%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM848+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 02:26:53 PM UTC 2026
% Result : Theorem 1.50s 1.28s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f18ERROR: Could not build tree for root c_108ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f18]) ).
fof(f26,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))),
inference(definition_unfolding,[],[f21,f33]) ).
fof(f42,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f30,f33]) ).
tcf(c_49,negated_conjecture,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_54,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f26]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f31]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f34]) ).
tcf(c_73,negated_conjecture,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
inference(theory_normalisation,[status(thm)],[c_49,c_61,c_59]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_57,c_61,c_59]) ).
tcf(c_106,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(ac_demodulation,[status(thm)],[c_73,c_54,c_61,c_59]) ).
tcf(c_107,plain,
vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(demodulation,[status(thm)],[c_106,c_78]) ).
tcf(c_108,plain,
$false,
inference(ac_demodulation,[status(thm)],[c_107,c_54,c_61,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM848+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 05:37:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.50/1.28 % SZS status Started for theBenchmark.p
% 1.50/1.28 % SZS status Theorem for theBenchmark.p
% 1.50/1.28
% 1.50/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.28
% 1.50/1.28 % ------ iProver source info
% 1.50/1.28
% 1.50/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.28 % git: non_committed_changes: false
% 1.50/1.28
% 1.50/1.28 % ------ Parsing...
% 1.50/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.28
% 1.50/1.28 % ------ Preprocessing...%
% 1.50/1.28
% 1.50/1.28 % SZS status Theorem for theBenchmark.p
% 1.50/1.28
% 1.50/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.29
% 1.50/1.29
%------------------------------------------------------------------------------