%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM855+2 : TPTP v9.3.1. Released v4.1.0.
% 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 02:26:55 PM UTC 2026
% Result : Theorem 4.17s 1.24s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f35ERROR: Could not build tree for root c_2358ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f87,plain,
! [X0,X1,X2] :
( ( ( ~ less(X0,X1)
| ~ leq(X1,X2) )
& ( ~ leq(X0,X1)
| ~ less(X1,X2) ) )
| less(X0,X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f92,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f93,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f101,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| X1 = X0
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| leq(X1,X0) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f102,plain,
! [X0,X1] :
( ( ~ leq(X1,X0)
| X1 = X0
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| leq(X1,X0) ) ),
inference(flattening,[],[f101]) ).
fof(f112,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f65]) ).
fof(f114,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f4]) ).
fof(f116,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f6]) ).
fof(f125,plain,
! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f127,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f17]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ less(X0,X1)
| ~ leq(X1,X2)
| less(X0,X2) ),
inference(cnf_transformation,[],[f87]) ).
fof(f154,plain,
! [X0,X1] :
( ~ less(X1,X0)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f159,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f174,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f177,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f58]) ).
tcf(c_49,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f112]) ).
tcf(c_51,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f114]) ).
tcf(c_53,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f116]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f125]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f127]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f174]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f177]) ).
tcf(c_148,negated_conjecture,
~ greater(vmul(vd511,vd508),vmul(vd509,vd512)),
inference(theory_normalisation,[status(thm)],[c_49,c_111,c_109,c_61,c_63]) ).
tcf(c_149,plain,
greater(vmul(vd509,vd511),vmul(vd509,vd512)),
inference(theory_normalisation,[status(thm)],[c_51,c_111,c_109,c_61,c_63]) ).
tcf(c_150,plain,
greater(vmul(vd511,vd508),vmul(vd509,vd511)),
inference(theory_normalisation,[status(thm)],[c_53,c_111,c_109,c_61,c_63]) ).
tcf(c_1121,plain,
( greater(vmul(vd511,vd508),vmul(vd509,vd512))
| ~ less(vmul(vd509,vd512),vmul(vd511,vd508)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_1250,plain,
! [X0: $i,X1: $i] :
( less(X1,vmul(vd511,vd508))
| ~ less(X1,X0)
| ~ leq(X0,vmul(vd511,vd508)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_1671,plain,
less(vmul(vd509,vd512),vmul(vd509,vd511)),
inference(superposition,[status(thm)],[c_149,c_94]) ).
tcf(c_1695,plain,
less(vmul(vd509,vd511),vmul(vd511,vd508)),
inference(superposition,[status(thm)],[c_150,c_94]) ).
tcf(c_1740,plain,
leq(vmul(vd509,vd511),vmul(vd511,vd508)),
inference(superposition,[status(thm)],[c_1695,c_87]) ).
tcf(c_2356,plain,
( less(vmul(vd509,vd512),vmul(vd511,vd508))
| ~ leq(vmul(vd509,vd511),vmul(vd511,vd508))
| ~ less(vmul(vd509,vd512),vmul(vd509,vd511)) ),
inference(instantiation,[status(thm)],[c_1250]) ).
tcf(c_2358,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2356,c_1740,c_1671,c_1121,c_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM855+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 05:30:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 4.17/1.24 % SZS status Started for theBenchmark.p
% 4.17/1.24 % SZS status Theorem for theBenchmark.p
% 4.17/1.24
% 4.17/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.17/1.24
% 4.17/1.24 % ------ iProver source info
% 4.17/1.24
% 4.17/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 4.17/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.17/1.24 % git: non_committed_changes: false
% 4.17/1.24
% 4.17/1.24 % ------ Parsing...
% 4.17/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.17/1.24
% 4.17/1.24 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.17/1.24
% 4.17/1.24 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.17/1.24
% 4.17/1.24 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.17/1.24 % ------ Proving...
% 4.17/1.24 % ------ Problem Properties
% 4.17/1.24
% 4.17/1.24 %
% 4.17/1.24 % clauses 58
% 4.17/1.24 % conjectures 1
% 4.17/1.24 % EPR 21
% 4.17/1.24 % Horn 53
% 4.17/1.24 % unary 23
% 4.17/1.24 % binary 23
% 4.17/1.24 % lits 105
% 4.17/1.24 % lits eq 27
% 4.17/1.24 % fd_pure 0
% 4.17/1.24 % fd_pseudo 0
% 4.17/1.24 % fd_cond 0
% 4.17/1.24 % fd_pseudo_cond 6
% 4.17/1.24 % AC symbols 2
% 4.17/1.24
% 4.17/1.24 % ------ Input Options Time Limit: Unbounded
% 4.17/1.24
% 4.17/1.24
% 4.17/1.24 % ------
% 4.17/1.24 % Current options:
% 4.17/1.24 % ------
% 4.17/1.24
% 4.17/1.24
% 4.17/1.24 %
% 4.17/1.24
% 4.17/1.24 % ------ Proving...
% 4.17/1.24 %
% 4.17/1.24
% 4.17/1.24 % SZS status Theorem for theBenchmark.p
% 4.17/1.24
% 4.17/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.17/1.24
% 4.17/1.24
%------------------------------------------------------------------------------