%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM848+1 : 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 : n019.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 2.75s 1.32s
% Output : CNFRefutation 2.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f59ERROR: Could not build tree for root c_488ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f7]) ).
fof(f113,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f14]) ).
fof(f156,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f49]) ).
fof(f158,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f51]) ).
fof(f159,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f52]) ).
fof(f167,plain,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))),
inference(definition_unfolding,[],[f100,f158]) ).
fof(f173,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f113,f158]) ).
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,[],[f167]) ).
tcf(c_54,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vd439)) = vmul(vd436,vplus(vd437,vd439)),
inference(cnf_transformation,[],[f105]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f173]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f156]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f159]) ).
tcf(c_145,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_106,c_104]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_61,c_106,c_104]) ).
tcf(c_486,plain,
vplus(vmul(vd436,vd437),vmul(vd436,vplus(v1,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(ac_demodulation,[status(thm)],[c_145,c_54,c_106,c_104]) ).
tcf(c_487,plain,
vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
inference(demodulation,[status(thm)],[c_486,c_151]) ).
tcf(c_488,plain,
$false,
inference(ac_demodulation,[status(thm)],[c_487,c_54,c_106,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM848+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 05:34:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 2.75/1.32 % SZS status Started for theBenchmark.p
% 2.75/1.32 % SZS status Theorem for theBenchmark.p
% 2.75/1.32
% 2.75/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.75/1.32
% 2.75/1.32 % ------ iProver source info
% 2.75/1.32
% 2.75/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 2.75/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.75/1.32 % git: non_committed_changes: false
% 2.75/1.32
% 2.75/1.32 % ------ Parsing...
% 2.75/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.75/1.32
% 2.75/1.32 % ------ Preprocessing...%
% 2.75/1.32
% 2.75/1.32 % SZS status Theorem for theBenchmark.p
% 2.75/1.32
% 2.75/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.75/1.32
% 2.75/1.32
%------------------------------------------------------------------------------