%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC190+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 03:08:36 PM UTC 2026
% Result : Theorem 24.06s 9.16s
% Output : CNFRefutation 24.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f542ERROR: Could not build tree for root c_19094ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X8] :
( ssItem(X8)
=> ? [X9] :
( memberP(X2,X9)
& X8 != X9
& ssItem(X9) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( X4 = X5
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X8] :
( ssItem(X8)
=> ? [X9] :
( memberP(X2,X9)
& X8 != X9
& ssItem(X9) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( X4 = X5
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X8] :
( ssItem(X8)
& ! [X9] :
( ~ memberP(X2,X9)
| X8 = X9
| ~ ssItem(X9) ) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( X4 != X5
& app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) ) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f233,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f99]) ).
fof(f234,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(rectify,[],[f233]) ).
fof(f235,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
& ssList(sK9(X0,X1))
& ssList(sK8(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f234]) ).
fof(f276,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f146]) ).
fof(f277,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( ~ memberP(app(X1,X2),X0)
| memberP(X2,X0)
| memberP(X1,X0) )
& ( ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) )
| memberP(app(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f276]) ).
fof(f295,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ssItem(sK61)
& ! [X9] :
( ~ memberP(sK55,X9)
| sK61 = X9
| ~ ssItem(X9) )
& ssItem(sK57)
& ssItem(sK58)
& ssList(sK59)
& sK57 != sK58
& sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60)
& ssList(sK60)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60),skolemize(X8,sK61)],[f221]) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f499,plain,
! [X9] :
( ~ memberP(sK55,X9)
| sK61 = X9
| ~ ssItem(X9) ),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f295]) ).
fof(f501,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
ssList(sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
sK57 != sK58,
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
ssList(sK60),
inference(cnf_transformation,[],[f295]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f509,plain,
sK55 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(definition_unfolding,[],[f504,f506]) ).
fof(f513,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(app(X2,cons(X1,X3)),X1) ),
inference(equality_resolution,[],[f304]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f513]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f388]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f414]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f413]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X0,X1),X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f542]) ).
tcf(c_247,negated_conjecture,
ssList(sK60),
inference(cnf_transformation,[],[f505]) ).
tcf(c_248,negated_conjecture,
app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60) = sK55,
inference(cnf_transformation,[],[f509]) ).
tcf(c_249,negated_conjecture,
sK57 != sK58,
inference(cnf_transformation,[],[f503]) ).
tcf(c_250,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f502]) ).
tcf(c_251,negated_conjecture,
ssItem(sK58),
inference(cnf_transformation,[],[f501]) ).
tcf(c_252,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f500]) ).
tcf(c_253,negated_conjecture,
! [X0: $i] :
( ( X0 = sK61 )
| ~ ssItem(X0)
| ~ memberP(sK55,X0) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_7595,negated_conjecture,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( ( X0_iProver_ssItem_1 = sK61 )
| ~ ssItem(X0_iProver_ssItem_1)
| ~ memberP(sK55,X0_iProver_ssItem_1) ),
inference(subtyping,[status(esa)],[c_253]) ).
tcf(c_7596,negated_conjecture,
ssItem(sK57),
inference(subtyping,[status(esa)],[c_252]) ).
tcf(c_7597,negated_conjecture,
ssItem(sK58),
inference(subtyping,[status(esa)],[c_251]) ).
tcf(c_7598,negated_conjecture,
ssList(sK59),
inference(subtyping,[status(esa)],[c_250]) ).
tcf(c_7599,negated_conjecture,
sK57 != sK58,
inference(subtyping,[status(esa)],[c_249]) ).
tcf(c_7600,negated_conjecture,
app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60) = sK55,
inference(subtyping,[status(esa)],[c_248]) ).
tcf(c_7601,negated_conjecture,
ssList(sK60),
inference(subtyping,[status(esa)],[c_247]) ).
tcf(c_7666,plain,
! [X0_iProver_sP4_1: iProver_sP4_1,X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(cons(X0_iProver_ssItem_1,X0_iProver_sP4_1),X0_iProver_ssItem_1)
| ~ ssList(X0_iProver_sP4_1)
| ~ ssItem(X0_iProver_ssItem_1) ),
inference(subtyping,[status(esa)],[c_168]) ).
tcf(c_7668,plain,
! [X0_iProver_sP4_1: iProver_sP4_1,X0_iProver_ssItem_1: iProver_ssItem_1,X1_iProver_sP4_1: iProver_sP4_1] :
( memberP(app(X1_iProver_sP4_1,X0_iProver_sP4_1),X0_iProver_ssItem_1)
| ~ ssList(X1_iProver_sP4_1)
| ~ ssList(X0_iProver_sP4_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ memberP(X0_iProver_sP4_1,X0_iProver_ssItem_1) ),
inference(subtyping,[status(esa)],[c_166]) ).
tcf(c_7669,plain,
! [X0_iProver_sP4_1: iProver_sP4_1,X0_iProver_ssItem_1: iProver_ssItem_1,X1_iProver_sP4_1: iProver_sP4_1] :
( memberP(app(X0_iProver_sP4_1,X1_iProver_sP4_1),X0_iProver_ssItem_1)
| ~ ssList(X1_iProver_sP4_1)
| ~ ssList(X0_iProver_sP4_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ memberP(X0_iProver_sP4_1,X0_iProver_ssItem_1) ),
inference(subtyping,[status(esa)],[c_165]) ).
tcf(c_7681,plain,
! [X0_iProver_sP4_1: iProver_sP4_1,X1_iProver_sP4_1: iProver_sP4_1] :
( ssList(app(X0_iProver_sP4_1,X1_iProver_sP4_1))
| ~ ssList(X1_iProver_sP4_1)
| ~ ssList(X0_iProver_sP4_1) ),
inference(subtyping,[status(esa)],[c_153]) ).
tcf(c_7693,plain,
ssList(nil),
inference(subtyping,[status(esa)],[c_141]) ).
tcf(c_7694,plain,
! [X0_iProver_sP4_1: iProver_sP4_1,X0_iProver_ssItem_1: iProver_ssItem_1] :
( ssList(cons(X0_iProver_ssItem_1,X0_iProver_sP4_1))
| ~ ssList(X0_iProver_sP4_1)
| ~ ssItem(X0_iProver_ssItem_1) ),
inference(subtyping,[status(esa)],[c_140]) ).
tcf(c_7767,plain,
! [X0_iProver_sP4_1: iProver_sP4_1,X0_iProver_ssItem_1: iProver_ssItem_1,X1_iProver_sP4_1: iProver_sP4_1] :
( memberP(app(X0_iProver_sP4_1,cons(X0_iProver_ssItem_1,X1_iProver_sP4_1)),X0_iProver_ssItem_1)
| ~ ssList(X1_iProver_sP4_1)
| ~ ssList(X0_iProver_sP4_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(app(X0_iProver_sP4_1,cons(X0_iProver_ssItem_1,X1_iProver_sP4_1))) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_10807,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssList(sK60)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)))
| ~ memberP(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),X0_iProver_ssItem_1) ),
inference(superposition,[status(thm)],[c_7600,c_7669]) ).
tcf(c_10809,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)))
| ~ memberP(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),X0_iProver_ssItem_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10807,c_7601]) ).
tcf(c_11264,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(cons(sK58,nil))
| ~ memberP(cons(sK58,nil),X0_iProver_ssItem_1)
| ~ ssList(app(sK59,cons(sK57,nil)))
| ~ ssList(app(app(sK59,cons(sK57,nil)),cons(sK58,nil))) ),
inference(superposition,[status(thm)],[c_7668,c_10809]) ).
tcf(c_11265,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(cons(sK58,nil))
| ~ ssList(app(sK59,cons(sK57,nil)))
| ~ memberP(app(sK59,cons(sK57,nil)),X0_iProver_ssItem_1)
| ~ ssList(app(app(sK59,cons(sK57,nil)),cons(sK58,nil))) ),
inference(superposition,[status(thm)],[c_7669,c_10809]) ).
tcf(c_11633,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(cons(sK58,nil))
| ~ memberP(cons(sK58,nil),X0_iProver_ssItem_1)
| ~ ssList(app(sK59,cons(sK57,nil))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11264,c_7681]) ).
tcf(c_11644,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssList(sK59)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(cons(sK58,nil))
| ~ ssList(cons(sK57,nil))
| ~ memberP(cons(sK58,nil),X0_iProver_ssItem_1) ),
inference(superposition,[status(thm)],[c_7681,c_11633]) ).
tcf(c_11645,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(cons(sK58,nil))
| ~ ssList(cons(sK57,nil))
| ~ memberP(cons(sK58,nil),X0_iProver_ssItem_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11644,c_7598]) ).
tcf(c_12349,plain,
! [X0_iProver_ssItem_1: iProver_ssItem_1] :
( memberP(sK55,X0_iProver_ssItem_1)
| ~ ssItem(X0_iProver_ssItem_1)
| ~ ssList(cons(sK58,nil))
| ~ ssList(app(sK59,cons(sK57,nil)))
| ~ memberP(app(sK59,cons(sK57,nil)),X0_iProver_ssItem_1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11265,c_7681]) ).
tcf(c_12362,plain,
( memberP(sK55,sK57)
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK58,nil))
| ~ ssList(app(sK59,cons(sK57,nil))) ),
inference(superposition,[status(thm)],[c_7767,c_12349]) ).
tcf(c_12364,plain,
( memberP(sK55,sK57)
| ~ ssList(cons(sK58,nil))
| ~ ssList(app(sK59,cons(sK57,nil))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12362,c_7598,c_7693,c_7596]) ).
tcf(c_13802,plain,
( memberP(sK55,sK58)
| ~ ssList(nil)
| ~ ssItem(sK58)
| ~ ssList(cons(sK58,nil))
| ~ ssList(cons(sK57,nil)) ),
inference(superposition,[status(thm)],[c_7666,c_11645]) ).
tcf(c_13803,plain,
( memberP(sK55,sK58)
| ~ ssList(cons(sK58,nil))
| ~ ssList(cons(sK57,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13802,c_7693,c_7597]) ).
tcf(c_13814,plain,
( memberP(sK55,sK57)
| ~ ssList(sK59)
| ~ ssList(cons(sK58,nil))
| ~ ssList(cons(sK57,nil)) ),
inference(superposition,[status(thm)],[c_7681,c_12364]) ).
tcf(c_13815,plain,
( memberP(sK55,sK57)
| ~ ssList(cons(sK58,nil))
| ~ ssList(cons(sK57,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13814,c_7598]) ).
tcf(c_16413,plain,
( memberP(sK55,sK58)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK58,nil)) ),
inference(superposition,[status(thm)],[c_7694,c_13803]) ).
tcf(c_16414,plain,
( memberP(sK55,sK58)
| ~ ssList(cons(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16413,c_7693,c_7596]) ).
tcf(c_17116,plain,
( memberP(sK55,sK57)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(cons(sK58,nil)) ),
inference(superposition,[status(thm)],[c_7694,c_13815]) ).
tcf(c_17117,plain,
( memberP(sK55,sK57)
| ~ ssList(cons(sK58,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17116,c_7693,c_7596]) ).
tcf(c_18292,plain,
( memberP(sK55,sK58)
| ~ ssList(nil)
| ~ ssItem(sK58) ),
inference(superposition,[status(thm)],[c_7694,c_16414]) ).
tcf(c_18293,plain,
memberP(sK55,sK58),
inference(forward_subsumption_resolution,[status(thm)],[c_18292,c_7693,c_7597]) ).
tcf(c_18304,plain,
( memberP(sK55,sK57)
| ~ ssList(nil)
| ~ ssItem(sK58) ),
inference(superposition,[status(thm)],[c_7694,c_17117]) ).
tcf(c_18305,plain,
memberP(sK55,sK57),
inference(forward_subsumption_resolution,[status(thm)],[c_18304,c_7693,c_7597]) ).
tcf(c_18314,plain,
( ( sK58 = sK61 )
| ~ ssItem(sK58) ),
inference(superposition,[status(thm)],[c_18293,c_7595]) ).
tcf(c_18341,plain,
sK58 = sK61,
inference(forward_subsumption_resolution,[status(thm)],[c_18314,c_7597]) ).
tcf(c_18554,plain,
( ( sK57 = sK61 )
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_18305,c_7595]) ).
tcf(c_18581,plain,
sK57 = sK61,
inference(forward_subsumption_resolution,[status(thm)],[c_18554,c_7596]) ).
tcf(c_19091,plain,
sK57 != sK61,
inference(superposition,[status(thm)],[c_18341,c_7599]) ).
tcf(c_19093,plain,
sK61 != sK61,
inference(demodulation,[status(thm)],[c_19091,c_18581]) ).
tcf(c_19094,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_19093]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC190+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n016.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 16:58:35 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 24.06/9.16 % SZS status Started for theBenchmark.p
% 24.06/9.16 % SZS status Theorem for theBenchmark.p
% 24.06/9.16
% 24.06/9.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 24.06/9.16
% 24.06/9.16 % ------ iProver source info
% 24.06/9.16
% 24.06/9.16 % git: date: 2026-07-19 20:42:38 +0200
% 24.06/9.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 24.06/9.16 % git: non_committed_changes: false
% 24.06/9.16
% 24.06/9.16 % ------ Parsing...
% 24.06/9.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 24.06/9.16
% 24.06/9.16 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 24.06/9.16
% 24.06/9.16 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 24.06/9.16
% 24.06/9.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.06/9.16 % ------ Proving...
% 24.06/9.16 % ------ Problem Properties
% 24.06/9.16
% 24.06/9.16 %
% 24.06/9.16 % clauses 190
% 24.06/9.16 % conjectures 10
% 24.06/9.16 % EPR 58
% 24.06/9.16 % Horn 122
% 24.06/9.16 % unary 25
% 24.06/9.16 % binary 40
% 24.06/9.16 % lits 630
% 24.06/9.16 % lits eq 81
% 24.06/9.16 % fd_pure 0
% 24.06/9.16 % fd_pseudo 0
% 24.06/9.16 % fd_cond 22
% 24.06/9.16 % fd_pseudo_cond 14
% 24.06/9.16 % AC symbols 0
% 24.06/9.16
% 24.06/9.16 % ------ Input Options Time Limit: Unbounded
% 24.06/9.16
% 24.06/9.16
% 24.06/9.16 % ------
% 24.06/9.16 % Current options:
% 24.06/9.16 % ------
% 24.06/9.16
% 24.06/9.16
% 24.06/9.16 %
% 24.06/9.16
% 24.06/9.16 % ------ Proving...
% 24.06/9.16 %
% 24.06/9.16
% 24.06/9.16 % SZS status Theorem for theBenchmark.p
% 24.06/9.16
% 24.06/9.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.06/9.16
% 24.06/9.16
%------------------------------------------------------------------------------