TSTP Solution File: HAL002+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n004.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 16:24:17 EDT 2022
% Result : Theorem 2.60s 0.76s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 137 ( 4 unt; 0 def)
% Number of atoms : 439 ( 128 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 464 ( 162 ~; 205 |; 59 &)
% ( 7 <=>; 30 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 245 ( 233 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2894,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f141,f333,f2428,f2700,f2832,f2889]) ).
fof(f2889,plain,
( spl9_2
| ~ spl9_91 ),
inference(avatar_contradiction_clause,[],[f2888]) ).
fof(f2888,plain,
( $false
| spl9_2
| ~ spl9_91 ),
inference(subsumption_resolution,[],[f2887,f2841]) ).
fof(f2841,plain,
( sK6(x,any1,any2) != zero(any1)
| spl9_2 ),
inference(subsumption_resolution,[],[f156,f139]) ).
fof(f139,plain,
( ~ injection_2(x)
| spl9_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl9_2
<=> injection_2(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f156,plain,
( sK6(x,any1,any2) != zero(any1)
| injection_2(x) ),
inference(resolution,[],[f113,f125]) ).
fof(f125,plain,
morphism(x,any1,any2),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
morphism(x,any1,any2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_morphism) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ morphism(X0,X1,X2)
| zero(X1) != sK6(X0,X1,X2)
| injection_2(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( element(sK6(X0,X1,X2),X1)
& zero(X2) = apply(X0,sK6(X0,X1,X2))
& zero(X1) != sK6(X0,X1,X2) )
| ~ morphism(X0,X1,X2)
| injection_2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,X1)
& apply(X0,X3) = zero(X2)
& zero(X1) != X3 )
=> ( element(sK6(X0,X1,X2),X1)
& zero(X2) = apply(X0,sK6(X0,X1,X2))
& zero(X1) != sK6(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,X1)
& apply(X0,X3) = zero(X2)
& zero(X1) != X3 )
| ~ morphism(X0,X1,X2)
| injection_2(X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( ? [X3] :
( element(X3,X1)
& apply(X2,X3) = zero(X0)
& zero(X1) != X3 )
| ~ morphism(X2,X1,X0)
| injection_2(X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( injection_2(X2)
| ~ morphism(X2,X1,X0)
| ? [X3] :
( zero(X1) != X3
& apply(X2,X3) = zero(X0)
& element(X3,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X2,X1,X0] :
( ( morphism(X2,X1,X0)
& ! [X3] :
( ( apply(X2,X3) = zero(X0)
& element(X3,X1) )
=> zero(X1) = X3 ) )
=> injection_2(X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X2,X1,X0] :
( ( ! [X3] :
( ( element(X3,X1)
& apply(X0,X3) = zero(X2) )
=> zero(X1) = X3 )
& morphism(X0,X1,X2) )
=> injection_2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_injection_2) ).
fof(f2887,plain,
( sK6(x,any1,any2) = zero(any1)
| spl9_2
| ~ spl9_91 ),
inference(subsumption_resolution,[],[f2880,f148]) ).
fof(f148,plain,
apply(x,zero(any1)) = zero(any2),
inference(resolution,[],[f116,f125]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ morphism(X0,X1,X2)
| apply(X0,zero(X1)) = zero(X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ morphism(X0,X1,X2)
| ( ! [X3] :
( ~ element(X3,X1)
| element(apply(X0,X3),X2) )
& apply(X0,zero(X1)) = zero(X2) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0,X2] :
( ~ morphism(X1,X0,X2)
| ( ! [X3] :
( ~ element(X3,X0)
| element(apply(X1,X3),X2) )
& zero(X2) = apply(X1,zero(X0)) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X2,X1] :
( morphism(X1,X0,X2)
=> ( ! [X3] :
( element(X3,X0)
=> element(apply(X1,X3),X2) )
& zero(X2) = apply(X1,zero(X0)) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0,X2] :
( morphism(X0,X1,X2)
=> ( apply(X0,zero(X1)) = zero(X2)
& ! [X3] :
( element(X3,X1)
=> element(apply(X0,X3),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',morphism) ).
fof(f2880,plain,
( apply(x,zero(any1)) != zero(any2)
| sK6(x,any1,any2) = zero(any1)
| spl9_2
| ~ spl9_91 ),
inference(resolution,[],[f2873,f2862]) ).
fof(f2862,plain,
( ! [X0] :
( ~ element(X0,any1)
| apply(x,X0) != zero(any2)
| sK6(x,any1,any2) = X0 )
| spl9_2
| ~ spl9_91 ),
inference(forward_demodulation,[],[f2861,f2840]) ).
fof(f2840,plain,
( zero(any2) = apply(x,sK6(x,any1,any2))
| spl9_2 ),
inference(subsumption_resolution,[],[f169,f139]) ).
fof(f169,plain,
( zero(any2) = apply(x,sK6(x,any1,any2))
| injection_2(x) ),
inference(resolution,[],[f114,f125]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ morphism(X0,X1,X2)
| injection_2(X0)
| zero(X2) = apply(X0,sK6(X0,X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f2861,plain,
( ! [X0] :
( sK6(x,any1,any2) = X0
| apply(x,X0) != apply(x,sK6(x,any1,any2))
| ~ element(X0,any1) )
| spl9_2
| ~ spl9_91 ),
inference(resolution,[],[f2831,f2844]) ).
fof(f2844,plain,
( element(sK6(x,any1,any2),any1)
| spl9_2 ),
inference(subsumption_resolution,[],[f149,f139]) ).
fof(f149,plain,
( element(sK6(x,any1,any2),any1)
| injection_2(x) ),
inference(resolution,[],[f115,f125]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ morphism(X0,X1,X2)
| injection_2(X0)
| element(sK6(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f2831,plain,
( ! [X0,X1] :
( ~ element(X0,any1)
| ~ element(X1,any1)
| X0 = X1
| apply(x,X0) != apply(x,X1) )
| ~ spl9_91 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2830,plain,
( spl9_91
<=> ! [X0,X1] :
( ~ element(X0,any1)
| X0 = X1
| ~ element(X1,any1)
| apply(x,X0) != apply(x,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_91])]) ).
fof(f2873,plain,
( element(zero(any1),any1)
| spl9_2 ),
inference(forward_demodulation,[],[f2872,f2857]) ).
fof(f2857,plain,
( subtract(any1,sK6(x,any1,any2),sK6(x,any1,any2)) = zero(any1)
| spl9_2 ),
inference(resolution,[],[f2844,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ element(X0,X1)
| zero(X1) = subtract(X1,X0,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( zero(X1) = subtract(X1,X0,X0)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( element(X0,X1)
=> zero(X1) = subtract(X1,X0,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X3,X1] :
( element(X3,X1)
=> zero(X1) = subtract(X1,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_to_0) ).
fof(f2872,plain,
( element(subtract(any1,sK6(x,any1,any2),sK6(x,any1,any2)),any1)
| spl9_2 ),
inference(resolution,[],[f2856,f2844]) ).
fof(f2856,plain,
( ! [X2] :
( ~ element(X2,any1)
| element(subtract(any1,sK6(x,any1,any2),X2),any1) )
| spl9_2 ),
inference(resolution,[],[f2844,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ element(X1,X2)
| element(subtract(X2,X1,X0),X2)
| ~ element(X0,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ element(X0,X2)
| element(subtract(X2,X1,X0),X2)
| ~ element(X1,X2) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0,X2,X1] :
( ~ element(X0,X1)
| element(subtract(X1,X2,X0),X1)
| ~ element(X2,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( element(subtract(X1,X2,X0),X1)
| ~ element(X0,X1)
| ~ element(X2,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( element(X0,X1)
& element(X2,X1) )
=> element(subtract(X1,X2,X0),X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X5,X1,X4] :
( ( element(X4,X1)
& element(X5,X1) )
=> element(subtract(X1,X4,X5),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_in_domain) ).
fof(f2832,plain,
( spl9_91
| ~ spl9_1 ),
inference(avatar_split_clause,[],[f249,f133,f2830]) ).
fof(f133,plain,
( spl9_1
<=> injection(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f249,plain,
! [X0,X1] :
( ~ injection(x)
| ~ element(X0,any1)
| apply(x,X0) != apply(x,X1)
| ~ element(X1,any1)
| X0 = X1 ),
inference(resolution,[],[f119,f125]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X1,X2,X0)
| ~ element(X3,X2)
| X3 = X4
| ~ element(X4,X2)
| ~ injection(X1)
| apply(X1,X3) != apply(X1,X4) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( X3 = X4
| apply(X1,X3) != apply(X1,X4)
| ~ element(X3,X2)
| ~ element(X4,X2) )
| ~ morphism(X1,X2,X0)
| ~ injection(X1) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ! [X4,X3] :
( X3 = X4
| apply(X1,X3) != apply(X1,X4)
| ~ element(X4,X2)
| ~ element(X3,X2) )
| ~ morphism(X1,X2,X0)
| ~ injection(X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X2,X1] :
( ! [X4,X3] :
( X3 = X4
| apply(X1,X3) != apply(X1,X4)
| ~ element(X3,X2)
| ~ element(X4,X2) )
| ~ morphism(X1,X2,X0)
| ~ injection(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( morphism(X1,X2,X0)
& injection(X1) )
=> ! [X4,X3] :
( ( apply(X1,X3) = apply(X1,X4)
& element(X3,X2)
& element(X4,X2) )
=> X3 = X4 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ( morphism(X0,X1,X2)
& injection(X0) )
=> ! [X5,X4] :
( ( element(X4,X1)
& apply(X0,X4) = apply(X0,X5)
& element(X5,X1) )
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injection_properties) ).
fof(f2700,plain,
( spl9_1
| ~ spl9_20 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2699,plain,
( $false
| spl9_1
| ~ spl9_20 ),
inference(subsumption_resolution,[],[f2698,f152]) ).
fof(f152,plain,
( sK2(any1,x) != sK3(any1,x)
| spl9_1 ),
inference(subsumption_resolution,[],[f151,f135]) ).
fof(f135,plain,
( ~ injection(x)
| spl9_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f151,plain,
( injection(x)
| sK2(any1,x) != sK3(any1,x) ),
inference(resolution,[],[f100,f125]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ morphism(X2,X0,X1)
| injection(X2)
| sK2(X0,X2) != sK3(X0,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( injection(X2)
| ~ morphism(X2,X0,X1)
| ( element(sK2(X0,X2),X0)
& apply(X2,sK3(X0,X2)) = apply(X2,sK2(X0,X2))
& element(sK3(X0,X2),X0)
& sK2(X0,X2) != sK3(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f68,f69]) ).
fof(f69,plain,
! [X0,X2] :
( ? [X3,X4] :
( element(X3,X0)
& apply(X2,X3) = apply(X2,X4)
& element(X4,X0)
& X3 != X4 )
=> ( element(sK2(X0,X2),X0)
& apply(X2,sK3(X0,X2)) = apply(X2,sK2(X0,X2))
& element(sK3(X0,X2),X0)
& sK2(X0,X2) != sK3(X0,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1,X2] :
( injection(X2)
| ~ morphism(X2,X0,X1)
| ? [X3,X4] :
( element(X3,X0)
& apply(X2,X3) = apply(X2,X4)
& element(X4,X0)
& X3 != X4 ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] :
( injection(X1)
| ~ morphism(X1,X0,X2)
| ? [X4,X3] :
( element(X4,X0)
& apply(X1,X3) = apply(X1,X4)
& element(X3,X0)
& X3 != X4 ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0,X2] :
( injection(X1)
| ? [X4,X3] :
( X3 != X4
& element(X4,X0)
& apply(X1,X3) = apply(X1,X4)
& element(X3,X0) )
| ~ morphism(X1,X0,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( ! [X4,X3] :
( ( element(X4,X0)
& apply(X1,X3) = apply(X1,X4)
& element(X3,X0) )
=> X3 = X4 )
& morphism(X1,X0,X2) )
=> injection(X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0,X2] :
( ( morphism(X0,X1,X2)
& ! [X4,X5] :
( ( element(X4,X1)
& apply(X0,X4) = apply(X0,X5)
& element(X5,X1) )
=> X4 = X5 ) )
=> injection(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_injection) ).
fof(f2698,plain,
( sK2(any1,x) = sK3(any1,x)
| spl9_1
| ~ spl9_20 ),
inference(forward_demodulation,[],[f2493,f967]) ).
fof(f967,plain,
( sK2(any1,x) = subtract(any1,sK2(any1,x),zero(any1))
| spl9_1 ),
inference(forward_demodulation,[],[f964,f147]) ).
fof(f147,plain,
( subtract(any1,sK2(any1,x),sK2(any1,x)) = zero(any1)
| spl9_1 ),
inference(resolution,[],[f120,f145]) ).
fof(f145,plain,
( element(sK2(any1,x),any1)
| spl9_1 ),
inference(subsumption_resolution,[],[f144,f135]) ).
fof(f144,plain,
( element(sK2(any1,x),any1)
| injection(x) ),
inference(resolution,[],[f103,f125]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ morphism(X2,X0,X1)
| injection(X2)
| element(sK2(X0,X2),X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f964,plain,
( sK2(any1,x) = subtract(any1,sK2(any1,x),subtract(any1,sK2(any1,x),sK2(any1,x)))
| spl9_1 ),
inference(resolution,[],[f342,f145]) ).
fof(f342,plain,
( ! [X7] :
( ~ element(X7,any1)
| subtract(any1,sK2(any1,x),subtract(any1,sK2(any1,x),X7)) = X7 )
| spl9_1 ),
inference(resolution,[],[f118,f145]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ element(X1,X0)
| ~ element(X2,X0)
| subtract(X0,X1,subtract(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ element(X2,X0)
| ~ element(X1,X0)
| subtract(X0,X1,subtract(X0,X1,X2)) = X2 ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X2,X0] :
( ~ element(X0,X1)
| ~ element(X2,X1)
| subtract(X1,X2,subtract(X1,X2,X0)) = X0 ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( subtract(X1,X2,subtract(X1,X2,X0)) = X0
| ~ element(X0,X1)
| ~ element(X2,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X2,X1,X0] :
( ( element(X0,X1)
& element(X2,X1) )
=> subtract(X1,X2,subtract(X1,X2,X0)) = X0 ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X1,X4] :
( ( element(X4,X1)
& element(X5,X1) )
=> subtract(X1,X4,subtract(X1,X4,X5)) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_cancellation) ).
fof(f2493,plain,
( sK3(any1,x) = subtract(any1,sK2(any1,x),zero(any1))
| spl9_1
| ~ spl9_20 ),
inference(backward_demodulation,[],[f965,f332]) ).
fof(f332,plain,
( subtract(any1,sK2(any1,x),sK3(any1,x)) = zero(any1)
| ~ spl9_20 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl9_20
<=> subtract(any1,sK2(any1,x),sK3(any1,x)) = zero(any1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_20])]) ).
fof(f965,plain,
( subtract(any1,sK2(any1,x),subtract(any1,sK2(any1,x),sK3(any1,x))) = sK3(any1,x)
| spl9_1 ),
inference(resolution,[],[f342,f143]) ).
fof(f143,plain,
( element(sK3(any1,x),any1)
| spl9_1 ),
inference(subsumption_resolution,[],[f142,f135]) ).
fof(f142,plain,
( element(sK3(any1,x),any1)
| injection(x) ),
inference(resolution,[],[f101,f125]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ morphism(X2,X0,X1)
| element(sK3(X0,X2),X0)
| injection(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f2428,plain,
( spl9_19
| spl9_1 ),
inference(avatar_split_clause,[],[f2401,f133,f326]) ).
fof(f326,plain,
( spl9_19
<=> apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))) = zero(any2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_19])]) ).
fof(f2401,plain,
( apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))) = zero(any2)
| spl9_1 ),
inference(forward_demodulation,[],[f2399,f157]) ).
fof(f157,plain,
( zero(any2) = subtract(any2,apply(x,sK2(any1,x)),apply(x,sK2(any1,x)))
| spl9_1 ),
inference(resolution,[],[f154,f120]) ).
fof(f154,plain,
( element(apply(x,sK2(any1,x)),any2)
| spl9_1 ),
inference(resolution,[],[f150,f145]) ).
fof(f150,plain,
! [X0] :
( ~ element(X0,any1)
| element(apply(x,X0),any2) ),
inference(resolution,[],[f117,f125]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X0,X1,X2)
| ~ element(X3,X1)
| element(apply(X0,X3),X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f2399,plain,
( apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))) = subtract(any2,apply(x,sK2(any1,x)),apply(x,sK2(any1,x)))
| spl9_1 ),
inference(backward_demodulation,[],[f1582,f2398]) ).
fof(f2398,plain,
( apply(x,sK2(any1,x)) = subtract(any2,apply(x,sK2(any1,x)),apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))))
| spl9_1 ),
inference(forward_demodulation,[],[f2397,f176]) ).
fof(f176,plain,
( apply(x,sK2(any1,x)) = apply(x,sK3(any1,x))
| spl9_1 ),
inference(subsumption_resolution,[],[f175,f135]) ).
fof(f175,plain,
( injection(x)
| apply(x,sK2(any1,x)) = apply(x,sK3(any1,x)) ),
inference(resolution,[],[f102,f125]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ morphism(X2,X0,X1)
| apply(X2,sK3(X0,X2)) = apply(X2,sK2(X0,X2))
| injection(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f2397,plain,
( subtract(any2,apply(x,sK2(any1,x)),apply(x,subtract(any1,sK2(any1,x),sK3(any1,x)))) = apply(x,sK3(any1,x))
| spl9_1 ),
inference(forward_demodulation,[],[f2357,f965]) ).
fof(f2357,plain,
( apply(x,subtract(any1,sK2(any1,x),subtract(any1,sK2(any1,x),sK3(any1,x)))) = subtract(any2,apply(x,sK2(any1,x)),apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))))
| spl9_1 ),
inference(resolution,[],[f1713,f229]) ).
fof(f229,plain,
( element(subtract(any1,sK2(any1,x),sK3(any1,x)),any1)
| spl9_1 ),
inference(resolution,[],[f171,f143]) ).
fof(f171,plain,
( ! [X1] :
( ~ element(X1,any1)
| element(subtract(any1,sK2(any1,x),X1),any1) )
| spl9_1 ),
inference(resolution,[],[f121,f145]) ).
fof(f1713,plain,
( ! [X22] :
( ~ element(X22,any1)
| apply(x,subtract(any1,sK2(any1,x),X22)) = subtract(any2,apply(x,sK2(any1,x)),apply(x,X22)) )
| spl9_1 ),
inference(resolution,[],[f665,f145]) ).
fof(f665,plain,
! [X0,X1] :
( ~ element(X1,any1)
| ~ element(X0,any1)
| apply(x,subtract(any1,X1,X0)) = subtract(any2,apply(x,X1),apply(x,X0)) ),
inference(resolution,[],[f112,f125]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X2,X1,X0)
| ~ element(X4,X1)
| subtract(X0,apply(X2,X3),apply(X2,X4)) = apply(X2,subtract(X1,X3,X4))
| ~ element(X3,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( subtract(X0,apply(X2,X3),apply(X2,X4)) = apply(X2,subtract(X1,X3,X4))
| ~ element(X3,X1)
| ~ element(X4,X1) )
| ~ morphism(X2,X1,X0) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ! [X4,X3] :
( apply(X2,subtract(X1,X4,X3)) = subtract(X0,apply(X2,X4),apply(X2,X3))
| ~ element(X4,X1)
| ~ element(X3,X1) )
| ~ morphism(X2,X1,X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X2,X1] :
( ! [X3,X4] :
( apply(X2,subtract(X1,X4,X3)) = subtract(X0,apply(X2,X4),apply(X2,X3))
| ~ element(X4,X1)
| ~ element(X3,X1) )
| ~ morphism(X2,X1,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X1] :
( morphism(X2,X1,X0)
=> ! [X3,X4] :
( ( element(X4,X1)
& element(X3,X1) )
=> apply(X2,subtract(X1,X4,X3)) = subtract(X0,apply(X2,X4),apply(X2,X3)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X1,X0] :
( morphism(X0,X1,X2)
=> ! [X5,X4] :
( ( element(X5,X1)
& element(X4,X1) )
=> apply(X0,subtract(X1,X4,X5)) = subtract(X2,apply(X0,X4),apply(X0,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_distribution) ).
fof(f1582,plain,
( subtract(any2,apply(x,sK2(any1,x)),subtract(any2,apply(x,sK2(any1,x)),apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))))) = apply(x,subtract(any1,sK2(any1,x),sK3(any1,x)))
| spl9_1 ),
inference(resolution,[],[f344,f240]) ).
fof(f240,plain,
( element(apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))),any2)
| spl9_1 ),
inference(resolution,[],[f229,f150]) ).
fof(f344,plain,
( ! [X9] :
( ~ element(X9,any2)
| subtract(any2,apply(x,sK2(any1,x)),subtract(any2,apply(x,sK2(any1,x)),X9)) = X9 )
| spl9_1 ),
inference(resolution,[],[f118,f154]) ).
fof(f333,plain,
( ~ spl9_19
| spl9_20
| spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f259,f137,f133,f330,f326]) ).
fof(f259,plain,
( subtract(any1,sK2(any1,x),sK3(any1,x)) = zero(any1)
| apply(x,subtract(any1,sK2(any1,x),sK3(any1,x))) != zero(any2)
| spl9_1
| ~ spl9_2 ),
inference(resolution,[],[f210,f229]) ).
fof(f210,plain,
( ! [X0] :
( ~ element(X0,any1)
| zero(any1) = X0
| apply(x,X0) != zero(any2) )
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f209,f138]) ).
fof(f138,plain,
( injection_2(x)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f209,plain,
! [X0] :
( zero(any1) = X0
| ~ element(X0,any1)
| ~ injection_2(x)
| apply(x,X0) != zero(any2) ),
inference(resolution,[],[f111,f125]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X0,X2,X1)
| ~ element(X3,X2)
| ~ injection_2(X0)
| apply(X0,X3) != zero(X1)
| zero(X2) = X3 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ morphism(X0,X2,X1)
| ! [X3] :
( ~ element(X3,X2)
| apply(X0,X3) != zero(X1)
| zero(X2) = X3 )
| ~ injection_2(X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X2,X1] :
( ~ morphism(X0,X1,X2)
| ! [X3] :
( ~ element(X3,X1)
| apply(X0,X3) != zero(X2)
| zero(X1) = X3 )
| ~ injection_2(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ! [X3] :
( zero(X1) = X3
| apply(X0,X3) != zero(X2)
| ~ element(X3,X1) )
| ~ morphism(X0,X1,X2)
| ~ injection_2(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X2] :
( ( morphism(X0,X1,X2)
& injection_2(X0) )
=> ! [X3] :
( ( apply(X0,X3) = zero(X2)
& element(X3,X1) )
=> zero(X1) = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injection_properties_2) ).
fof(f141,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f104,f137,f133]) ).
fof(f104,plain,
( injection_2(x)
| injection(x) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( ~ injection(x)
| ~ injection_2(x) )
& ( injection(x)
| injection_2(x) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( injection_2(x)
<~> injection(x) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,negated_conjecture,
~ ( injection(x)
<=> injection_2(x) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
( injection(x)
<=> injection_2(x) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',my) ).
fof(f140,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f105,f137,f133]) ).
fof(f105,plain,
( ~ injection_2(x)
| ~ injection(x) ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:50:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (13439)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)
% 0.20/0.51 % (13444)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)
% 0.20/0.51 % (13457)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (13439)Refutation not found, incomplete strategy% (13439)------------------------------
% 0.20/0.52 % (13439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (13439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (13439)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (13439)Memory used [KB]: 5500
% 0.20/0.52 % (13439)Time elapsed: 0.112 s
% 0.20/0.52 % (13439)Instructions burned: 5 (million)
% 0.20/0.52 % (13439)------------------------------
% 0.20/0.52 % (13439)------------------------------
% 0.20/0.52 % (13440)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)
% 0.20/0.52 % (13448)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)
% 0.20/0.52 % (13451)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (13442)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (13446)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (13453)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)
% 0.20/0.52 % (13468)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (13452)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (13463)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)
% 0.20/0.53 % (13441)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (13445)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)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (13469)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (13464)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (13438)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (13467)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)
% 0.20/0.54 % (13465)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (13461)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (13454)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)
% 0.20/0.54 % (13455)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (13460)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)
% 0.20/0.55 % (13446)Instruction limit reached!
% 0.20/0.55 % (13446)------------------------------
% 0.20/0.55 % (13446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (13446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (13446)Termination reason: Unknown
% 0.20/0.55 % (13446)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (13446)Memory used [KB]: 5628
% 0.20/0.55 % (13446)Time elapsed: 0.093 s
% 0.20/0.55 % (13446)Instructions burned: 7 (million)
% 0.20/0.55 % (13446)------------------------------
% 0.20/0.55 % (13446)------------------------------
% 0.20/0.55 % (13450)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (13449)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.55 % (13447)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.55 % (13447)Instruction limit reached!
% 1.54/0.55 % (13447)------------------------------
% 1.54/0.55 % (13447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55 % (13447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55 % (13447)Termination reason: Unknown
% 1.54/0.55 % (13447)Termination phase: Blocked clause elimination
% 1.54/0.55
% 1.54/0.55 % (13447)Memory used [KB]: 1023
% 1.54/0.55 % (13447)Time elapsed: 0.004 s
% 1.54/0.55 % (13447)Instructions burned: 4 (million)
% 1.54/0.55 % (13447)------------------------------
% 1.54/0.55 % (13447)------------------------------
% 1.54/0.55 TRYING [1]
% 1.54/0.56 TRYING [2]
% 1.54/0.56 % (13458)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.56 TRYING [1]
% 1.54/0.56 TRYING [2]
% 1.54/0.56 % (13466)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)
% 1.54/0.57 % (13462)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)
% 1.69/0.57 % (13459)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.58 % (13457)Instruction limit reached!
% 1.69/0.58 % (13457)------------------------------
% 1.69/0.58 % (13457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (13457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (13457)Termination reason: Unknown
% 1.69/0.58 % (13457)Termination phase: Finite model building constraint generation
% 1.69/0.58
% 1.69/0.58 % (13457)Memory used [KB]: 9466
% 1.69/0.58 % (13457)Time elapsed: 0.159 s
% 1.69/0.58 % (13457)Instructions burned: 59 (million)
% 1.69/0.58 % (13457)------------------------------
% 1.69/0.58 % (13457)------------------------------
% 1.69/0.58 TRYING [3]
% 1.69/0.58 % (13448)Instruction limit reached!
% 1.69/0.58 % (13448)------------------------------
% 1.69/0.58 % (13448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (13448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (13448)Termination reason: Unknown
% 1.69/0.58 % (13448)Termination phase: Saturation
% 1.69/0.58
% 1.69/0.58 % (13448)Memory used [KB]: 1663
% 1.69/0.58 % (13448)Time elapsed: 0.171 s
% 1.69/0.58 % (13448)Instructions burned: 51 (million)
% 1.69/0.58 % (13448)------------------------------
% 1.69/0.58 % (13448)------------------------------
% 1.69/0.59 TRYING [3]
% 1.69/0.61 % (13441)Instruction limit reached!
% 1.69/0.61 % (13441)------------------------------
% 1.69/0.61 % (13441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (13441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (13441)Termination reason: Unknown
% 1.69/0.61 % (13441)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (13441)Memory used [KB]: 6396
% 1.69/0.61 % (13441)Time elapsed: 0.199 s
% 1.69/0.61 % (13441)Instructions burned: 51 (million)
% 1.69/0.61 % (13441)------------------------------
% 1.69/0.61 % (13441)------------------------------
% 1.69/0.61 % (13442)Instruction limit reached!
% 1.69/0.61 % (13442)------------------------------
% 1.69/0.61 % (13442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (13442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (13442)Termination reason: Unknown
% 1.69/0.61 % (13442)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (13442)Memory used [KB]: 6524
% 1.69/0.61 % (13442)Time elapsed: 0.200 s
% 1.69/0.61 % (13442)Instructions burned: 51 (million)
% 1.69/0.61 % (13442)------------------------------
% 1.69/0.61 % (13442)------------------------------
% 1.69/0.61 % (13445)Instruction limit reached!
% 1.69/0.61 % (13445)------------------------------
% 1.69/0.61 % (13445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (13445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (13445)Termination reason: Unknown
% 1.69/0.61 % (13445)Termination phase: Finite model building SAT solving
% 1.69/0.61
% 1.69/0.61 % (13445)Memory used [KB]: 9210
% 1.69/0.61 % (13445)Time elapsed: 0.169 s
% 1.69/0.61 % (13445)Instructions burned: 52 (million)
% 1.69/0.61 % (13445)------------------------------
% 1.69/0.61 % (13445)------------------------------
% 1.69/0.61 % (13440)Instruction limit reached!
% 1.69/0.61 % (13440)------------------------------
% 1.69/0.61 % (13440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (13440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (13440)Termination reason: Unknown
% 1.69/0.61 % (13440)Termination phase: Saturation
% 1.69/0.61
% 1.69/0.61 % (13440)Memory used [KB]: 1663
% 1.69/0.61 % (13440)Time elapsed: 0.214 s
% 1.69/0.61 % (13440)Instructions burned: 37 (million)
% 1.69/0.61 % (13440)------------------------------
% 1.69/0.61 % (13440)------------------------------
% 1.69/0.62 % (13444)Instruction limit reached!
% 1.69/0.62 % (13444)------------------------------
% 1.69/0.62 % (13444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.62 % (13559)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.69/0.63 % (13444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (13444)Termination reason: Unknown
% 1.69/0.63 % (13444)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (13444)Memory used [KB]: 6140
% 1.69/0.63 % (13449)Instruction limit reached!
% 1.69/0.63 % (13449)------------------------------
% 1.69/0.63 % (13449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.63 % (13449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.63 % (13449)Termination reason: Unknown
% 1.69/0.63 % (13449)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (13449)Memory used [KB]: 6396
% 1.69/0.63 % (13449)Time elapsed: 0.223 s
% 1.69/0.63 % (13449)Instructions burned: 50 (million)
% 1.69/0.63 % (13449)------------------------------
% 1.69/0.63 % (13449)------------------------------
% 1.69/0.63 % (13444)Time elapsed: 0.219 s
% 1.69/0.63 % (13444)Instructions burned: 48 (million)
% 1.69/0.63 % (13444)------------------------------
% 1.69/0.63 % (13444)------------------------------
% 2.18/0.65 TRYING [4]
% 2.18/0.65 % (13453)Instruction limit reached!
% 2.18/0.65 % (13453)------------------------------
% 2.18/0.65 % (13453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.65 % (13453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.65 % (13453)Termination reason: Unknown
% 2.18/0.65 % (13453)Termination phase: Saturation
% 2.18/0.65
% 2.18/0.65 % (13453)Memory used [KB]: 6396
% 2.18/0.65 % (13453)Time elapsed: 0.037 s
% 2.18/0.65 % (13453)Instructions burned: 68 (million)
% 2.18/0.65 % (13453)------------------------------
% 2.18/0.65 % (13453)------------------------------
% 2.28/0.66 % (13454)Instruction limit reached!
% 2.28/0.66 % (13454)------------------------------
% 2.28/0.66 % (13454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (13466)Instruction limit reached!
% 2.28/0.67 % (13466)------------------------------
% 2.28/0.67 % (13466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (13466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (13466)Termination reason: Unknown
% 2.28/0.67 % (13466)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (13466)Memory used [KB]: 6396
% 2.28/0.67 % (13466)Time elapsed: 0.044 s
% 2.28/0.67 % (13466)Instructions burned: 68 (million)
% 2.28/0.67 % (13466)------------------------------
% 2.28/0.67 % (13466)------------------------------
% 2.28/0.67 % (13454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (13454)Termination reason: Unknown
% 2.28/0.67 % (13454)Termination phase: Saturation
% 2.28/0.67
% 2.28/0.67 % (13454)Memory used [KB]: 1791
% 2.28/0.67 % (13454)Time elapsed: 0.217 s
% 2.28/0.67 % (13454)Instructions burned: 76 (million)
% 2.28/0.67 % (13454)------------------------------
% 2.28/0.67 % (13454)------------------------------
% 2.28/0.68 % (13573)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.28/0.69 % (13589)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.28/0.69 % (13578)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.28/0.69 % (13455)Instruction limit reached!
% 2.28/0.69 % (13455)------------------------------
% 2.28/0.69 % (13455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.69 % (13455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.69 % (13455)Termination reason: Unknown
% 2.28/0.69 % (13455)Termination phase: Saturation
% 2.28/0.69
% 2.28/0.69 % (13455)Memory used [KB]: 6652
% 2.28/0.69 % (13455)Time elapsed: 0.277 s
% 2.28/0.69 % (13455)Instructions burned: 99 (million)
% 2.28/0.69 % (13455)------------------------------
% 2.28/0.69 % (13455)------------------------------
% 2.28/0.71 % (13451)Instruction limit reached!
% 2.28/0.71 % (13451)------------------------------
% 2.28/0.71 % (13451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.71 % (13451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.71 % (13451)Termination reason: Unknown
% 2.28/0.71 % (13451)Termination phase: Saturation
% 2.28/0.71
% 2.28/0.71 % (13451)Memory used [KB]: 6908
% 2.28/0.71 % (13451)Time elapsed: 0.313 s
% 2.28/0.71 % (13451)Instructions burned: 102 (million)
% 2.28/0.71 % (13451)------------------------------
% 2.28/0.71 % (13451)------------------------------
% 2.28/0.71 % (13593)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.28/0.72 % (13459)Instruction limit reached!
% 2.28/0.72 % (13459)------------------------------
% 2.28/0.72 % (13459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.72 % (13452)Instruction limit reached!
% 2.60/0.72 % (13452)------------------------------
% 2.60/0.72 % (13452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.72 % (13452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.72 % (13452)Termination reason: Unknown
% 2.60/0.72 % (13452)Termination phase: Saturation
% 2.60/0.72
% 2.60/0.72 % (13452)Memory used [KB]: 6908
% 2.60/0.72 % (13452)Time elapsed: 0.332 s
% 2.60/0.72 % (13452)Instructions burned: 99 (million)
% 2.60/0.72 % (13452)------------------------------
% 2.60/0.72 % (13452)------------------------------
% 2.60/0.73 % (13458)Instruction limit reached!
% 2.60/0.73 % (13458)------------------------------
% 2.60/0.73 % (13458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73 % (13604)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.60/0.73 % (13459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73 % (13459)Termination reason: Unknown
% 2.60/0.73 % (13459)Termination phase: Saturation
% 2.60/0.73
% 2.60/0.73 % (13459)Memory used [KB]: 2302
% 2.60/0.73 % (13459)Time elapsed: 0.309 s
% 2.60/0.73 % (13459)Instructions burned: 100 (million)
% 2.60/0.73 % (13459)------------------------------
% 2.60/0.73 % (13459)------------------------------
% 2.60/0.73 % (13450)Instruction limit reached!
% 2.60/0.73 % (13450)------------------------------
% 2.60/0.73 % (13450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.73 % (13450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.73 % (13450)Termination reason: Unknown
% 2.60/0.73 % (13450)Termination phase: Saturation
% 2.60/0.73
% 2.60/0.73 % (13450)Memory used [KB]: 7036
% 2.60/0.73 % (13450)Time elapsed: 0.339 s
% 2.60/0.73 % (13450)Instructions burned: 101 (million)
% 2.60/0.73 % (13450)------------------------------
% 2.60/0.73 % (13450)------------------------------
% 2.60/0.73 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.60/0.74 % (13458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.74 % (13458)Termination reason: Unknown
% 2.60/0.74 % (13458)Termination phase: Saturation
% 2.60/0.74
% 2.60/0.74 % (13458)Memory used [KB]: 6908
% 2.60/0.74 % (13458)Time elapsed: 0.323 s
% 2.60/0.74 % (13458)Instructions burned: 100 (million)
% 2.60/0.74 % (13458)------------------------------
% 2.60/0.74 % (13458)------------------------------
% 2.60/0.74 % (13603)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.60/0.75 % (13607)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.60/0.76 % (13468)First to succeed.
% 2.60/0.76 % (13605)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 (2997ds/68Mi)
% 2.60/0.76 % (13608)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.60/0.76 % (13468)Refutation found. Thanks to Tanya!
% 2.60/0.76 % SZS status Theorem for theBenchmark
% 2.60/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/0.76 % (13468)------------------------------
% 2.60/0.76 % (13468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.76 % (13468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.76 % (13468)Termination reason: Refutation
% 2.60/0.76
% 2.60/0.76 % (13468)Memory used [KB]: 7547
% 2.60/0.76 % (13468)Time elapsed: 0.342 s
% 2.60/0.76 % (13468)Instructions burned: 152 (million)
% 2.60/0.76 % (13468)------------------------------
% 2.60/0.76 % (13468)------------------------------
% 2.60/0.76 % (13435)Success in time 0.4 s
%------------------------------------------------------------------------------