))
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_4816]) ).
cnf(c_35836,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),union(sP0_iProver_def,sP1_iProver_def)) ),
inference(instantiation,[status(thm)],[c_1879]) ).
cnf(c_46162,plain,
( ~ member(X0,sK2)
| ~ member(X0,sK3)
| member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_341,c_924]) ).
cnf(c_46163,plain,
( ~ member(X0,sK2)
| ~ member(X0,sK4)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_342,c_924]) ).
cnf(c_46164,plain,
( ~ member(X0,sK2)
| ~ member(X0,sP3_iProver_def)
| member(X0,sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_569,c_924]) ).
cnf(c_58138,plain,
( sP2_iProver_def = sP4_iProver_def
| member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_11849,c_11547]) ).
cnf(c_58187,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_58138,c_346]) ).
cnf(c_59431,plain,
member(sK1(sP2_iProver_def,sP4_iProver_def),sK2),
inference(global_subsumption_just,[status(thm)],[c_58187,c_67,c_13600]) ).
cnf(c_59433,plain,
( ~ subset(sK2,X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),X0) ),
inference(superposition,[status(thm)],[c_59431,c_62]) ).
cnf(c_60314,plain,
( sP2_iProver_def = sP4_iProver_def
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_966,c_714]) ).
cnf(c_60357,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP3_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60314,c_346]) ).
cnf(c_60645,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def)
| ~ subset(sK2,sP2_iProver_def)
| sP2_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_59433,c_64]) ).
cnf(c_60704,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def)
| ~ subset(sK2,sP2_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60645,c_346]) ).
cnf(c_60986,plain,
( ~ subset(sP3_iProver_def,X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_60357,c_62]) ).
cnf(c_60988,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sK3)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sK4)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_60357,c_713]) ).
cnf(c_61090,plain,
( ~ subset(sP3_iProver_def,X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),X0)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_60986,c_579]) ).
cnf(c_61293,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sK3)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60988,c_608,c_607]) ).
cnf(c_61301,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sK3)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_61293,c_46163]) ).
cnf(c_61303,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sK3)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_61293,c_578]) ).
cnf(c_61312,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sK3)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61301,c_13596]) ).
cnf(c_61368,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_61312,c_46162]) ).
cnf(c_61379,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61368,c_13596]) ).
cnf(c_61390,plain,
( member(sK1(sP2_iProver_def,sP4_iProver_def),sP0_iProver_def)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_61379,c_579]) ).
cnf(c_62197,plain,
~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_60704,c_343,c_346,c_768,c_845,c_2250,c_9123,c_34720,c_35836,c_61390]) ).
cnf(c_63182,plain,
member(sK1(sP2_iProver_def,sP4_iProver_def),sP2_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_61090,c_346,c_769,c_62197]) ).
cnf(c_63185,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def)
| sP2_iProver_def = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_63182,c_64]) ).
cnf(c_63189,plain,
~ member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_63185,c_346]) ).
cnf(c_65732,plain,
member(sK1(sP2_iProver_def,sP4_iProver_def),sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_61303,c_592]) ).
cnf(c_65734,plain,
( ~ member(sK1(sP2_iProver_def,sP4_iProver_def),sK2)
| member(sK1(sP2_iProver_def,sP4_iProver_def),sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_65732,c_46164]) ).
cnf(c_65738,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_65734,c_63189,c_13596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET169+3 : TPTP v8.2.0. Released v2.2.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 12:51:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 14.01/2.71 % SZS status Started for theBenchmark.p
% 14.01/2.71 % SZS status Theorem for theBenchmark.p
% 14.01/2.71
% 14.01/2.71 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 14.01/2.71
% 14.01/2.71 ------ iProver source info
% 14.01/2.71
% 14.01/2.71 git: date: 2024-06-12 09:56:46 +0000
% 14.01/2.71 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 14.01/2.71 git: non_committed_changes: false
% 14.01/2.71
% 14.01/2.71 ------ Parsing...
% 14.01/2.71 ------ Clausification by vclausify_rel & Parsing by iProver...
% 14.01/2.71
% 14.01/2.71 ------ 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
% 14.01/2.71
% 14.01/2.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 14.01/2.71
% 14.01/2.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.01/2.71 ------ Proving...
% 14.01/2.71 ------ Problem Properties
% 14.01/2.71
% 14.01/2.71
% 14.01/2.71 clauses 21
% 14.01/2.71 conjectures 1
% 14.01/2.71 EPR 4
% 14.01/2.71 Horn 18
% 14.01/2.71 unary 9
% 14.01/2.71 binary 6
% 14.01/2.71 lits 39
% 14.01/2.71 lits eq 11
% 14.01/2.71 fd_pure 0
% 14.01/2.71 fd_pseudo 0
% 14.01/2.71 fd_cond 0
% 14.01/2.71 fd_pseudo_cond 3
% 14.01/2.71 AC symbols 0
% 14.01/2.71
% 14.01/2.71 ------ Schedule dynamic 5 is on
% 14.01/2.71
% 14.01/2.71 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.01/2.71
% 14.01/2.71
% 14.01/2.71 ------
% 14.01/2.71 Current options:
% 14.01/2.71 ------
% 14.01/2.71
% 14.01/2.71
% 14.01/2.71
% 14.01/2.71
% 14.01/2.71 ------ Proving...
% 14.01/2.71
% 14.01/2.71
% 14.01/2.71 % SZS status Theorem for theBenchmark.p
% 14.01/2.71
% 14.01/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.01/2.71
% 14.01/2.72
%------------------------------------------------------------------------------