%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN398+1 : TPTP v9.3.1. Released v2.0.0.
% 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 03:39:58 PM UTC 2026
% Result : Theorem 0.91s 1.06s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f13ERROR: Could not build tree for root c_85ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( f(X0)
& p )
<=> ( ! [X1] : f(X1)
& p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish215) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( f(X0)
& p )
<=> ( ! [X1] : f(X1)
& p ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
( f(X0)
& p )
<~> ( ! [X1] : f(X1)
& p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ! [X0] :
( f(X0)
& p )
| ( ! [X1] : f(X1)
& p ) )
& ( ? [X0] :
( ~ f(X0)
| ~ p )
| ? [X1] : ~ f(X1)
| ~ p ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X0] :
( f(X0)
& p )
| ( ! [X1] : f(X1)
& p ) )
& ( ? [X0] :
( ~ f(X0)
| ~ p )
| ? [X1] : ~ f(X1)
| ~ p ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ( ! [X3] :
( f(X3)
& p )
| ( ! [X2] : f(X2)
& p ) )
& ( ? [X1] :
( ~ f(X1)
| ~ p )
| ? [X0] : ~ f(X0)
| ~ p ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ( ! [X3] :
( f(X3)
& p )
| ( ! [X2] : f(X2)
& p ) )
& ( ~ f(sK1)
| ~ p
| ~ f(sK0)
| ~ p ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
fof(f8,plain,
! [X2,X3] :
( f(X3)
| f(X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,negated_conjecture,
( ~ p
| ~ f(sK1)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_50,negated_conjecture,
p,
inference(cnf_transformation,[],[f14]) ).
tcf(c_53,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1)
| f(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_54,plain,
f(sK0),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_59,negated_conjecture,
~ f(sK1),
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_54,c_49]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| f(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_53]) ).
tcf(c_76,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_53]) ).
tcf(c_77,negated_conjecture,
~ f(sK1),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_78,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_76]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] :
( f(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_75]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] : f(X0),
inference(global_subsumption_just,[status(thm)],[c_80,c_78,c_80]) ).
tcf(c_85,plain,
$false,
inference(resolution,[status(thm)],[c_83,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN398+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 01:04:35 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.91/1.06 % SZS status Started for theBenchmark.p
% 0.91/1.06 % SZS status Theorem for theBenchmark.p
% 0.91/1.06
% 0.91/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.91/1.06
% 0.91/1.06 % ------ iProver source info
% 0.91/1.06
% 0.91/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.91/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.91/1.06 % git: non_committed_changes: false
% 0.91/1.06
% 0.91/1.06 % ------ Parsing...
% 0.91/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.91/1.06 %
% 0.91/1.06
% 0.91/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.91/1.06
% 0.91/1.06 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.91/1.06 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.91/1.06 % ------ Proving...
% 0.91/1.06 % ------ Problem Properties
% 0.91/1.06
% 0.91/1.06 %
% 0.91/1.06 % clauses 3
% 0.91/1.06 % conjectures 3
% 0.91/1.06 % EPR 3
% 0.91/1.06 % Horn 3
% 0.91/1.06 % unary 2
% 0.91/1.06 % binary 1
% 0.91/1.06 % lits 4
% 0.91/1.07 % lits eq 0
% 0.91/1.07 % fd_pure 0
% 0.91/1.07 % fd_pseudo 0
% 0.91/1.07 % fd_cond 0
% 0.91/1.07 % fd_pseudo_cond 0
% 0.91/1.07 % AC symbols 0
% 0.91/1.07
% 0.91/1.07 % ------ Schedule EPR Horn non eq is on
% 0.91/1.07
% 0.91/1.07 % ------ no equalities: superposition off
% 0.91/1.07
% 0.91/1.07 % ------ Option_epr_horn Time Limit: Unbounded
% 0.91/1.07
% 0.91/1.07
% 0.91/1.07 % ------
% 0.91/1.07 % Current options:
% 0.91/1.07 % ------
% 0.91/1.07
% 0.91/1.07
% 0.91/1.07 %
% 0.91/1.07
% 0.91/1.07 % ------ Proving...
% 0.91/1.07 %
% 0.91/1.07
% 0.91/1.07 % SZS status Theorem for theBenchmark.p
% 0.91/1.07
% 0.91/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.91/1.07
% 0.91/1.07
%------------------------------------------------------------------------------