%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM849+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 : n012.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 1.85s 16.19s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f58ERROR: Could not build tree for root c_8300ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f92,plain,
( vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0))
& vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f58]) ).
fof(f104,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f92]) ).
fof(f105,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(cnf_transformation,[],[f92]) ).
fof(f108,plain,
! [X0] :
( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0))
| vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) = vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f112,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f117,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f160,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f162,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f163,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f51]) ).
fof(f171,plain,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(definition_unfolding,[],[f105,f162,f162]) ).
fof(f175,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(definition_unfolding,[],[f117,f162]) ).
tcf(c_49,negated_conjecture,
vmul(vmul(vd448,vd449),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(cnf_transformation,[],[f171]) ).
tcf(c_50,negated_conjecture,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f104]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( vplus(vmul(vmul(vd448,vd449),X0),vmul(vd448,vd449)) = vplus(vmul(vd448,vmul(vd449,X0)),vmul(vd448,vd449)) )
| ( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f112]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f113]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
inference(cnf_transformation,[],[f175]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f160]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f163]) ).
tcf(c_152,plain,
! [X0: $i] :
( ( vplus(vmul(vd448,vd449),vmul(vmul(vd448,vd449),X0)) = vplus(vmul(vd448,vd449),vmul(vd448,vmul(vd449,X0))) )
| ( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ) ),
inference(theory_normalisation,[status(thm)],[c_53,c_106,c_104]) ).
tcf(c_155,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_460,plain,
vmul(vd448,vmul(vd449,sK0)) = vmul(sK0,vmul(vd449,vd448)),
inference(demodulation,[status(thm)],[c_50,c_58]) ).
tcf(c_493,plain,
vmul(vplus(v1,sK0),vmul(vd449,vd448)) != vmul(vd448,vplus(vd449,vmul(vd449,sK0))),
inference(demodulation,[status(thm)],[c_49,c_58,c_155]) ).
tcf(c_500,plain,
! [X0: $i] :
( ( vplus(vmul(vd448,vd449),vmul(vmul(vd448,vd449),X0)) = vmul(vd448,vplus(vmul(vd449,X0),vd449)) )
| ( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ) ),
inference(ac_demodulation,[status(thm)],[c_152,c_57,c_106,c_104]) ).
tcf(c_501,plain,
! [X0: $i] :
( ( vplus(vmul(vd448,vd449),vmul(vmul(vd448,vd449),X0)) = vmul(vd448,vplus(vd449,vmul(vd449,X0))) )
| ( vmul(vmul(vd448,vd449),X0) != vmul(vd448,vmul(vd449,X0)) ) ),
inference(theory_normalisation,[status(thm)],[c_500,c_106,c_104]) ).
tcf(c_502,plain,
! [X0: $i] :
( ( vmul(vmul(vd449,vd448),vplus(v1,X0)) = vmul(vd448,vplus(vd449,vmul(vd449,X0))) )
| ( vmul(vmul(vd449,vd448),X0) != vmul(vd448,vmul(vd449,X0)) ) ),
inference(demodulation,[status(thm)],[c_501,c_58,c_155]) ).
tcf(c_858,definition,
iPr_def_10 = vplus(v1,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_859,definition,
iPr_def_11 = vmul(vd449,vd448),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_860,definition,
iPr_def_12 = vmul(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_861,definition,
iPr_def_13 = vmul(vd449,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_862,definition,
iPr_def_14 = vplus(vd449,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_863,definition,
iPr_def_15 = vmul(vd448,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_864,definition,
iPr_def_16 = vmul(vd448,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_865,definition,
iPr_def_17 = vmul(sK0,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_866,plain,
iPr_def_12 != iPr_def_15,
inference(demodulation,[status(thm)],[c_493,c_861,c_862,c_863,c_859,c_858,c_860]) ).
tcf(c_867,plain,
iPr_def_16 = iPr_def_17,
inference(demodulation,[status(thm)],[c_460,c_865,c_864]) ).
tcf(c_1391,plain,
vplus(iPr_def_13,vd449) = iPr_def_14,
inference(theory_normalisation,[status(thm)],[c_862,c_106,c_104]) ).
tcf(c_1394,plain,
vmul(iPr_def_14,vd448) = iPr_def_15,
inference(demodulation,[status(thm)],[c_863,c_58]) ).
tcf(c_1395,plain,
vmul(iPr_def_13,vd448) = iPr_def_16,
inference(demodulation,[status(thm)],[c_864,c_58]) ).
tcf(c_1396,plain,
vmul(sK0,iPr_def_11) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_865,c_867]) ).
tcf(c_1397,plain,
vmul(iPr_def_11,sK0) = iPr_def_16,
inference(demodulation,[status(thm)],[c_1396,c_58]) ).
tcf(c_1406,plain,
! [X0: $i] : vplus(X0,vmul(X0,sK0)) = vmul(X0,iPr_def_10),
inference(superposition,[status(thm)],[c_858,c_155]) ).
tcf(c_1489,plain,
! [X0: $i] :
( ( vmul(vd448,vplus(vd449,vmul(vd449,X0))) = vmul(iPr_def_11,vplus(v1,X0)) )
| ( vmul(vd448,vmul(vd449,X0)) != vmul(iPr_def_11,X0) ) ),
inference(light_normalisation,[status(thm)],[c_502,c_859]) ).
tcf(c_1490,plain,
! [X0: $i] :
( ( vmul(vd448,vplus(vd449,vmul(vd449,X0))) = vplus(iPr_def_11,vmul(iPr_def_11,X0)) )
| ( vmul(vd448,vmul(vd449,X0)) != vmul(iPr_def_11,X0) ) ),
inference(demodulation,[status(thm)],[c_1489,c_155]) ).
tcf(c_1497,plain,
( ( vmul(vd448,vplus(vd449,vmul(vd449,sK0))) = vplus(iPr_def_11,vmul(iPr_def_11,sK0)) )
| ( vmul(vd448,iPr_def_13) != vmul(iPr_def_11,sK0) ) ),
inference(superposition,[status(thm)],[c_861,c_1490]) ).
tcf(c_1505,plain,
vmul(vd448,vplus(vd449,vmul(vd449,sK0))) = vplus(iPr_def_11,vmul(iPr_def_11,sK0)),
inference(ground_joinability,[status(thm)],[c_1497,c_58,c_1395,c_1397]) ).
tcf(c_1506,plain,
vmul(vd448,vplus(vd449,iPr_def_13)) = vplus(iPr_def_11,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_1505,c_861,c_1397]) ).
tcf(c_1507,plain,
vmul(vd448,vplus(iPr_def_13,vd449)) = vplus(iPr_def_11,iPr_def_16),
inference(theory_normalisation,[status(thm)],[c_1506,c_106,c_104]) ).
tcf(c_1508,plain,
vmul(vd448,iPr_def_14) = vplus(iPr_def_11,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_1507,c_1391]) ).
tcf(c_1583,plain,
vplus(iPr_def_11,iPr_def_16) = iPr_def_15,
inference(demodulation,[status(thm)],[c_1508,c_58,c_1394]) ).
tcf(c_5693,plain,
vmul(iPr_def_11,iPr_def_10) = vplus(iPr_def_11,iPr_def_16),
inference(superposition,[status(thm)],[c_1397,c_1406]) ).
tcf(c_5742,plain,
vmul(iPr_def_11,iPr_def_10) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_5693,c_1583]) ).
tcf(c_8299,plain,
iPr_def_12 = iPr_def_15,
inference(demodulation,[status(thm)],[c_5742,c_58,c_860]) ).
tcf(c_8300,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8299,c_866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM849+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/15.53 % Computer : n012.cluster.edu
% 0.04/15.53 % Model : x86_64 x86_64
% 0.04/15.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/15.53 % Memory : 8046.5625MB
% 0.04/15.53 % OS : Linux 6.8.0-71-generic
% 0.04/15.53 % CPULimit : 300
% 0.04/15.53 % WCLimit : 300
% 0.04/15.53 % DateTime : Thu Sep 24 05:33:53 UTC 2026
% 0.04/15.53 % CPUTime :
% 0.04/15.53 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/15.55 Running first-order theorem proving
% 0.04/15.55 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
% 0.04/15.56
% 0.04/15.56 % ======== iProver multi-core TPTP/SMT =========
% 0.04/15.56
% 0.04/15.56 % Detected problem language: tptp
% 0.04/15.57 % Proving...
% 1.85/16.19 % SZS status Started for theBenchmark.p
% 1.85/16.19 % SZS status Theorem for theBenchmark.p
% 1.85/16.19
% 1.85/16.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.85/16.19
% 1.85/16.19 % ------ iProver source info
% 1.85/16.19
% 1.85/16.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.85/16.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.85/16.19 % git: non_committed_changes: false
% 1.85/16.19
% 1.85/16.19 % ------ Parsing...
% 1.85/16.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.85/16.19
% 1.85/16.19 % ------ Preprocessing... sup_sim: 5 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 %
% 1.85/16.19
% 1.85/16.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.85/16.19
% 1.85/16.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.85/16.19 % ------ Proving...
% 1.85/16.19 % ------ Problem Properties
% 1.85/16.19
% 1.85/16.19 %
% 1.85/16.19 % clauses 58
% 1.85/16.19 % conjectures 0
% 1.85/16.19 % EPR 21
% 1.85/16.19 % Horn 53
% 1.85/16.19 % unary 27
% 1.85/16.19 % binary 19
% 1.85/16.19 % lits 101
% 1.85/16.19 % lits eq 36
% 1.85/16.19 % fd_pure 0
% 1.85/16.19 % fd_pseudo 0
% 1.85/16.19 % fd_cond 0
% 1.85/16.19 % fd_pseudo_cond 5
% 1.85/16.19 % AC symbols 1
% 1.85/16.19
% 1.85/16.19 % ------ Schedule dynamic 5 is on
% 1.85/16.19
% 1.85/16.19 % ------ no conjectures: strip conj schedule
% 1.85/16.19
% 1.85/16.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.85/16.19
% 1.85/16.19
% 1.85/16.19 % ------
% 1.85/16.19 % Current options:
% 1.85/16.19 % ------
% 1.85/16.19
% 1.85/16.19
% 1.85/16.19 %
% 1.85/16.19
% 1.85/16.19 % ------ Proving...
% 1.85/16.19 %
% 1.85/16.19
% 1.85/16.19 % SZS status Theorem for theBenchmark.p
% 1.85/16.19
% 1.85/16.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.85/16.19
% 1.85/16.19
%------------------------------------------------------------------------------