TSTP Solution File: ALG177+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG177+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n005.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 15:43:22 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 5 unt; 0 def)
% Number of atoms : 180 ( 48 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 211 ( 78 ~; 63 |; 37 &)
% ( 2 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 76 ( 70 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f301,plain,
$false,
inference(avatar_sat_refutation,[],[f155,f174,f297]) ).
fof(f297,plain,
( ~ spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f295,f166]) ).
fof(f166,plain,
( op1(sK1,j(sK0(h(sK1)))) != j(sK0(h(sK1)))
| ~ spl2_5 ),
inference(resolution,[],[f136,f54]) ).
fof(f54,plain,
! [X1] :
( ~ sorti2(X1)
| j(sK0(X1)) != op1(sK1,j(sK0(X1))) ),
inference(resolution,[],[f37,f21]) ).
fof(f21,plain,
! [X0] :
( sorti2(sK0(X0))
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ~ sorti2(X0)
| ( sorti2(sK0(X0))
& sK0(X0) = op2(X0,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f12,f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( sorti2(X1)
& op2(X0,X1) = X1 )
=> ( sorti2(sK0(X0))
& sK0(X0) = op2(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
! [X0] :
( ~ sorti2(X0)
| ? [X1] :
( sorti2(X1)
& op2(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ? [X0] :
( sorti2(X0)
& ! [X1] :
( sorti2(X1)
=> op2(X0,X1) != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f37,plain,
! [X0] :
( ~ sorti2(X0)
| op1(sK1,j(X0)) != j(X0) ),
inference(resolution,[],[f29,f23]) ).
fof(f23,plain,
! [X5] :
( sorti1(j(X5))
| ~ sorti2(X5) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ! [X0] :
( ~ sorti2(X0)
| ! [X1] :
( op1(j(X0),j(X1)) = j(op2(X0,X1))
| ~ sorti2(X1) ) )
& ! [X2] :
( ~ sorti1(X2)
| sorti2(h(X2)) )
& ! [X3] :
( j(h(X3)) = X3
| ~ sorti1(X3) )
& ! [X4] :
( ~ sorti2(X4)
| h(j(X4)) = X4 )
& ! [X5] :
( ~ sorti2(X5)
| sorti1(j(X5)) )
& ! [X6] :
( ! [X7] :
( ~ sorti1(X7)
| op2(h(X6),h(X7)) = h(op1(X6,X7)) )
| ~ sorti1(X6) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
( ! [X5] :
( ~ sorti2(X5)
| ! [X6] :
( op1(j(X5),j(X6)) = j(op2(X5,X6))
| ~ sorti2(X6) ) )
& ! [X1] :
( ~ sorti1(X1)
| sorti2(h(X1)) )
& ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X7] :
( ~ sorti2(X7)
| h(j(X7)) = X7 )
& ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) )
& ! [X3] :
( ! [X4] :
( ~ sorti1(X4)
| op2(h(X3),h(X4)) = h(op1(X3,X4)) )
| ~ sorti1(X3) ) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X5] :
( ~ sorti2(X5)
| ! [X6] :
( op1(j(X5),j(X6)) = j(op2(X5,X6))
| ~ sorti2(X6) ) )
& ! [X3] :
( ! [X4] :
( ~ sorti1(X4)
| op2(h(X3),h(X4)) = h(op1(X3,X4)) )
| ~ sorti1(X3) )
& ! [X7] :
( ~ sorti2(X7)
| h(j(X7)) = X7 )
& ! [X1] :
( ~ sorti1(X1)
| sorti2(h(X1)) )
& ! [X0] :
( ~ sorti2(X0)
| sorti1(j(X0)) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) )
& ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 )
& ! [X5] :
( sorti2(X5)
=> ! [X6] :
( sorti2(X6)
=> op1(j(X5),j(X6)) = j(op2(X5,X6)) ) )
& ! [X3] :
( sorti1(X3)
=> ! [X4] :
( sorti1(X4)
=> op2(h(X3),h(X4)) = h(op1(X3,X4)) ) )
& ! [X7] :
( sorti2(X7)
=> h(j(X7)) = 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 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 ) ) ),
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 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f29,plain,
! [X1] :
( ~ sorti1(X1)
| op1(sK1,X1) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X1] :
( ~ sorti1(X1)
| op1(sK1,X1) != X1 )
& sorti1(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f8,f17]) ).
fof(f17,plain,
( ? [X0] :
( ! [X1] :
( ~ sorti1(X1)
| op1(X0,X1) != X1 )
& sorti1(X0) )
=> ( ! [X1] :
( ~ sorti1(X1)
| op1(sK1,X1) != X1 )
& sorti1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ sorti1(X1)
| op1(X0,X1) != X1 )
& sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( ! [X1] :
( sorti1(X1)
=> op1(X0,X1) != X1 )
& sorti1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f136,plain,
( sorti2(h(sK1))
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl2_5
<=> sorti2(h(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f295,plain,
( op1(sK1,j(sK0(h(sK1)))) = j(sK0(h(sK1)))
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f292,f125]) ).
fof(f125,plain,
op2(h(sK1),sK0(h(sK1))) = sK0(h(sK1)),
inference(resolution,[],[f41,f28]) ).
fof(f28,plain,
sorti1(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f41,plain,
! [X0] :
( ~ sorti1(X0)
| sK0(h(X0)) = op2(h(X0),sK0(h(X0))) ),
inference(resolution,[],[f20,f26]) ).
fof(f26,plain,
! [X2] :
( sorti2(h(X2))
| ~ sorti1(X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f20,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(X0) = op2(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f292,plain,
( op1(sK1,j(sK0(h(sK1)))) = j(op2(h(sK1),sK0(h(sK1))))
| ~ spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f171,f66]) ).
fof(f66,plain,
( sorti2(sK0(h(sK1)))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl2_1
<=> sorti2(sK0(h(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f171,plain,
( ! [X1] :
( ~ sorti2(X1)
| j(op2(h(sK1),X1)) = op1(sK1,j(X1)) )
| ~ spl2_5 ),
inference(forward_demodulation,[],[f159,f33]) ).
fof(f33,plain,
j(h(sK1)) = sK1,
inference(resolution,[],[f25,f28]) ).
fof(f25,plain,
! [X3] :
( ~ sorti1(X3)
| j(h(X3)) = X3 ),
inference(cnf_transformation,[],[f16]) ).
fof(f159,plain,
( ! [X1] :
( j(op2(h(sK1),X1)) = op1(j(h(sK1)),j(X1))
| ~ sorti2(X1) )
| ~ spl2_5 ),
inference(resolution,[],[f136,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti2(X0)
| op1(j(X0),j(X1)) = j(op2(X0,X1)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f174,plain,
( spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f172,f136]) ).
fof(f172,plain,
( ~ sorti2(h(sK1))
| spl2_1 ),
inference(resolution,[],[f65,f21]) ).
fof(f65,plain,
( ~ sorti2(sK0(h(sK1)))
| spl2_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f155,plain,
spl2_5,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl2_5 ),
inference(subsumption_resolution,[],[f153,f28]) ).
fof(f153,plain,
( ~ sorti1(sK1)
| spl2_5 ),
inference(resolution,[],[f137,f26]) ).
fof(f137,plain,
( ~ sorti2(h(sK1))
| spl2_5 ),
inference(avatar_component_clause,[],[f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG177+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.13 % 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 : n005.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:57:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.47 % (22062)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)
% 0.21/0.47 % (22053)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.48 % (22062)First to succeed.
% 0.21/0.49 % (22053)Instruction limit reached!
% 0.21/0.49 % (22053)------------------------------
% 0.21/0.49 % (22053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (22053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (22053)Termination reason: Unknown
% 0.21/0.49 % (22053)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (22053)Memory used [KB]: 5500
% 0.21/0.49 % (22053)Time elapsed: 0.086 s
% 0.21/0.49 % (22053)Instructions burned: 7 (million)
% 0.21/0.49 % (22053)------------------------------
% 0.21/0.49 % (22053)------------------------------
% 0.21/0.49 % (22062)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (22062)------------------------------
% 0.21/0.49 % (22062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (22062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (22062)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (22062)Memory used [KB]: 5628
% 0.21/0.49 % (22062)Time elapsed: 0.085 s
% 0.21/0.49 % (22062)Instructions burned: 14 (million)
% 0.21/0.49 % (22062)------------------------------
% 0.21/0.49 % (22062)------------------------------
% 0.21/0.49 % (22045)Success in time 0.141 s
%------------------------------------------------------------------------------