%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 2.29s 1.30s
% Output : CNFRefutation 2.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f26ERROR: Could not build tree for root c_2884ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f30,plain,
! [X4] :
( ~ sP13(X4)
| ? [X62] :
( ( ~ p1(X62)
| ~ p2(X62) )
& ( p2(X62)
| p1(X62) )
& ( ~ p2(X62)
| ~ p3(X62) )
& ( p3(X62)
| p2(X62) )
& ( ~ p3(X62)
| ~ p4(X62) )
& ( p4(X62)
| p3(X62) )
& ( ~ p4(X62)
| ~ p5(X62) )
& ( p5(X62)
| p4(X62) )
& ( ~ p5(X62)
| ~ p6(X62) )
& ( p6(X62)
| p5(X62) )
& ( ~ p6(X62)
| ~ p7(X62) )
& ( p7(X62)
| p6(X62) )
& ( ~ p7(X62)
| ~ p8(X62) )
& ( p8(X62)
| p7(X62) )
& ( ~ p8(X62)
| ~ p9(X62) )
& ( p9(X62)
| p8(X62) )
& ( ~ p9(X62)
| ~ p10(X62) )
& ( p10(X62)
| p9(X62) )
& ( ~ p10(X62)
| ~ p11(X62) )
& ( p11(X62)
| p10(X62) )
& ( ~ p11(X62)
| ~ p12(X62) )
& ( p12(X62)
| p11(X62) )
& ( ~ p12(X62)
| ~ p13(X62) )
& ( p13(X62)
| p12(X62) )
& ( ~ p13(X62)
| ~ p14(X62) )
& ( p14(X62)
| p13(X62) )
& ( ~ p14(X62)
| ~ p15(X62) )
& ( p15(X62)
| p14(X62) )
& ( ~ p15(X62)
| ~ p16(X62) )
& ( p16(X62)
| p15(X62) )
& ( ~ p16(X62)
| ~ p17(X62) )
& ( p17(X62)
| p16(X62) )
& ( ~ p17(X62)
| ~ p18(X62) )
& ( p18(X62)
| p17(X62) )
& ( ~ p18(X62)
| ~ p19(X62) )
& ( p19(X62)
| p18(X62) )
& ( ~ p19(X62)
| ~ p20(X62) )
& ( p20(X62)
| p19(X62) )
& ( ~ p20(X62)
| ~ p21(X62) )
& ( p21(X62)
| p20(X62) )
& ( ~ p21(X62)
| ~ p22(X62) )
& ( p22(X62)
| p21(X62) )
& ( ~ p22(X62)
| ~ p23(X62) )
& ( p23(X62)
| p22(X62) )
& ( ~ p23(X62)
| ~ p24(X62) )
& ( p24(X62)
| p23(X62) )
& ( ~ p24(X62)
| ~ p25(X62) )
& ( p25(X62)
| p24(X62) )
& ( ~ p25(X62)
| ~ p26(X62) )
& ( p26(X62)
| p25(X62) )
& ( ~ p26(X62)
| ~ p27(X62) )
& ( p27(X62)
| p26(X62) )
& ( ~ p27(X62)
| ~ p28(X62) )
& ( p28(X62)
| p27(X62) )
& ( ~ p28(X62)
| ~ p29(X62) )
& ( p29(X62)
| p28(X62) )
& r1(X4,X62) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f31,plain,
! [X0] :
( ~ sP13(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) )
& ( ~ p14(X1)
| ~ p15(X1) )
& ( p15(X1)
| p14(X1) )
& ( ~ p15(X1)
| ~ p16(X1) )
& ( p16(X1)
| p15(X1) )
& ( ~ p16(X1)
| ~ p17(X1) )
& ( p17(X1)
| p16(X1) )
& ( ~ p17(X1)
| ~ p18(X1) )
& ( p18(X1)
| p17(X1) )
& ( ~ p18(X1)
| ~ p19(X1) )
& ( p19(X1)
| p18(X1) )
& ( ~ p19(X1)
| ~ p20(X1) )
& ( p20(X1)
| p19(X1) )
& ( ~ p20(X1)
| ~ p21(X1) )
& ( p21(X1)
| p20(X1) )
& ( ~ p21(X1)
| ~ p22(X1) )
& ( p22(X1)
| p21(X1) )
& ( ~ p22(X1)
| ~ p23(X1) )
& ( p23(X1)
| p22(X1) )
& ( ~ p23(X1)
| ~ p24(X1) )
& ( p24(X1)
| p23(X1) )
& ( ~ p24(X1)
| ~ p25(X1) )
& ( p25(X1)
| p24(X1) )
& ( ~ p25(X1)
| ~ p26(X1) )
& ( p26(X1)
| p25(X1) )
& ( ~ p26(X1)
| ~ p27(X1) )
& ( p27(X1)
| p26(X1) )
& ( ~ p27(X1)
| ~ p28(X1) )
& ( p28(X1)
| p27(X1) )
& ( ~ p28(X1)
| ~ p29(X1) )
& ( p29(X1)
| p28(X1) )
& r1(X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ sP13(X0)
| ( ( ~ p1(sK16(X0))
| ~ p2(sK16(X0)) )
& ( p2(sK16(X0))
| p1(sK16(X0)) )
& ( ~ p2(sK16(X0))
| ~ p3(sK16(X0)) )
& ( p3(sK16(X0))
| p2(sK16(X0)) )
& ( ~ p3(sK16(X0))
| ~ p4(sK16(X0)) )
& ( p4(sK16(X0))
| p3(sK16(X0)) )
& ( ~ p4(sK16(X0))
| ~ p5(sK16(X0)) )
& ( p5(sK16(X0))
| p4(sK16(X0)) )
& ( ~ p5(sK16(X0))
| ~ p6(sK16(X0)) )
& ( p6(sK16(X0))
| p5(sK16(X0)) )
& ( ~ p6(sK16(X0))
| ~ p7(sK16(X0)) )
& ( p7(sK16(X0))
| p6(sK16(X0)) )
& ( ~ p7(sK16(X0))
| ~ p8(sK16(X0)) )
& ( p8(sK16(X0))
| p7(sK16(X0)) )
& ( ~ p8(sK16(X0))
| ~ p9(sK16(X0)) )
& ( p9(sK16(X0))
| p8(sK16(X0)) )
& ( ~ p9(sK16(X0))
| ~ p10(sK16(X0)) )
& ( p10(sK16(X0))
| p9(sK16(X0)) )
& ( ~ p10(sK16(X0))
| ~ p11(sK16(X0)) )
& ( p11(sK16(X0))
| p10(sK16(X0)) )
& ( ~ p11(sK16(X0))
| ~ p12(sK16(X0)) )
& ( p12(sK16(X0))
| p11(sK16(X0)) )
& ( ~ p12(sK16(X0))
| ~ p13(sK16(X0)) )
& ( p13(sK16(X0))
| p12(sK16(X0)) )
& ( ~ p13(sK16(X0))
| ~ p14(sK16(X0)) )
& ( p14(sK16(X0))
| p13(sK16(X0)) )
& ( ~ p14(sK16(X0))
| ~ p15(sK16(X0)) )
& ( p15(sK16(X0))
| p14(sK16(X0)) )
& ( ~ p15(sK16(X0))
| ~ p16(sK16(X0)) )
& ( p16(sK16(X0))
| p15(sK16(X0)) )
& ( ~ p16(sK16(X0))
| ~ p17(sK16(X0)) )
& ( p17(sK16(X0))
| p16(sK16(X0)) )
& ( ~ p17(sK16(X0))
| ~ p18(sK16(X0)) )
& ( p18(sK16(X0))
| p17(sK16(X0)) )
& ( ~ p18(sK16(X0))
| ~ p19(sK16(X0)) )
& ( p19(sK16(X0))
| p18(sK16(X0)) )
& ( ~ p19(sK16(X0))
| ~ p20(sK16(X0)) )
& ( p20(sK16(X0))
| p19(sK16(X0)) )
& ( ~ p20(sK16(X0))
| ~ p21(sK16(X0)) )
& ( p21(sK16(X0))
| p20(sK16(X0)) )
& ( ~ p21(sK16(X0))
| ~ p22(sK16(X0)) )
& ( p22(sK16(X0))
| p21(sK16(X0)) )
& ( ~ p22(sK16(X0))
| ~ p23(sK16(X0)) )
& ( p23(sK16(X0))
| p22(sK16(X0)) )
& ( ~ p23(sK16(X0))
| ~ p24(sK16(X0)) )
& ( p24(sK16(X0))
| p23(sK16(X0)) )
& ( ~ p24(sK16(X0))
| ~ p25(sK16(X0)) )
& ( p25(sK16(X0))
| p24(sK16(X0)) )
& ( ~ p25(sK16(X0))
| ~ p26(sK16(X0)) )
& ( p26(sK16(X0))
| p25(sK16(X0)) )
& ( ~ p26(sK16(X0))
| ~ p27(sK16(X0)) )
& ( p27(sK16(X0))
| p26(sK16(X0)) )
& ( ~ p27(sK16(X0))
| ~ p28(sK16(X0)) )
& ( p28(sK16(X0))
| p27(sK16(X0)) )
& ( ~ p28(sK16(X0))
| ~ p29(sK16(X0)) )
& ( p29(sK16(X0))
| p28(sK16(X0)) )
& r1(X0,sK16(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f31]) ).
fof(f72,plain,
? [X0] :
( ? [X3] :
( ! [X4] :
( ( sP13(X4)
& ? [X6] :
( ~ p30(X6)
& r1(X4,X6) )
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X4,X5) )
& sP14(X4) )
| ~ r1(X3,X4) )
& r1(X0,X3) )
& ? [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
& p30(X1)
& r1(X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f73,plain,
( ! [X4] :
( ( sP13(X4)
& ~ p30(sK48(X4))
& r1(X4,sK48(X4))
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X4,X5) )
& sP14(X4) )
| ~ r1(sK47,X4) )
& r1(sK44,sK47)
& p1(sK46)
& r1(sK45,sK46)
& p30(sK45)
& r1(sK44,sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46),skolemize(X3,sK47),skolemize(X6,sK48(X4))],[f72]) ).
fof(f74,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
! [X0] :
( ~ sP13(X0)
| ~ p1(sK16(X0))
| ~ p2(sK16(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
! [X0] :
( ~ sP13(X0)
| p2(sK16(X0))
| p1(sK16(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f136,plain,
! [X0] :
( ~ sP13(X0)
| r1(X0,sK16(X0)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f228,plain,
! [X4] :
( sP13(X4)
| ~ r1(sK47,X4) ),
inference(cnf_transformation,[],[f73]) ).
fof(f231,plain,
! [X4,X5] :
( ~ p1(X5)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK47,X4) ),
inference(cnf_transformation,[],[f73]) ).
fof(f232,plain,
! [X4,X5] :
( p1(X5)
| ~ p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK47,X4) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f74]) ).
tcf(c_55,plain,
! [X0: $i] :
( r1(X0,sK16(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_110,plain,
! [X0: $i] :
( p1(sK16(X0))
| p2(sK16(X0))
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_111,plain,
! [X0: $i] :
( ~ sP13(X0)
| ~ p1(sK16(X0))
| ~ p2(sK16(X0)) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_209,negated_conjecture,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p2(X1)
| ~ r1(sK47,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_210,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ p1(X1)
| ~ r1(sK47,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_213,negated_conjecture,
! [X0: $i] :
( sP13(X0)
| ~ r1(sK47,X0) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_214,plain,
r1(sK47,sK47),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_215,plain,
( sP13(sK47)
| ~ r1(sK47,sK47) ),
inference(instantiation,[status(thm)],[c_213]) ).
tcf(c_243,plain,
( r1(sK47,sK16(sK47))
| ~ sP13(sK47) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_2868,plain,
! [X0: $i,X1: $i] :
( ~ sP13(X1)
| ~ p1(sK16(X1))
| ~ r1(sK47,X0)
| ~ r1(X0,sK16(X1)) ),
inference(resolution,[status(thm)],[c_210,c_111]) ).
tcf(c_2869,plain,
( ~ sP13(sK47)
| ~ p1(sK16(sK47))
| ~ r1(sK47,sK47)
| ~ r1(sK47,sK16(sK47)) ),
inference(instantiation,[status(thm)],[c_2868]) ).
tcf(c_2882,plain,
! [X0: $i,X1: $i] :
( p1(sK16(X1))
| ~ sP13(X1)
| ~ r1(sK47,X0)
| ~ r1(X0,sK16(X1)) ),
inference(resolution,[status(thm)],[c_209,c_110]) ).
tcf(c_2883,plain,
( p1(sK16(sK47))
| ~ sP13(sK47)
| ~ r1(sK47,sK47)
| ~ r1(sK47,sK16(sK47)) ),
inference(instantiation,[status(thm)],[c_2882]) ).
tcf(c_2884,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2883,c_2869,c_243,c_215,c_214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 00:19:48 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 2.29/1.30 % SZS status Started for theBenchmark.p
% 2.29/1.30 % SZS status Theorem for theBenchmark.p
% 2.29/1.30
% 2.29/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.29/1.30
% 2.29/1.30 % ------ iProver source info
% 2.29/1.30
% 2.29/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.29/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.29/1.30 % git: non_committed_changes: false
% 2.29/1.30
% 2.29/1.30 % ------ Parsing...
% 2.29/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.29/1.30
% 2.29/1.30 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s%
% 2.29/1.30
% 2.29/1.30 % SZS status Theorem for theBenchmark.p
% 2.29/1.30
% 2.29/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.29/1.30
% 2.29/1.30
%------------------------------------------------------------------------------