%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN409+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 : n026.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 03:39:59 PM UTC 2026
% Result : Theorem 1.46s 1.27s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 19 |; 9 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 25 !; 6 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] : f(X0)
<=> ! [X1,X2] :
( f(X2)
& f(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish246) ).
fof(f2,negated_conjecture,
~ ( ! [X0] : f(X0)
<=> ! [X1,X2] :
( f(X2)
& f(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] : f(X0)
<~> ! [X1,X2] :
( f(X2)
& f(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ! [X0] : f(X0)
| ! [X1,X2] :
( f(X2)
& f(X1) ) )
& ( ? [X0] : ~ f(X0)
| ? [X1,X2] :
( ~ f(X2)
| ~ f(X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X5] : f(X5)
| ! [X3,X4] :
( f(X4)
& f(X3) ) )
& ( ? [X2] : ~ f(X2)
| ? [X0,X1] :
( ~ f(X1)
| ~ f(X0) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ( ! [X5] : f(X5)
| ! [X3,X4] :
( f(X4)
& f(X3) ) )
& ( ~ f(sK2)
| ~ f(sK1)
| ~ f(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5]) ).
fof(f7,plain,
! [X4,X5] :
( f(X5)
| f(X4) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
( ~ f(sK2)
| ~ f(sK1)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
( ~ f(sK2)
| ~ f(sK1)
| ~ f(sK0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( f(X1)
| f(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_52,plain,
f(sK0),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_53,negated_conjecture,
( ~ f(sK2)
| ~ f(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_52,c_49]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| f(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_51]) ).
tcf(c_72,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_51]) ).
tcf(c_73,negated_conjecture,
( ~ f(sK2)
| ~ f(sK1) ),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_74,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_76,negated_conjecture,
! [X0: $i] :
( f(X0)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_79,negated_conjecture,
! [X0: $i] : f(X0),
inference(global_subsumption_just,[status(thm)],[c_76,c_74,c_76]) ).
tcf(c_81,plain,
~ f(sK2),
inference(resolution,[status(thm)],[c_73,c_79]) ).
tcf(c_82,plain,
$false,
inference(resolution,[status(thm)],[c_81,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN409+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:08:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.46/1.27 % SZS status Started for theBenchmark.p
% 1.46/1.27 % SZS status Theorem for theBenchmark.p
% 1.46/1.27
% 1.46/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.46/1.27
% 1.46/1.27 % ------ iProver source info
% 1.46/1.27
% 1.46/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.46/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.46/1.27 % git: non_committed_changes: false
% 1.46/1.27
% 1.46/1.27 % ------ Parsing...
% 1.46/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.46/1.27 %
% 1.46/1.27
% 1.46/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.46/1.27
% 1.46/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.46/1.27 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.46/1.27 % ------ Proving...
% 1.46/1.27 % ------ Problem Properties
% 1.46/1.27
% 1.46/1.27 %
% 1.46/1.27 % clauses 3
% 1.46/1.27 % conjectures 3
% 1.46/1.27 % EPR 3
% 1.46/1.27 % Horn 3
% 1.46/1.27 % unary 1
% 1.46/1.27 % binary 2
% 1.46/1.27 % lits 5
% 1.46/1.27 % lits eq 0
% 1.46/1.27 % fd_pure 0
% 1.46/1.27 % fd_pseudo 0
% 1.46/1.27 % fd_cond 0
% 1.46/1.27 % fd_pseudo_cond 0
% 1.46/1.27 % AC symbols 0
% 1.46/1.27
% 1.46/1.27 % ------ Schedule EPR Horn non eq is on
% 1.46/1.27
% 1.46/1.27 % ------ no equalities: superposition off
% 1.46/1.27
% 1.46/1.27 % ------ Option_epr_horn Time Limit: Unbounded
% 1.46/1.27
% 1.46/1.27
% 1.46/1.27 % ------
% 1.46/1.27 % Current options:
% 1.46/1.27 % ------
% 1.46/1.27
% 1.46/1.27
% 1.46/1.27 %
% 1.46/1.27
% 1.46/1.27 % ------ Proving...
% 1.46/1.27 %
% 1.46/1.27
% 1.46/1.27 % SZS status Theorem for theBenchmark.p
% 1.46/1.27
% 1.46/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.46/1.27
% 1.46/1.27
%------------------------------------------------------------------------------