%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN411+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 : n014.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 0.45s 11.29s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 20 ~; 13 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 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; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 69 ( 0 sgn 51 !; 18 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0,X1,X2] : f(X0,X1,X2)
<=> ~ ? [X3,X4,X5] : ~ f(X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish250) ).
fof(f2,negated_conjecture,
~ ( ! [X0,X1,X2] : f(X0,X1,X2)
<=> ~ ? [X3,X4,X5] : ~ f(X3,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0,X1,X2] : f(X0,X1,X2)
<~> ! [X3,X4,X5] : f(X3,X4,X5) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ( ! [X0,X1,X2] : f(X0,X1,X2)
| ! [X3,X4,X5] : f(X3,X4,X5) )
& ( ? [X0,X1,X2] : ~ f(X0,X1,X2)
| ? [X3,X4,X5] : ~ f(X3,X4,X5) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ! [X9,X10,X11] : f(X9,X10,X11)
| ! [X6,X7,X8] : f(X6,X7,X8) )
& ( ? [X3,X4,X5] : ~ f(X3,X4,X5)
| ? [X0,X1,X2] : ~ f(X0,X1,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
( ( ! [X9,X10,X11] : f(X9,X10,X11)
| ! [X6,X7,X8] : f(X6,X7,X8) )
& ( ~ f(sK3,sK4,sK5)
| ~ f(sK0,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f5]) ).
fof(f7,plain,
! [X10,X11,X8,X6,X9,X7] :
( f(X9,X10,X11)
| f(X6,X7,X8) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
( ~ f(sK3,sK4,sK5)
| ~ f(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_49,negated_conjecture,
( ~ f(sK3,sK4,sK5)
| ~ f(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( f(X3,X4,X5)
| f(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_60,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_10
| f(X0,X1,X2) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_50]) ).
tcf(c_61,negated_conjecture,
iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_50]) ).
tcf(c_62,negated_conjecture,
iPr_def_10,
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( f(X0,X1,X2)
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_65,negated_conjecture,
( ~ f(sK3,sK4,sK5)
| ~ f(sK0,sK1,sK2) ),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_68,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] : f(X0,X1,X2),
inference(global_subsumption_just,[status(thm)],[c_64,c_62,c_64]) ).
tcf(c_70,plain,
~ f(sK3,sK4,sK5),
inference(resolution,[status(thm)],[c_65,c_68]) ).
tcf(c_71,plain,
$false,
inference(resolution,[status(thm)],[c_70,c_68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN411+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.38 % Computer : n014.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Fri Sep 25 01:05:58 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.42 Running first-order theorem proving
% 0.15/10.42 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
% 0.15/10.43
% 0.15/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.43
% 0.15/10.44 % Detected problem language: tptp
% 0.15/10.45 % Proving...
% 0.45/11.29 % SZS status Started for theBenchmark.p
% 0.45/11.29 % SZS status Theorem for theBenchmark.p
% 0.45/11.29
% 0.45/11.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.45/11.29
% 0.45/11.29 % ------ iProver source info
% 0.45/11.29
% 0.45/11.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.45/11.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.45/11.29 % git: non_committed_changes: false
% 0.45/11.29
% 0.45/11.29 % ------ Parsing...
% 0.45/11.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.45/11.29 %
% 0.45/11.29
% 0.45/11.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.45/11.29
% 0.45/11.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.45/11.29 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/11.29 % ------ Proving...
% 0.45/11.29 % ------ Problem Properties
% 0.45/11.29
% 0.45/11.29 %
% 0.45/11.29 % clauses 3
% 0.45/11.29 % conjectures 3
% 0.45/11.29 % EPR 3
% 0.45/11.29 % Horn 3
% 0.45/11.29 % unary 1
% 0.45/11.29 % binary 2
% 0.45/11.29 % lits 5
% 0.45/11.29 % lits eq 0
% 0.45/11.29 % fd_pure 0
% 0.45/11.29 % fd_pseudo 0
% 0.45/11.29 % fd_cond 0
% 0.45/11.29 % fd_pseudo_cond 0
% 0.45/11.29 % AC symbols 0
% 0.45/11.29
% 0.45/11.29 % ------ Schedule EPR Horn non eq is on
% 0.45/11.29
% 0.45/11.29 % ------ no equalities: superposition off
% 0.45/11.29
% 0.45/11.29 % ------ Option_epr_horn Time Limit: Unbounded
% 0.45/11.29
% 0.45/11.29
% 0.45/11.29 % ------
% 0.45/11.29 % Current options:
% 0.45/11.29 % ------
% 0.45/11.29
% 0.45/11.29
% 0.45/11.29 %
% 0.45/11.29
% 0.45/11.29 % ------ Proving...
% 0.45/11.29 %
% 0.45/11.29
% 0.45/11.29 % SZS status Theorem for theBenchmark.p
% 0.45/11.29
% 0.45/11.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/11.29
% 0.45/11.29
%------------------------------------------------------------------------------