%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV568+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 03:02:40 PM UTC 2026
% Result : Theorem 68.62s 16.89s
% Output : CNFRefutation 68.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 30
% Syntax : Number of formulae : 206 ( 77 unt; 20 def)
% Number of atoms : 732 ( 101 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 340 ( 128 ~; 192 |; 12 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 172 !; 2 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',setext) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X2)
| mem(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',u_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',p_ax) ).
fof(f26,conjecture,
~ subq(u(a(s(s(n(e))),p(s(n(e)))),u(s(s(n(n(e)))),n(n(n(n(e)))))),u(a(n(s(n(e))),p(s(n(e)))),a(n(s(n(n(e)))),n(n(n(e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nsubq_2351_2350) ).
fof(f27,negated_conjecture,
~ ~ subq(u(a(s(s(n(e))),p(s(n(e)))),u(s(s(n(n(e)))),n(n(n(n(e)))))),u(a(n(s(n(e))),p(s(n(e)))),a(n(s(n(n(e)))),n(n(n(e)))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
subq(u(a(s(s(n(e))),p(s(n(e)))),u(s(s(n(n(e)))),n(n(n(n(e)))))),u(a(n(s(n(e))),p(s(n(e)))),a(n(s(n(n(e)))),n(n(n(e)))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X2] :
( ~ mem(X2,X0)
| mem(X2,X1) ) )
& ( ? [X2] :
( mem(X2,X0)
& ~ mem(X2,X1) )
| subq(X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X3] :
( ~ mem(X3,X0)
| mem(X3,X1) ) )
& ( ? [X2] :
( mem(X2,X0)
& ~ mem(X2,X1) )
| subq(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ subq(X0,X1)
| ! [X3] :
( ~ mem(X3,X0)
| mem(X3,X1) ) )
& ( ( mem(sK0(X0,X1),X0)
& ~ mem(sK0(X0,X1),X1) )
| subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ mem(X0,s(X1))
| X0 = X1 )
& ( X0 != X1
| mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) )
& ( ( ~ mem(X0,X2)
& ~ mem(X0,X1) )
| mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) )
& ( ( ~ mem(X0,X2)
& ~ mem(X0,X1) )
| mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f36]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ mem(X0,p(X1))
| subq(X0,X1) )
& ( ~ subq(X0,X1)
| mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f41,plain,
! [X3,X0,X1] :
( ~ subq(X0,X1)
| ~ mem(X3,X0)
| mem(X3,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f42,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| ~ subq(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f45,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f47,plain,
! [X0,X1] :
( X0 != X1
| mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ mem(X0,X2)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ mem(X0,X1)
| mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subq(X0,X1)
| mem(X0,p(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
subq(u(a(s(s(n(e))),p(s(n(e)))),u(s(s(n(n(e)))),n(n(n(n(e)))))),u(a(n(s(n(e))),p(s(n(e)))),a(n(s(n(n(e)))),n(n(n(e)))))),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f55,f54]) ).
fof(f60,plain,
subq(u(u(s(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(definition_unfolding,[],[f58,f54,f59,f59,f59,f59,f59,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f59,f59,f59,f59]) ).
fof(f61,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f47]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| ~ mem(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( subq(X0,X1)
| mem(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X2,X1)
| ~ mem(X2,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_53,plain,
! [X0: $i] : ~ mem(X0,e),
inference(cnf_transformation,[],[f45]) ).
tcf(c_54,plain,
! [X0: $i] : mem(X0,s(X0)),
inference(cnf_transformation,[],[f61]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ mem(X0,s(X1)) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,u(X2,X1))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| mem(X0,X1)
| ~ mem(X0,u(X1,X2)) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_64,negated_conjecture,
subq(u(u(s(s(u(e,s(e)))),s(p(s(u(e,s(e)))))),u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(s(u(u(e,s(e)),s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
inference(cnf_transformation,[],[f60]) ).
tcf(c_65,plain,
mem(e,s(e)),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_66,plain,
~ mem(e,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_71,plain,
( ( e = e )
| ~ mem(e,s(e)) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_264,definition,
iPr_def_10 = s(e),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_265,definition,
iPr_def_11 = u(e,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_266,definition,
iPr_def_12 = s(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_267,definition,
iPr_def_13 = s(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_268,definition,
iPr_def_14 = p(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_269,definition,
iPr_def_15 = s(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_270,definition,
iPr_def_16 = u(iPr_def_13,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_271,definition,
iPr_def_17 = u(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_272,definition,
iPr_def_18 = s(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_273,definition,
iPr_def_19 = s(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_274,definition,
iPr_def_20 = u(iPr_def_17,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_275,definition,
iPr_def_21 = s(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_276,definition,
iPr_def_22 = u(iPr_def_20,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_277,definition,
iPr_def_23 = u(iPr_def_19,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_278,definition,
iPr_def_24 = u(iPr_def_16,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_279,definition,
iPr_def_25 = u(iPr_def_12,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_280,definition,
iPr_def_26 = u(iPr_def_25,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_281,definition,
iPr_def_27 = u(iPr_def_18,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_282,definition,
iPr_def_28 = u(iPr_def_27,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_283,definition,
iPr_def_29 = u(iPr_def_26,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_284,negated_conjecture,
subq(iPr_def_24,iPr_def_29),
inference(demodulation,[status(thm)],[c_64,c_281,c_282,c_279,c_280,c_283,c_275,c_274,c_276,c_271,c_272,c_273,c_277,c_268,c_269,c_264,c_265,c_266,c_267,c_270,c_278]) ).
tcf(c_289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( mem(X0,X2)
| ~ mem(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_781,plain,
mem(e,iPr_def_10),
inference(superposition,[status(thm)],[c_264,c_54]) ).
tcf(c_785,plain,
mem(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_272,c_54]) ).
tcf(c_790,plain,
! [X0: $i] : subq(e,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_796,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_268,c_62]) ).
tcf(c_804,plain,
mem(e,iPr_def_14),
inference(superposition,[status(thm)],[c_790,c_796]) ).
tcf(c_858,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_861,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ mem(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_266,c_55]) ).
tcf(c_863,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ mem(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_269,c_55]) ).
tcf(c_864,plain,
! [X0: $i] :
( ( X0 = iPr_def_17 )
| ~ mem(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_272,c_55]) ).
tcf(c_885,plain,
( ( e = iPr_def_17 )
| ~ mem(e,iPr_def_18) ),
inference(instantiation,[status(thm)],[c_864]) ).
tcf(c_886,plain,
( ( e = iPr_def_14 )
| ~ mem(e,iPr_def_15) ),
inference(instantiation,[status(thm)],[c_863]) ).
tcf(c_896,plain,
! [X0: $i] :
( mem(X0,iPr_def_17)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_271,c_56]) ).
tcf(c_897,plain,
! [X0: $i] :
( mem(X0,iPr_def_20)
| ~ mem(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_274,c_56]) ).
tcf(c_898,plain,
! [X0: $i] :
( mem(X0,iPr_def_22)
| ~ mem(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_276,c_56]) ).
tcf(c_940,plain,
( mem(e,iPr_def_17)
| ~ mem(e,iPr_def_11) ),
inference(instantiation,[status(thm)],[c_896]) ).
tcf(c_947,plain,
! [X0: $i] :
( mem(X0,iPr_def_11)
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_265,c_57]) ).
tcf(c_952,plain,
! [X0: $i] :
( mem(X0,iPr_def_23)
| ~ mem(X0,iPr_def_22) ),
inference(superposition,[status(thm)],[c_277,c_57]) ).
tcf(c_953,plain,
! [X0: $i] :
( mem(X0,iPr_def_24)
| ~ mem(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_278,c_57]) ).
tcf(c_997,plain,
( mem(e,iPr_def_11)
| ~ mem(e,iPr_def_10) ),
inference(instantiation,[status(thm)],[c_947]) ).
tcf(c_1157,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_781,c_51]) ).
tcf(c_1161,plain,
! [X0: $i] :
( mem(iPr_def_17,X0)
| ~ subq(iPr_def_18,X0) ),
inference(superposition,[status(thm)],[c_785,c_51]) ).
tcf(c_1218,plain,
( mem(iPr_def_17,e)
| ~ subq(iPr_def_18,e) ),
inference(instantiation,[status(thm)],[c_1161]) ).
tcf(c_1284,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| mem(X0,e)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_265,c_58]) ).
tcf(c_1292,plain,
! [X0: $i] :
( mem(X0,iPr_def_25)
| mem(X0,iPr_def_15)
| ~ mem(X0,iPr_def_26) ),
inference(superposition,[status(thm)],[c_280,c_58]) ).
tcf(c_1293,plain,
! [X0: $i] :
( mem(X0,iPr_def_19)
| mem(X0,iPr_def_18)
| ~ mem(X0,iPr_def_27) ),
inference(superposition,[status(thm)],[c_281,c_58]) ).
tcf(c_1294,plain,
! [X0: $i] :
( mem(X0,iPr_def_27)
| mem(X0,iPr_def_21)
| ~ mem(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_282,c_58]) ).
tcf(c_1295,plain,
! [X0: $i] :
( mem(X0,iPr_def_28)
| mem(X0,iPr_def_26)
| ~ mem(X0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_283,c_58]) ).
tcf(c_1329,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| ~ mem(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1284,c_53]) ).
tcf(c_1337,plain,
( mem(e,iPr_def_19)
| mem(e,iPr_def_18)
| ~ mem(e,iPr_def_27) ),
inference(instantiation,[status(thm)],[c_1293]) ).
tcf(c_1432,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_947]) ).
tcf(c_1433,plain,
mem(e,iPr_def_11),
inference(superposition,[status(thm)],[c_781,c_947]) ).
tcf(c_1438,plain,
mem(e,iPr_def_17),
inference(superposition,[status(thm)],[c_1433,c_896]) ).
tcf(c_1444,plain,
mem(e,iPr_def_20),
inference(superposition,[status(thm)],[c_1438,c_897]) ).
tcf(c_1450,plain,
mem(e,iPr_def_22),
inference(superposition,[status(thm)],[c_1444,c_898]) ).
tcf(c_1604,plain,
mem(e,iPr_def_23),
inference(superposition,[status(thm)],[c_1450,c_952]) ).
tcf(c_1630,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(s(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_264,c_858]) ).
tcf(c_1657,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(light_normalisation,[status(thm)],[c_1630,c_264]) ).
tcf(c_1706,plain,
mem(e,iPr_def_24),
inference(superposition,[status(thm)],[c_1604,c_953]) ).
tcf(c_1777,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ~ mem(X1,iPr_def_10)
| ( X2 != iPr_def_10 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_289]) ).
tcf(c_1778,plain,
( mem(e,e)
| ~ mem(e,iPr_def_10)
| ( e != iPr_def_10 )
| ( e != e ) ),
inference(instantiation,[status(thm)],[c_1777]) ).
tcf(c_1790,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_1706,c_51]) ).
tcf(c_2107,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_1329]) ).
tcf(c_2223,plain,
mem(e,iPr_def_29),
inference(superposition,[status(thm)],[c_284,c_1790]) ).
tcf(c_2494,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ~ mem(X1,iPr_def_14)
| ( X2 != iPr_def_14 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_289]) ).
tcf(c_2495,plain,
( mem(e,e)
| ~ mem(e,iPr_def_14)
| ( e != iPr_def_14 )
| ( e != e ) ),
inference(instantiation,[status(thm)],[c_2494]) ).
tcf(c_2652,plain,
subq(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_1432,c_49]) ).
tcf(c_2670,plain,
! [X0: $i] :
( mem(X0,iPr_def_11)
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_265,c_57]) ).
tcf(c_3014,plain,
subq(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_2107,c_49]) ).
tcf(c_3028,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ subq(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3014,c_52]) ).
tcf(c_3030,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_3028,c_2652]) ).
tcf(c_3037,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ mem(X0,iPr_def_12) ),
inference(demodulation,[status(thm)],[c_861,c_3030]) ).
tcf(c_3095,plain,
( ( e = iPr_def_10 )
| ~ mem(e,iPr_def_12) ),
inference(instantiation,[status(thm)],[c_3037]) ).
tcf(c_4733,plain,
! [X0: $i] :
( mem(e,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(superposition,[status(thm)],[c_1657,c_1157]) ).
tcf(c_4777,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| mem(X0,e)
| ~ mem(X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_265,c_58]) ).
tcf(c_4822,plain,
! [X0: $i] :
( mem(X0,iPr_def_10)
| ~ mem(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4777,c_53]) ).
tcf(c_5491,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| mem(sK0(iPr_def_10,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_50,c_2670]) ).
tcf(c_6057,plain,
( ( e = iPr_def_10 )
| ( sK0(iPr_def_10,iPr_def_12) = e ) ),
inference(superposition,[status(thm)],[c_4733,c_3037]) ).
tcf(c_6979,plain,
( mem(e,iPr_def_28)
| mem(e,iPr_def_26) ),
inference(superposition,[status(thm)],[c_2223,c_1295]) ).
tcf(c_7199,plain,
( mem(e,iPr_def_27)
| mem(e,iPr_def_26)
| mem(e,iPr_def_21) ),
inference(superposition,[status(thm)],[c_6979,c_1294]) ).
tcf(c_7269,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_21)
| mem(e,iPr_def_19)
| mem(e,iPr_def_18) ),
inference(superposition,[status(thm)],[c_7199,c_1293]) ).
tcf(c_7297,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_21)
| mem(e,iPr_def_19)
| mem(e,iPr_def_18)
| mem(e,iPr_def_15) ),
inference(superposition,[status(thm)],[c_7269,c_1292]) ).
tcf(c_8991,plain,
! [X0: $i] :
( subq(iPr_def_11,X0)
| mem(sK0(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_50,c_4822]) ).
tcf(c_11010,plain,
subq(iPr_def_10,iPr_def_11),
inference(superposition,[status(thm)],[c_5491,c_49]) ).
tcf(c_12888,plain,
subq(iPr_def_11,iPr_def_10),
inference(superposition,[status(thm)],[c_8991,c_49]) ).
tcf(c_12899,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ subq(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_12888,c_52]) ).
tcf(c_12901,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_12899,c_11010]) ).
tcf(c_35374,plain,
~ mem(iPr_def_17,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_108057,plain,
! [X0: $i,X1: $i,X2: $i] :
( mem(X0,X2)
| ~ mem(X1,iPr_def_17)
| ( X2 != iPr_def_17 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_289]) ).
tcf(c_108058,plain,
( mem(e,e)
| ~ mem(e,iPr_def_17)
| ( e != iPr_def_17 )
| ( e != e ) ),
inference(instantiation,[status(thm)],[c_108057]) ).
tcf(c_133881,plain,
~ mem(iPr_def_10,e),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_164528,plain,
mem(e,iPr_def_10),
inference(superposition,[status(thm)],[c_264,c_54]) ).
tcf(c_164537,plain,
u(iPr_def_10,iPr_def_12) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_271,c_12901]) ).
tcf(c_164540,plain,
! [X0: $i] : subq(e,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_164545,plain,
! [X0: $i] :
( mem(X0,iPr_def_14)
| ~ subq(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_268,c_62]) ).
tcf(c_164604,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_164607,plain,
! [X0: $i] :
( ( X0 = iPr_def_12 )
| ~ mem(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_267,c_55]) ).
tcf(c_164610,plain,
! [X0: $i] :
( ( X0 = iPr_def_18 )
| ~ mem(X0,iPr_def_19) ),
inference(superposition,[status(thm)],[c_273,c_55]) ).
tcf(c_164611,plain,
! [X0: $i] :
( ( X0 = iPr_def_20 )
| ~ mem(X0,iPr_def_21) ),
inference(superposition,[status(thm)],[c_275,c_55]) ).
tcf(c_164635,plain,
! [X0: $i] :
( mem(X0,iPr_def_20)
| ~ mem(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_274,c_56]) ).
tcf(c_164636,plain,
! [X0: $i] :
( mem(X0,iPr_def_22)
| ~ mem(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_276,c_56]) ).
tcf(c_164644,plain,
! [X0: $i] :
( mem(X0,iPr_def_17)
| ~ mem(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_164537,c_56]) ).
tcf(c_164678,plain,
! [X0: $i] :
( mem(X0,iPr_def_23)
| ~ mem(X0,iPr_def_22) ),
inference(superposition,[status(thm)],[c_277,c_57]) ).
tcf(c_164679,plain,
! [X0: $i] :
( mem(X0,iPr_def_24)
| ~ mem(X0,iPr_def_23) ),
inference(superposition,[status(thm)],[c_278,c_57]) ).
tcf(c_164986,plain,
mem(e,iPr_def_17),
inference(superposition,[status(thm)],[c_164528,c_164644]) ).
tcf(c_164990,plain,
mem(e,iPr_def_20),
inference(superposition,[status(thm)],[c_164986,c_164635]) ).
tcf(c_165015,plain,
! [X0: $i] :
( mem(X0,iPr_def_13)
| mem(X0,iPr_def_12)
| ~ mem(X0,iPr_def_25) ),
inference(superposition,[status(thm)],[c_279,c_58]) ).
tcf(c_165016,plain,
! [X0: $i] :
( mem(X0,iPr_def_25)
| mem(X0,iPr_def_15)
| ~ mem(X0,iPr_def_26) ),
inference(superposition,[status(thm)],[c_280,c_58]) ).
tcf(c_165017,plain,
! [X0: $i] :
( mem(X0,iPr_def_19)
| mem(X0,iPr_def_18)
| ~ mem(X0,iPr_def_27) ),
inference(superposition,[status(thm)],[c_281,c_58]) ).
tcf(c_165018,plain,
! [X0: $i] :
( mem(X0,iPr_def_27)
| mem(X0,iPr_def_21)
| ~ mem(X0,iPr_def_28) ),
inference(superposition,[status(thm)],[c_282,c_58]) ).
tcf(c_165019,plain,
! [X0: $i] :
( mem(X0,iPr_def_28)
| mem(X0,iPr_def_26)
| ~ mem(X0,iPr_def_29) ),
inference(superposition,[status(thm)],[c_283,c_58]) ).
tcf(c_165106,plain,
mem(e,iPr_def_22),
inference(superposition,[status(thm)],[c_164990,c_164636]) ).
tcf(c_165166,plain,
mem(e,iPr_def_23),
inference(superposition,[status(thm)],[c_165106,c_164678]) ).
tcf(c_165192,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(s(e),X0) = e ) ),
inference(superposition,[status(thm)],[c_264,c_164604]) ).
tcf(c_165219,plain,
! [X0: $i] :
( subq(iPr_def_10,X0)
| ( sK0(iPr_def_10,X0) = e ) ),
inference(light_normalisation,[status(thm)],[c_165192,c_264]) ).
tcf(c_165241,plain,
mem(e,iPr_def_24),
inference(superposition,[status(thm)],[c_165166,c_164679]) ).
tcf(c_165248,plain,
s(iPr_def_10) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_266,c_12901]) ).
tcf(c_165249,plain,
mem(iPr_def_10,iPr_def_12),
inference(superposition,[status(thm)],[c_165248,c_54]) ).
tcf(c_165280,plain,
! [X0: $i] :
( mem(e,X0)
| ~ subq(iPr_def_24,X0) ),
inference(superposition,[status(thm)],[c_165241,c_51]) ).
tcf(c_165320,plain,
! [X0: $i] : subq(e,X0),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_165552,plain,
! [X0: $i,X1: $i] :
( subq(s(X0),X1)
| ( sK0(s(X0),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_50,c_55]) ).
tcf(c_165709,plain,
mem(e,iPr_def_29),
inference(superposition,[status(thm)],[c_284,c_165280]) ).
tcf(c_167231,plain,
! [X0: $i] :
( mem(iPr_def_10,X0)
| ~ subq(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_165249,c_51]) ).
tcf(c_167702,plain,
( mem(iPr_def_10,iPr_def_14)
| ( sK0(iPr_def_10,iPr_def_12) = e ) ),
inference(superposition,[status(thm)],[c_165219,c_164545]) ).
tcf(c_167847,plain,
! [X0: $i] :
( ( X0 = e )
| ~ subq(X0,e) ),
inference(superposition,[status(thm)],[c_165320,c_52]) ).
tcf(c_169074,plain,
sK0(iPr_def_10,iPr_def_12) = e,
inference(global_subsumption_just,[status(thm)],[c_167702,c_65,c_66,c_71,c_781,c_1778,c_6057]) ).
tcf(c_169076,plain,
( subq(iPr_def_10,iPr_def_12)
| ~ mem(e,iPr_def_12) ),
inference(superposition,[status(thm)],[c_169074,c_49]) ).
tcf(c_169085,plain,
~ mem(e,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_169076,c_65,c_66,c_71,c_781,c_1778,c_3095]) ).
tcf(c_169670,plain,
( mem(e,iPr_def_28)
| mem(e,iPr_def_26) ),
inference(superposition,[status(thm)],[c_165709,c_165019]) ).
tcf(c_169819,plain,
( mem(e,iPr_def_27)
| mem(e,iPr_def_26)
| mem(e,iPr_def_21) ),
inference(superposition,[status(thm)],[c_169670,c_165018]) ).
tcf(c_169901,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_21)
| mem(e,iPr_def_19)
| mem(e,iPr_def_18) ),
inference(superposition,[status(thm)],[c_169819,c_165017]) ).
tcf(c_169971,plain,
( mem(e,iPr_def_26)
| mem(e,iPr_def_21)
| mem(e,iPr_def_19) ),
inference(global_subsumption_just,[status(thm)],[c_169901,c_65,c_66,c_71,c_781,c_885,c_940,c_997,c_1337,c_7199,c_108058]) ).
tcf(c_169980,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_21)
| mem(e,iPr_def_19)
| mem(e,iPr_def_15) ),
inference(superposition,[status(thm)],[c_169971,c_165016]) ).
tcf(c_170001,plain,
( mem(e,iPr_def_25)
| mem(e,iPr_def_21)
| mem(e,iPr_def_19) ),
inference(global_subsumption_just,[status(thm)],[c_169980,c_65,c_66,c_71,c_781,c_804,c_885,c_886,c_940,c_997,c_2495,c_7297,c_108058]) ).
tcf(c_170010,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_19)
| mem(e,iPr_def_13)
| mem(e,iPr_def_12) ),
inference(superposition,[status(thm)],[c_170001,c_165015]) ).
tcf(c_170012,plain,
( mem(e,iPr_def_21)
| mem(e,iPr_def_19)
| mem(e,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170010,c_169085]) ).
tcf(c_170048,plain,
( mem(e,iPr_def_19)
| mem(e,iPr_def_13)
| ( e = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_170012,c_164611]) ).
tcf(c_170313,plain,
( mem(e,iPr_def_13)
| ( e = iPr_def_20 )
| ( e = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_170048,c_164610]) ).
tcf(c_170435,plain,
( ( e = iPr_def_20 )
| ( e = iPr_def_18 )
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_170313,c_164607]) ).
tcf(c_171039,plain,
! [X0: $i] :
( ( s(X0) = e )
| ( sK0(s(X0),e) = X0 ) ),
inference(superposition,[status(thm)],[c_165552,c_167847]) ).
tcf(c_171165,plain,
( mem(iPr_def_20,iPr_def_20)
| ( e = iPr_def_18 )
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_170435,c_164990]) ).
tcf(c_171173,plain,
! [X0: $i] :
( ( e = iPr_def_18 )
| ( e = iPr_def_12 )
| ~ mem(X0,iPr_def_20) ),
inference(superposition,[status(thm)],[c_170435,c_53]) ).
tcf(c_171196,plain,
( ( e = iPr_def_18 )
| ( e = iPr_def_12 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_171165,c_171173]) ).
tcf(c_172117,plain,
( ( s(iPr_def_10) = e )
| ( sK0(iPr_def_12,e) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_165248,c_171039]) ).
tcf(c_172120,plain,
( ( e = iPr_def_12 )
| ( sK0(iPr_def_12,e) = iPr_def_10 ) ),
inference(light_normalisation,[status(thm)],[c_172117,c_165248]) ).
tcf(c_172192,plain,
! [X0: $i] :
( subq(iPr_def_18,X0)
| ( e = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_171196,c_164540]) ).
tcf(c_172259,plain,
( subq(iPr_def_18,e)
| ( e = iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_172192]) ).
tcf(c_172346,plain,
e = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_172120,c_1218,c_35374,c_172259]) ).
tcf(c_172360,plain,
! [X0: $i] : subq(iPr_def_12,X0),
inference(demodulation,[status(thm)],[c_165320,c_172346]) ).
tcf(c_172377,plain,
! [X0: $i] : mem(iPr_def_10,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_167231,c_172360]) ).
tcf(c_172393,plain,
mem(iPr_def_10,e),
inference(instantiation,[status(thm)],[c_172377]) ).
tcf(c_172394,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_172393,c_133881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV568+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n017.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 14:57:38 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 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
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 68.62/16.89 % SZS status Started for theBenchmark.p
% 68.62/16.89 % SZS status Theorem for theBenchmark.p
% 68.62/16.89
% 68.62/16.89 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 68.62/16.89
% 68.62/16.89 % ------ iProver source info
% 68.62/16.89
% 68.62/16.89 % git: date: 2026-07-19 20:42:38 +0200
% 68.62/16.89 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 68.62/16.89 % git: non_committed_changes: false
% 68.62/16.89
% 68.62/16.89 % ------ Parsing...
% 68.62/16.89 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 68.62/16.89
% 68.62/16.89 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 68.62/16.89
% 68.62/16.89 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 68.62/16.89
% 68.62/16.89 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 68.62/16.89 % ------ Proving...
% 68.62/16.89 % ------ Problem Properties
% 68.62/16.89
% 68.62/16.89 %
% 68.62/16.89 % clauses 36
% 68.62/16.89 % conjectures 1
% 68.62/16.89 % EPR 4
% 68.62/16.89 % Horn 33
% 68.62/16.89 % unary 23
% 68.62/16.89 % binary 9
% 68.62/16.89 % lits 53
% 68.62/16.89 % lits eq 22
% 68.62/16.89 % fd_pure 0
% 68.62/16.89 % fd_pseudo 0
% 68.62/16.89 % fd_cond 0
% 68.62/16.89 % fd_pseudo_cond 2
% 68.62/16.89 % AC symbols 0
% 68.62/16.89
% 68.62/16.89 % ------ Schedule dynamic 5 is on
% 68.62/16.89
% 68.62/16.89 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 68.62/16.89
% 68.62/16.89
% 68.62/16.89 % ------
% 68.62/16.89 % Current options:
% 68.62/16.89 % ------
% 68.62/16.89
% 68.62/16.89
% 68.62/16.89 %
% 68.62/16.89
% 68.62/16.89 % ------ Proving...
% 68.62/16.89 % Proof_search_loop: time out after: 8293 full_loop iterations
% 68.62/16.89
% 68.62/16.89 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 68.62/16.89
% 68.62/16.89
% 68.62/16.89 % ------
% 68.62/16.89 % Current options:
% 68.62/16.89 % ------
% 68.62/16.89
% 68.62/16.89
% 68.62/16.89 %
% 68.62/16.89
% 68.62/16.89 % ------ Proving...
% 68.62/16.89 %
% 68.62/16.89
% 68.62/16.89 % SZS status Theorem for theBenchmark.p
% 68.62/16.89
% 68.62/16.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 68.62/16.89
% 68.62/16.89
%------------------------------------------------------------------------------