%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM849+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 : 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 02:26:54 PM UTC 2026
% Result : Theorem 3.27s 1.32s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f5ERROR: Could not build tree for root c_646ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f17,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(f19,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)],[f14]) ).
fof(f20,plain,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f19]) ).
fof(f21,plain,
vmul(vmul(vd448,vd449),vsucc(sK0)) != vmul(vd448,vmul(vd449,vsucc(sK0))),
inference(cnf_transformation,[],[f19]) ).
fof(f24,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,[],[f17]) ).
fof(f27,plain,
! [X2,X0,X1] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) != vmul(vd448,vmul(vd449,vplus(sK0,v1))),
inference(definition_unfolding,[],[f21,f33,f33]) ).
fof(f39,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1)),
inference(definition_unfolding,[],[f31,f33]) ).
tcf(c_49,negated_conjecture,
vmul(vmul(vd448,vd449),vplus(sK0,v1)) != vmul(vd448,vmul(vd449,vplus(sK0,v1))),
inference(cnf_transformation,[],[f35]) ).
tcf(c_50,negated_conjecture,
vmul(vmul(vd448,vd449),sK0) = vmul(vd448,vmul(vd449,sK0)),
inference(cnf_transformation,[],[f20]) ).
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,[],[f24]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vmul(X0,X1),vmul(X0,X2)) = vmul(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f27]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f28]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1)),
inference(cnf_transformation,[],[f39]) ).
tcf(c_60,plain,
! [X0: $i] : vmul(X0,v1) = X0,
inference(cnf_transformation,[],[f30]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f32]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(X1,v1)),
inference(demodulation,[status(thm)],[c_59,c_61]) ).
tcf(c_105,plain,
vmul(vd448,vmul(vd449,sK0)) = vmul(sK0,vmul(vd449,vd448)),
inference(demodulation,[status(thm)],[c_50,c_57]) ).
tcf(c_106,plain,
vmul(vmul(vd449,vd448),vplus(v1,sK0)) != vmul(vd448,vmul(vd449,vplus(v1,sK0))),
inference(demodulation,[status(thm)],[c_49,c_57,c_61]) ).
tcf(c_107,plain,
! [X0: $i] :
( ( vmul(vmul(vd449,vd448),vplus(X0,v1)) = vmul(vd448,vmul(vd449,vplus(X0,v1))) )
| ( vmul(vmul(vd449,vd448),X0) != vmul(vd448,vmul(vd449,X0)) ) ),
inference(demodulation,[status(thm)],[c_53,c_56,c_57,c_61,c_103]) ).
tcf(c_146,definition,
iPr_def_10 = vmul(vd449,vd448),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_147,definition,
iPr_def_11 = vplus(v1,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_148,definition,
iPr_def_12 = vmul(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_149,definition,
iPr_def_13 = vmul(vd449,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_150,definition,
iPr_def_14 = vmul(vd448,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_151,definition,
iPr_def_15 = vmul(vd449,sK0),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_152,definition,
iPr_def_16 = vmul(vd448,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_153,definition,
iPr_def_17 = vmul(sK0,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_154,plain,
iPr_def_12 != iPr_def_14,
inference(demodulation,[status(thm)],[c_106,c_149,c_150,c_147,c_146,c_148]) ).
tcf(c_155,plain,
iPr_def_16 = iPr_def_17,
inference(demodulation,[status(thm)],[c_105,c_153,c_151,c_152]) ).
tcf(c_219,plain,
vmul(iPr_def_11,vd449) = iPr_def_13,
inference(demodulation,[status(thm)],[c_149,c_57]) ).
tcf(c_220,plain,
vmul(iPr_def_13,vd448) = iPr_def_14,
inference(demodulation,[status(thm)],[c_150,c_57]) ).
tcf(c_229,plain,
vmul(iPr_def_15,vd448) = iPr_def_16,
inference(demodulation,[status(thm)],[c_152,c_57]) ).
tcf(c_230,plain,
vmul(sK0,iPr_def_10) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_153,c_155]) ).
tcf(c_231,plain,
vmul(iPr_def_10,sK0) = iPr_def_16,
inference(demodulation,[status(thm)],[c_230,c_57]) ).
tcf(c_261,plain,
vmul(iPr_def_10,vplus(sK0,v1)) = vplus(iPr_def_10,iPr_def_16),
inference(superposition,[status(thm)],[c_231,c_103]) ).
tcf(c_268,plain,
vplus(iPr_def_10,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_261,c_61,c_147,c_148]) ).
tcf(c_347,plain,
! [X0: $i] : vmul(iPr_def_10,vplus(sK0,X0)) = vplus(iPr_def_16,vmul(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_231,c_56]) ).
tcf(c_401,plain,
! [X0: $i] :
( ( vmul(vd448,vmul(vd449,vplus(X0,v1))) = vmul(iPr_def_10,vplus(X0,v1)) )
| ( vmul(vd448,vmul(vd449,X0)) != vmul(iPr_def_10,X0) ) ),
inference(light_normalisation,[status(thm)],[c_107,c_146]) ).
tcf(c_404,plain,
( ( vmul(vd448,vmul(vd449,vplus(sK0,v1))) = vmul(iPr_def_10,vplus(sK0,v1)) )
| ( vmul(vd448,iPr_def_15) != vmul(iPr_def_10,sK0) ) ),
inference(superposition,[status(thm)],[c_151,c_401]) ).
tcf(c_412,plain,
vmul(vd448,vmul(vd449,vplus(sK0,v1))) = vmul(iPr_def_10,vplus(sK0,v1)),
inference(ground_joinability,[status(thm)],[c_404,c_57,c_229,c_231]) ).
tcf(c_560,plain,
vmul(iPr_def_10,vplus(sK0,v1)) = vplus(iPr_def_16,iPr_def_10),
inference(superposition,[status(thm)],[c_60,c_347]) ).
tcf(c_644,plain,
vmul(vd448,vmul(vd449,vplus(sK0,v1))) = vplus(iPr_def_16,iPr_def_10),
inference(light_normalisation,[status(thm)],[c_412,c_560]) ).
tcf(c_645,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_644,c_57,c_61,c_147,c_219,c_220,c_268]) ).
tcf(c_646,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_645,c_154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM849+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Thu Sep 24 05:33:50 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.43 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
% 0.13/0.44
% 0.13/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.44
% 0.13/0.44 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 3.27/1.32 % SZS status Started for theBenchmark.p
% 3.27/1.32 % SZS status Theorem for theBenchmark.p
% 3.27/1.32
% 3.27/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.27/1.32
% 3.27/1.32 % ------ iProver source info
% 3.27/1.32
% 3.27/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.27/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.27/1.32 % git: non_committed_changes: false
% 3.27/1.32
% 3.27/1.32 % ------ Parsing...
% 3.27/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.27/1.32
% 3.27/1.32 % ------ Preprocessing... sup_sim: 8 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 %
% 3.27/1.32
% 3.27/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.27/1.32
% 3.27/1.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.27/1.32 % ------ Proving...
% 3.27/1.32 % ------ Problem Properties
% 3.27/1.32
% 3.27/1.32 %
% 3.27/1.32 % clauses 18
% 3.27/1.32 % conjectures 0
% 3.27/1.32 % EPR 2
% 3.27/1.32 % Horn 18
% 3.27/1.32 % unary 17
% 3.27/1.32 % binary 1
% 3.27/1.32 % lits 19
% 3.27/1.32 % lits eq 19
% 3.27/1.32 % fd_pure 0
% 3.27/1.32 % fd_pseudo 0
% 3.27/1.32 % fd_cond 0
% 3.27/1.32 % fd_pseudo_cond 0
% 3.27/1.32 % AC symbols 0
% 3.27/1.32
% 3.27/1.32 % ------ Schedule dynamic 5 is on
% 3.27/1.32
% 3.27/1.32 % ------ no conjectures: strip conj schedule
% 3.27/1.32
% 3.27/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.27/1.32
% 3.27/1.32
% 3.27/1.32 % ------
% 3.27/1.32 % Current options:
% 3.27/1.32 % ------
% 3.27/1.32
% 3.27/1.32
% 3.27/1.32 %
% 3.27/1.32
% 3.27/1.32 % ------ Proving...
% 3.27/1.32 %
% 3.27/1.32
% 3.27/1.32 % SZS status Theorem for theBenchmark.p
% 3.27/1.32
% 3.27/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/1.32
% 3.27/1.32
%------------------------------------------------------------------------------