TSTP Solution File: ALG177+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG177+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 04:27:07 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 145 ( 8 unt; 0 def)
% Number of atoms : 415 ( 70 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 461 ( 191 ~; 186 |; 37 &)
% ( 12 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 102 ( 96 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f574,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f69,f78,f112,f115,f126,f166,f169,f338,f353,f379,f410,f413,f439,f470,f474,f502,f573]) ).
fof(f573,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| ~ spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f571,f59]) ).
fof(f59,plain,
( sorti1(j(sK0(h(sK1))))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl2_1
<=> sorti1(j(sK0(h(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f571,plain,
( ~ sorti1(j(sK0(h(sK1))))
| ~ spl2_1
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f569]) ).
fof(f569,plain,
( j(sK0(h(sK1))) != j(sK0(h(sK1)))
| ~ sorti1(j(sK0(h(sK1))))
| ~ spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f30,f563]) ).
fof(f563,plain,
( j(sK0(h(sK1))) = op1(sK1,j(sK0(h(sK1))))
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f562,f136]) ).
fof(f136,plain,
sK0(h(sK1)) = op2(h(sK1),sK0(h(sK1))),
inference(resolution,[],[f47,f29]) ).
fof(f29,plain,
sorti1(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X1] :
( op1(sK1,X1) != X1
| ~ sorti1(X1) )
& sorti1(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f17]) ).
fof(f17,plain,
( ? [X0] :
( ! [X1] :
( op1(X0,X1) != X1
| ~ sorti1(X1) )
& sorti1(X0) )
=> ( ! [X1] :
( op1(sK1,X1) != X1
| ~ sorti1(X1) )
& sorti1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( op1(X0,X1) != X1
| ~ sorti1(X1) )
& sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( ! [X1] :
( sorti1(X1)
=> op1(X0,X1) != X1 )
& sorti1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f47,plain,
! [X0] :
( ~ sorti1(X0)
| sK0(h(X0)) = op2(h(X0),sK0(h(X0))) ),
inference(resolution,[],[f26,f19]) ).
fof(f19,plain,
! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] :
( j(h(X0)) = X0
| ~ sorti1(X0) )
& ! [X1] :
( h(j(X1)) = X1
| ~ sorti2(X1) )
& ! [X2] :
( ! [X3] :
( j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X3) )
| ~ sorti2(X2) )
& ! [X4] :
( ! [X5] :
( h(op1(X4,X5)) = op2(h(X4),h(X5))
| ~ sorti1(X5) )
| ~ sorti1(X4) )
& ! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) )
& ! [X7] :
( sorti2(h(X7))
| ~ sorti1(X7) ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) )
& ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 )
& ! [X3] :
( sorti2(X3)
=> h(j(X3)) = X3 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti1(X6)
=> ! [X7] :
( sorti1(X7)
=> h(op1(X6,X7)) = op2(h(X6),h(X7)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f26,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(X0) = op2(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( sK0(X0) = op2(X0,sK0(X0))
& sorti2(sK0(X0)) )
| ~ sorti2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f10,f15]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
( op2(X0,X1) = X1
& sorti2(X1) )
=> ( sK0(X0) = op2(X0,sK0(X0))
& sorti2(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
! [X0] :
( ? [X1] :
( op2(X0,X1) = X1
& sorti2(X1) )
| ~ sorti2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ? [X0] :
( ! [X1] :
( sorti2(X1)
=> op2(X0,X1) != X1 )
& sorti2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f562,plain,
( op1(sK1,j(sK0(h(sK1)))) = j(op2(h(sK1),sK0(h(sK1))))
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f553,f53]) ).
fof(f53,plain,
sK0(h(sK1)) = h(j(sK0(h(sK1)))),
inference(resolution,[],[f38,f29]) ).
fof(f38,plain,
! [X0] :
( ~ sorti1(X0)
| sK0(h(X0)) = h(j(sK0(h(X0)))) ),
inference(resolution,[],[f32,f19]) ).
fof(f32,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(X0) = h(j(sK0(X0))) ),
inference(resolution,[],[f23,f25]) ).
fof(f25,plain,
! [X0] :
( sorti2(sK0(X0))
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f23,plain,
! [X1] :
( ~ sorti2(X1)
| h(j(X1)) = X1 ),
inference(cnf_transformation,[],[f14]) ).
fof(f553,plain,
( op1(sK1,j(h(j(sK0(h(sK1)))))) = j(op2(h(sK1),h(j(sK0(h(sK1))))))
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f484,f59]) ).
fof(f484,plain,
( ! [X0] :
( ~ sorti1(X0)
| op1(sK1,j(h(X0))) = j(op2(h(sK1),h(X0))) )
| ~ spl2_5 ),
inference(forward_demodulation,[],[f476,f33]) ).
fof(f33,plain,
sK1 = j(h(sK1)),
inference(resolution,[],[f24,f29]) ).
fof(f24,plain,
! [X0] :
( ~ sorti1(X0)
| j(h(X0)) = X0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f476,plain,
( ! [X0] :
( j(op2(h(sK1),h(X0))) = op1(j(h(sK1)),j(h(X0)))
| ~ sorti1(X0) )
| ~ spl2_5 ),
inference(resolution,[],[f151,f160]) ).
fof(f160,plain,
( sorti2(h(sK1))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl2_5
<=> sorti2(h(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sorti2(X0)
| j(op2(X0,h(X1))) = op1(j(X0),j(h(X1)))
| ~ sorti1(X1) ),
inference(resolution,[],[f22,f19]) ).
fof(f22,plain,
! [X2,X3] :
( ~ sorti2(X3)
| j(op2(X2,X3)) = op1(j(X2),j(X3))
| ~ sorti2(X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X1] :
( op1(sK1,X1) != X1
| ~ sorti1(X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f502,plain,
( spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f501,plain,
( $false
| spl2_11
| ~ spl2_12 ),
inference(subsumption_resolution,[],[f500,f469]) ).
fof(f469,plain,
( sorti1(op1(sK1,op1(sK1,sK1)))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl2_12
<=> sorti1(op1(sK1,op1(sK1,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f500,plain,
( ~ sorti1(op1(sK1,op1(sK1,sK1)))
| spl2_11 ),
inference(resolution,[],[f465,f19]) ).
fof(f465,plain,
( ~ sorti2(h(op1(sK1,op1(sK1,sK1))))
| spl2_11 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f463,plain,
( spl2_11
<=> sorti2(h(op1(sK1,op1(sK1,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f474,plain,
( ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f472,f29]) ).
fof(f472,plain,
( ~ sorti1(sK1)
| ~ spl2_5
| ~ spl2_6
| spl2_12 ),
inference(subsumption_resolution,[],[f471,f200]) ).
fof(f200,plain,
( sorti1(op1(sK1,sK1))
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f199,f165]) ).
fof(f165,plain,
( sorti2(h(op1(sK1,sK1)))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl2_6
<=> sorti2(h(op1(sK1,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f199,plain,
( sorti1(op1(sK1,sK1))
| ~ sorti2(h(op1(sK1,sK1)))
| ~ spl2_5 ),
inference(superposition,[],[f20,f198]) ).
fof(f198,plain,
( op1(sK1,sK1) = j(h(op1(sK1,sK1)))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f197,f33]) ).
fof(f197,plain,
( j(h(op1(sK1,sK1))) = op1(j(h(sK1)),sK1)
| ~ spl2_5 ),
inference(forward_demodulation,[],[f191,f144]) ).
fof(f144,plain,
h(op1(sK1,sK1)) = op2(h(sK1),h(sK1)),
inference(resolution,[],[f94,f29]) ).
fof(f94,plain,
! [X0] :
( ~ sorti1(X0)
| h(op1(X0,sK1)) = op2(h(X0),h(sK1)) ),
inference(resolution,[],[f21,f29]) ).
fof(f21,plain,
! [X4,X5] :
( ~ sorti1(X5)
| h(op1(X4,X5)) = op2(h(X4),h(X5))
| ~ sorti1(X4) ),
inference(cnf_transformation,[],[f14]) ).
fof(f191,plain,
( op1(j(h(sK1)),sK1) = j(op2(h(sK1),h(sK1)))
| ~ spl2_5 ),
inference(resolution,[],[f178,f160]) ).
fof(f178,plain,
( ! [X0] :
( ~ sorti2(X0)
| op1(j(X0),sK1) = j(op2(X0,h(sK1))) )
| ~ spl2_5 ),
inference(forward_demodulation,[],[f170,f33]) ).
fof(f170,plain,
( ! [X0] :
( j(op2(X0,h(sK1))) = op1(j(X0),j(h(sK1)))
| ~ sorti2(X0) )
| ~ spl2_5 ),
inference(resolution,[],[f160,f22]) ).
fof(f20,plain,
! [X6] :
( sorti1(j(X6))
| ~ sorti2(X6) ),
inference(cnf_transformation,[],[f14]) ).
fof(f471,plain,
( ~ sorti1(op1(sK1,sK1))
| ~ sorti1(sK1)
| spl2_12 ),
inference(resolution,[],[f468,f27]) ).
fof(f27,plain,
! [X0,X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1)
| ~ sorti1(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( sorti1(op1(X0,X1))
| ~ sorti1(X1) )
| ~ sorti1(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> sorti1(op1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f468,plain,
( ~ sorti1(op1(sK1,op1(sK1,sK1)))
| spl2_12 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f470,plain,
( ~ spl2_11
| spl2_12
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f328,f163,f159,f467,f463]) ).
fof(f328,plain,
( sorti1(op1(sK1,op1(sK1,sK1)))
| ~ sorti2(h(op1(sK1,op1(sK1,sK1))))
| ~ spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f20,f309]) ).
fof(f309,plain,
( op1(sK1,op1(sK1,sK1)) = j(h(op1(sK1,op1(sK1,sK1))))
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f303,f198]) ).
fof(f303,plain,
( op1(sK1,j(h(op1(sK1,sK1)))) = j(h(op1(sK1,j(h(op1(sK1,sK1))))))
| ~ spl2_6 ),
inference(resolution,[],[f215,f165]) ).
fof(f215,plain,
! [X0] :
( ~ sorti2(X0)
| op1(sK1,j(X0)) = j(h(op1(sK1,j(X0)))) ),
inference(resolution,[],[f208,f20]) ).
fof(f208,plain,
! [X0] :
( ~ sorti1(X0)
| op1(sK1,X0) = j(h(op1(sK1,X0))) ),
inference(resolution,[],[f43,f29]) ).
fof(f43,plain,
! [X0,X1] :
( ~ sorti1(X1)
| ~ sorti1(X0)
| op1(X1,X0) = j(h(op1(X1,X0))) ),
inference(resolution,[],[f27,f24]) ).
fof(f439,plain,
( spl2_9
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| spl2_9
| ~ spl2_10 ),
inference(subsumption_resolution,[],[f437,f409]) ).
fof(f409,plain,
( sorti2(sK0(sK0(sK0(h(sK1)))))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f407,plain,
( spl2_10
<=> sorti2(sK0(sK0(sK0(h(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f437,plain,
( ~ sorti2(sK0(sK0(sK0(h(sK1)))))
| spl2_9 ),
inference(resolution,[],[f405,f20]) ).
fof(f405,plain,
( ~ sorti1(j(sK0(sK0(sK0(h(sK1))))))
| spl2_9 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f403,plain,
( spl2_9
<=> sorti1(j(sK0(sK0(sK0(h(sK1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f413,plain,
( ~ spl2_4
| spl2_10 ),
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f412,plain,
( $false
| ~ spl2_4
| spl2_10 ),
inference(subsumption_resolution,[],[f411,f111]) ).
fof(f111,plain,
( sorti2(sK0(sK0(h(sK1))))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl2_4
<=> sorti2(sK0(sK0(h(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f411,plain,
( ~ sorti2(sK0(sK0(h(sK1))))
| spl2_10 ),
inference(resolution,[],[f408,f25]) ).
fof(f408,plain,
( ~ sorti2(sK0(sK0(sK0(h(sK1)))))
| spl2_10 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f410,plain,
( ~ spl2_9
| spl2_10
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f327,f159,f407,f403]) ).
fof(f327,plain,
( sorti2(sK0(sK0(sK0(h(sK1)))))
| ~ sorti1(j(sK0(sK0(sK0(h(sK1))))))
| ~ spl2_5 ),
inference(superposition,[],[f19,f268]) ).
fof(f268,plain,
( sK0(sK0(sK0(h(sK1)))) = h(j(sK0(sK0(sK0(h(sK1))))))
| ~ spl2_5 ),
inference(resolution,[],[f85,f160]) ).
fof(f85,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(sK0(sK0(X0))) = h(j(sK0(sK0(sK0(X0))))) ),
inference(resolution,[],[f39,f25]) ).
fof(f39,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(sK0(X0)) = h(j(sK0(sK0(X0)))) ),
inference(resolution,[],[f32,f25]) ).
fof(f379,plain,
( spl2_7
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| spl2_7
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f377,f337]) ).
fof(f337,plain,
( sorti2(sK0(h(op1(sK1,sK1))))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f335,plain,
( spl2_8
<=> sorti2(sK0(h(op1(sK1,sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f377,plain,
( ~ sorti2(sK0(h(op1(sK1,sK1))))
| spl2_7 ),
inference(resolution,[],[f333,f20]) ).
fof(f333,plain,
( ~ sorti1(j(sK0(h(op1(sK1,sK1)))))
| spl2_7 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl2_7
<=> sorti1(j(sK0(h(op1(sK1,sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f353,plain,
( ~ spl2_6
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl2_6
| spl2_8 ),
inference(subsumption_resolution,[],[f351,f165]) ).
fof(f351,plain,
( ~ sorti2(h(op1(sK1,sK1)))
| spl2_8 ),
inference(resolution,[],[f336,f25]) ).
fof(f336,plain,
( ~ sorti2(sK0(h(op1(sK1,sK1))))
| spl2_8 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f338,plain,
( ~ spl2_7
| spl2_8
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f310,f163,f335,f331]) ).
fof(f310,plain,
( sorti2(sK0(h(op1(sK1,sK1))))
| ~ sorti1(j(sK0(h(op1(sK1,sK1)))))
| ~ spl2_6 ),
inference(superposition,[],[f19,f184]) ).
fof(f184,plain,
( sK0(h(op1(sK1,sK1))) = h(j(sK0(h(op1(sK1,sK1)))))
| ~ spl2_6 ),
inference(resolution,[],[f165,f32]) ).
fof(f169,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| spl2_5 ),
inference(subsumption_resolution,[],[f167,f29]) ).
fof(f167,plain,
( ~ sorti1(sK1)
| spl2_5 ),
inference(resolution,[],[f161,f19]) ).
fof(f161,plain,
( ~ sorti2(h(sK1))
| spl2_5 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f166,plain,
( ~ spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f157,f163,f159]) ).
fof(f157,plain,
( sorti2(h(op1(sK1,sK1)))
| ~ sorti2(h(sK1)) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f156,plain,
( sorti2(h(op1(sK1,sK1)))
| ~ sorti2(h(sK1))
| ~ sorti2(h(sK1)) ),
inference(superposition,[],[f28,f144]) ).
fof(f28,plain,
! [X0,X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X1)
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ! [X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X1) )
| ~ sorti2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> sorti2(op2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f126,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| spl2_3
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f124,f111]) ).
fof(f124,plain,
( ~ sorti2(sK0(sK0(h(sK1))))
| spl2_3 ),
inference(resolution,[],[f107,f20]) ).
fof(f107,plain,
( ~ sorti1(j(sK0(sK0(h(sK1)))))
| spl2_3 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl2_3
<=> sorti1(j(sK0(sK0(h(sK1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f115,plain,
( ~ spl2_2
| spl2_4 ),
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f114,plain,
( $false
| ~ spl2_2
| spl2_4 ),
inference(subsumption_resolution,[],[f113,f64]) ).
fof(f64,plain,
( sorti2(sK0(h(sK1)))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl2_2
<=> sorti2(sK0(h(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f113,plain,
( ~ sorti2(sK0(h(sK1)))
| spl2_4 ),
inference(resolution,[],[f110,f25]) ).
fof(f110,plain,
( ~ sorti2(sK0(sK0(h(sK1))))
| spl2_4 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( ~ spl2_3
| spl2_4
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f103,f62,f109,f105]) ).
fof(f103,plain,
( sorti2(sK0(sK0(h(sK1))))
| ~ sorti1(j(sK0(sK0(h(sK1)))))
| ~ spl2_2 ),
inference(superposition,[],[f19,f73]) ).
fof(f73,plain,
( sK0(sK0(h(sK1))) = h(j(sK0(sK0(h(sK1)))))
| ~ spl2_2 ),
inference(resolution,[],[f64,f32]) ).
fof(f78,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f76,f64]) ).
fof(f76,plain,
( ~ sorti2(sK0(h(sK1)))
| spl2_1 ),
inference(resolution,[],[f60,f20]) ).
fof(f60,plain,
( ~ sorti1(j(sK0(h(sK1))))
| spl2_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f69,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f67,f29]) ).
fof(f67,plain,
( ~ sorti1(sK1)
| spl2_2 ),
inference(resolution,[],[f66,f19]) ).
fof(f66,plain,
( ~ sorti2(h(sK1))
| spl2_2 ),
inference(resolution,[],[f63,f25]) ).
fof(f63,plain,
( ~ sorti2(sK0(h(sK1)))
| spl2_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f56,f62,f58]) ).
fof(f56,plain,
( sorti2(sK0(h(sK1)))
| ~ sorti1(j(sK0(h(sK1)))) ),
inference(superposition,[],[f19,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG177+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 20:01:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (26358)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (26361)WARNING: value z3 for option sas not known
% 0.14/0.36 % (26365)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.36 % (26360)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (26359)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (26361)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (26363)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (26362)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 % (26364)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 % (26361)First to succeed.
% 0.20/0.38 % (26361)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26358"
% 0.20/0.39 % (26361)Refutation found. Thanks to Tanya!
% 0.20/0.39 % SZS status Theorem for theBenchmark
% 0.20/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.39 % (26361)------------------------------
% 0.20/0.39 % (26361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.39 % (26361)Termination reason: Refutation
% 0.20/0.39
% 0.20/0.39 % (26361)Memory used [KB]: 1001
% 0.20/0.39 % (26361)Time elapsed: 0.021 s
% 0.20/0.39 % (26361)Instructions burned: 34 (million)
% 0.20/0.39 % (26358)Success in time 0.038 s
%------------------------------------------------------------------------------