%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM845+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 : n013.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 02:26:52 PM UTC 2026
% Result : Theorem 1.66s 11.70s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f17ERROR: Could not build tree for root c_964ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
( vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0)
& vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
fof(f27,plain,
vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f28,plain,
vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f12]) ).
fof(f40,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f42,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
vmul(vplus(v1,vd411),vplus(v1,sK0)) != vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)),
inference(definition_unfolding,[],[f28,f41,f41,f41,f41]) ).
fof(f46,plain,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(definition_unfolding,[],[f27,f41]) ).
fof(f56,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f39,f41]) ).
tcf(c_49,negated_conjecture,
vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(cnf_transformation,[],[f45]) ).
tcf(c_50,negated_conjecture,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(cnf_transformation,[],[f46]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f56]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f40]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f42]) ).
tcf(c_79,negated_conjecture,
vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_49,c_63,c_62]) ).
tcf(c_80,negated_conjecture,
vplus(sK0,vmul(vd411,sK0)) = vmul(vplus(vd411,v1),sK0),
inference(theory_normalisation,[status(thm)],[c_50,c_63,c_62]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(theory_normalisation,[status(thm)],[c_60,c_63,c_62]) ).
tcf(c_113,plain,
vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(demodulation,[status(thm)],[c_79,c_84]) ).
tcf(c_114,plain,
vplus(vd411,vplus(v1,vplus(sK0,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_113,c_63,c_62]) ).
tcf(c_158,definition,
iPr_def_10 = vmul(vd411,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_159,definition,
iPr_def_11 = vplus(sK0,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_160,definition,
iPr_def_12 = vplus(v1,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_161,definition,
iPr_def_13 = vplus(vd411,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_162,definition,
iPr_def_14 = vplus(vd411,v1),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_163,definition,
iPr_def_15 = vplus(v1,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_164,definition,
iPr_def_16 = vmul(iPr_def_14,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_165,definition,
iPr_def_17 = vmul(iPr_def_14,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_166,plain,
iPr_def_13 != iPr_def_16,
inference(demodulation,[status(thm)],[c_114,c_163,c_162,c_164,c_158,c_159,c_160,c_161]) ).
tcf(c_167,negated_conjecture,
iPr_def_11 = iPr_def_17,
inference(demodulation,[status(thm)],[c_80,c_165]) ).
tcf(c_234,plain,
vplus(iPr_def_11,v1) = iPr_def_12,
inference(theory_normalisation,[status(thm)],[c_160,c_63,c_62]) ).
tcf(c_235,plain,
vplus(iPr_def_12,vd411) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_161,c_63,c_62]) ).
tcf(c_249,plain,
vmul(iPr_def_14,sK0) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_165,c_167]) ).
tcf(c_251,plain,
! [X0: $i] : vplus(vd411,vplus(v1,X0)) = vplus(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_162,c_63]) ).
tcf(c_278,plain,
! [X0: $i] : vplus(vd411,vplus(X0,v1)) = vplus(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_62,c_251]) ).
tcf(c_376,plain,
! [X0: $i] : vplus(X0,vmul(X0,sK0)) = vmul(X0,iPr_def_15),
inference(superposition,[status(thm)],[c_163,c_84]) ).
tcf(c_868,plain,
vplus(vd411,iPr_def_12) = vplus(iPr_def_14,iPr_def_11),
inference(superposition,[status(thm)],[c_234,c_278]) ).
tcf(c_877,plain,
vplus(iPr_def_11,iPr_def_14) = vplus(iPr_def_12,vd411),
inference(theory_normalisation,[status(thm)],[c_868,c_63,c_62]) ).
tcf(c_878,plain,
vplus(iPr_def_11,iPr_def_14) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_877,c_235]) ).
tcf(c_950,plain,
vplus(iPr_def_14,iPr_def_11) = vmul(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_249,c_376]) ).
tcf(c_962,plain,
vplus(iPr_def_11,iPr_def_14) = vmul(iPr_def_14,iPr_def_15),
inference(theory_normalisation,[status(thm)],[c_950,c_63,c_62]) ).
tcf(c_963,plain,
iPr_def_13 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_962,c_164,c_878]) ).
tcf(c_964,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_963,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : NUM845+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.25 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/10.79 % Computer : n013.cluster.edu
% 0.08/10.79 % Model : x86_64 x86_64
% 0.08/10.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.79 % Memory : 8046.5625MB
% 0.08/10.79 % OS : Linux 6.8.0-71-generic
% 0.08/10.79 % CPULimit : 300
% 0.08/10.79 % WCLimit : 300
% 0.08/10.79 % DateTime : Thu Sep 24 05:32:39 UTC 2026
% 0.08/10.79 % CPUTime :
% 0.08/10.79 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/10.82 Running first-order theorem proving
% 0.13/10.82 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
% 0.13/10.84
% 0.13/10.84 % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.84
% 0.13/10.84 % Detected problem language: tptp
% 0.13/10.85 % Proving...
% 1.66/11.70 % SZS status Started for theBenchmark.p
% 1.66/11.70 % SZS status Theorem for theBenchmark.p
% 1.66/11.70
% 1.66/11.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/11.70
% 1.66/11.70 % ------ iProver source info
% 1.66/11.70
% 1.66/11.70 % git: date: 2026-07-19 20:42:38 +0200
% 1.66/11.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/11.70 % git: non_committed_changes: false
% 1.66/11.70
% 1.66/11.70 % ------ Parsing...
% 1.66/11.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.66/11.70
% 1.66/11.70 % ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.66/11.70
% 1.66/11.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.66/11.70
% 1.66/11.70 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.66/11.70 % ------ Proving...
% 1.66/11.70 % ------ Problem Properties
% 1.66/11.70
% 1.66/11.70 %
% 1.66/11.70 % clauses 16
% 1.66/11.70 % conjectures 1
% 1.66/11.70 % EPR 2
% 1.66/11.70 % Horn 16
% 1.66/11.70 % unary 14
% 1.66/11.70 % binary 2
% 1.66/11.70 % lits 18
% 1.66/11.70 % lits eq 18
% 1.66/11.70 % fd_pure 0
% 1.66/11.70 % fd_pseudo 0
% 1.66/11.70 % fd_cond 0
% 1.66/11.70 % fd_pseudo_cond 0
% 1.66/11.70 % AC symbols 1
% 1.66/11.70
% 1.66/11.70 % ------ Schedule dynamic 5 is on
% 1.66/11.70
% 1.66/11.70 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.66/11.70
% 1.66/11.70
% 1.66/11.70 % ------
% 1.66/11.70 % Current options:
% 1.66/11.70 % ------
% 1.66/11.70
% 1.66/11.70
% 1.66/11.70 %
% 1.66/11.70
% 1.66/11.70 % ------ Proving...
% 1.66/11.70 %
% 1.66/11.70
% 1.66/11.70 % SZS status Theorem for theBenchmark.p
% 1.66/11.70
% 1.66/11.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/11.70
% 1.66/11.70
%------------------------------------------------------------------------------