%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM835+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 : n005.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 02:26:50 PM UTC 2026
% Result : Theorem 3.13s 1.17s
% Output : CNFRefutation 3.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f18ERROR: Could not build tree for root c_406ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
! [X0,X1] :
( ( ~ m(X1)
| ? [X3] : X1 = vplus(X0,X3)
| ? [X2] : X0 = vplus(X1,X2)
| X0 = X1 )
& ( ( ! [X3] : vplus(X0,X3) != X1
& ! [X2] : vplus(X1,X2) != X0
& X0 != X1 )
| m(X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f53,plain,
! [X0,X1] :
( ( ~ m(X1)
| ? [X3] : X1 = vplus(X0,X3)
| ? [X2] : X0 = vplus(X1,X2)
| X0 = X1 )
& ( ( ! [X3] : vplus(X0,X3) != X1
& ! [X2] : vplus(X1,X2) != X0
& X0 != X1 )
| m(X1) ) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ( ~ m(X1)
| ? [X5] : vplus(X0,X5) = X1
| ? [X4] : vplus(X1,X4) = X0
| X0 = X1 )
& ( ( ! [X3] : vplus(X0,X3) != X1
& ! [X2] : vplus(X1,X2) != X0
& X0 != X1 )
| m(X1) ) ),
inference(rectify,[],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( ( ~ m(X1)
| vplus(X0,sK1(X0,X1)) = X1
| vplus(X1,sK0(X0,X1)) = X0
| X0 = X1 )
& ( ( ! [X3] : vplus(X0,X3) != X1
& ! [X2] : vplus(X1,X2) != X0
& X0 != X1 )
| m(X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1)),skolemize(X5,sK1(X0,X1))],[f54]) ).
fof(f56,plain,
vd165 != vd151,
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
! [X1] : vd151 != vplus(vd165,X1),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0] : vd165 != vplus(vd151,X0),
inference(cnf_transformation,[],[f26]) ).
fof(f74,plain,
! [X0,X1] :
( ~ m(X1)
| vplus(X0,sK1(X0,X1)) = X1
| vplus(X1,sK0(X0,X1)) = X0
| X0 = X1 ),
inference(cnf_transformation,[],[f55]) ).
fof(f76,plain,
! [X2,X0,X1] :
( vplus(X1,X2) != X0
| m(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f106,plain,
! [X1] : m(X1),
inference(equality_resolution,[],[f76]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] : vplus(vd151,X0) != vd165,
inference(cnf_transformation,[],[f58]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] : vplus(vd165,X0) != vd151,
inference(cnf_transformation,[],[f57]) ).
tcf(c_51,negated_conjecture,
vd165 != vd151,
inference(cnf_transformation,[],[f56]) ).
tcf(c_66,plain,
! [X0: $i] : m(X0),
inference(cnf_transformation,[],[f106]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( vplus(X1,sK1(X1,X0)) = X0 )
| ( vplus(X0,sK0(X1,X0)) = X1 )
| ~ m(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( vplus(X1,sK1(X1,X0)) = X0 )
| ( vplus(X0,sK0(X1,X0)) = X1 ) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_66,c_68]) ).
tcf(c_189,negated_conjecture,
vd165 != vd151,
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_190,negated_conjecture,
! [X0: $i] : vplus(vd165,X0) != vd151,
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_191,negated_conjecture,
! [X0: $i] : vplus(vd151,X0) != vd165,
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_250,plain,
! [X0: $i] :
( ( X0 = vd151 )
| ( vplus(X0,sK0(vd151,X0)) = vd151 )
| ( X0 != vd165 ) ),
inference(superposition,[status(thm)],[c_108,c_191]) ).
tcf(c_405,plain,
( ( vd165 = vd151 )
| ( vplus(vd165,sK0(vd151,vd165)) = vd151 ) ),
inference(equality_resolution,[status(thm)],[c_250]) ).
tcf(c_406,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_405,c_189,c_190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM835+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 05:32:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.13/1.17 % SZS status Started for theBenchmark.p
% 3.13/1.17 % SZS status Theorem for theBenchmark.p
% 3.13/1.17
% 3.13/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.13/1.17
% 3.13/1.17 % ------ iProver source info
% 3.13/1.17
% 3.13/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.13/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.13/1.17 % git: non_committed_changes: false
% 3.13/1.17
% 3.13/1.17 % ------ Parsing...
% 3.13/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.13/1.17
% 3.13/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.13/1.17
% 3.13/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.13/1.17
% 3.13/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.13/1.17 % ------ Proving...
% 3.13/1.17 % ------ Problem Properties
% 3.13/1.17
% 3.13/1.17 %
% 3.13/1.17 % clauses 9
% 3.13/1.17 % conjectures 3
% 3.13/1.17 % EPR 1
% 3.13/1.17 % Horn 7
% 3.13/1.17 % unary 7
% 3.13/1.17 % binary 1
% 3.13/1.17 % lits 12
% 3.13/1.17 % lits eq 12
% 3.13/1.17 % fd_pure 0
% 3.13/1.17 % fd_pseudo 0
% 3.13/1.17 % fd_cond 0
% 3.13/1.17 % fd_pseudo_cond 0
% 3.13/1.17 % AC symbols 1
% 3.13/1.17
% 3.13/1.17 % ------ Schedule dynamic 5 is on
% 3.13/1.17
% 3.13/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.13/1.17
% 3.13/1.17
% 3.13/1.17 % ------
% 3.13/1.17 % Current options:
% 3.13/1.17 % ------
% 3.13/1.17
% 3.13/1.17
% 3.13/1.17 %
% 3.13/1.17
% 3.13/1.17 % ------ Proving...
% 3.13/1.17 %
% 3.13/1.17
% 3.13/1.17 % SZS status Theorem for theBenchmark.p
% 3.13/1.17
% 3.13/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.13/1.17
% 3.13/1.17
%------------------------------------------------------------------------------