%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL636+1.001 : 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 : n010.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 02:06:58 PM UTC 2026
% Result : Theorem 0.46s 1.29s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f9ERROR: Could not build tree for root c_286ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f13,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p100(X0)
| ( ( ~ p1(X0)
| ! [X12] :
( ~ p100(X12)
| p1(X12)
| ~ r1(X0,X12) ) )
& ( p1(X0)
| ! [X11] :
( ~ p100(X11)
| ~ p1(X11)
| ~ r1(X0,X11) ) ) ) )
& ( ~ p101(X0)
| ( ( ~ p2(X0)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(X0,X10) ) )
& ( p2(X0)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X0,X9) ) ) ) )
& ( ~ p100(X0)
| p101(X0)
| ( ? [X8] :
( p101(X8)
& p2(X8)
& r1(X0,X8) )
& ? [X7] :
( p101(X7)
& ~ p2(X7)
& r1(X0,X7) ) ) )
& ! [X2] :
( ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) ) )
& ( p1(X2)
| ! [X5] :
( ~ p100(X5)
| ~ p1(X5)
| ~ r1(X2,X5) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X2,X4) ) )
& ( p2(X2)
| ! [X3] :
( ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3) ) ) ) )
& sP0(X2) )
| ~ r1(X0,X2) )
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f14,plain,
( p100(sK3)
& ~ p101(sK3)
& ( ~ p101(sK3)
| p100(sK3) )
& ( ~ p100(sK3)
| ( ( ~ p1(sK3)
| ! [X12] :
( ~ p100(X12)
| p1(X12)
| ~ r1(sK3,X12) ) )
& ( p1(sK3)
| ! [X11] :
( ~ p100(X11)
| ~ p1(X11)
| ~ r1(sK3,X11) ) ) ) )
& ( ~ p101(sK3)
| ( ( ~ p2(sK3)
| ! [X10] :
( ~ p101(X10)
| p2(X10)
| ~ r1(sK3,X10) ) )
& ( p2(sK3)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(sK3,X9) ) ) ) )
& ( ~ p100(sK3)
| p101(sK3)
| ( p101(sK5)
& p2(sK5)
& r1(sK3,sK5)
& p101(sK4)
& ~ p2(sK4)
& r1(sK3,sK4) ) )
& ! [X2] :
( ( ( ~ p101(X2)
| p100(X2) )
& ( ~ p100(X2)
| ( ( ~ p1(X2)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X2,X6) ) )
& ( p1(X2)
| ! [X5] :
( ~ p100(X5)
| ~ p1(X5)
| ~ r1(X2,X5) ) ) ) )
& ( ~ p101(X2)
| ( ( ~ p2(X2)
| ! [X4] :
( ~ p101(X4)
| p2(X4)
| ~ r1(X2,X4) ) )
& ( p2(X2)
| ! [X3] :
( ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3) ) ) ) )
& sP0(X2) )
| ~ r1(sK3,X2) )
& ! [X1] :
( p2(X1)
| ~ r1(sK3,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X7,sK4),skolemize(X8,sK5)],[f13]) ).
fof(f21,plain,
p100(sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
~ p101(sK3),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
( ~ p100(sK3)
| p101(sK3)
| ~ p2(sK4) ),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
( ~ p100(sK3)
| p101(sK3)
| r1(sK3,sK4) ),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X2,X3] :
( ~ p101(X2)
| p2(X2)
| ~ p101(X3)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK3,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f40,plain,
! [X1] :
( p2(X1)
| ~ r1(sK3,X1) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ r1(sK3,X0) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_57,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X0)
| ~ p2(X1)
| ~ p101(X1)
| ~ p101(X0)
| ~ r1(sK3,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_62,negated_conjecture,
( p101(sK3)
| r1(sK3,sK4)
| ~ p100(sK3) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_63,negated_conjecture,
( p101(sK3)
| ~ p2(sK4)
| ~ p100(sK3) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_73,negated_conjecture,
~ p101(sK3),
inference(cnf_transformation,[],[f22]) ).
tcf(c_74,negated_conjecture,
p100(sK3),
inference(cnf_transformation,[],[f21]) ).
tcf(c_93,negated_conjecture,
~ p2(sK4),
inference(global_subsumption_just,[status(thm)],[c_63,c_74,c_73,c_63]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( p2(X0)
| ~ r1(sK3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_57,c_55]) ).
tcf(c_285,plain,
~ r1(sK3,sK4),
inference(resolution,[status(thm)],[c_107,c_93]) ).
tcf(c_286,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_285,c_62,c_73,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL636+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 23:50:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 0.46/1.29 % SZS status Started for theBenchmark.p
% 0.46/1.29 % SZS status Theorem for theBenchmark.p
% 0.46/1.29
% 0.46/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.46/1.29
% 0.46/1.29 % ------ iProver source info
% 0.46/1.29
% 0.46/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.46/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.46/1.29 % git: non_committed_changes: false
% 0.46/1.29
% 0.46/1.29 % ------ Parsing...
% 0.46/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.46/1.29
% 0.46/1.29 % ------ Preprocessing... sf_s rm: 6 0s sf_e pe_s %
% 0.46/1.29
% 0.46/1.29 % SZS status Theorem for theBenchmark.p
% 0.46/1.29
% 0.46/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.29
% 0.46/1.29
%------------------------------------------------------------------------------