TSTP Solution File: HAL002+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n025.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 16:24:15 EDT 2022
% Result : Theorem 2.34s 0.70s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 109 ( 4 unt; 0 def)
% Number of atoms : 352 ( 102 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 363 ( 120 ~; 145 |; 61 &)
% ( 4 <=>; 32 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 224 ( 212 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f639,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f85,f548,f634]) ).
fof(f634,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(subsumption_resolution,[],[f632,f90]) ).
fof(f90,plain,
apply(x,zero(any1)) = zero(any2),
inference(unit_resulting_resolution,[],[f66,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ morphism(X1,X2,X0)
| apply(X1,zero(X2)) = zero(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( apply(X1,zero(X2)) = zero(X0)
& ! [X3] :
( element(apply(X1,X3),X0)
| ~ element(X3,X2) ) )
| ~ morphism(X1,X2,X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0,X2,X1] :
( ( apply(X2,zero(X1)) = zero(X0)
& ! [X3] :
( element(apply(X2,X3),X0)
| ~ element(X3,X1) ) )
| ~ morphism(X2,X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( morphism(X2,X1,X0)
=> ( ! [X3] :
( element(X3,X1)
=> element(apply(X2,X3),X0) )
& apply(X2,zero(X1)) = zero(X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X1,X0] :
( morphism(X0,X1,X2)
=> ( ! [X3] :
( element(X3,X1)
=> element(apply(X0,X3),X2) )
& apply(X0,zero(X1)) = zero(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',morphism) ).
fof(f66,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(f632,plain,
( apply(x,zero(any1)) != zero(any2)
| ~ spl3_1
| spl3_2 ),
inference(forward_demodulation,[],[f608,f574]) ).
fof(f574,plain,
( apply(x,sK0(x,any1,any2)) = zero(any2)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f66,f83,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ morphism(X0,X1,X2)
| zero(X2) = apply(X0,sK0(X0,X1,X2))
| injection_2(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ morphism(X0,X1,X2)
| injection_2(X0)
| ( zero(X1) != sK0(X0,X1,X2)
& element(sK0(X0,X1,X2),X1)
& zero(X2) = apply(X0,sK0(X0,X1,X2)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ? [X3] :
( zero(X1) != X3
& element(X3,X1)
& apply(X0,X3) = zero(X2) )
=> ( zero(X1) != sK0(X0,X1,X2)
& element(sK0(X0,X1,X2),X1)
& zero(X2) = apply(X0,sK0(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ morphism(X0,X1,X2)
| injection_2(X0)
| ? [X3] :
( zero(X1) != X3
& element(X3,X1)
& apply(X0,X3) = zero(X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ morphism(X2,X0,X1)
| injection_2(X2)
| ? [X3] :
( zero(X0) != X3
& element(X3,X0)
& zero(X1) = apply(X2,X3) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X2,X1] :
( injection_2(X2)
| ~ morphism(X2,X0,X1)
| ? [X3] :
( zero(X0) != X3
& zero(X1) = apply(X2,X3)
& element(X3,X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X2,X1] :
( ( morphism(X2,X0,X1)
& ! [X3] :
( ( zero(X1) = apply(X2,X3)
& element(X3,X0) )
=> zero(X0) = X3 ) )
=> injection_2(X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X2,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(f83,plain,
( ~ injection_2(x)
| spl3_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl3_2
<=> injection_2(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f608,plain,
( apply(x,zero(any1)) != apply(x,sK0(x,any1,any2))
| ~ spl3_1
| spl3_2 ),
inference(unit_resulting_resolution,[],[f78,f66,f573,f572,f584,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( apply(X0,X3) != apply(X0,X4)
| ~ morphism(X0,X2,X1)
| ~ element(X3,X2)
| ~ injection(X0)
| X3 = X4
| ~ element(X4,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ~ element(X4,X2)
| apply(X0,X3) != apply(X0,X4)
| X3 = X4
| ~ element(X3,X2) )
| ~ injection(X0)
| ~ morphism(X0,X2,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X2,X1] :
( ! [X4,X3] :
( X3 = X4
| ~ element(X4,X2)
| ~ element(X3,X2)
| apply(X0,X3) != apply(X0,X4) )
| ~ injection(X0)
| ~ morphism(X0,X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( ( injection(X0)
& morphism(X0,X2,X1) )
=> ! [X4,X3] :
( ( element(X4,X2)
& element(X3,X2)
& apply(X0,X3) = apply(X0,X4) )
=> X3 = X4 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( ( injection(X0)
& morphism(X0,X1,X2) )
=> ! [X5,X4] :
( ( element(X5,X1)
& apply(X0,X4) = apply(X0,X5)
& element(X4,X1) )
=> X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injection_properties) ).
fof(f584,plain,
( element(zero(any1),any1)
| spl3_2 ),
inference(backward_demodulation,[],[f581,f579]) ).
fof(f579,plain,
( zero(any1) = subtract(any1,sK0(x,any1,any2),sK0(x,any1,any2))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f573,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ element(X0,X1)
| zero(X1) = subtract(X1,X0,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( zero(X1) = subtract(X1,X0,X0)
| ~ element(X0,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( subtract(X0,X1,X1) = zero(X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( element(X1,X0)
=> subtract(X0,X1,X1) = zero(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X3] :
( element(X3,X1)
=> zero(X1) = subtract(X1,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_to_0) ).
fof(f581,plain,
( element(subtract(any1,sK0(x,any1,any2),sK0(x,any1,any2)),any1)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f573,f573,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( element(subtract(X2,X1,X0),X2)
| ~ element(X1,X2)
| ~ element(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ element(X1,X2)
| element(subtract(X2,X1,X0),X2)
| ~ element(X0,X2) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( ~ element(X1,X0)
| element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X2,X1] :
( element(subtract(X0,X1,X2),X0)
| ~ element(X2,X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( element(X2,X0)
& element(X1,X0) )
=> element(subtract(X0,X1,X2),X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X4,X5] :
( ( element(X4,X1)
& element(X5,X1) )
=> element(subtract(X1,X4,X5),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subtract_in_domain) ).
fof(f572,plain,
( sK0(x,any1,any2) != zero(any1)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f66,f83,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( zero(X1) != sK0(X0,X1,X2)
| ~ morphism(X0,X1,X2)
| injection_2(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f573,plain,
( element(sK0(x,any1,any2),any1)
| spl3_2 ),
inference(unit_resulting_resolution,[],[f66,f83,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( element(sK0(X0,X1,X2),X1)
| ~ morphism(X0,X1,X2)
| injection_2(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f78,plain,
( injection(x)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl3_1
<=> injection(x) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f548,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f547,plain,
( $false
| spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f546,f86]) ).
fof(f86,plain,
( sK1(x,any1) != sK2(x,any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f79,f66,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( sK1(X1,X2) != sK2(X1,X2)
| ~ morphism(X1,X2,X0)
| injection(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( apply(X1,sK2(X1,X2)) = apply(X1,sK1(X1,X2))
& element(sK2(X1,X2),X2)
& element(sK1(X1,X2),X2)
& sK1(X1,X2) != sK2(X1,X2) )
| injection(X1)
| ~ morphism(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f54,f55]) ).
fof(f55,plain,
! [X1,X2] :
( ? [X3,X4] :
( apply(X1,X4) = apply(X1,X3)
& element(X4,X2)
& element(X3,X2)
& X3 != X4 )
=> ( apply(X1,sK2(X1,X2)) = apply(X1,sK1(X1,X2))
& element(sK2(X1,X2),X2)
& element(sK1(X1,X2),X2)
& sK1(X1,X2) != sK2(X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( apply(X1,X4) = apply(X1,X3)
& element(X4,X2)
& element(X3,X2)
& X3 != X4 )
| injection(X1)
| ~ morphism(X1,X2,X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ? [X3,X4] :
( apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1)
& X3 != X4 )
| injection(X0)
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X2,X0] :
( injection(X0)
| ~ morphism(X0,X1,X2)
| ? [X3,X4] :
( X3 != X4
& apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X2,X0] :
( ( morphism(X0,X1,X2)
& ! [X3,X4] :
( ( apply(X0,X3) = apply(X0,X4)
& element(X4,X1)
& element(X3,X1) )
=> X3 = X4 ) )
=> injection(X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( ! [X5,X4] :
( ( element(X5,X1)
& apply(X0,X4) = apply(X0,X5)
& element(X4,X1) )
=> X4 = X5 )
& morphism(X0,X1,X2) )
=> injection(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',properties_for_injection) ).
fof(f79,plain,
( ~ injection(x)
| spl3_1 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f546,plain,
( sK1(x,any1) = sK2(x,any1)
| spl3_1
| ~ spl3_2 ),
inference(backward_demodulation,[],[f161,f510]) ).
fof(f510,plain,
( sK1(x,any1) = subtract(any1,sK2(x,any1),zero(any1))
| spl3_1
| ~ spl3_2 ),
inference(backward_demodulation,[],[f142,f506]) ).
fof(f506,plain,
( subtract(any1,sK2(x,any1),sK1(x,any1)) = zero(any1)
| spl3_1
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f82,f66,f149,f158,f68]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( zero(X1) != apply(X2,X3)
| ~ injection_2(X2)
| ~ element(X3,X0)
| ~ morphism(X2,X0,X1)
| zero(X0) = X3 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ element(X3,X0)
| zero(X0) = X3
| zero(X1) != apply(X2,X3) )
| ~ morphism(X2,X0,X1)
| ~ injection_2(X2) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( ! [X3] :
( ~ element(X3,X2)
| zero(X2) = X3
| apply(X0,X3) != zero(X1) )
| ~ morphism(X0,X2,X1)
| ~ injection_2(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X2,X0] :
( ! [X3] :
( zero(X2) = X3
| apply(X0,X3) != zero(X1)
| ~ element(X3,X2) )
| ~ morphism(X0,X2,X1)
| ~ injection_2(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X2,X0] :
( ( morphism(X0,X2,X1)
& injection_2(X0) )
=> ! [X3] :
( ( apply(X0,X3) = zero(X1)
& element(X3,X2) )
=> zero(X2) = X3 ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X2,X1] :
( ( 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(f158,plain,
( apply(x,subtract(any1,sK2(x,any1),sK1(x,any1))) = zero(any2)
| spl3_1 ),
inference(forward_demodulation,[],[f157,f103]) ).
fof(f103,plain,
( subtract(any2,apply(x,sK1(x,any1)),apply(x,sK1(x,any1))) = zero(any2)
| spl3_1 ),
inference(forward_demodulation,[],[f102,f90]) ).
fof(f102,plain,
( apply(x,zero(any1)) = subtract(any2,apply(x,sK1(x,any1)),apply(x,sK1(x,any1)))
| spl3_1 ),
inference(forward_demodulation,[],[f91,f95]) ).
fof(f95,plain,
( subtract(any1,sK1(x,any1),sK1(x,any1)) = zero(any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f87,f63]) ).
fof(f87,plain,
( element(sK1(x,any1),any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f79,f66,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ morphism(X1,X2,X0)
| injection(X1)
| element(sK1(X1,X2),X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f91,plain,
( apply(x,subtract(any1,sK1(x,any1),sK1(x,any1))) = subtract(any2,apply(x,sK1(x,any1)),apply(x,sK1(x,any1)))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f87,f66,f87,f58]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(X1,X0,X2)
| apply(X1,subtract(X0,X3,X4)) = subtract(X2,apply(X1,X3),apply(X1,X4))
| ~ element(X3,X0)
| ~ element(X4,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ~ element(X4,X0)
| ~ element(X3,X0)
| apply(X1,subtract(X0,X3,X4)) = subtract(X2,apply(X1,X3),apply(X1,X4)) )
| ~ morphism(X1,X0,X2) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X2,X1,X0] :
( ! [X3,X4] :
( ~ element(X4,X2)
| ~ element(X3,X2)
| subtract(X0,apply(X1,X3),apply(X1,X4)) = apply(X1,subtract(X2,X3,X4)) )
| ~ morphism(X1,X2,X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ! [X4,X3] :
( subtract(X0,apply(X1,X3),apply(X1,X4)) = apply(X1,subtract(X2,X3,X4))
| ~ element(X4,X2)
| ~ element(X3,X2) )
| ~ morphism(X1,X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( morphism(X1,X2,X0)
=> ! [X4,X3] :
( ( element(X4,X2)
& element(X3,X2) )
=> subtract(X0,apply(X1,X3),apply(X1,X4)) = apply(X1,subtract(X2,X3,X4)) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( morphism(X0,X1,X2)
=> ! [X4,X5] :
( ( element(X4,X1)
& element(X5,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(f157,plain,
( apply(x,subtract(any1,sK2(x,any1),sK1(x,any1))) = subtract(any2,apply(x,sK1(x,any1)),apply(x,sK1(x,any1)))
| spl3_1 ),
inference(forward_demodulation,[],[f133,f89]) ).
fof(f89,plain,
( apply(x,sK1(x,any1)) = apply(x,sK2(x,any1))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f79,f66,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ morphism(X1,X2,X0)
| apply(X1,sK2(X1,X2)) = apply(X1,sK1(X1,X2))
| injection(X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f133,plain,
( apply(x,subtract(any1,sK2(x,any1),sK1(x,any1))) = subtract(any2,apply(x,sK2(x,any1)),apply(x,sK1(x,any1)))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f87,f66,f88,f58]) ).
fof(f88,plain,
( element(sK2(x,any1),any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f79,f66,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ morphism(X1,X2,X0)
| injection(X1)
| element(sK2(X1,X2),X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f149,plain,
( element(subtract(any1,sK2(x,any1),sK1(x,any1)),any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f87,f88,f69]) ).
fof(f82,plain,
( injection_2(x)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f142,plain,
( subtract(any1,sK2(x,any1),subtract(any1,sK2(x,any1),sK1(x,any1))) = sK1(x,any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f87,f88,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ element(X1,X2)
| ~ element(X0,X2)
| subtract(X2,X1,subtract(X2,X1,X0)) = X0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ element(X0,X2)
| ~ element(X1,X2)
| subtract(X2,X1,subtract(X2,X1,X0)) = X0 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X2,X1] :
( ~ element(X0,X1)
| ~ element(X2,X1)
| subtract(X1,X2,subtract(X1,X2,X0)) = X0 ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( subtract(X1,X2,subtract(X1,X2,X0)) = X0
| ~ element(X2,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( element(X2,X1)
& element(X0,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(f161,plain,
( sK2(x,any1) = subtract(any1,sK2(x,any1),zero(any1))
| spl3_1 ),
inference(forward_demodulation,[],[f144,f145]) ).
fof(f145,plain,
( subtract(any1,sK2(x,any1),sK2(x,any1)) = zero(any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f88,f63]) ).
fof(f144,plain,
( subtract(any1,sK2(x,any1),subtract(any1,sK2(x,any1),sK2(x,any1))) = sK2(x,any1)
| spl3_1 ),
inference(unit_resulting_resolution,[],[f88,f88,f59]) ).
fof(f85,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f64,f81,f77]) ).
fof(f64,plain,
( injection_2(x)
| injection(x) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( ~ injection(x)
| ~ injection_2(x) )
& ( injection(x)
| injection_2(x) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,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(f84,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f65,f81,f77]) ).
fof(f65,plain,
( ~ injection_2(x)
| ~ injection(x) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : HAL002+1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.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 23:02:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.52 % (16368)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (16370)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (16377)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.53 % (16376)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.37/0.54 % (16385)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.37/0.54 % (16369)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.37/0.54 % (16369)Refutation not found, incomplete strategy% (16369)------------------------------
% 1.37/0.54 % (16369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.54 % (16369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.54 % (16369)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.54
% 1.37/0.54 % (16369)Memory used [KB]: 6012
% 1.37/0.54 % (16369)Time elapsed: 0.124 s
% 1.37/0.54 % (16369)Instructions burned: 6 (million)
% 1.37/0.54 % (16369)------------------------------
% 1.37/0.54 % (16369)------------------------------
% 1.37/0.54 % (16386)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54 % (16378)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.54 % (16384)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.37/0.55 % (16377)Instruction limit reached!
% 1.37/0.55 % (16377)------------------------------
% 1.37/0.55 % (16377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (16376)Instruction limit reached!
% 1.55/0.55 % (16376)------------------------------
% 1.55/0.55 % (16376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (16376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (16376)Termination reason: Unknown
% 1.55/0.55 % (16376)Termination phase: Property scanning
% 1.55/0.55
% 1.55/0.55 % (16376)Memory used [KB]: 1535
% 1.55/0.55 % (16376)Time elapsed: 0.005 s
% 1.55/0.55 % (16376)Instructions burned: 3 (million)
% 1.55/0.55 % (16376)------------------------------
% 1.55/0.55 % (16376)------------------------------
% 1.55/0.55 % (16377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (16377)Termination reason: Unknown
% 1.55/0.55 % (16377)Termination phase: Saturation
% 1.55/0.55
% 1.55/0.55 % (16377)Memory used [KB]: 6140
% 1.55/0.55 % (16377)Time elapsed: 0.135 s
% 1.55/0.55 % (16377)Instructions burned: 8 (million)
% 1.55/0.55 % (16377)------------------------------
% 1.55/0.55 % (16377)------------------------------
% 1.55/0.57 % (16365)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.58 % (16366)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.55/0.58 % (16368)Instruction limit reached!
% 1.55/0.58 % (16368)------------------------------
% 1.55/0.58 % (16368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (16368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (16368)Termination reason: Unknown
% 1.55/0.58 % (16368)Termination phase: Saturation
% 1.55/0.58
% 1.55/0.58 % (16368)Memory used [KB]: 6524
% 1.55/0.58 % (16368)Time elapsed: 0.158 s
% 1.55/0.58 % (16368)Instructions burned: 40 (million)
% 1.55/0.58 % (16368)------------------------------
% 1.55/0.58 % (16368)------------------------------
% 1.55/0.59 % (16379)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.55/0.59 % (16381)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.55/0.59 % (16379)Instruction limit reached!
% 1.55/0.59 % (16379)------------------------------
% 1.55/0.59 % (16379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (16379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (16379)Termination reason: Unknown
% 1.55/0.59 % (16379)Termination phase: Preprocessing 3
% 1.55/0.59
% 1.55/0.59 % (16379)Memory used [KB]: 1535
% 1.55/0.59 % (16379)Time elapsed: 0.003 s
% 1.55/0.59 % (16379)Instructions burned: 3 (million)
% 1.55/0.59 % (16379)------------------------------
% 1.55/0.59 % (16379)------------------------------
% 1.55/0.59 % (16390)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.55/0.59 % (16387)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.55/0.59 % (16387)Refutation not found, incomplete strategy% (16387)------------------------------
% 1.55/0.59 % (16387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (16387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (16387)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.59
% 1.55/0.59 % (16387)Memory used [KB]: 6012
% 1.55/0.59 % (16387)Time elapsed: 0.138 s
% 1.55/0.59 % (16387)Instructions burned: 4 (million)
% 1.55/0.59 % (16387)------------------------------
% 1.55/0.59 % (16387)------------------------------
% 1.55/0.59 % (16389)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.55/0.60 % (16374)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.55/0.60 % (16365)Refutation not found, incomplete strategy% (16365)------------------------------
% 1.55/0.60 % (16365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (16365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (16365)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.60
% 1.55/0.60 % (16365)Memory used [KB]: 6012
% 1.55/0.60 % (16365)Time elapsed: 0.180 s
% 1.55/0.60 % (16365)Instructions burned: 3 (million)
% 1.55/0.60 % (16365)------------------------------
% 1.55/0.60 % (16365)------------------------------
% 1.55/0.60 % (16364)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.55/0.60 % (16371)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.55/0.60 % (16364)Instruction limit reached!
% 1.55/0.60 % (16364)------------------------------
% 1.55/0.60 % (16364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (16364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (16364)Termination reason: Unknown
% 1.55/0.60 % (16364)Termination phase: Property scanning
% 1.55/0.60
% 1.55/0.60 % (16364)Memory used [KB]: 1535
% 1.55/0.60 % (16364)Time elapsed: 0.005 s
% 1.55/0.60 % (16364)Instructions burned: 3 (million)
% 1.55/0.60 % (16364)------------------------------
% 1.55/0.60 % (16364)------------------------------
% 1.55/0.60 % (16366)Refutation not found, incomplete strategy% (16366)------------------------------
% 1.55/0.60 % (16366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (16366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (16366)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.60
% 1.55/0.60 % (16366)Memory used [KB]: 6012
% 1.55/0.60 % (16366)Time elapsed: 0.180 s
% 1.55/0.60 % (16366)Instructions burned: 3 (million)
% 1.55/0.60 % (16366)------------------------------
% 1.55/0.60 % (16366)------------------------------
% 1.55/0.60 % (16373)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.55/0.60 % (16388)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.55/0.60 % (16382)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.55/0.60 % (16381)Refutation not found, incomplete strategy% (16381)------------------------------
% 1.55/0.60 % (16381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (16381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (16381)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.60
% 1.55/0.60 % (16381)Memory used [KB]: 6012
% 1.55/0.60 % (16381)Time elapsed: 0.191 s
% 1.55/0.60 % (16381)Instructions burned: 3 (million)
% 1.55/0.60 % (16381)------------------------------
% 1.55/0.60 % (16381)------------------------------
% 1.55/0.61 % (16363)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.55/0.61 % (16385)Instruction limit reached!
% 1.55/0.61 % (16385)------------------------------
% 1.55/0.61 % (16385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61 % (16385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61 % (16385)Termination reason: Unknown
% 1.55/0.61 % (16385)Termination phase: Saturation
% 1.55/0.61
% 1.55/0.61 % (16385)Memory used [KB]: 1918
% 1.55/0.61 % (16385)Time elapsed: 0.196 s
% 1.55/0.61 % (16385)Instructions burned: 46 (million)
% 1.55/0.61 % (16385)------------------------------
% 1.55/0.61 % (16385)------------------------------
% 1.55/0.61 % (16390)Refutation not found, incomplete strategy% (16390)------------------------------
% 1.55/0.61 % (16390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.61 % (16390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.61 % (16390)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.61
% 1.55/0.61 % (16390)Memory used [KB]: 6140
% 1.55/0.61 % (16390)Time elapsed: 0.191 s
% 1.55/0.61 % (16390)Instructions burned: 6 (million)
% 1.55/0.61 % (16390)------------------------------
% 1.55/0.61 % (16390)------------------------------
% 1.55/0.62 % (16372)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.55/0.62 % (16372)Refutation not found, incomplete strategy% (16372)------------------------------
% 1.55/0.62 % (16372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (16372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (16372)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.62
% 1.55/0.62 % (16372)Memory used [KB]: 5884
% 1.55/0.62 % (16372)Time elapsed: 0.200 s
% 1.55/0.62 % (16372)Instructions burned: 3 (million)
% 1.55/0.62 % (16372)------------------------------
% 1.55/0.62 % (16372)------------------------------
% 1.55/0.62 % (16380)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.55/0.62 % (16380)Instruction limit reached!
% 1.55/0.62 % (16380)------------------------------
% 1.55/0.62 % (16380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (16380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (16380)Termination reason: Unknown
% 1.55/0.62 % (16380)Termination phase: Saturation
% 1.55/0.62
% 1.55/0.62 % (16380)Memory used [KB]: 6012
% 1.55/0.62 % (16380)Time elapsed: 0.004 s
% 1.55/0.62 % (16380)Instructions burned: 2 (million)
% 1.55/0.62 % (16380)------------------------------
% 1.55/0.62 % (16380)------------------------------
% 1.55/0.62 % (16373)Refutation not found, incomplete strategy% (16373)------------------------------
% 1.55/0.62 % (16373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (16373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (16373)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.62
% 1.55/0.62 % (16373)Memory used [KB]: 6012
% 1.55/0.62 % (16373)Time elapsed: 0.202 s
% 1.55/0.62 % (16373)Instructions burned: 4 (million)
% 1.55/0.62 % (16373)------------------------------
% 1.55/0.62 % (16373)------------------------------
% 1.55/0.62 % (16370)Instruction limit reached!
% 1.55/0.62 % (16370)------------------------------
% 1.55/0.62 % (16370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.62 % (16370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.62 % (16370)Termination reason: Unknown
% 1.55/0.62 % (16370)Termination phase: Saturation
% 1.55/0.62
% 1.55/0.62 % (16370)Memory used [KB]: 6780
% 1.55/0.62 % (16370)Time elapsed: 0.203 s
% 1.55/0.62 % (16370)Instructions burned: 50 (million)
% 1.55/0.62 % (16370)------------------------------
% 1.55/0.62 % (16370)------------------------------
% 1.55/0.63 % (16386)Instruction limit reached!
% 1.55/0.63 % (16386)------------------------------
% 1.55/0.63 % (16386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.63 % (16386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.63 % (16386)Termination reason: Unknown
% 1.55/0.63 % (16386)Termination phase: Saturation
% 1.55/0.63
% 1.55/0.63 % (16386)Memory used [KB]: 6524
% 1.55/0.63 % (16386)Time elapsed: 0.217 s
% 1.55/0.63 % (16386)Instructions burned: 51 (million)
% 1.55/0.63 % (16386)------------------------------
% 1.55/0.63 % (16386)------------------------------
% 1.55/0.64 % (16384)Instruction limit reached!
% 1.55/0.64 % (16384)------------------------------
% 1.55/0.64 % (16384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.64 % (16384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.64 % (16384)Termination reason: Unknown
% 1.55/0.64 % (16384)Termination phase: Saturation
% 1.55/0.64
% 1.55/0.64 % (16384)Memory used [KB]: 7419
% 1.55/0.64 % (16384)Time elapsed: 0.218 s
% 1.55/0.64 % (16384)Instructions burned: 82 (million)
% 1.55/0.64 % (16384)------------------------------
% 1.55/0.64 % (16384)------------------------------
% 1.55/0.64 % (16374)Instruction limit reached!
% 1.55/0.64 % (16374)------------------------------
% 1.55/0.64 % (16374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.64 % (16374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.64 % (16374)Termination reason: Unknown
% 1.55/0.64 % (16374)Termination phase: Saturation
% 1.55/0.64
% 1.55/0.64 % (16374)Memory used [KB]: 1791
% 1.55/0.64 % (16374)Time elapsed: 0.209 s
% 1.55/0.64 % (16374)Instructions burned: 17 (million)
% 1.55/0.64 % (16374)------------------------------
% 1.55/0.64 % (16374)------------------------------
% 2.23/0.65 % (16367)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 2.23/0.65 % (16363)Instruction limit reached!
% 2.23/0.65 % (16363)------------------------------
% 2.23/0.65 % (16363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (16363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (16363)Termination reason: Unknown
% 2.23/0.65 % (16363)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (16363)Memory used [KB]: 6268
% 2.23/0.65 % (16363)Time elapsed: 0.201 s
% 2.23/0.65 % (16363)Instructions burned: 13 (million)
% 2.23/0.65 % (16363)------------------------------
% 2.23/0.65 % (16363)------------------------------
% 2.23/0.65 % (16378)Instruction limit reached!
% 2.23/0.65 % (16378)------------------------------
% 2.23/0.65 % (16378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.65 % (16378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (16378)Termination reason: Unknown
% 2.23/0.65 % (16378)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (16378)Memory used [KB]: 6908
% 2.23/0.65 % (16378)Time elapsed: 0.209 s
% 2.23/0.65 % (16378)Instructions burned: 50 (million)
% 2.23/0.65 % (16378)------------------------------
% 2.23/0.65 % (16378)------------------------------
% 2.23/0.66 % (16389)Instruction limit reached!
% 2.23/0.66 % (16389)------------------------------
% 2.23/0.66 % (16389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.66 % (16389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.66 % (16389)Termination reason: Unknown
% 2.23/0.66 % (16389)Termination phase: Saturation
% 2.23/0.66
% 2.23/0.66 % (16389)Memory used [KB]: 6396
% 2.23/0.66 % (16389)Time elapsed: 0.228 s
% 2.23/0.66 % (16389)Instructions burned: 25 (million)
% 2.23/0.66 % (16389)------------------------------
% 2.23/0.66 % (16389)------------------------------
% 2.23/0.67 % (16362)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.23/0.68 % (16371)First to succeed.
% 2.23/0.68 % (16382)Instruction limit reached!
% 2.23/0.68 % (16382)------------------------------
% 2.23/0.68 % (16382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (16382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (16382)Termination reason: Unknown
% 2.23/0.68 % (16382)Termination phase: Saturation
% 2.23/0.68
% 2.23/0.68 % (16382)Memory used [KB]: 6396
% 2.23/0.68 % (16382)Time elapsed: 0.262 s
% 2.23/0.68 % (16382)Instructions burned: 31 (million)
% 2.23/0.68 % (16382)------------------------------
% 2.23/0.68 % (16382)------------------------------
% 2.23/0.68 % (16421)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.23/0.69 % (16391)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 2.23/0.69 % (16383)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.34/0.70 % (16371)Refutation found. Thanks to Tanya!
% 2.34/0.70 % SZS status Theorem for theBenchmark
% 2.34/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.70 % (16371)------------------------------
% 2.34/0.70 % (16371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (16371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (16371)Termination reason: Refutation
% 2.34/0.70
% 2.34/0.70 % (16371)Memory used [KB]: 6396
% 2.34/0.70 % (16371)Time elapsed: 0.215 s
% 2.34/0.70 % (16371)Instructions burned: 28 (million)
% 2.34/0.70 % (16371)------------------------------
% 2.34/0.70 % (16371)------------------------------
% 2.34/0.70 % (16361)Success in time 0.339 s
%------------------------------------------------------------------------------