TSTP Solution File: SEU098+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:03:42 EDT 2023
% Result : Theorem 3.78s 1.15s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 86 ( 20 unt; 0 def)
% Number of atoms : 248 ( 22 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 276 ( 114 ~; 113 |; 32 &)
% ( 3 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% 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 : 132 ( 4 sgn; 80 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( function(first_projection(X0,X1))
& relation(first_projection(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f63,axiom,
! [X0,X1] : first_projection(X0,X1) = first_projection_as_func_of(X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f66,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_funct_3) ).
fof(f67,axiom,
! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f69,axiom,
! [X0,X1] :
( ( finite(X1)
& finite(X0) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f73,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
<=> finite(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_finset_1) ).
fof(f74,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( finite(relation_dom(X0))
<=> finite(X0) ) ),
inference(negated_conjecture,[],[f73]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
| ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2) ),
inference(ennf_transformation,[],[f62]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
| ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [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)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f142,plain,
! [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)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f144,plain,
! [X0,X1] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f146,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f148,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(flattening,[],[f147]) ).
fof(f150,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f151,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f152,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
? [X0] :
( ( finite(relation_dom(X0))
<~> finite(X0) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f154,plain,
? [X0] :
( ( finite(relation_dom(X0))
<~> finite(X0) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f153]) ).
fof(f221,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(f222,plain,
? [X0] :
( ( ~ finite(X0)
| ~ finite(relation_dom(X0)) )
& ( finite(X0)
| finite(relation_dom(X0)) )
& function(X0)
& relation(X0) ),
inference(nnf_transformation,[],[f154]) ).
fof(f223,plain,
? [X0] :
( ( ~ finite(X0)
| ~ finite(relation_dom(X0)) )
& ( finite(X0)
| finite(relation_dom(X0)) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f222]) ).
fof(f224,plain,
( ? [X0] :
( ( ~ finite(X0)
| ~ finite(relation_dom(X0)) )
& ( finite(X0)
| finite(relation_dom(X0)) )
& function(X0)
& relation(X0) )
=> ( ( ~ finite(sK29)
| ~ finite(relation_dom(sK29)) )
& ( finite(sK29)
| finite(relation_dom(sK29)) )
& function(sK29)
& relation(sK29) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ( ~ finite(sK29)
| ~ finite(relation_dom(sK29)) )
& ( finite(sK29)
| finite(relation_dom(sK29)) )
& function(sK29)
& relation(sK29) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f223,f224]) ).
fof(f251,plain,
! [X0,X1] : relation(first_projection(X0,X1)),
inference(cnf_transformation,[],[f15]) ).
fof(f253,plain,
! [X0,X1] : function(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f16]) ).
fof(f254,plain,
! [X0,X1] : quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f255,plain,
! [X0,X1] : relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
| ~ relation_of2(X2,X0,X1)
| ~ quasi_total(X2,X0,X1)
| ~ function(X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f362,plain,
! [X0,X1] : first_projection(X0,X1) = first_projection_as_func_of(X0,X1),
inference(cnf_transformation,[],[f63]) ).
fof(f363,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f366,plain,
! [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)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f367,plain,
! [X0,X1] :
( finite(X0)
| ~ finite(X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f368,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f369,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X1)
| ~ finite(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f371,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f372,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f373,plain,
relation(sK29),
inference(cnf_transformation,[],[f225]) ).
fof(f374,plain,
function(sK29),
inference(cnf_transformation,[],[f225]) ).
fof(f375,plain,
( finite(sK29)
| finite(relation_dom(sK29)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f376,plain,
( ~ finite(sK29)
| ~ finite(relation_dom(sK29)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f386,plain,
! [X0,X1] : relation(first_projection_as_func_of(X0,X1)),
inference(definition_unfolding,[],[f251,f362]) ).
cnf(c_70,plain,
relation(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f386]) ).
cnf(c_71,plain,
relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f255]) ).
cnf(c_72,plain,
quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f254]) ).
cnf(c_73,plain,
function(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f253]) ).
cnf(c_179,plain,
( ~ relation_of2(X0,X1,X2)
| ~ quasi_total(X0,X1,X2)
| ~ function(X0)
| function_image(X1,X2,X0,X3) = relation_image(X0,X3) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_181,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf_transformation,[],[f363]) ).
cnf(c_183,plain,
( ~ 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(cnf_transformation,[],[f366]) ).
cnf(c_184,plain,
( ~ subset(X0,X1)
| ~ finite(X1)
| finite(X0) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_185,plain,
( ~ finite(X0)
| ~ function(X1)
| ~ relation(X1)
| finite(relation_image(X1,X0)) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_186,plain,
( ~ finite(X0)
| ~ finite(X1)
| finite(cartesian_product2(X1,X0)) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_188,plain,
( ~ relation(X0)
| subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_189,plain,
( ~ finite(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| finite(relation_rng(X0)) ),
inference(cnf_transformation,[],[f372]) ).
cnf(c_190,negated_conjecture,
( ~ finite(relation_dom(sK29))
| ~ finite(sK29) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_191,negated_conjecture,
( finite(relation_dom(sK29))
| finite(sK29) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_192,negated_conjecture,
function(sK29),
inference(cnf_transformation,[],[f374]) ).
cnf(c_193,negated_conjecture,
relation(sK29),
inference(cnf_transformation,[],[f373]) ).
cnf(c_258,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_181]) ).
cnf(c_537,plain,
( ~ quasi_total(X0,X1,X2)
| ~ relation_of2_as_subset(X0,X1,X2)
| ~ function(X0)
| function_image(X1,X2,X0,X3) = relation_image(X0,X3) ),
inference(bin_hyper_res,[status(thm)],[c_179,c_258]) ).
cnf(c_1016,plain,
( cartesian_product2(X0,X1) != X3
| first_projection_as_func_of(X0,X1) != X2
| X0 != X4
| ~ relation_of2_as_subset(X2,X3,X4)
| ~ function(X2)
| function_image(X3,X4,X2,X5) = relation_image(X2,X5) ),
inference(resolution_lifted,[status(thm)],[c_537,c_72]) ).
cnf(c_1017,plain,
( ~ relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
| ~ function(first_projection_as_func_of(X0,X1))
| 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(unflattening,[status(thm)],[c_1016]) ).
cnf(c_1019,plain,
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_73,c_71,c_1017]) ).
cnf(c_7221,plain,
( ~ function(X0)
| ~ relation(X0)
| relation_image(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) ),
inference(demodulation,[status(thm)],[c_183,c_1019]) ).
cnf(c_7329,plain,
( ~ relation(sK29)
| relation_image(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)),sK29) = relation_dom(sK29) ),
inference(superposition,[status(thm)],[c_192,c_7221]) ).
cnf(c_7330,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_7329,c_193,c_7329]) ).
cnf(c_7332,plain,
( ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ finite(sK29)
| finite(relation_dom(sK29)) ),
inference(superposition,[status(thm)],[c_7330,c_185]) ).
cnf(c_7333,plain,
( ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| finite(relation_dom(sK29)) ),
inference(global_subsumption_just,[status(thm)],[c_7332,c_191,c_7332]) ).
cnf(c_7334,plain,
( ~ function(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| finite(relation_dom(sK29)) ),
inference(renaming,[status(thm)],[c_7333]) ).
cnf(c_7695,plain,
( ~ relation(first_projection_as_func_of(relation_dom(sK29),relation_rng(sK29)))
| finite(relation_dom(sK29)) ),
inference(superposition,[status(thm)],[c_73,c_7334]) ).
cnf(c_7762,plain,
finite(relation_dom(sK29)),
inference(superposition,[status(thm)],[c_70,c_7695]) ).
cnf(c_9230,negated_conjecture,
finite(relation_dom(sK29)),
inference(global_subsumption_just,[status(thm)],[c_191,c_7762]) ).
cnf(c_9694,plain,
( ~ finite(cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0)
| finite(X0) ),
inference(resolution,[status(thm)],[c_184,c_188]) ).
cnf(c_9767,plain,
( ~ finite(relation_dom(X0))
| ~ finite(relation_rng(X0))
| ~ relation(X0)
| finite(X0) ),
inference(resolution,[status(thm)],[c_9694,c_186]) ).
cnf(c_9792,plain,
( ~ finite(relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| finite(X0) ),
inference(resolution,[status(thm)],[c_9767,c_189]) ).
cnf(c_9821,plain,
( ~ function(sK29)
| ~ relation(sK29)
| finite(sK29) ),
inference(resolution,[status(thm)],[c_9792,c_9230]) ).
cnf(c_9822,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_9821,c_7762,c_190,c_192,c_193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU098+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 13:17:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.78/1.15 % SZS status Started for theBenchmark.p
% 3.78/1.15 % SZS status Theorem for theBenchmark.p
% 3.78/1.15
% 3.78/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.78/1.15
% 3.78/1.15 ------ iProver source info
% 3.78/1.15
% 3.78/1.15 git: date: 2023-05-31 18:12:56 +0000
% 3.78/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.78/1.15 git: non_committed_changes: false
% 3.78/1.15 git: last_make_outside_of_git: false
% 3.78/1.15
% 3.78/1.15 ------ Parsing...
% 3.78/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.78/1.15
% 3.78/1.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 46 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e
% 3.78/1.15
% 3.78/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.78/1.15
% 3.78/1.15 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.78/1.15 ------ Proving...
% 3.78/1.15 ------ Problem Properties
% 3.78/1.15
% 3.78/1.15
% 3.78/1.15 clauses 95
% 3.78/1.15 conjectures 4
% 3.78/1.15 EPR 54
% 3.78/1.15 Horn 87
% 3.78/1.15 unary 58
% 3.78/1.15 binary 25
% 3.78/1.15 lits 146
% 3.78/1.15 lits eq 4
% 3.78/1.15 fd_pure 0
% 3.78/1.15 fd_pseudo 0
% 3.78/1.15 fd_cond 1
% 3.78/1.15 fd_pseudo_cond 1
% 3.78/1.15 AC symbols 0
% 3.78/1.15
% 3.78/1.15 ------ Input Options Time Limit: Unbounded
% 3.78/1.15
% 3.78/1.15
% 3.78/1.15 ------
% 3.78/1.15 Current options:
% 3.78/1.15 ------
% 3.78/1.15
% 3.78/1.15
% 3.78/1.15
% 3.78/1.15
% 3.78/1.15 ------ Proving...
% 3.78/1.15
% 3.78/1.15
% 3.78/1.15 % SZS status Theorem for theBenchmark.p
% 3.78/1.15
% 3.78/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.78/1.15
% 3.78/1.15
%------------------------------------------------------------------------------