%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU210+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 02:55:54 PM UTC 2026
% Result : Theorem 1.04s 11.10s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 69 ( 18 unt; 0 def)
% Number of atoms : 248 ( 50 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 300 ( 121 ~; 114 |; 49 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 173 ( 0 sgn 151 !; 22 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f16,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f30,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f32,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f133,conjecture,
! [X0,X1] :
( relation(X1)
=> ~ ( relation_inverse_image(X1,X0) = empty_set
& subset(X0,relation_rng(X1))
& X0 != empty_set ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t174_relat_1) ).
fof(f134,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ~ ( relation_inverse_image(X1,X0) = empty_set
& subset(X0,relation_rng(X1))
& X0 != empty_set ) ),
inference(negated_conjecture,[status(cth)],[f133]) ).
fof(f139,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f156,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f157,axiom,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),X2)
<=> ( in(X1,X2)
& in(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_zfmisc_1) ).
fof(f189,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f227,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f235,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f309,plain,
? [X0,X1] :
( relation(X1)
& relation_inverse_image(X1,X0) = empty_set
& subset(X0,relation_rng(X1))
& X0 != empty_set ),
inference(ennf_transformation,[],[f134]) ).
fof(f310,plain,
? [X0,X1] :
( relation(X1)
& relation_inverse_image(X1,X0) = empty_set
& subset(X0,relation_rng(X1))
& X0 != empty_set ),
inference(flattening,[],[f309]) ).
fof(f314,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(ennf_transformation,[],[f139]) ).
fof(f315,plain,
! [X0,X1,X2] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(flattening,[],[f314]) ).
fof(f398,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f399,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) ) )
& ( ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) )
| in(X6,X2) ) ) )
& ( ? [X3] :
( ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X3,X5),X0) ) )
& ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(rectify,[],[f398]) ).
fof(f400,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( relation_inverse_image(X0,X1) != X2
| ! [X6] :
( ( ~ in(X6,X2)
| ( in(sK11(X0,X1,X6),X1)
& in(ordered_pair(X6,sK11(X0,X1,X6)),X0) ) )
& ( ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) )
| in(X6,X2) ) ) )
& ( ( ( in(sK9(X0,X1,X2),X2)
| ( in(sK10(X0,X1,X2),X1)
& in(ordered_pair(sK9(X0,X1,X2),sK10(X0,X1,X2)),X0) ) )
& ( ~ in(sK9(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(sK9(X0,X1,X2),X4),X0) ) ) )
| X2 = relation_inverse_image(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X3,sK9(X0,X1,X2)),skolemize(X5,sK10(X0,X1,X2)),skolemize(X8,sK11(X0,X1,X6))],[f399]) ).
fof(f410,plain,
! [X0] :
( ( empty_set != X0
| ! [X1] : ~ in(X1,X0) )
& ( ? [X1] : in(X1,X0)
| X0 = empty_set ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f411,plain,
! [X0] :
( ( empty_set != X0
| ! [X2] : ~ in(X2,X0) )
& ( ? [X1] : in(X1,X0)
| X0 = empty_set ) ),
inference(rectify,[],[f410]) ).
fof(f412,plain,
! [X0] :
( ( empty_set != X0
| ! [X2] : ~ in(X2,X0) )
& ( in(sK19(X0),X0)
| X0 = empty_set ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X1,sK19(X0))],[f411]) ).
fof(f451,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X2] :
( ( ~ in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f452,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ? [X2] :
( ( in(X2,X1)
| ? [X4] : in(ordered_pair(X4,X2),X0) )
& ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(rectify,[],[f451]) ).
fof(f453,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) != X1
| ! [X5] :
( ( ~ in(X5,X1)
| in(ordered_pair(sK43(X0,X5),X5),X0) )
& ( ! [X6] : ~ in(ordered_pair(X6,X5),X0)
| in(X5,X1) ) ) )
& ( ( ( in(sK41(X0,X1),X1)
| in(ordered_pair(sK42(X0,X1),sK41(X0,X1)),X0) )
& ( ~ in(sK41(X0,X1),X1)
| ! [X3] : ~ in(ordered_pair(X3,sK41(X0,X1)),X0) ) )
| X1 = relation_rng(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42,sK43]),skolemize(X2,sK41(X0,X1)),skolemize(X4,sK42(X0,X1)),skolemize(X7,sK43(X0,X5))],[f452]) ).
fof(f490,plain,
( relation(sK63)
& empty_set = relation_inverse_image(sK63,sK62)
& subset(sK62,relation_rng(sK63))
& empty_set != sK62 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62,sK63]),skolemize(X0,sK62),skolemize(X1,sK63)],[f310]) ).
fof(f494,plain,
! [X0,X1] :
( ( ~ subset(singleton(X0),X1)
| in(X0,X1) )
& ( ~ in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f495,plain,
! [X0,X1,X2] :
( ( ~ subset(unordered_pair(X0,X1),X2)
| ( in(X1,X2)
& in(X0,X2) ) )
& ( ~ in(X1,X2)
| ~ in(X0,X2)
| subset(unordered_pair(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f157]) ).
fof(f496,plain,
! [X0,X1,X2] :
( ( ~ subset(unordered_pair(X0,X1),X2)
| ( in(X1,X2)
& in(X0,X2) ) )
& ( ~ in(X1,X2)
| ~ in(X0,X2)
| subset(unordered_pair(X0,X1),X2) ) ),
inference(flattening,[],[f495]) ).
fof(f547,plain,
! [X2,X0,X1,X6,X7] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0)
| in(X6,X2) ),
inference(cnf_transformation,[],[f400]) ).
fof(f566,plain,
! [X2,X0] :
( empty_set != X0
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f412]) ).
fof(f567,plain,
! [X0] :
( in(sK19(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f412]) ).
fof(f629,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(ordered_pair(sK43(X0,X5),X5),X0) ),
inference(cnf_transformation,[],[f453]) ).
fof(f634,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f760,plain,
relation(sK63),
inference(cnf_transformation,[],[f490]) ).
fof(f761,plain,
empty_set = relation_inverse_image(sK63,sK62),
inference(cnf_transformation,[],[f490]) ).
fof(f762,plain,
subset(sK62,relation_rng(sK63)),
inference(cnf_transformation,[],[f490]) ).
fof(f763,plain,
empty_set != sK62,
inference(cnf_transformation,[],[f490]) ).
fof(f768,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f315]) ).
fof(f793,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f494]) ).
fof(f794,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X0,X1),X2)
| in(X1,X2) ),
inference(cnf_transformation,[],[f496]) ).
fof(f839,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f189]) ).
fof(f868,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f634,f839]) ).
fof(f894,plain,
! [X2,X0,X1,X6,X7] :
( ~ relation(X0)
| relation_inverse_image(X0,X1) != X2
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
| in(X6,X2) ),
inference(definition_unfolding,[],[f547,f868]) ).
fof(f926,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| relation_rng(X0) != X1
| ~ in(X5,X1)
| in(unordered_pair(unordered_pair(sK43(X0,X5),X5),unordered_pair(sK43(X0,X5),sK43(X0,X5))),X0) ),
inference(definition_unfolding,[],[f629,f868]) ).
fof(f977,plain,
! [X0,X1] :
( ~ in(X0,X1)
| subset(unordered_pair(X0,X0),X1) ),
inference(definition_unfolding,[],[f793,f839]) ).
fof(f1010,plain,
! [X0,X1,X6,X7] :
( ~ relation(X0)
| ~ in(X7,X1)
| ~ in(unordered_pair(unordered_pair(X6,X7),unordered_pair(X6,X6)),X0)
| in(X6,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f894]) ).
fof(f1023,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f566]) ).
fof(f1053,plain,
! [X0,X5] :
( ~ relation(X0)
| ~ in(X5,relation_rng(X0))
| in(unordered_pair(unordered_pair(sK43(X0,X5),X5),unordered_pair(sK43(X0,X5),sK43(X0,X5))),X0) ),
inference(equality_resolution,[],[f926]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in(X0,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2) ),
inference(cnf_transformation,[],[f1010]) ).
tcf(c_103,plain,
! [X0: $i] :
( in(sK19(X0),X0)
| ( X0 = empty_set ) ),
inference(cnf_transformation,[],[f567]) ).
tcf(c_104,plain,
! [X0: $i] : ~ in(X0,empty_set),
inference(cnf_transformation,[],[f1023]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( in(unordered_pair(unordered_pair(sK43(X1,X0),X0),unordered_pair(sK43(X1,X0),sK43(X1,X0))),X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(cnf_transformation,[],[f1053]) ).
tcf(c_296,negated_conjecture,
empty_set != sK62,
inference(cnf_transformation,[],[f763]) ).
tcf(c_297,negated_conjecture,
subset(sK62,relation_rng(sK63)),
inference(cnf_transformation,[],[f762]) ).
tcf(c_298,negated_conjecture,
relation_inverse_image(sK63,sK62) = empty_set,
inference(cnf_transformation,[],[f761]) ).
tcf(c_299,negated_conjecture,
relation(sK63),
inference(cnf_transformation,[],[f760]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i] :
( subset(X2,X1)
| ~ subset(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f768]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] :
( subset(unordered_pair(X0,X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f977]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(X1,X2)
| ~ subset(unordered_pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f794]) ).
tcf(c_553,plain,
! [X0: $i] :
( subset(X0,relation_rng(sK63))
| ~ subset(X0,sK62) ),
inference(superposition,[status(thm)],[c_297,c_304]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i,X2: $i] :
( in(sK43(X1,X0),relation_inverse_image(X1,X2))
| ~ relation(X1)
| ~ in(X0,X2)
| ~ in(X0,relation_rng(X1)) ),
inference(superposition,[status(thm)],[c_169,c_85]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( in(X1,relation_rng(sK63))
| ~ subset(unordered_pair(X0,X1),sK62) ),
inference(superposition,[status(thm)],[c_553,c_332]) ).
tcf(c_1430,plain,
! [X0: $i] :
( in(sK43(sK63,X0),empty_set)
| ~ relation(sK63)
| ~ in(X0,sK62)
| ~ in(X0,relation_rng(sK63)) ),
inference(superposition,[status(thm)],[c_298,c_678]) ).
tcf(c_1892,plain,
! [X0: $i] :
( in(X0,relation_rng(sK63))
| ~ in(X0,sK62) ),
inference(superposition,[status(thm)],[c_328,c_871]) ).
tcf(c_4587,plain,
! [X0: $i] :
( in(sK43(sK63,X0),empty_set)
| ~ in(X0,sK62) ),
inference(global_subsumption_just,[status(thm)],[c_1430,c_299,c_1430,c_1892]) ).
tcf(c_4592,plain,
! [X0: $i] : ~ in(X0,sK62),
inference(forward_subsumption_resolution,[status(thm)],[c_4587,c_104]) ).
tcf(c_4593,plain,
empty_set = sK62,
inference(superposition,[status(thm)],[c_103,c_4592]) ).
tcf(c_4599,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_296,c_4593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU210+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.38 % Computer : n016.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Thu Sep 24 13:16:24 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.41 Running first-order theorem proving
% 0.15/10.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.42
% 0.15/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.42
% 0.15/10.43 % Detected problem language: tptp
% 0.15/10.44 % Proving...
% 1.04/11.10 % SZS status Started for theBenchmark.p
% 1.04/11.10 % SZS status Theorem for theBenchmark.p
% 1.04/11.10
% 1.04/11.10 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.04/11.10
% 1.04/11.10 % ------ iProver source info
% 1.04/11.10
% 1.04/11.10 % git: date: 2026-07-19 20:42:38 +0200
% 1.04/11.10 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.04/11.10 % git: non_committed_changes: false
% 1.04/11.10
% 1.04/11.10 % ------ Parsing...
% 1.04/11.10 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.04/11.10 % ------ Proving...
% 1.04/11.10 % ------ Problem Properties
% 1.04/11.10
% 1.04/11.10 %
% 1.04/11.10 % clauses 353
% 1.04/11.10 % conjectures 4
% 1.04/11.10 % EPR 38
% 1.04/11.10 % Horn 287
% 1.04/11.10 % unary 61
% 1.04/11.10 % binary 114
% 1.04/11.10 % lits 930
% 1.04/11.10 % lits eq 175
% 1.04/11.10 % fd_pure 0
% 1.04/11.10 % fd_pseudo 0
% 1.04/11.10 % fd_cond 13
% 1.04/11.10 % fd_pseudo_cond 69
% 1.04/11.10 % AC symbols 0
% 1.04/11.10
% 1.04/11.10 % ------ Input Options Time Limit: Unbounded
% 1.04/11.10
% 1.04/11.10
% 1.04/11.10 % ------
% 1.04/11.10 % Current options:
% 1.04/11.10 % ------
% 1.04/11.10
% 1.04/11.10
% 1.04/11.10 %
% 1.04/11.10
% 1.04/11.10 % ------ Proving...
% 1.04/11.10 %
% 1.04/11.10
% 1.04/11.10 % SZS status Theorem for theBenchmark.p
% 1.04/11.10
% 1.04/11.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.04/11.10
% 1.04/11.10
%------------------------------------------------------------------------------