%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 02:08:11 PM UTC 2026
% Result : Theorem 1.43s 1.28s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f18ERROR: Could not build tree for root c_1335ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f22,plain,
! [X4] :
( ~ sP5(X4)
| ? [X32] :
( ( ~ p1(X32)
| ~ p2(X32) )
& ( p2(X32)
| p1(X32) )
& ( ~ p2(X32)
| ~ p3(X32) )
& ( p3(X32)
| p2(X32) )
& ( ~ p3(X32)
| ~ p4(X32) )
& ( p4(X32)
| p3(X32) )
& ( ~ p4(X32)
| ~ p5(X32) )
& ( p5(X32)
| p4(X32) )
& ( ~ p5(X32)
| ~ p6(X32) )
& ( p6(X32)
| p5(X32) )
& ( ~ p6(X32)
| ~ p7(X32) )
& ( p7(X32)
| p6(X32) )
& ( ~ p7(X32)
| ~ p8(X32) )
& ( p8(X32)
| p7(X32) )
& ( ~ p8(X32)
| ~ p9(X32) )
& ( p9(X32)
| p8(X32) )
& ( ~ p9(X32)
| ~ p10(X32) )
& ( p10(X32)
| p9(X32) )
& ( ~ p10(X32)
| ~ p11(X32) )
& ( p11(X32)
| p10(X32) )
& ( ~ p11(X32)
| ~ p12(X32) )
& ( p12(X32)
| p11(X32) )
& ( ~ p12(X32)
| ~ p13(X32) )
& ( p13(X32)
| p12(X32) )
& ( ~ p13(X32)
| ~ p14(X32) )
& ( p14(X32)
| p13(X32) )
& r1(X4,X32) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0] :
( ~ sP5(X0)
| ? [X1] :
( ( ~ p1(X1)
| ~ p2(X1) )
& ( p2(X1)
| p1(X1) )
& ( ~ p2(X1)
| ~ p3(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p5(X1)
| p4(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( p8(X1)
| p7(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( p9(X1)
| p8(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p10(X1)
| ~ p11(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p12(X1)
| p11(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p13(X1)
| p12(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p14(X1)
| p13(X1) )
& r1(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0] :
( ~ sP5(X0)
| ( ( ~ p1(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p2(sK9(X0))
| p1(sK9(X0)) )
& ( ~ p2(sK9(X0))
| ~ p3(sK9(X0)) )
& ( p3(sK9(X0))
| p2(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p4(sK9(X0)) )
& ( p4(sK9(X0))
| p3(sK9(X0)) )
& ( ~ p4(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p5(sK9(X0))
| p4(sK9(X0)) )
& ( ~ p5(sK9(X0))
| ~ p6(sK9(X0)) )
& ( p6(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p6(sK9(X0))
| ~ p7(sK9(X0)) )
& ( p7(sK9(X0))
| p6(sK9(X0)) )
& ( ~ p7(sK9(X0))
| ~ p8(sK9(X0)) )
& ( p8(sK9(X0))
| p7(sK9(X0)) )
& ( ~ p8(sK9(X0))
| ~ p9(sK9(X0)) )
& ( p9(sK9(X0))
| p8(sK9(X0)) )
& ( ~ p9(sK9(X0))
| ~ p10(sK9(X0)) )
& ( p10(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p10(sK9(X0))
| ~ p11(sK9(X0)) )
& ( p11(sK9(X0))
| p10(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p12(sK9(X0)) )
& ( p12(sK9(X0))
| p11(sK9(X0)) )
& ( ~ p12(sK9(X0))
| ~ p13(sK9(X0)) )
& ( p13(sK9(X0))
| p12(sK9(X0)) )
& ( ~ p13(sK9(X0))
| ~ p14(sK9(X0)) )
& ( p14(sK9(X0))
| p13(sK9(X0)) )
& r1(X0,sK9(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f23]) ).
fof(f40,plain,
? [X0] :
( ? [X3] :
( ! [X4] :
( ( sP5(X4)
& ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X4,X5) )
& sP6(X4) )
| ~ r1(X3,X4) )
& r1(X0,X3) )
& ? [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
& p15(X1)
& r1(X0,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f41,plain,
( ! [X4] :
( ( sP5(X4)
& ~ p15(sK25(X4))
& r1(X4,sK25(X4))
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X4,X5) )
& sP6(X4) )
| ~ r1(sK24,X4) )
& r1(sK21,sK24)
& p1(sK23)
& r1(sK22,sK23)
& p15(sK22)
& r1(sK21,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK21),skolemize(X1,sK22),skolemize(X2,sK23),skolemize(X3,sK24),skolemize(X6,sK25(X4))],[f40]) ).
fof(f42,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f51,plain,
! [X0] :
( ~ sP5(X0)
| ~ p1(sK9(X0))
| ~ p2(sK9(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f52,plain,
! [X0] :
( ~ sP5(X0)
| p2(sK9(X0))
| p1(sK9(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f77,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f113,plain,
! [X4] :
( sP5(X4)
| ~ r1(sK24,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f116,plain,
! [X4,X5] :
( ~ p1(X5)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK24,X4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f117,plain,
! [X4,X5] :
( p1(X5)
| ~ p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK24,X4) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f42]) ).
tcf(c_58,plain,
! [X0: $i] :
( r1(X0,sK9(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_83,plain,
! [X0: $i] :
( p1(sK9(X0))
| p2(sK9(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_84,plain,
! [X0: $i] :
( ~ sP5(X0)
| ~ p1(sK9(X0))
| ~ p2(sK9(X0)) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p2(X1)
| ~ r1(sK24,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ p1(X1)
| ~ r1(sK24,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_130,negated_conjecture,
! [X0: $i] :
( sP5(X0)
| ~ r1(sK24,X0) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_131,plain,
r1(sK24,sK24),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_132,plain,
( sP5(sK24)
| ~ r1(sK24,sK24) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_144,plain,
( r1(sK24,sK9(sK24))
| ~ sP5(sK24) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i] :
( ~ sP5(X1)
| ~ p1(sK9(X1))
| ~ r1(sK24,X0)
| ~ r1(X0,sK9(X1)) ),
inference(resolution,[status(thm)],[c_127,c_84]) ).
tcf(c_1320,plain,
( ~ sP5(sK24)
| ~ p1(sK9(sK24))
| ~ r1(sK24,sK24)
| ~ r1(sK24,sK9(sK24)) ),
inference(instantiation,[status(thm)],[c_1319]) ).
tcf(c_1333,plain,
! [X0: $i,X1: $i] :
( p1(sK9(X1))
| ~ sP5(X1)
| ~ r1(sK24,X0)
| ~ r1(X0,sK9(X1)) ),
inference(resolution,[status(thm)],[c_126,c_83]) ).
tcf(c_1334,plain,
( p1(sK9(sK24))
| ~ sP5(sK24)
| ~ r1(sK24,sK24)
| ~ r1(sK24,sK9(sK24)) ),
inference(instantiation,[status(thm)],[c_1333]) ).
tcf(c_1335,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1334,c_1320,c_144,c_132,c_131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 00:19:58 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.43/1.28 % SZS status Started for theBenchmark.p
% 1.43/1.28 % SZS status Theorem for theBenchmark.p
% 1.43/1.28
% 1.43/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.43/1.28
% 1.43/1.28 % ------ iProver source info
% 1.43/1.28
% 1.43/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.43/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.43/1.28 % git: non_committed_changes: false
% 1.43/1.28
% 1.43/1.28 % ------ Parsing...
% 1.43/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.43/1.28
% 1.43/1.28 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s%
% 1.43/1.28
% 1.43/1.28 % SZS status Theorem for theBenchmark.p
% 1.43/1.28
% 1.43/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.43/1.28
% 1.43/1.28
%------------------------------------------------------------------------------