%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU098+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:55:24 PM UTC 2026
% Result : Theorem 4.51s 1.91s
% Output : CNFRefutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 20 unt; 0 def)
% Number of atoms : 236 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 261 ( 110 ~; 109 |; 26 &)
% ( 3 <=>; 11 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 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 : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-4 aty)
% Number of variables : 131 ( 0 sgn 127 !; 4 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( function(first_projection(X0,X1))
& relation(first_projection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_3) ).
fof(f16,axiom,
! [X0,X1] :
( relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
& quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
& function(first_projection_as_func_of(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_funct_3) ).
fof(f62,axiom,
! [X0,X1,X2,X3] :
( ( relation_of2(X2,X0,X1)
& quasi_total(X2,X0,X1)
& function(X2) )
=> function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f63,axiom,
! [X0,X1] : first_projection_as_func_of(X0,X1) = first_projection(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_funct_3) ).
fof(f64,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f66,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_funct_3) ).
fof(f67,axiom,
! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f68,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f69,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_finset_1) ).
fof(f71,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f72,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f73,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
<=> finite(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_finset_1) ).
fof(f74,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
<=> finite(X0) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2)
| function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
inference(ennf_transformation,[],[f62]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2)
| function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f142,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ subset(X0,X1)
| finite(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f144,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ subset(X0,X1)
| finite(X0) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f146,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(cartesian_product2(X0,X1)) ),
inference(ennf_transformation,[],[f69]) ).
fof(f148,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(cartesian_product2(X0,X1)) ),
inference(flattening,[],[f147]) ).
fof(f150,plain,
! [X0] :
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(ennf_transformation,[],[f71]) ).
fof(f151,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ finite(relation_dom(X0))
| finite(relation_rng(X0)) ),
inference(ennf_transformation,[],[f72]) ).
fof(f152,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ finite(relation_dom(X0))
| finite(relation_rng(X0)) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( finite(relation_dom(X0))
<~> finite(X0) ) ),
inference(ennf_transformation,[],[f74]) ).
fof(f154,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( finite(relation_dom(X0))
<~> finite(X0) ) ),
inference(flattening,[],[f153]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) )
& ( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f193,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( finite(relation_dom(X0))
| finite(X0) )
& ( ~ finite(relation_dom(X0))
| ~ finite(X0) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f194,plain,
? [X0] :
( function(X0)
& relation(X0)
& ( finite(relation_dom(X0))
| finite(X0) )
& ( ~ finite(relation_dom(X0))
| ~ finite(X0) ) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
( function(sK29)
& relation(sK29)
& ( finite(relation_dom(sK29))
| finite(sK29) )
& ( ~ finite(relation_dom(sK29))
| ~ finite(sK29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X0,sK29)],[f194]) ).
fof(f222,plain,
! [X0,X1] : relation(first_projection(X0,X1)),
inference(cnf_transformation,[],[f15]) ).
fof(f223,plain,
! [X0,X1] : relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f224,plain,
! [X0,X1] : quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f225,plain,
! [X0,X1] : function(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f16]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2)
| function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f332,plain,
! [X0,X1] : first_projection(X0,X1) = first_projection_as_func_of(X0,X1),
inference(cnf_transformation,[],[f63]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f336,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| relation_dom(X0) = function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f337,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ subset(X0,X1)
| finite(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f338,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f339,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ finite(X0)
| finite(cartesian_product2(X0,X1)) ),
inference(cnf_transformation,[],[f148]) ).
fof(f341,plain,
! [X0] :
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(cnf_transformation,[],[f150]) ).
fof(f342,plain,
! [X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ finite(relation_dom(X0))
| finite(relation_rng(X0)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f343,plain,
function(sK29),
inference(cnf_transformation,[],[f195]) ).
fof(f344,plain,
relation(sK29),
inference(cnf_transformation,[],[f195]) ).
fof(f345,plain,
( finite(relation_dom(sK29))
| finite(sK29) ),
inference(cnf_transformation,[],[f195]) ).
fof(f346,plain,
( ~ finite(relation_dom(sK29))
| ~ finite(sK29) ),
inference(cnf_transformation,[],[f195]) ).
fof(f355,plain,
! [X0,X1] : relation(first_projection_as_func_of(X0,X1)),
inference(definition_unfolding,[],[f222,f332]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] : relation(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f355]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] : function(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f225]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f224]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f223]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( function_image(X1,X2,X0,X3) = relation_image(X0,X3) )
| ~ function(X0)
| ~ relation_of2(X0,X1,X2)
| ~ quasi_total(X0,X1,X2) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_183,plain,
! [X0: $i] :
( ( function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( finite(relation_image(X1,X0))
| ~ relation(X1)
| ~ function(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( finite(cartesian_product2(X1,X0))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_188,plain,
! [X0: $i] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_189,plain,
! [X0: $i] :
( finite(relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(relation_dom(X0)) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_190,negated_conjecture,
( ~ finite(sK29)
| ~ finite(relation_dom(sK29)) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_191,negated_conjecture,
( finite(sK29)
| finite(relation_dom(sK29)) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_192,negated_conjecture,
relation(sK29),
inference(cnf_transformation,[],[f344]) ).
tcf(c_193,negated_conjecture,
function(sK29),
inference(cnf_transformation,[],[f343]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i] :
( relation_of2(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_181]) ).
tcf(c_537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( function_image(X1,X2,X0,X3) = relation_image(X0,X3) )
| ~ function(X0)
| ~ relation_of2_as_subset(X0,X1,X2)
| ~ quasi_total(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_179,c_258]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( function_image(X3,X4,X2,X5) = relation_image(X2,X5) )
| ~ function(X2)
| ~ relation_of2_as_subset(X2,X3,X4)
| ( X0 != X4 )
| ( first_projection_as_func_of(X0,X1) != X2 )
| ( cartesian_product2(X0,X1) != X3 ) ),
inference(resolution_lifted,[status(thm)],[c_537,c_72]) ).
tcf(c_1017,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2) )
| ~ function(first_projection_as_func_of(X0,X1))
| ~ relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_1016]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i,X2: $i] : function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2),
inference(global_subsumption_just,[status(thm)],[c_1017,c_71,c_73,c_1017]) ).
tcf(c_4547,plain,
! [X0: $i] :
( ( relation_image(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) )
| ~ relation(X0)
| ~ function(X0) ),
inference(demodulation,[status(thm)],[c_183,c_1019]) ).
tcf(c_4649,plain,
( ( relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29) = relation_dom(sK29) )
| ~ relation(sK29) ),
inference(superposition,[status(thm)],[c_193,c_4547]) ).
tcf(c_4650,plain,
relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29) = relation_dom(sK29),
inference(global_subsumption_just,[status(thm)],[c_4649,c_192,c_4649]) ).
tcf(c_4654,plain,
( finite(relation_dom(sK29))
| ~ finite(sK29)
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29))) ),
inference(superposition,[status(thm)],[c_4650,c_185]) ).
tcf(c_4655,plain,
( finite(relation_dom(sK29))
| ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29))) ),
inference(global_subsumption_just,[status(thm)],[c_4654,c_191,c_4654]) ).
tcf(c_4656,plain,
( finite(relation_dom(sK29))
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29))) ),
inference(renaming,[status(thm)],[c_4655]) ).
tcf(c_5133,plain,
( finite(relation_dom(sK29))
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29))) ),
inference(superposition,[status(thm)],[c_71,c_4656]) ).
tcf(c_5229,plain,
finite(relation_dom(sK29)),
inference(superposition,[status(thm)],[c_69,c_5133]) ).
tcf(c_6473,negated_conjecture,
finite(relation_dom(sK29)),
inference(global_subsumption_just,[status(thm)],[c_191,c_5229]) ).
tcf(c_7005,plain,
! [X0: $i] :
( finite(X0)
| ~ relation(X0)
| ~ finite(cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(resolution,[status(thm)],[c_184,c_188]) ).
tcf(c_7170,plain,
! [X0: $i] :
( finite(X0)
| ~ relation(X0)
| ~ finite(relation_rng(X0))
| ~ finite(relation_dom(X0)) ),
inference(resolution,[status(thm)],[c_7005,c_186]) ).
tcf(c_7195,plain,
! [X0: $i] :
( finite(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ finite(relation_dom(X0)) ),
inference(resolution,[status(thm)],[c_7170,c_189]) ).
tcf(c_7227,plain,
( finite(sK29)
| ~ relation(sK29)
| ~ function(sK29) ),
inference(resolution,[status(thm)],[c_7195,c_6473]) ).
tcf(c_7228,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7227,c_5229,c_190,c_192,c_193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU098+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.44 % Computer : n005.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Thu Sep 24 12:44:32 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 0.21/0.52
% 0.21/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.52
% 0.21/0.52 % Detected problem language: tptp
% 0.21/0.53 % Proving...
% 4.51/1.91 % SZS status Started for theBenchmark.p
% 4.51/1.91 % SZS status Theorem for theBenchmark.p
% 4.51/1.91
% 4.51/1.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.51/1.91
% 4.51/1.91 % ------ iProver source info
% 4.51/1.91
% 4.51/1.91 % git: date: 2026-07-19 20:42:38 +0200
% 4.51/1.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.51/1.91 % git: non_committed_changes: false
% 4.51/1.91
% 4.51/1.91 % ------ Parsing...
% 4.51/1.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.51/1.91
% 4.51/1.91 % ------ Preprocessing... sup_sim: 0 sf_s rm: 46 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 4.51/1.91
% 4.51/1.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.51/1.91
% 4.51/1.91 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.51/1.91 % ------ Proving...
% 4.51/1.91 % ------ Problem Properties
% 4.51/1.91
% 4.51/1.91 %
% 4.51/1.91 % clauses 95
% 4.51/1.91 % conjectures 4
% 4.51/1.91 % EPR 54
% 4.51/1.91 % Horn 87
% 4.51/1.91 % unary 58
% 4.51/1.91 % binary 25
% 4.51/1.91 % lits 146
% 4.51/1.91 % lits eq 4
% 4.51/1.91 % fd_pure 0
% 4.51/1.91 % fd_pseudo 0
% 4.51/1.91 % fd_cond 1
% 4.51/1.91 % fd_pseudo_cond 1
% 4.51/1.91 % AC symbols 0
% 4.51/1.91
% 4.51/1.91 % ------ Input Options Time Limit: Unbounded
% 4.51/1.91
% 4.51/1.91
% 4.51/1.91 % ------
% 4.51/1.91 % Current options:
% 4.51/1.91 % ------
% 4.51/1.91
% 4.51/1.91
% 4.51/1.91 %
% 4.51/1.91
% 4.51/1.91 % ------ Proving...
% 4.51/1.91 %
% 4.51/1.91
% 4.51/1.91 % SZS status Theorem for theBenchmark.p
% 4.51/1.91
% 4.51/1.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.51/1.91
% 4.51/1.91
%------------------------------------------------------------------------------