%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN053+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 : n002.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 03:39:00 PM UTC 2026
% Result : Theorem 1.49s 1.27s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f14ERROR: Could not build tree for root c_88ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( big_f(X0)
| p )
<=> ( ! [X1] : big_f(X1)
| p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel23) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( big_f(X0)
| p )
<=> ( ! [X1] : big_f(X1)
| p ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
( big_f(X0)
| p )
<~> ( ! [X1] : big_f(X1)
| p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ! [X0] :
( big_f(X0)
| p )
| ! [X1] : big_f(X1)
| p )
& ( ? [X0] :
( ~ big_f(X0)
& ~ p )
| ( ? [X1] : ~ big_f(X1)
& ~ p ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X0] :
( big_f(X0)
| p )
| ! [X1] : big_f(X1)
| p )
& ( ? [X0] :
( ~ big_f(X0)
& ~ p )
| ( ? [X1] : ~ big_f(X1)
& ~ p ) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ( ! [X3] :
( big_f(X3)
| p )
| ! [X2] : big_f(X2)
| p )
& ( ? [X1] :
( ~ big_f(X1)
& ~ p )
| ( ? [X0] : ~ big_f(X0)
& ~ p ) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ( ! [X3] :
( big_f(X3)
| p )
| ! [X2] : big_f(X2)
| p )
& ( ( ~ big_f(sK1)
& ~ p )
| ( ~ big_f(sK0)
& ~ p ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f6]) ).
fof(f9,plain,
( ~ big_f(sK1)
| ~ big_f(sK0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,negated_conjecture,
~ p,
inference(cnf_transformation,[],[f13]) ).
tcf(c_52,negated_conjecture,
( ~ big_f(sK0)
| ~ big_f(sK1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_53,negated_conjecture,
! [X0: $i,X1: $i] :
( p
| big_f(X1)
| big_f(X0) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_54,plain,
( p
| big_f(sK0) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( big_f(X0)
| big_f(X1) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_49,c_53]) ).
tcf(c_56,negated_conjecture,
! [X0: $i,X1: $i] :
( big_f(X1)
| big_f(X0) ),
inference(renaming,[status(thm)],[c_55]) ).
tcf(c_62,negated_conjecture,
~ big_f(sK1),
inference(global_subsumption_just,[status(thm)],[c_52,c_49,c_54,c_52]) ).
tcf(c_78,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| big_f(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_56]) ).
tcf(c_79,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56]) ).
tcf(c_80,negated_conjecture,
~ big_f(sK1),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_81,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( big_f(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_86,negated_conjecture,
! [X0: $i] : big_f(X0),
inference(global_subsumption_just,[status(thm)],[c_83,c_81,c_83]) ).
tcf(c_88,plain,
$false,
inference(resolution,[status(thm)],[c_86,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN053+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 00:00:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 1.49/1.27 % SZS status Started for theBenchmark.p
% 1.49/1.27 % SZS status Theorem for theBenchmark.p
% 1.49/1.27
% 1.49/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.49/1.27
% 1.49/1.27 % ------ iProver source info
% 1.49/1.27
% 1.49/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.49/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.49/1.27 % git: non_committed_changes: false
% 1.49/1.27
% 1.49/1.27 % ------ Parsing...
% 1.49/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.49/1.27 %
% 1.49/1.27
% 1.49/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.49/1.27
% 1.49/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.49/1.27 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.49/1.27 % ------ Proving...
% 1.49/1.27 % ------ Problem Properties
% 1.49/1.27
% 1.49/1.27 %
% 1.49/1.27 % clauses 3
% 1.49/1.27 % conjectures 3
% 1.49/1.27 % EPR 3
% 1.49/1.27 % Horn 3
% 1.49/1.27 % unary 2
% 1.49/1.27 % binary 1
% 1.49/1.27 % lits 4
% 1.49/1.27 % lits eq 0
% 1.49/1.27 % fd_pure 0
% 1.49/1.27 % fd_pseudo 0
% 1.49/1.27 % fd_cond 0
% 1.49/1.27 % fd_pseudo_cond 0
% 1.49/1.27 % AC symbols 0
% 1.49/1.27
% 1.49/1.27 % ------ Schedule EPR Horn non eq is on
% 1.49/1.27
% 1.49/1.27 % ------ no equalities: superposition off
% 1.49/1.27
% 1.49/1.27 % ------ Option_epr_horn Time Limit: Unbounded
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 % ------
% 1.49/1.27 % Current options:
% 1.49/1.27 % ------
% 1.49/1.27
% 1.49/1.27
% 1.49/1.27 %
% 1.49/1.27
% 1.49/1.27 % ------ Proving...
% 1.49/1.27 %
% 1.49/1.27
% 1.49/1.27 % SZS status Theorem for theBenchmark.p
% 1.49/1.27
% 1.49/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.49/1.27
% 1.49/1.27
%------------------------------------------------------------------------------