TSTP Solution File: GRP619+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP619+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n021.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 : Wed Aug 31 16:23:03 EDT 2022
% Result : Theorem 1.72s 0.61s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 105 ( 21 unt; 0 def)
% Number of atoms : 346 ( 14 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 367 ( 126 ~; 152 |; 64 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 149 ( 143 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f790,plain,
$false,
inference(subsumption_resolution,[],[f789,f327]) ).
fof(f327,plain,
l1_group_1(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( v3_group_1(sK22)
& l1_group_1(sK22)
& ~ r1_tarski(k1_autgroup(sK22),k1_fraenkel(u1_struct_0(sK22),u1_struct_0(sK22)))
& v1_group_1(sK22)
& ~ v3_struct_0(sK22)
& v4_group_1(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f102,f219]) ).
fof(f219,plain,
( ? [X0] :
( v3_group_1(X0)
& l1_group_1(X0)
& ~ r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) )
=> ( v3_group_1(sK22)
& l1_group_1(sK22)
& ~ r1_tarski(k1_autgroup(sK22),k1_fraenkel(u1_struct_0(sK22),u1_struct_0(sK22)))
& v1_group_1(sK22)
& ~ v3_struct_0(sK22)
& v4_group_1(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0] :
( v3_group_1(X0)
& l1_group_1(X0)
& ~ r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& v1_group_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
? [X0] :
( ~ r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0)))
& l1_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> r1_tarski(k1_autgroup(X0),k1_fraenkel(u1_struct_0(X0),u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_autgroup) ).
fof(f789,plain,
~ l1_group_1(sK22),
inference(resolution,[],[f780,f253]) ).
fof(f253,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f780,plain,
~ l1_struct_0(sK22),
inference(subsumption_resolution,[],[f690,f222]) ).
fof(f222,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f690,plain,
( ~ l1_struct_0(sK22)
| ~ v1_xboole_0(k1_xboole_0) ),
inference(backward_demodulation,[],[f364,f681]) ).
fof(f681,plain,
k1_xboole_0 = sF24,
inference(resolution,[],[f674,f223]) ).
fof(f223,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f674,plain,
v1_xboole_0(sF24),
inference(subsumption_resolution,[],[f672,f332]) ).
fof(f332,plain,
~ r1_tarski(sF23,sF25),
inference(definition_folding,[],[f326,f331,f330,f330,f329]) ).
fof(f329,plain,
k1_autgroup(sK22) = sF23,
introduced(function_definition,[]) ).
fof(f330,plain,
sF24 = u1_struct_0(sK22),
introduced(function_definition,[]) ).
fof(f331,plain,
k1_fraenkel(sF24,sF24) = sF25,
introduced(function_definition,[]) ).
fof(f326,plain,
~ r1_tarski(k1_autgroup(sK22),k1_fraenkel(u1_struct_0(sK22),u1_struct_0(sK22))),
inference(cnf_transformation,[],[f220]) ).
fof(f672,plain,
( v1_xboole_0(sF24)
| r1_tarski(sF23,sF25) ),
inference(duplicate_literal_removal,[],[f665]) ).
fof(f665,plain,
( r1_tarski(sF23,sF25)
| r1_tarski(sF23,sF25)
| v1_xboole_0(sF24) ),
inference(resolution,[],[f664,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ r2_hidden(sK14(X0,X1),X0)
| r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( r1_tarski(X1,X0)
| ( r2_hidden(sK14(X0,X1),X1)
& ~ r2_hidden(sK14(X0,X1),X0) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
| ~ r1_tarski(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f192,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X2] :
( r2_hidden(X2,X1)
& ~ r2_hidden(X2,X0) )
=> ( r2_hidden(sK14(X0,X1),X1)
& ~ r2_hidden(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1] :
( ( r1_tarski(X1,X0)
| ? [X2] :
( r2_hidden(X2,X1)
& ~ r2_hidden(X2,X0) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
| ~ r1_tarski(X1,X0) ) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X1,X0] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) ) )
& ( ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X1,X0] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f664,plain,
! [X2] :
( r2_hidden(sK14(X2,sF23),sF25)
| v1_xboole_0(sF24)
| r1_tarski(sF23,X2) ),
inference(forward_demodulation,[],[f663,f331]) ).
fof(f663,plain,
! [X2] :
( v1_xboole_0(sF24)
| r1_tarski(sF23,X2)
| r2_hidden(sK14(X2,sF23),k1_fraenkel(sF24,sF24)) ),
inference(forward_demodulation,[],[f662,f424]) ).
fof(f424,plain,
! [X0] : k1_fraenkel(X0,sF24) = k1_funct_2(X0,sF24),
inference(subsumption_resolution,[],[f423,f327]) ).
fof(f423,plain,
! [X0] :
( k1_fraenkel(X0,sF24) = k1_funct_2(X0,sF24)
| ~ l1_group_1(sK22) ),
inference(resolution,[],[f420,f253]) ).
fof(f420,plain,
! [X29] :
( ~ l1_struct_0(sK22)
| k1_funct_2(X29,sF24) = k1_fraenkel(X29,sF24) ),
inference(resolution,[],[f308,f364]) ).
fof(f308,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| k1_funct_2(X1,X0) = k1_fraenkel(X1,X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| k1_funct_2(X1,X0) = k1_fraenkel(X1,X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ~ v1_xboole_0(X0)
=> k1_funct_2(X1,X0) = k1_fraenkel(X1,X0) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X1,X0] :
( ~ v1_xboole_0(X1)
=> k1_fraenkel(X0,X1) = k1_funct_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_fraenkel) ).
fof(f662,plain,
! [X2] :
( v1_xboole_0(sF24)
| r1_tarski(sF23,X2)
| r2_hidden(sK14(X2,sF23),k1_funct_2(sF24,sF24)) ),
inference(subsumption_resolution,[],[f661,f638]) ).
fof(f638,plain,
! [X0] :
( v1_funct_2(sK14(X0,sF23),sF24,sF24)
| r1_tarski(sF23,X0)
| v1_xboole_0(sF24) ),
inference(subsumption_resolution,[],[f637,f549]) ).
fof(f549,plain,
m1_fraenkel(sF23,sF24,sF24),
inference(forward_demodulation,[],[f548,f329]) ).
fof(f548,plain,
m1_fraenkel(k1_autgroup(sK22),sF24,sF24),
inference(forward_demodulation,[],[f547,f330]) ).
fof(f547,plain,
m1_fraenkel(k1_autgroup(sK22),u1_struct_0(sK22),u1_struct_0(sK22)),
inference(subsumption_resolution,[],[f546,f325]) ).
fof(f325,plain,
v1_group_1(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f546,plain,
( ~ v1_group_1(sK22)
| m1_fraenkel(k1_autgroup(sK22),u1_struct_0(sK22),u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f545,f327]) ).
fof(f545,plain,
( ~ l1_group_1(sK22)
| ~ v1_group_1(sK22)
| m1_fraenkel(k1_autgroup(sK22),u1_struct_0(sK22),u1_struct_0(sK22)) ),
inference(subsumption_resolution,[],[f544,f324]) ).
fof(f324,plain,
~ v3_struct_0(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f544,plain,
( m1_fraenkel(k1_autgroup(sK22),u1_struct_0(sK22),u1_struct_0(sK22))
| v3_struct_0(sK22)
| ~ l1_group_1(sK22)
| ~ v1_group_1(sK22) ),
inference(subsumption_resolution,[],[f542,f328]) ).
fof(f328,plain,
v3_group_1(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f542,plain,
( ~ v3_group_1(sK22)
| ~ l1_group_1(sK22)
| m1_fraenkel(k1_autgroup(sK22),u1_struct_0(sK22),u1_struct_0(sK22))
| ~ v1_group_1(sK22)
| v3_struct_0(sK22) ),
inference(resolution,[],[f297,f323]) ).
fof(f323,plain,
v4_group_1(sK22),
inference(cnf_transformation,[],[f220]) ).
fof(f297,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ v1_group_1(X0)
| ~ v4_group_1(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ v3_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v1_group_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( v3_group_1(X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v1_group_1(X0)
& ~ v3_struct_0(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f637,plain,
! [X0] :
( ~ m1_fraenkel(sF23,sF24,sF24)
| v1_funct_2(sK14(X0,sF23),sF24,sF24)
| v1_xboole_0(sF24)
| r1_tarski(sF23,X0) ),
inference(duplicate_literal_removal,[],[f630]) ).
fof(f630,plain,
! [X0] :
( v1_funct_2(sK14(X0,sF23),sF24,sF24)
| r1_tarski(sF23,X0)
| ~ m1_fraenkel(sF23,sF24,sF24)
| v1_xboole_0(sF24)
| v1_xboole_0(sF24) ),
inference(resolution,[],[f615,f300]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| v1_funct_2(X3,X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X0,X2,X1] :
( ! [X3] :
( ~ m2_fraenkel(X3,X0,X2,X1)
| ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X2)
& m2_relset_1(X3,X0,X2) ) )
| v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X0,X2) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ! [X3] :
( ~ m2_fraenkel(X3,X0,X2,X1)
| ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X2)
& m2_relset_1(X3,X0,X2) ) )
| v1_xboole_0(X2)
| ~ m1_fraenkel(X1,X0,X2) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ( ~ v1_xboole_0(X2)
& m1_fraenkel(X1,X0,X2) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X2,X1)
=> ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X2)
& m2_relset_1(X3,X0,X2) ) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X0,X2,X1] :
( ( m1_fraenkel(X2,X0,X1)
& ~ v1_xboole_0(X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
=> ( m2_relset_1(X3,X0,X1)
& v1_funct_2(X3,X0,X1)
& v1_funct_1(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_fraenkel) ).
fof(f615,plain,
! [X0] :
( m2_fraenkel(sK14(X0,sF23),sF24,sF24,sF23)
| v1_xboole_0(sF24)
| r1_tarski(sF23,X0) ),
inference(resolution,[],[f556,f274]) ).
fof(f274,plain,
! [X0,X1] :
( r2_hidden(sK14(X0,X1),X1)
| r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f556,plain,
! [X0] :
( ~ r2_hidden(X0,sF23)
| m2_fraenkel(X0,sF24,sF24,sF23)
| v1_xboole_0(sF24) ),
inference(resolution,[],[f554,f236]) ).
fof(f236,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X1,X0] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f554,plain,
! [X0] :
( ~ m1_subset_1(X0,sF23)
| v1_xboole_0(sF24)
| m2_fraenkel(X0,sF24,sF24,sF23) ),
inference(resolution,[],[f549,f294]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| m2_fraenkel(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) ) ),
inference(rectify,[],[f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0)
| ! [X3] :
( ( m2_fraenkel(X3,X2,X0,X1)
| ~ m1_subset_1(X3,X1) )
& ( m1_subset_1(X3,X1)
| ~ m2_fraenkel(X3,X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0)
| ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
<=> m1_subset_1(X3,X1) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X2,X1,X0] :
( ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
<=> m1_subset_1(X3,X1) )
| ~ m1_fraenkel(X1,X2,X0)
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X2,X1,X0] :
( ( m1_fraenkel(X1,X2,X0)
& ~ v1_xboole_0(X0) )
=> ! [X3] :
( m2_fraenkel(X3,X2,X0,X1)
<=> m1_subset_1(X3,X1) ) ),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X1,X2,X0] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f661,plain,
! [X2] :
( r2_hidden(sK14(X2,sF23),k1_funct_2(sF24,sF24))
| ~ v1_funct_2(sK14(X2,sF23),sF24,sF24)
| v1_xboole_0(sF24)
| r1_tarski(sF23,X2) ),
inference(subsumption_resolution,[],[f660,f640]) ).
fof(f640,plain,
! [X3] :
( v1_funct_1(sK14(X3,sF23))
| r1_tarski(sF23,X3)
| v1_xboole_0(sF24) ),
inference(subsumption_resolution,[],[f635,f549]) ).
fof(f635,plain,
! [X3] :
( v1_funct_1(sK14(X3,sF23))
| ~ m1_fraenkel(sF23,sF24,sF24)
| r1_tarski(sF23,X3)
| v1_xboole_0(sF24) ),
inference(duplicate_literal_removal,[],[f633]) ).
fof(f633,plain,
! [X3] :
( v1_xboole_0(sF24)
| v1_funct_1(sK14(X3,sF23))
| r1_tarski(sF23,X3)
| ~ m1_fraenkel(sF23,sF24,sF24)
| v1_xboole_0(sF24) ),
inference(resolution,[],[f615,f301]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| ~ m1_fraenkel(X2,X0,X1)
| v1_xboole_0(X1)
| v1_funct_1(X3) ),
inference(cnf_transformation,[],[f206]) ).
fof(f660,plain,
! [X2] :
( ~ v1_funct_1(sK14(X2,sF23))
| v1_xboole_0(sF24)
| ~ v1_funct_2(sK14(X2,sF23),sF24,sF24)
| r2_hidden(sK14(X2,sF23),k1_funct_2(sF24,sF24))
| r1_tarski(sF23,X2) ),
inference(resolution,[],[f641,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,X1,X1)
| r2_hidden(X0,k1_funct_2(X1,X1))
| ~ v1_funct_2(X0,X1,X1)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( r2_hidden(X0,k1_funct_2(X1,X1))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X1)
| ~ v1_funct_2(X0,X1,X1) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ v1_funct_1(X1)
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_2(X1,X0,X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( r2_hidden(X1,k1_funct_2(X0,X0))
| ~ m2_relset_1(X1,X0,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0,X1] :
( ( m2_relset_1(X1,X0,X0)
& v1_funct_1(X1)
& v1_funct_2(X1,X0,X0) )
=> r2_hidden(X1,k1_funct_2(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_funct_2) ).
fof(f641,plain,
! [X1] :
( m2_relset_1(sK14(X1,sF23),sF24,sF24)
| r1_tarski(sF23,X1)
| v1_xboole_0(sF24) ),
inference(subsumption_resolution,[],[f634,f549]) ).
fof(f634,plain,
! [X1] :
( m2_relset_1(sK14(X1,sF23),sF24,sF24)
| v1_xboole_0(sF24)
| r1_tarski(sF23,X1)
| ~ m1_fraenkel(sF23,sF24,sF24) ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f631,plain,
! [X1] :
( v1_xboole_0(sF24)
| m2_relset_1(sK14(X1,sF23),sF24,sF24)
| r1_tarski(sF23,X1)
| v1_xboole_0(sF24)
| ~ m1_fraenkel(sF23,sF24,sF24) ),
inference(resolution,[],[f615,f299]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1)
| m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f206]) ).
fof(f364,plain,
( ~ v1_xboole_0(sF24)
| ~ l1_struct_0(sK22) ),
inference(subsumption_resolution,[],[f363,f324]) ).
fof(f363,plain,
( ~ l1_struct_0(sK22)
| v3_struct_0(sK22)
| ~ v1_xboole_0(sF24) ),
inference(superposition,[],[f237,f330]) ).
fof(f237,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP619+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n021.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 : Mon Aug 29 22:31:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (8501)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (8495)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (8517)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (8496)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56 % (8511)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.56 % (8509)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.56 % (8503)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.56 % (8512)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.57 % (8504)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.57 % (8496)Instruction limit reached!
% 0.19/0.57 % (8496)------------------------------
% 0.19/0.57 % (8496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (8496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (8496)Termination reason: Unknown
% 0.19/0.57 % (8496)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (8496)Memory used [KB]: 5628
% 0.19/0.57 % (8496)Time elapsed: 0.127 s
% 0.19/0.57 % (8496)Instructions burned: 7 (million)
% 0.19/0.57 % (8496)------------------------------
% 0.19/0.57 % (8496)------------------------------
% 0.19/0.58 TRYING [3]
% 1.72/0.61 % (8498)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.61 % (8494)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.72/0.61 % (8497)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.72/0.61 % (8497)Instruction limit reached!
% 1.72/0.61 % (8497)------------------------------
% 1.72/0.61 % (8497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.61 % (8497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.61 % (8497)Termination reason: Unknown
% 1.72/0.61 % (8497)Termination phase: Preprocessing 3
% 1.72/0.61
% 1.72/0.61 % (8497)Memory used [KB]: 1023
% 1.72/0.61 % (8497)Time elapsed: 0.002 s
% 1.72/0.61 % (8497)Instructions burned: 2 (million)
% 1.72/0.61 % (8497)------------------------------
% 1.72/0.61 % (8497)------------------------------
% 1.72/0.61 % (8516)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.72/0.61 % (8490)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.72/0.61 % (8504)First to succeed.
% 1.72/0.61 % (8491)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.72/0.61 % (8504)Refutation found. Thanks to Tanya!
% 1.72/0.61 % SZS status Theorem for theBenchmark
% 1.72/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.62 % (8504)------------------------------
% 1.72/0.62 % (8504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.62 % (8504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.62 % (8504)Termination reason: Refutation
% 1.72/0.62
% 1.72/0.62 % (8504)Memory used [KB]: 1407
% 1.72/0.62 % (8504)Time elapsed: 0.177 s
% 1.72/0.62 % (8504)Instructions burned: 23 (million)
% 1.72/0.62 % (8504)------------------------------
% 1.72/0.62 % (8504)------------------------------
% 1.72/0.62 % (8488)Success in time 0.26 s
%------------------------------------------------------------------------------