%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM845+1 : 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 02:26:52 PM UTC 2026
% Result : Theorem 1.29s 16.20s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f60ERROR: Could not build tree for root c_360ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,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)],[f60]) ).
fof(f79,plain,
vmul(vsucc(vd411),sK0) = vplus(vmul(vd411,sK0),sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f80,plain,
vmul(vsucc(vd411),vsucc(sK0)) != vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)),
inference(cnf_transformation,[],[f77]) ).
fof(f81,plain,
! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f53]) ).
fof(f82,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f50]) ).
fof(f94,plain,
! [X0] :
( vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0)
| vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f107,plain,
! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
inference(cnf_transformation,[],[f15]) ).
fof(f110,plain,
! [X0] : vsucc(X0) = vplus(X0,v1),
inference(cnf_transformation,[],[f54]) ).
fof(f113,plain,
vmul(vplus(vd411,v1),vplus(sK0,v1)) != vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)),
inference(definition_unfolding,[],[f80,f110,f110,f110,f110]) ).
fof(f114,plain,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(vd411,v1),sK0),
inference(definition_unfolding,[],[f79,f110]) ).
fof(f118,plain,
! [X0] :
( vplus(vmul(vd411,X0),X0) != vmul(vplus(vd411,v1),X0)
| vmul(vplus(vd411,v1),vplus(X0,v1)) = vplus(vmul(vplus(vd411,v1),X0),vplus(vd411,v1)) ),
inference(definition_unfolding,[],[f94,f110,f110,f110,f110,f110]) ).
fof(f130,plain,
! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1)),
inference(definition_unfolding,[],[f107,f110]) ).
tcf(c_49,negated_conjecture,
vplus(vmul(vd411,vplus(sK0,v1)),vplus(sK0,v1)) != vmul(vplus(vd411,v1),vplus(sK0,v1)),
inference(cnf_transformation,[],[f113]) ).
tcf(c_50,negated_conjecture,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(vd411,v1),sK0),
inference(cnf_transformation,[],[f114]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(cnf_transformation,[],[f81]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f82]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( vplus(vmul(vplus(vd411,v1),X0),vplus(vd411,v1)) = vmul(vplus(vd411,v1),vplus(X0,v1)) )
| ( vplus(vmul(vd411,X0),X0) != vmul(vplus(vd411,v1),X0) ) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(X1,v1)),
inference(cnf_transformation,[],[f130]) ).
tcf(c_97,negated_conjecture,
vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_49,c_51,c_52]) ).
tcf(c_98,negated_conjecture,
vplus(sK0,vmul(vd411,sK0)) = vmul(vplus(v1,vd411),sK0),
inference(theory_normalisation,[status(thm)],[c_50,c_51,c_52]) ).
tcf(c_102,plain,
! [X0: $i] :
( ( vplus(v1,vplus(vd411,vmul(vplus(v1,vd411),X0))) = vmul(vplus(v1,vd411),vplus(X0,v1)) )
| ( vplus(X0,vmul(vd411,X0)) != vmul(vplus(v1,vd411),X0) ) ),
inference(theory_normalisation,[status(thm)],[c_62,c_51,c_52]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(X1,v1)),
inference(theory_normalisation,[status(thm)],[c_74,c_51,c_52]) ).
tcf(c_328,plain,
vplus(v1,vplus(vd411,vmul(vplus(v1,vd411),sK0))) = vmul(vplus(v1,vd411),vplus(sK0,v1)),
inference(superposition,[status(thm)],[c_98,c_102]) ).
tcf(c_329,plain,
vplus(v1,vplus(vd411,vmul(vplus(v1,vd411),sK0))) = vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_328,c_51,c_52]) ).
tcf(c_330,plain,
vplus(v1,vplus(vd411,vplus(sK0,vmul(vd411,sK0)))) = vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(light_normalisation,[status(thm)],[c_329,c_98]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] : vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
inference(superposition,[status(thm)],[c_52,c_105]) ).
tcf(c_358,plain,
vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(demodulation,[status(thm)],[c_97,c_343]) ).
tcf(c_359,plain,
vplus(v1,vplus(vd411,vplus(sK0,vmul(vd411,sK0)))) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(theory_normalisation,[status(thm)],[c_358,c_51,c_52]) ).
tcf(c_360,plain,
$false,
inference(ground_joinability,[status(thm)],[c_359,c_330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM845+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/15.38 % Computer : n006.cluster.edu
% 0.09/15.38 % Model : x86_64 x86_64
% 0.09/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.38 % Memory : 8046.5625MB
% 0.09/15.38 % OS : Linux 6.8.0-71-generic
% 0.09/15.38 % CPULimit : 300
% 0.09/15.38 % WCLimit : 300
% 0.09/15.38 % DateTime : Thu Sep 24 05:32:57 UTC 2026
% 0.09/15.39 % CPUTime :
% 0.09/15.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/15.42 Running first-order theorem proving
% 0.14/15.42 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
% 0.14/15.44
% 0.14/15.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.44
% 0.14/15.44 % Detected problem language: tptp
% 0.14/15.45 % Proving...
% 1.29/16.20 % SZS status Started for theBenchmark.p
% 1.29/16.20 % SZS status Theorem for theBenchmark.p
% 1.29/16.20
% 1.29/16.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.29/16.20
% 1.29/16.20 % ------ iProver source info
% 1.29/16.20
% 1.29/16.20 % git: date: 2026-07-19 20:42:38 +0200
% 1.29/16.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.29/16.20 % git: non_committed_changes: false
% 1.29/16.20
% 1.29/16.20 % ------ Parsing...
% 1.29/16.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.29/16.20
% 1.29/16.20 % ------ 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 %
% 1.29/16.20
% 1.29/16.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.29/16.20
% 1.29/16.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.29/16.20 % ------ Proving...
% 1.29/16.20 % ------ Problem Properties
% 1.29/16.20
% 1.29/16.20 %
% 1.29/16.20 % clauses 14
% 1.29/16.20 % conjectures 2
% 1.29/16.20 % EPR 0
% 1.29/16.20 % Horn 13
% 1.29/16.20 % unary 9
% 1.29/16.20 % binary 4
% 1.29/16.20 % lits 20
% 1.29/16.20 % lits eq 20
% 1.29/16.20 % fd_pure 0
% 1.29/16.20 % fd_pseudo 0
% 1.29/16.20 % fd_cond 0
% 1.29/16.20 % fd_pseudo_cond 2
% 1.29/16.20 % AC symbols 1
% 1.29/16.20
% 1.29/16.20 % ------ Schedule dynamic 5 is on
% 1.29/16.20
% 1.29/16.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.29/16.20
% 1.29/16.20
% 1.29/16.20 % ------
% 1.29/16.20 % Current options:
% 1.29/16.20 % ------
% 1.29/16.20
% 1.29/16.20
% 1.29/16.20 %
% 1.29/16.20
% 1.29/16.20 % ------ Proving...
% 1.29/16.20 %
% 1.29/16.20
% 1.29/16.20 % SZS status Theorem for theBenchmark.p
% 1.29/16.20
% 1.29/16.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.29/16.20
% 1.29/16.20
%------------------------------------------------------------------------------