%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET730+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:47:59 PM UTC 2026
% Result : Theorem 2.37s 1.19s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 5
% Syntax : Number of formulae : 144 ( 25 unt; 1 def)
% Number of atoms : 564 ( 61 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 712 ( 292 ~; 312 |; 83 &)
% ( 12 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 364 ( 0 sgn 329 !; 35 ?; 148 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X5,X6] :
( ( member(X6,X2)
& member(X5,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X6)
& apply(X0,X3,X5) )
=> X5 = X6 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(f22,axiom,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(f29,conjecture,
! [X0,X1,X2,X3,X4] :
( ( ! [X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) )
=> maps(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII21) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( ! [X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) )
=> maps(X1,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ( member(X7,X2)
& member(X6,X2)
& member(X5,X1) )
=> ( ( apply(X0,X5,X7)
& apply(X0,X5,X6) )
=> X6 = X7 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1] :
( subset(X0,X1)
=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f33,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3)
& ~ maps(X1,X2,X4) ),
inference(ennf_transformation,[],[f30]) ).
fof(f34,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3)
& ~ maps(X1,X2,X4) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f36,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f37,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 )
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(flattening,[],[f36]) ).
fof(f40,plain,
? [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ~ member(X6,X4)
| ~ member(X5,X2)
| ( ( ~ apply(X1,X5,X6)
| apply(X0,X5,X6) )
& ( ~ apply(X0,X5,X6)
| apply(X1,X5,X6) ) ) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3)
& ~ maps(X1,X2,X4) ),
inference(nnf_transformation,[],[f34]) ).
fof(f41,plain,
( ! [X5,X6] :
( ~ member(X6,sK5)
| ~ member(X5,sK3)
| ( ( ~ apply(sK2,X5,X6)
| apply(sK1,X5,X6) )
& ( ~ apply(sK1,X5,X6)
| apply(sK2,X5,X6) ) ) )
& sK5 = image2(sK1,sK3)
& subset(sK5,sK4)
& maps(sK1,sK3,sK4)
& ~ maps(sK2,sK3,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f40]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP0(X0,X1,X2)
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) )
& ( ~ sP0(X0,X1,X2)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP0(X0,X1,X2)
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) )
& ( ~ sP0(X0,X1,X2)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP0(X0,X1,X2)
& ! [X5] :
( ~ member(X5,X1)
| ? [X6] :
( apply(X0,X5,X6)
& member(X6,X2) ) ) ) )
& ( ~ sP0(X0,X1,X2)
| ? [X3] :
( member(X3,X1)
& ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( ~ maps(X0,X1,X2)
| ( sP0(X0,X1,X2)
& ! [X5] :
( ~ member(X5,X1)
| ( apply(X0,X5,sK10(X0,X2,X5))
& member(sK10(X0,X2,X5),X2) ) ) ) )
& ( ~ sP0(X0,X1,X2)
| ( member(sK9(X0,X1,X2),X1)
& ! [X4] :
( ~ apply(X0,sK9(X0,X1,X2),X4)
| ~ member(X4,X2) ) )
| maps(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X3,sK9(X0,X1,X2)),skolemize(X6,sK10(X0,X2,X5))],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( ~ member(X2,image2(X0,X1))
| ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) ) )
& ( ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) )
| member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ~ member(X2,image2(X0,X1))
| ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) ) )
& ( ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) )
| member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f49]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ~ member(X2,image2(X0,X1))
| ( apply(X0,sK11(X0,X1,X2),X2)
& member(sK11(X0,X1,X2),X1) ) )
& ( ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) )
| member(X2,image2(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2))],[f50]) ).
fof(f52,plain,
! [X6,X5] :
( ~ member(X6,sK5)
| ~ member(X5,sK3)
| ~ apply(sK2,X5,X6)
| apply(sK1,X5,X6) ),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X6,X5] :
( ~ member(X6,sK5)
| ~ member(X5,sK3)
| ~ apply(sK1,X5,X6)
| apply(sK2,X5,X6) ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
sK5 = image2(sK1,sK3),
inference(cnf_transformation,[],[f41]) ).
fof(f55,plain,
subset(sK5,sK4),
inference(cnf_transformation,[],[f41]) ).
fof(f56,plain,
maps(sK1,sK3,sK4),
inference(cnf_transformation,[],[f41]) ).
fof(f57,plain,
~ maps(sK2,sK3,sK5),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ maps(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f67,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| apply(X0,X5,sK10(X0,X2,X5)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f68,plain,
! [X2,X0,X1,X5] :
( ~ maps(X0,X1,X2)
| ~ member(X5,X1)
| member(sK10(X0,X2,X5),X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| member(sK9(X0,X1,X2),X1)
| maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ apply(X0,sK9(X0,X1,X2),X4)
| ~ member(X4,X2)
| maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| apply(X0,sK11(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ member(X2,image2(X0,X1))
| member(sK11(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1)
| member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_49,negated_conjecture,
~ maps(sK2,sK3,sK5),
inference(cnf_transformation,[],[f57]) ).
tcf(c_50,negated_conjecture,
maps(sK1,sK3,sK4),
inference(cnf_transformation,[],[f56]) ).
tcf(c_51,negated_conjecture,
subset(sK5,sK4),
inference(cnf_transformation,[],[f55]) ).
tcf(c_52,negated_conjecture,
image2(sK1,sK3) = sK5,
inference(cnf_transformation,[],[f54]) ).
tcf(c_53,negated_conjecture,
! [X0: $i,X1: $i] :
( apply(sK2,X0,X1)
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| ~ apply(sK1,X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_54,negated_conjecture,
! [X0: $i,X1: $i] :
( apply(sK1,X0,X1)
| ~ member(X1,sK5)
| ~ member(X0,sK3)
| ~ apply(sK2,X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( maps(X0,X1,X2)
| ~ member(X3,X2)
| ~ sP0(X0,X1,X2)
| ~ apply(X0,sK9(X0,X1,X2),X3) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( maps(X0,X1,X2)
| member(sK9(X0,X1,X2),X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK10(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK10(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,image2(X0,X3))
| ~ member(X1,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(sK11(X1,X2,X0),X2)
| ~ member(X0,image2(X1,X2)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( apply(X1,sK11(X1,X2,X0),X0)
| ~ member(X0,image2(X1,X2)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ( X1 != sK4 )
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_55]) ).
tcf(c_311,plain,
! [X0: $i] :
( member(X0,sK4)
| ~ member(X0,sK5) ),
inference(unflattening,[status(thm)],[c_310]) ).
tcf(c_421,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X1,X0,X2)
| ( X2 != sK4 )
| ( X1 != sK1 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_67]) ).
tcf(c_422,plain,
sP0(sK1,sK3,sK4),
inference(unflattening,[status(thm)],[c_421]) ).
tcf(c_2000,plain,
sP0(sK1,sK3,sK4),
inference(superposition,[status(thm)],[c_50,c_67]) ).
tcf(c_2097,plain,
! [X0: $i,X1: $i] :
( apply(sK1,sK11(sK2,X0,X1),X1)
| ~ member(X1,sK5)
| ~ member(X1,image2(sK2,X0))
| ~ member(sK11(sK2,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_70,c_54]) ).
tcf(c_2098,plain,
! [X0: $i,X1: $i] :
( apply(sK2,sK11(sK1,X0,X1),X1)
| ~ member(X1,sK5)
| ~ member(X1,image2(sK1,X0))
| ~ member(sK11(sK1,X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_70,c_53]) ).
tcf(c_2165,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,image2(sK2,X2))
| ~ member(X1,sK5)
| ~ member(X1,image2(sK1,X0))
| ~ member(sK11(sK1,X0,X1),sK3)
| ~ member(sK11(sK1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2098,c_68]) ).
tcf(c_2222,plain,
! [X0: $i] :
( member(sK10(sK1,sK4,X0),sK4)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_2241,plain,
! [X0: $i] :
( apply(sK1,X0,sK10(sK1,sK4,X0))
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_50,c_66]) ).
tcf(c_2248,plain,
! [X0: $i] :
( apply(sK2,X0,sK10(sK1,sK4,X0))
| ~ member(X0,sK3)
| ~ member(sK10(sK1,sK4,X0),sK5) ),
inference(superposition,[status(thm)],[c_2241,c_53]) ).
tcf(c_2249,plain,
! [X0: $i,X1: $i] :
( member(sK10(sK1,sK4,X0),image2(sK1,X1))
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_2241,c_68]) ).
tcf(c_2323,plain,
! [X0: $i] :
( member(sK10(sK1,sK4,X0),sK5)
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_52,c_2249]) ).
tcf(c_2331,plain,
! [X0: $i] :
( apply(sK2,X0,sK10(sK1,sK4,X0))
| ~ member(X0,sK3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2248,c_2323]) ).
tcf(c_2498,plain,
! [X0: $i,X1: $i] :
( member(sK10(sK1,sK4,X0),image2(sK2,X1))
| ~ member(X0,sK3)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_2331,c_68]) ).
tcf(c_2499,plain,
! [X0: $i,X1: $i] :
( maps(sK2,X0,X1)
| ~ sP0(sK2,X0,X1)
| ~ member(sK9(sK2,X0,X1),sK3)
| ~ member(sK10(sK1,sK4,sK9(sK2,X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_2331,c_63]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i] :
( member(X0,image2(sK2,X1))
| ~ member(X0,sK5)
| ~ member(X0,image2(sK1,sK3))
| ~ member(sK11(sK1,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_69,c_2165]) ).
tcf(c_2661,plain,
! [X0: $i,X1: $i] :
( member(X0,image2(sK2,X1))
| ~ member(X0,sK5)
| ~ member(sK11(sK1,sK3,X0),X1) ),
inference(light_normalisation,[status(thm)],[c_2660,c_52]) ).
tcf(c_2672,plain,
! [X0: $i] :
( member(X0,image2(sK2,sK3))
| ~ member(X0,sK5)
| ~ member(X0,image2(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_69,c_2661]) ).
tcf(c_2673,plain,
! [X0: $i] :
( member(X0,image2(sK2,sK3))
| ~ member(X0,sK5) ),
inference(light_normalisation,[status(thm)],[c_2672,c_52]) ).
tcf(c_4181,plain,
! [X0: $i] :
( maps(sK2,X0,sK5)
| ~ sP0(sK2,X0,sK5)
| ~ member(sK9(sK2,X0,sK5),sK3) ),
inference(superposition,[status(thm)],[c_2323,c_2499]) ).
tcf(c_4393,plain,
( maps(sK2,sK3,sK5)
| ~ sP0(sK2,sK3,sK5) ),
inference(superposition,[status(thm)],[c_64,c_4181]) ).
tcf(c_4394,plain,
~ sP0(sK2,sK3,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_4393,c_49]) ).
fof(f38,definition,
! [X0,X1,X2] :
( sP0(X0,X1,X2)
<=> ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f39,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( sP0(X0,X1,X2)
& ! [X3] :
( ~ member(X3,X1)
| ? [X4] :
( apply(X0,X3,X4)
& member(X4,X2) ) ) ) ),
inference(definition_folding,[],[f37,f38]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ! [X5,X6,X7] :
( ~ member(X7,X2)
| ~ member(X6,X2)
| ~ member(X5,X1)
| ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7 ) )
& ( ? [X5,X6,X7] :
( member(X7,X2)
& member(X6,X2)
& member(X5,X1)
& apply(X0,X5,X7)
& apply(X0,X5,X6)
& X6 != X7 )
| sP0(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ! [X6,X7,X8] :
( ~ member(X8,X2)
| ~ member(X7,X2)
| ~ member(X6,X1)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| X7 = X8 ) )
& ( ? [X3,X4,X5] :
( member(X5,X2)
& member(X4,X2)
& member(X3,X1)
& apply(X0,X3,X5)
& apply(X0,X3,X4)
& X4 != X5 )
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ! [X6,X7,X8] :
( ~ member(X8,X2)
| ~ member(X7,X2)
| ~ member(X6,X1)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| X7 = X8 ) )
& ( ( member(sK8(X0,X1,X2),X2)
& member(sK7(X0,X1,X2),X2)
& member(sK6(X0,X1,X2),X1)
& apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& sK7(X0,X1,X2) != sK8(X0,X1,X2) )
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2)),skolemize(X5,sK8(X0,X1,X2))],[f43]) ).
fof(f59,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ sP0(X0,X1,X2)
| ~ member(X8,X2)
| ~ member(X7,X2)
| ~ member(X6,X1)
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| X7 = X8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f63,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f64,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X2,X0,X1] :
( sK7(X0,X1,X2) != sK8(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| ( sK7(X0,X1,X2) != sK8(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2)) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| member(sK6(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| member(sK7(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X1,X2)
| member(sK8(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ~ member(X3,X5)
| ~ member(X2,X5)
| ~ member(X1,X4)
| ~ sP0(X0,X4,X5)
| ~ apply(X0,X1,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_2005,plain,
! [X0: $i,X1: $i] :
( sP0(sK2,X0,X1)
| apply(sK1,sK6(sK2,X0,X1),sK7(sK2,X0,X1))
| ~ member(sK6(sK2,X0,X1),sK3)
| ~ member(sK7(sK2,X0,X1),sK5) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_2141,plain,
! [X0: $i,X1: $i] :
( sP0(sK2,X0,X1)
| apply(sK1,sK6(sK2,X0,X1),sK8(sK2,X0,X1))
| ~ member(sK6(sK2,X0,X1),sK3)
| ~ member(sK8(sK2,X0,X1),sK5) ),
inference(superposition,[status(thm)],[c_58,c_54]) ).
tcf(c_2378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sK10(sK1,sK4,X0) = X2 )
| ~ member(X0,sK3)
| ~ member(X2,X1)
| ~ member(X0,X3)
| ~ sP0(sK1,X3,X1)
| ~ apply(sK1,X0,X2)
| ~ member(sK10(sK1,sK4,X0),X1) ),
inference(superposition,[status(thm)],[c_2241,c_62]) ).
tcf(c_2379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sK2,X0,X1)
| ( sK7(sK2,X0,X1) = X2 )
| ~ member(X2,X3)
| ~ sP0(sK1,X4,X3)
| ~ member(sK6(sK2,X0,X1),sK3)
| ~ member(sK7(sK2,X0,X1),sK5)
| ~ member(sK6(sK2,X0,X1),X4)
| ~ member(sK7(sK2,X0,X1),X3)
| ~ apply(sK1,sK6(sK2,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2005,c_62]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP0(sK2,X0,X1)
| ( sK8(sK2,X0,X1) = X2 )
| ~ member(X2,X3)
| ~ sP0(sK1,X4,X3)
| ~ member(sK6(sK2,X0,X1),sK3)
| ~ member(sK8(sK2,X0,X1),sK5)
| ~ member(sK6(sK2,X0,X1),X4)
| ~ member(sK8(sK2,X0,X1),X3)
| ~ apply(sK1,sK6(sK2,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2141,c_62]) ).
tcf(c_2475,plain,
( sP0(sK2,sK3,sK5)
| member(sK8(sK2,sK3,sK5),sK5) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_2476,plain,
( sP0(sK2,sK3,sK5)
| member(sK7(sK2,sK3,sK5),sK5) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_2477,plain,
( sP0(sK2,sK3,sK5)
| member(sK6(sK2,sK3,sK5),sK3) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_3433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(sK1,sK4,X0) = X1 )
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X0,X2)
| ~ sP0(sK1,X2,sK4)
| ~ apply(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_2222,c_2378]) ).
tcf(c_3633,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(sK1,sK4,sK11(sK2,X0,X1)) = X1 )
| ~ member(X1,sK4)
| ~ member(X1,sK5)
| ~ sP0(sK1,X2,sK4)
| ~ member(X1,image2(sK2,X0))
| ~ member(sK11(sK2,X0,X1),sK3)
| ~ member(sK11(sK2,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_2097,c_3433]) ).
tcf(c_4055,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(sK1,sK4,sK11(sK2,X0,X1)) = X1 )
| ~ member(X1,sK5)
| ~ sP0(sK1,X2,sK4)
| ~ member(X1,image2(sK2,X0))
| ~ member(sK11(sK2,X0,X1),sK3)
| ~ member(sK11(sK2,X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3633,c_311]) ).
tcf(c_4074,plain,
! [X0: $i,X1: $i] :
( ( sK10(sK1,sK4,sK11(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK5)
| ~ sP0(sK1,X1,sK4)
| ~ member(X0,image2(sK2,sK3))
| ~ member(sK11(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_69,c_4055]) ).
tcf(c_4692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK2,X0,X1)
| ( sK10(sK1,sK4,sK6(sK2,X0,X1)) = sK7(sK2,X0,X1) )
| ~ sP0(sK1,X3,X2)
| ~ member(sK6(sK2,X0,X1),sK3)
| ~ member(sK7(sK2,X0,X1),sK5)
| ~ member(sK6(sK2,X0,X1),X3)
| ~ member(sK7(sK2,X0,X1),X2)
| ~ member(sK10(sK1,sK4,sK6(sK2,X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2241,c_2379]) ).
tcf(c_4734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(sK2,X0,X1)
| ( sK10(sK1,sK4,sK6(sK2,X0,X1)) = sK8(sK2,X0,X1) )
| ~ sP0(sK1,X3,X2)
| ~ member(sK6(sK2,X0,X1),sK3)
| ~ member(sK8(sK2,X0,X1),sK5)
| ~ member(sK6(sK2,X0,X1),X3)
| ~ member(sK8(sK2,X0,X1),X2)
| ~ member(sK10(sK1,sK4,sK6(sK2,X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_2241,c_2383]) ).
tcf(c_6415,plain,
! [X0: $i,X1: $i] :
( ( sK10(sK1,sK4,sK11(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK5)
| ~ sP0(sK1,X1,sK4)
| ~ member(sK11(sK2,sK3,X0),X1) ),
inference(global_subsumption_just,[status(thm)],[c_4074,c_2673,c_4074]) ).
tcf(c_6426,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK11(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK5)
| ~ sP0(sK1,sK3,sK4)
| ~ member(X0,image2(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_69,c_6415]) ).
tcf(c_6436,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK11(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK5)
| ~ member(X0,image2(sK2,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6426,c_2000]) ).
tcf(c_6565,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK11(sK2,sK3,X0)) = X0 )
| ~ member(X0,sK5) ),
inference(global_subsumption_just,[status(thm)],[c_6436,c_2673,c_6436]) ).
tcf(c_6573,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,sK5)
| ( sK10(sK1,sK4,sK11(sK2,sK3,sK7(X0,X1,sK5))) = sK7(X0,X1,sK5) ) ),
inference(superposition,[status(thm)],[c_60,c_6565]) ).
tcf(c_6574,plain,
! [X0: $i,X1: $i] :
( sP0(X0,X1,sK5)
| ( sK10(sK1,sK4,sK11(sK2,sK3,sK8(X0,X1,sK5))) = sK8(X0,X1,sK5) ) ),
inference(superposition,[status(thm)],[c_61,c_6565]) ).
tcf(c_6577,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK11(sK2,sK3,sK10(sK1,sK4,X0))) = sK10(sK1,sK4,X0) )
| ~ member(X0,sK3) ),
inference(superposition,[status(thm)],[c_2323,c_6565]) ).
tcf(c_6655,plain,
sK10(sK1,sK4,sK11(sK2,sK3,sK7(sK2,sK3,sK5))) = sK7(sK2,sK3,sK5),
inference(superposition,[status(thm)],[c_6573,c_4394]) ).
tcf(c_6669,plain,
( member(sK7(sK2,sK3,sK5),sK5)
| ~ member(sK11(sK2,sK3,sK7(sK2,sK3,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_6655,c_2323]) ).
tcf(c_6779,plain,
member(sK7(sK2,sK3,sK5),sK5),
inference(global_subsumption_just,[status(thm)],[c_6669,c_2476,c_4394]) ).
tcf(c_6782,plain,
member(sK7(sK2,sK3,sK5),sK4),
inference(superposition,[status(thm)],[c_6779,c_311]) ).
tcf(c_6835,plain,
! [X0: $i,X1: $i] :
( sP0(X0,sK3,X1)
| ( sK10(sK1,sK4,sK11(sK2,sK3,sK10(sK1,sK4,sK6(X0,sK3,X1)))) = sK10(sK1,sK4,sK6(X0,sK3,X1)) ) ),
inference(superposition,[status(thm)],[c_59,c_6577]) ).
tcf(c_6908,plain,
sK10(sK1,sK4,sK11(sK2,sK3,sK8(sK2,sK3,sK5))) = sK8(sK2,sK3,sK5),
inference(superposition,[status(thm)],[c_6574,c_4394]) ).
tcf(c_6922,plain,
( member(sK8(sK2,sK3,sK5),sK5)
| ~ member(sK11(sK2,sK3,sK8(sK2,sK3,sK5)),sK3) ),
inference(superposition,[status(thm)],[c_6908,c_2323]) ).
tcf(c_6995,plain,
member(sK8(sK2,sK3,sK5),sK5),
inference(global_subsumption_just,[status(thm)],[c_6922,c_2475,c_4394]) ).
tcf(c_6998,plain,
member(sK8(sK2,sK3,sK5),sK4),
inference(superposition,[status(thm)],[c_6995,c_311]) ).
tcf(c_7155,plain,
sK10(sK1,sK4,sK11(sK2,sK3,sK10(sK1,sK4,sK6(sK2,sK3,sK5)))) = sK10(sK1,sK4,sK6(sK2,sK3,sK5)),
inference(superposition,[status(thm)],[c_6835,c_4394]) ).
tcf(c_7256,plain,
( member(sK10(sK1,sK4,sK6(sK2,sK3,sK5)),sK5)
| ~ member(sK11(sK2,sK3,sK10(sK1,sK4,sK6(sK2,sK3,sK5))),sK3) ),
inference(superposition,[status(thm)],[c_7155,c_2323]) ).
tcf(c_7345,plain,
( member(sK10(sK1,sK4,sK6(sK2,sK3,sK5)),sK5)
| ~ member(sK10(sK1,sK4,sK6(sK2,sK3,sK5)),image2(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_69,c_7256]) ).
tcf(c_7419,plain,
( member(sK10(sK1,sK4,sK6(sK2,sK3,sK5)),sK5)
| ~ member(sK6(sK2,sK3,sK5),sK3) ),
inference(superposition,[status(thm)],[c_2498,c_7345]) ).
tcf(c_7492,plain,
member(sK10(sK1,sK4,sK6(sK2,sK3,sK5)),sK5),
inference(global_subsumption_just,[status(thm)],[c_7419,c_2477,c_4394,c_7419]) ).
tcf(c_7495,plain,
member(sK10(sK1,sK4,sK6(sK2,sK3,sK5)),sK4),
inference(superposition,[status(thm)],[c_7492,c_311]) ).
tcf(c_7497,plain,
! [X0: $i] :
( sP0(sK2,sK3,sK5)
| ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK8(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK5)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK8(sK2,sK3,sK5),sK5)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_7492,c_4734]) ).
tcf(c_7498,plain,
! [X0: $i] :
( sP0(sK2,sK3,sK5)
| ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK7(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK5)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK7(sK2,sK3,sK5),sK5)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_7492,c_4692]) ).
tcf(c_7505,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK7(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK5)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7498,c_4394,c_6779]) ).
tcf(c_7510,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK8(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK5)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7497,c_4394,c_6995]) ).
tcf(c_7519,plain,
! [X0: $i] :
( sP0(sK2,sK3,sK5)
| ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK8(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK4)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK8(sK2,sK3,sK5),sK4)
| ~ member(sK8(sK2,sK3,sK5),sK5)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_7495,c_4734]) ).
tcf(c_7520,plain,
! [X0: $i] :
( sP0(sK2,sK3,sK5)
| ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK7(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK4)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK7(sK2,sK3,sK5),sK4)
| ~ member(sK7(sK2,sK3,sK5),sK5)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_7495,c_4692]) ).
tcf(c_7527,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK7(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK4)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7520,c_4394,c_6782,c_6779]) ).
tcf(c_7532,plain,
! [X0: $i] :
( ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK8(sK2,sK3,sK5) )
| ~ sP0(sK1,X0,sK4)
| ~ member(sK6(sK2,sK3,sK5),sK3)
| ~ member(sK6(sK2,sK3,sK5),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7519,c_4394,c_6998,c_6995]) ).
tcf(c_7537,plain,
( ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK8(sK2,sK3,sK5) )
| ~ sP0(sK1,sK3,sK4)
| ~ member(sK6(sK2,sK3,sK5),sK3) ),
inference(instantiation,[status(thm)],[c_7532]) ).
tcf(c_7538,plain,
( ( sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK7(sK2,sK3,sK5) )
| ~ sP0(sK1,sK3,sK4)
| ~ member(sK6(sK2,sK3,sK5),sK3) ),
inference(instantiation,[status(thm)],[c_7527]) ).
tcf(c_7575,plain,
sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK7(sK2,sK3,sK5),
inference(global_subsumption_just,[status(thm)],[c_7505,c_422,c_2477,c_4394,c_7538]) ).
tcf(c_7724,plain,
sK10(sK1,sK4,sK6(sK2,sK3,sK5)) = sK8(sK2,sK3,sK5),
inference(global_subsumption_just,[status(thm)],[c_7510,c_422,c_2477,c_4394,c_7537]) ).
tcf(c_7726,plain,
sK7(sK2,sK3,sK5) = sK8(sK2,sK3,sK5),
inference(light_normalisation,[status(thm)],[c_7724,c_7575]) ).
tcf(c_7734,plain,
sP0(sK2,sK3,sK5),
inference(superposition,[status(thm)],[c_7726,c_56]) ).
tcf(c_7740,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7734,c_4394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET730+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 11:50:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 2.37/1.19 % SZS status Started for theBenchmark.p
% 2.37/1.19 % SZS status Theorem for theBenchmark.p
% 2.37/1.19
% 2.37/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.37/1.19
% 2.37/1.19 % ------ iProver source info
% 2.37/1.19
% 2.37/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.37/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.37/1.19 % git: non_committed_changes: false
% 2.37/1.19
% 2.37/1.19 % ------ Parsing...
% 2.37/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.37/1.19
% 2.37/1.19 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.37/1.19
% 2.37/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.37/1.19
% 2.37/1.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.37/1.19 % ------ Proving...
% 2.37/1.19 % ------ Problem Properties
% 2.37/1.19
% 2.37/1.19 %
% 2.37/1.19 % clauses 21
% 2.37/1.19 % conjectures 5
% 2.37/1.19 % EPR 7
% 2.37/1.19 % Horn 15
% 2.37/1.19 % unary 3
% 2.37/1.19 % binary 10
% 2.37/1.19 % lits 54
% 2.37/1.19 % lits eq 3
% 2.37/1.19 % fd_pure 0
% 2.37/1.19 % fd_pseudo 0
% 2.37/1.19 % fd_cond 0
% 2.37/1.19 % fd_pseudo_cond 1
% 2.37/1.19 % AC symbols 0
% 2.37/1.19
% 2.37/1.19 % ------ Schedule dynamic 5 is on
% 2.37/1.19
% 2.37/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.37/1.19
% 2.37/1.19
% 2.37/1.19 % ------
% 2.37/1.19 % Current options:
% 2.37/1.19 % ------
% 2.37/1.19
% 2.37/1.19
% 2.37/1.19 %
% 2.37/1.19
% 2.37/1.19 % ------ Proving...
% 2.37/1.19 %
% 2.37/1.19
% 2.37/1.19 % SZS status Theorem for theBenchmark.p
% 2.37/1.19
% 2.37/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.37/1.19
% 2.37/1.19
%------------------------------------------------------------------------------