%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM851+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 : n006.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 02:26:54 PM UTC 2026
% Result : Theorem 3.54s 1.27s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f29ERROR: Could not build tree for root c_646ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f24]) ).
fof(f41,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
vplus(vd471,vd473) = vd470,
inference(cnf_transformation,[],[f4]) ).
fof(f55,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f56,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f57,plain,
! [X2,X0,X1] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vplus(vd471,vd473),vd469),
inference(cnf_transformation,[],[f39]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f40]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f41]) ).
tcf(c_59,plain,
vplus(vd471,vd473) = vd470,
inference(cnf_transformation,[],[f49]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f55]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f56]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : vmul(vmul(X0,X1),X2) = vmul(X0,vmul(X1,X2)),
inference(cnf_transformation,[],[f57]) ).
tcf(c_88,negated_conjecture,
vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vmul(vd469,vplus(vd471,vd473)),
inference(theory_normalisation,[status(thm)],[c_49,c_67,c_65,c_50,c_51]) ).
tcf(c_155,plain,
vplus(vmul(vd471,vd469),vmul(vd469,vd473)) != vmul(vd469,vd470),
inference(light_normalisation,[status(thm)],[c_88,c_59]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vmul(X0,X1),vmul(X1,X2)) = vmul(X1,vplus(X0,X2)),
inference(superposition,[status(thm)],[c_65,c_66]) ).
tcf(c_645,plain,
vmul(vd469,vplus(vd471,vd473)) != vmul(vd469,vd470),
inference(demodulation,[status(thm)],[c_155,c_612]) ).
tcf(c_646,plain,
$false,
inference(ground_joinability,[status(thm)],[c_645,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM851+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 05:34:11 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 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...
% 3.54/1.27 % SZS status Started for theBenchmark.p
% 3.54/1.27 % SZS status Theorem for theBenchmark.p
% 3.54/1.27
% 3.54/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/1.27
% 3.54/1.27 % ------ iProver source info
% 3.54/1.27
% 3.54/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.54/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/1.27 % git: non_committed_changes: false
% 3.54/1.27
% 3.54/1.27 % ------ Parsing...
% 3.54/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.54/1.27
% 3.54/1.27 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.54/1.27
% 3.54/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.54/1.27
% 3.54/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.54/1.27 % ------ Proving...
% 3.54/1.27 % ------ Problem Properties
% 3.54/1.27
% 3.54/1.27 %
% 3.54/1.27 % clauses 17
% 3.54/1.27 % conjectures 0
% 3.54/1.27 % EPR 0
% 3.54/1.27 % Horn 16
% 3.54/1.27 % unary 14
% 3.54/1.27 % binary 2
% 3.54/1.27 % lits 21
% 3.54/1.27 % lits eq 21
% 3.54/1.27 % fd_pure 0
% 3.54/1.27 % fd_pseudo 0
% 3.54/1.27 % fd_cond 0
% 3.54/1.27 % fd_pseudo_cond 2
% 3.54/1.27 % AC symbols 2
% 3.54/1.27
% 3.54/1.27 % ------ Schedule dynamic 5 is on
% 3.54/1.27
% 3.54/1.27 % ------ no conjectures: strip conj schedule
% 3.54/1.27
% 3.54/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.54/1.27
% 3.54/1.27
% 3.54/1.27 % ------
% 3.54/1.27 % Current options:
% 3.54/1.27 % ------
% 3.54/1.27
% 3.54/1.27
% 3.54/1.27 %
% 3.54/1.27
% 3.54/1.27 % ------ Proving...
% 3.54/1.27 %
% 3.54/1.27
% 3.54/1.27 % SZS status Theorem for theBenchmark.p
% 3.54/1.27
% 3.54/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/1.27
% 3.54/1.27
%------------------------------------------------------------------------------