%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n015.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 2.18s 1.26s
% Output : CNFRefutation 2.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f10ERROR: Could not build tree for root c_875ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f35,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f48,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
greater(vd508,vd509),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_49,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_51,plain,
greater(vd508,vd509),
inference(cnf_transformation,[],[f50]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(vmul(X0,X2),vmul(X1,X2))
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_873,plain,
! [X0: $i] :
( greater(vmul(vd508,X0),vmul(vd509,X0))
| ~ greater(vd508,vd509) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_874,plain,
( greater(vmul(vd508,vd511),vmul(vd509,vd511))
| ~ greater(vd508,vd509) ),
inference(instantiation,[status(thm)],[c_873]) ).
tcf(c_875,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_874,c_49,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM854+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 05:38:56 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 2.18/1.26 % SZS status Started for theBenchmark.p
% 2.18/1.26 % SZS status Theorem for theBenchmark.p
% 2.18/1.26
% 2.18/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.18/1.26
% 2.18/1.26 % ------ iProver source info
% 2.18/1.26
% 2.18/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.18/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.18/1.26 % git: non_committed_changes: false
% 2.18/1.26
% 2.18/1.26 % ------ Parsing...
% 2.18/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.18/1.26
% 2.18/1.26 % ------ 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 %
% 2.18/1.26
% 2.18/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.18/1.26
% 2.18/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.18/1.26 % ------ Proving...
% 2.18/1.26 % ------ Problem Properties
% 2.18/1.26
% 2.18/1.26 %
% 2.18/1.26 % clauses 30
% 2.18/1.26 % conjectures 1
% 2.18/1.26 % EPR 9
% 2.18/1.26 % Horn 28
% 2.18/1.26 % unary 18
% 2.18/1.26 % binary 10
% 2.18/1.26 % lits 44
% 2.18/1.26 % lits eq 19
% 2.18/1.26 % fd_pure 0
% 2.18/1.26 % fd_pseudo 0
% 2.18/1.26 % fd_cond 0
% 2.18/1.26 % fd_pseudo_cond 2
% 2.18/1.26 % AC symbols 1
% 2.18/1.26
% 2.18/1.26 % ------ Schedule dynamic 5 is on
% 2.18/1.26
% 2.18/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.18/1.26
% 2.18/1.26
% 2.18/1.26 % ------
% 2.18/1.26 % Current options:
% 2.18/1.26 % ------
% 2.18/1.26
% 2.18/1.26
% 2.18/1.26 %
% 2.18/1.26
% 2.18/1.26 % ------ Proving...
% 2.18/1.26 %
% 2.18/1.26
% 2.18/1.26 % SZS status Theorem for theBenchmark.p
% 2.18/1.26
% 2.18/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.18/1.26
% 2.18/1.26
%------------------------------------------------------------------------------