%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET759+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 02:48:13 PM UTC 2026
% Result : Theorem 105.06s 17.18s
% Output : CNFRefutation 105.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 115 ( 12 unt; 0 def)
% Number of atoms : 450 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 572 ( 237 ~; 232 |; 76 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 331 ( 0 sgn 308 !; 23 ?; 106 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
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/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',injective) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( member(X3,image3(X0,X1,X2))
<=> ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image3) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( member(X3,inverse_image3(X0,X1,X2))
<=> ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_image3) ).
fof(f29,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2) )
=> equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa09) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2) )
=> equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3) ),
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,X2] :
( injective(X0,X1,X2)
=> ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X1)
& member(X3,X1) )
=> ( ( apply(X0,X4,X5)
& apply(X0,X3,X5) )
=> X3 = X4 ) ) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f33,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(unused_predicate_definition_removal,[],[f31]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2)
& ~ equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( subset(X3,X1)
& injective(X0,X1,X2)
& maps(X0,X1,X2)
& ~ equal_set(inverse_image3(X0,image3(X0,X3,X2),X1),X3) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f40,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,[],[f33]) ).
fof(f41,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,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ injective(X0,X1,X2)
| ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ injective(X0,X1,X2)
| ! [X3,X4,X5] :
( ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
( subset(sK3,sK1)
& injective(sK0,sK1,sK2)
& maps(sK0,sK1,sK2)
& ~ equal_set(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f46,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
| subset(X0,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( ~ subset(X0,X1)
| ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) ) )
& ( ( member(sK4(X0,X1),X0)
& ~ member(sK4(X0,X1),X1) )
| subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f46]) ).
fof(f48,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)
| ( apply(X0,X3,sK5(X0,X2,X3))
& member(sK5(X0,X2,X3),X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X2,X3))],[f41]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( ? [X5] :
( apply(X0,X5,X3)
& member(X5,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,image3(X0,X1,X2))
| ( apply(X0,sK6(X0,X1,X3),X3)
& member(sK6(X0,X1,X3),X1)
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X5,sK6(X0,X1,X3))],[f51]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( ? [X4] :
( apply(X0,X3,X4)
& member(X4,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( ? [X5] :
( apply(X0,X3,X5)
& member(X5,X1) )
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ( ~ member(X3,inverse_image3(X0,X1,X2))
| ( apply(X0,X3,sK7(X0,X1,X3))
& member(sK7(X0,X1,X3),X1)
& member(X3,X2) ) )
& ( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1) )
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X5,sK7(X0,X1,X3))],[f55]) ).
fof(f57,plain,
subset(sK3,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f58,plain,
injective(sK0,sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f59,plain,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f60,plain,
~ equal_set(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f63,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f64,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| apply(X0,X3,sK5(X0,X2,X3)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ maps(X0,X1,X2)
| ~ member(X3,X1)
| member(sK5(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X0,X1,X2)
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X1)
| ~ apply(X0,X4,X5)
| ~ apply(X0,X3,X5)
| X3 = X4 ),
inference(cnf_transformation,[],[f43]) ).
fof(f69,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| apply(X0,sK6(X0,X1,X3),X3) ),
inference(cnf_transformation,[],[f52]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(sK6(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X2)
| member(X3,image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| apply(X0,X3,sK7(X0,X1,X3)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(sK7(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ member(X3,inverse_image3(X0,X1,X2))
| member(X3,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X1)
| ~ member(X3,X2)
| member(X3,inverse_image3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_49,negated_conjecture,
~ equal_set(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),
inference(cnf_transformation,[],[f60]) ).
tcf(c_50,negated_conjecture,
maps(sK0,sK1,sK2),
inference(cnf_transformation,[],[f59]) ).
tcf(c_51,negated_conjecture,
injective(sK0,sK1,sK2),
inference(cnf_transformation,[],[f58]) ).
tcf(c_52,negated_conjecture,
subset(sK3,sK1),
inference(cnf_transformation,[],[f57]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(X0,X2,X3),X2)
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK5(X0,X2,X3))
| ~ member(X3,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ~ member(X5,X1)
| ~ member(X4,X2)
| ~ member(X3,X1)
| ~ apply(X0,X5,X4)
| ~ apply(X0,X3,X4)
| ~ injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X2,image3(X0,X4,X3))
| ~ member(X2,X3)
| ~ member(X1,X4)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK6(X1,X2,X0),X2)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,sK6(X1,X2,X0),X0)
| ~ member(X0,image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(X1,inverse_image3(X0,X4,X3))
| ~ member(X2,X4)
| ~ member(X1,X3)
| ~ apply(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X3)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK7(X1,X2,X0),X2)
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X1,X0,sK7(X1,X2,X0))
| ~ member(X0,inverse_image3(X1,X2,X3)) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| ( X1 != sK3 )
| ( inverse_image3(sK0,image3(sK0,sK3,sK2),sK1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_56]) ).
tcf(c_302,plain,
( ~ subset(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))
| ~ subset(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3) ),
inference(unflattening,[status(thm)],[c_301]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ~ member(X5,X2)
| ~ member(X4,X1)
| ~ member(X3,X2)
| ~ apply(X0,X5,X4)
| ~ apply(X0,X3,X4)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_60]) ).
tcf(c_312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ member(X2,sK1)
| ~ member(X1,sK2)
| ~ member(X0,sK1)
| ~ apply(sK0,X2,X1)
| ~ apply(sK0,X0,X1) ),
inference(unflattening,[status(thm)],[c_311]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( apply(X0,X3,sK5(X0,X1,X3))
| ~ member(X3,X2)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_58]) ).
tcf(c_359,plain,
! [X0: $i] :
( apply(sK0,X0,sK5(sK0,sK2,X0))
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_358]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(sK5(X0,X1,X3),X1)
| ~ member(X3,X2)
| ( X2 != sK1 )
| ( X1 != sK2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_57]) ).
tcf(c_368,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,X0),sK2)
| ~ member(X0,sK1) ),
inference(unflattening,[status(thm)],[c_367]) ).
tcf(c_575,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1157,plain,
( subset(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK3) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_1158,plain,
( subset(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)
| member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_1210,plain,
( subset(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))
| member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK3) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_1211,plain,
( subset(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_1237,plain,
! [X0: $i] :
( member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),X0)
| ~ subset(sK3,X0)
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK3) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X1,image3(X0,sK3,X2))
| ~ member(X1,X2)
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK3)
| ~ apply(X0,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),X1) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_1304,plain,
( apply(sK0,sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)))
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_1305,plain,
( member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),image3(sK0,sK3,sK2))
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_1306,plain,
( member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK1)
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1343,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_575]) ).
tcf(c_1497,plain,
( apply(sK0,sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)))
| ~ member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),image3(sK0,sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_1498,plain,
( member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK3)
| ~ member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),image3(sK0,sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_1499,plain,
( member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),sK2)
| ~ member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),image3(sK0,sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1684,plain,
( member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK1)
| ~ subset(sK3,sK1)
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK3) ),
inference(instantiation,[status(thm)],[c_1237]) ).
tcf(c_1840,plain,
( apply(sK0,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))))
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK1) ),
inference(instantiation,[status(thm)],[c_359]) ).
tcf(c_1841,plain,
( member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),sK2)
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK1) ),
inference(instantiation,[status(thm)],[c_368]) ).
tcf(c_2496,plain,
! [X0: $i,X1: $i] :
( member(X1,X0)
| ~ member(X1,sK3)
| ~ subset(sK3,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X1,sK3)
| ( X2 != sK3 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_581]) ).
tcf(c_4609,plain,
! [X0: $i] :
( member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),image3(X0,sK3,sK2))
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK3)
| ~ member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),sK2)
| ~ apply(X0,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)))) ),
inference(instantiation,[status(thm)],[c_1239]) ).
tcf(c_4610,plain,
( member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),image3(sK0,sK3,sK2))
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK3)
| ~ member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),sK2)
| ~ apply(sK0,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)))) ),
inference(instantiation,[status(thm)],[c_4609]) ).
tcf(c_7244,plain,
! [X0: $i] :
( member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),X0)
| ~ subset(sK3,X0)
| ~ member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK3) ),
inference(instantiation,[status(thm)],[c_2496]) ).
tcf(c_7288,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK3)
| ( X1 != sK3 )
| ( X0 != sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))) ) ),
inference(instantiation,[status(thm)],[c_2500]) ).
tcf(c_7512,plain,
! [X0: $i,X1: $i] :
( ( sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3) = X1 )
| ~ member(X1,sK1)
| ~ member(X0,sK2)
| ~ apply(sK0,X1,X0)
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK1)
| ~ apply(sK0,sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),X0) ),
inference(instantiation,[status(thm)],[c_312]) ).
tcf(c_8964,plain,
! [X0: $i] :
( ( sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3) = X0 )
| ~ member(X0,sK1)
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK1)
| ~ member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),sK2)
| ~ apply(sK0,X0,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)))
| ~ apply(sK0,sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))) ),
inference(instantiation,[status(thm)],[c_7512]) ).
tcf(c_15923,plain,
( member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK1)
| ~ subset(sK3,sK1)
| ~ member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK3) ),
inference(instantiation,[status(thm)],[c_7244]) ).
tcf(c_17224,plain,
! [X0: $i] :
( member(X0,sK3)
| ~ member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK3)
| ( sK3 != sK3 )
| ( X0 != sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))) ) ),
inference(instantiation,[status(thm)],[c_7288]) ).
tcf(c_26591,plain,
( ( sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3) = sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))) )
| ~ member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK1)
| ~ member(sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)),sK2)
| ~ member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK1)
| ~ apply(sK0,sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3)))
| ~ apply(sK0,sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))) ),
inference(instantiation,[status(thm)],[c_8964]) ).
tcf(c_50647,plain,
( member(sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3),sK3)
| ~ member(sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))),sK3)
| ( sK3 != sK3 )
| ( sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3) != sK6(sK0,sK3,sK7(sK0,image3(sK0,sK3,sK2),sK4(inverse_image3(sK0,image3(sK0,sK3,sK2),sK1),sK3))) ) ),
inference(instantiation,[status(thm)],[c_17224]) ).
tcf(c_67854,plain,
~ subset(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),
inference(global_subsumption_just,[status(thm)],[c_302,c_52,c_302,c_1157,c_1158,c_1306,c_1305,c_1304,c_1343,c_1499,c_1498,c_1497,c_15923,c_26591,c_50647]) ).
tcf(c_87870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X2,inverse_image3(X1,image3(sK0,X0,sK2),X3))
| ~ member(X2,X3)
| ~ apply(X1,X2,sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))))
| ~ member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),image3(sK0,X0,sK2)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_118469,plain,
! [X0: $i,X1: $i] :
( member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),inverse_image3(sK0,image3(sK0,X0,sK2),X1))
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),X1)
| ~ member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),image3(sK0,X0,sK2))
| ~ apply(sK0,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)))) ),
inference(instantiation,[status(thm)],[c_87870]) ).
tcf(c_130539,plain,
( member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))
| ~ member(sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK1)
| ~ member(sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1))),image3(sK0,sK3,sK2))
| ~ apply(sK0,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)),sK5(sK0,sK2,sK4(sK3,inverse_image3(sK0,image3(sK0,sK3,sK2),sK1)))) ),
inference(instantiation,[status(thm)],[c_118469]) ).
tcf(c_130540,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_130539,c_67854,c_4610,c_1840,c_1841,c_1684,c_1210,c_1211,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET759+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n008.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 11:53:09 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50
% 0.17/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.17/0.50
% 0.17/0.50 % Detected problem language: tptp
% 0.25/0.51 % Proving...
% 105.06/17.18 % SZS status Started for theBenchmark.p
% 105.06/17.18 % SZS status Theorem for theBenchmark.p
% 105.06/17.18
% 105.06/17.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 105.06/17.18
% 105.06/17.18 % ------ iProver source info
% 105.06/17.18
% 105.06/17.18 % git: date: 2026-07-19 20:42:38 +0200
% 105.06/17.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 105.06/17.18 % git: non_committed_changes: false
% 105.06/17.18
% 105.06/17.18 % ------ Parsing...
% 105.06/17.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 105.06/17.18
% 105.06/17.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 105.06/17.18
% 105.06/17.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 105.06/17.18
% 105.06/17.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 105.06/17.18 % ------ Proving...
% 105.06/17.18 % ------ Problem Properties
% 105.06/17.18
% 105.06/17.18 %
% 105.06/17.18 % clauses 17
% 105.06/17.18 % conjectures 1
% 105.06/17.18 % EPR 4
% 105.06/17.18 % Horn 16
% 105.06/17.18 % unary 1
% 105.06/17.18 % binary 11
% 105.06/17.18 % lits 46
% 105.06/17.18 % lits eq 2
% 105.06/17.18 % fd_pure 0
% 105.06/17.18 % fd_pseudo 0
% 105.06/17.18 % fd_cond 0
% 105.06/17.18 % fd_pseudo_cond 2
% 105.06/17.18 % AC symbols 0
% 105.06/17.18
% 105.06/17.18 % ------ Schedule dynamic 5 is on
% 105.06/17.18
% 105.06/17.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 105.06/17.18
% 105.06/17.18
% 105.06/17.18 % ------
% 105.06/17.18 % Current options:
% 105.06/17.18 % ------
% 105.06/17.18
% 105.06/17.18
% 105.06/17.18 %
% 105.06/17.18
% 105.06/17.18 % ------ Proving...
% 105.06/17.18 % Proof_search_loop: time out after: 2515 full_loop iterations
% 105.06/17.18
% 105.06/17.18 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 105.06/17.18
% 105.06/17.18
% 105.06/17.18 % ------
% 105.06/17.18 % Current options:
% 105.06/17.18 % ------
% 105.06/17.18
% 105.06/17.18
% 105.06/17.18 %
% 105.06/17.18
% 105.06/17.18 % ------ Proving...
% 105.06/17.18 %
% 105.06/17.18
% 105.06/17.18 % SZS status Theorem for theBenchmark.p
% 105.06/17.18
% 105.06/17.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.06/17.19
% 105.06/17.19
%------------------------------------------------------------------------------