TSTP Solution File: NUN060+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : n020.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 18:08:01 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 232 ( 42 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 267 ( 93 ~; 60 |; 100 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 208 ( 131 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f170,plain,
$false,
inference(subsumption_resolution,[],[f104,f167]) ).
fof(f167,plain,
! [X1] : ~ r1(X1),
inference(subsumption_resolution,[],[f140,f160]) ).
fof(f160,plain,
! [X1] : ~ sP20(X1),
inference(subsumption_resolution,[],[f143,f153]) ).
fof(f153,plain,
! [X1] : ~ sP21(X1),
inference(subsumption_resolution,[],[f146,f149]) ).
fof(f149,plain,
! [X0] : ~ sP22(X0),
inference(resolution,[],[f148,f110]) ).
fof(f110,plain,
! [X0] : r2(X0,sK16(X0)),
inference(equality_resolution,[],[f88]) ).
fof(f88,plain,
! [X2,X0] :
( r2(X0,X2)
| sK16(X0) != X2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X2] :
( ( sK16(X0) = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& sK16(X0) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f16,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& X1 != X2 ) )
=> ! [X2] :
( ( sK16(X0) = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& sK16(X0) != X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& X1 != X2 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 != X4
& ~ r2(X2,X4) )
| ( X3 = X4
& r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f148,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| ~ sP22(X4) ),
inference(subsumption_resolution,[],[f120,f134]) ).
fof(f134,plain,
! [X0] : ~ sP23(X0),
inference(resolution,[],[f79,f121]) ).
fof(f121,plain,
! [X2,X3,X1] :
( ~ r3(X2,X3,X1)
| ~ sP23(X3) ),
inference(general_splitting,[],[f119,f120_D]) ).
fof(f119,plain,
! [X2,X3,X1,X4] :
( ~ r3(X2,X3,X1)
| ~ r2(X4,X3)
| ~ sP22(X4) ),
inference(general_splitting,[],[f117,f118_D]) ).
fof(f118,plain,
! [X4,X5] :
( ~ r2(X5,X4)
| sP22(X4)
| ~ sP21(X5) ),
inference(cnf_transformation,[],[f118_D]) ).
fof(f118_D,plain,
! [X4] :
( ! [X5] :
( ~ r2(X5,X4)
| ~ sP21(X5) )
<=> ~ sP22(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f117,plain,
! [X2,X3,X1,X4,X5] :
( ~ r3(X2,X3,X1)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ sP21(X5) ),
inference(general_splitting,[],[f115,f116_D]) ).
fof(f116,plain,
! [X6,X5] :
( ~ r2(X6,X5)
| sP21(X5)
| ~ sP20(X6) ),
inference(cnf_transformation,[],[f116_D]) ).
fof(f116_D,plain,
! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ sP20(X6) )
<=> ~ sP21(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f115,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ r3(X2,X3,X1)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ sP20(X6) ),
inference(general_splitting,[],[f113,f114_D]) ).
fof(f114,plain,
! [X6,X7] :
( ~ r2(X7,X6)
| ~ r1(X7)
| sP20(X6) ),
inference(cnf_transformation,[],[f114_D]) ).
fof(f114_D,plain,
! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
<=> ~ sP20(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f113,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r3(X2,X3,X1)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X0 != X1
| ~ r3(X2,X3,X0)
| ~ r2(X4,X3)
| ~ r2(X5,X4)
| ~ r2(X6,X5)
| ~ r1(X7)
| ~ r2(X7,X6) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( X0 != X1
| ! [X3] :
( ~ r3(X2,X3,X0)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) ) ) ) ) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0,X2] :
( X0 != X1
| ! [X3] :
( ~ r3(X2,X3,X1)
| ! [X4] :
( ~ r2(X4,X3)
| ! [X5] :
( ~ r2(X5,X4)
| ! [X6] :
( ~ r2(X6,X5)
| ! [X7] :
( ~ r1(X7)
| ~ r2(X7,X6) ) ) ) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ? [X2,X0,X1] :
( ? [X3] :
( r3(X2,X3,X1)
& ? [X4] :
( r2(X4,X3)
& ? [X5] :
( r2(X5,X4)
& ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) ) ) ) )
& X0 = X1 ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38,X22,X21] :
( X22 = X38
& ? [X15] :
( ? [X16] :
( ? [X24] :
( ? [X18] :
( ? [X33] :
( r1(X33)
& r2(X33,X18) )
& r2(X18,X24) )
& r2(X24,X16) )
& r2(X16,X15) )
& r3(X21,X15,X22) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38,X22,X21] :
( X22 = X38
& ? [X15] :
( ? [X16] :
( ? [X24] :
( ? [X18] :
( ? [X33] :
( r1(X33)
& r2(X33,X18) )
& r2(X18,X24) )
& r2(X24,X16) )
& r2(X16,X15) )
& r3(X21,X15,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',greq4) ).
fof(f79,plain,
! [X0,X1] : r3(X1,X0,sK14(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( r2(X0,sK13(X0,X1))
& r3(X1,sK13(X0,X1),sK12(X0,X1))
& sK12(X0,X1) = sK11(X0,X1)
& r2(sK14(X0,X1),sK11(X0,X1))
& r3(X1,X0,sK14(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14])],[f43,f47,f46,f45,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) ) )
=> ( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& sK11(X0,X1) = X3 )
& ? [X5] :
( r2(X5,sK11(X0,X1))
& r3(X1,X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& sK11(X0,X1) = X3 )
=> ( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK12(X0,X1)) )
& sK12(X0,X1) = sK11(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,sK12(X0,X1)) )
=> ( r2(X0,sK13(X0,X1))
& r3(X1,sK13(X0,X1),sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X5] :
( r2(X5,sK11(X0,X1))
& r3(X1,X0,X5) )
=> ( r2(sK14(X0,X1),sK11(X0,X1))
& r3(X1,X0,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r2(X0,X4)
& r3(X1,X4,X3) )
& X2 = X3 )
& ? [X5] :
( r2(X5,X2)
& r3(X1,X0,X5) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
? [X2] :
( ? [X4] :
( ? [X5] :
( r2(X1,X5)
& r3(X0,X5,X4) )
& X2 = X4 )
& ? [X3] :
( r2(X3,X2)
& r3(X0,X1,X3) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r2(X18,X15)
& r3(X13,X14,X18) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r2(X14,X17)
& r3(X13,X17,X16) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f120,plain,
! [X3,X4] :
( ~ r2(X4,X3)
| sP23(X3)
| ~ sP22(X4) ),
inference(cnf_transformation,[],[f120_D]) ).
fof(f120_D,plain,
! [X3] :
( ! [X4] :
( ~ r2(X4,X3)
| ~ sP22(X4) )
<=> ~ sP23(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f146,plain,
! [X2,X1] :
( sP22(sK3(X1,X2))
| ~ sP21(X1) ),
inference(resolution,[],[f118,f60]) ).
fof(f60,plain,
! [X0,X1] : r2(X0,sK3(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( r4(X1,X0,sK1(X0,X1))
& r3(sK1(X0,X1),X1,sK0(X0,X1))
& sK2(X0,X1) = sK0(X0,X1)
& r4(X1,sK3(X0,X1),sK2(X0,X1))
& r2(X0,sK3(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f26,f30,f29,f28,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) ) )
=> ( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK0(X0,X1)) )
& ? [X4] :
( sK0(X0,X1) = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,sK0(X0,X1)) )
=> ( r4(X1,X0,sK1(X0,X1))
& r3(sK1(X0,X1),X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X4] :
( sK0(X0,X1) = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) )
=> ( sK2(X0,X1) = sK0(X0,X1)
& ? [X5] :
( r4(X1,X5,sK2(X0,X1))
& r2(X0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X5,sK2(X0,X1))
& r2(X0,X5) )
=> ( r4(X1,sK3(X0,X1),sK2(X0,X1))
& r2(X0,sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X1,X0,X3)
& r3(X3,X1,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
? [X2] :
( ? [X5] :
( r4(X0,X1,X5)
& r3(X5,X0,X2) )
& ? [X3] :
( X2 = X3
& ? [X4] :
( r4(X0,X4,X3)
& r2(X1,X4) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X22] :
( ? [X23] :
( r2(X20,X23)
& r4(X19,X23,X22) )
& X21 = X22 )
& ? [X24] :
( r3(X24,X19,X21)
& r4(X19,X20,X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f143,plain,
! [X2,X1] :
( sP21(sK3(X1,X2))
| ~ sP20(X1) ),
inference(resolution,[],[f116,f60]) ).
fof(f140,plain,
! [X2,X1] :
( sP20(sK3(X1,X2))
| ~ r1(X1) ),
inference(resolution,[],[f114,f60]) ).
fof(f104,plain,
r1(sK4),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X1] :
( r1(X1)
| sK4 != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X1] :
( ( sK4 = X1
& r1(X1) )
| ( ~ r1(X1)
& sK4 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f1,f32]) ).
fof(f32,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( ~ r1(X1)
& X0 != X1 ) )
=> ! [X1] :
( ( sK4 = X1
& r1(X1) )
| ( ~ r1(X1)
& sK4 != X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( ~ r1(X1)
& X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 09:44:45 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.56 % (29550)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (29564)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.56 % (29565)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)
% 0.21/0.56 % (29566)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.57 % (29556)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)
% 0.21/0.57 % (29548)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)
% 0.21/0.57 % (29558)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)
% 0.21/0.57 % (29550)Instruction limit reached!
% 0.21/0.57 % (29550)------------------------------
% 0.21/0.57 % (29550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (29550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (29550)Termination reason: Unknown
% 0.21/0.57 % (29550)Termination phase: Preprocessing 2
% 0.21/0.57
% 0.21/0.57 % (29550)Memory used [KB]: 895
% 0.21/0.57 % (29550)Time elapsed: 0.004 s
% 0.21/0.57 % (29550)Instructions burned: 2 (million)
% 0.21/0.57 % (29550)------------------------------
% 0.21/0.57 % (29550)------------------------------
% 0.21/0.57 % (29557)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)
% 0.21/0.57 TRYING [1]
% 0.21/0.57 TRYING [2]
% 0.21/0.57 % (29549)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 TRYING [3]
% 0.21/0.58 % (29558)First to succeed.
% 0.21/0.58 % (29549)Instruction limit reached!
% 0.21/0.58 % (29549)------------------------------
% 0.21/0.58 % (29549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (29549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (29549)Termination reason: Unknown
% 0.21/0.58 % (29549)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (29549)Memory used [KB]: 5500
% 0.21/0.58 % (29549)Time elapsed: 0.136 s
% 0.21/0.58 % (29549)Instructions burned: 7 (million)
% 0.21/0.58 % (29549)------------------------------
% 0.21/0.58 % (29549)------------------------------
% 0.21/0.58 % (29557)Also succeeded, but the first one will report.
% 0.21/0.59 % (29558)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Theorem for theBenchmark
% 0.21/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (29558)------------------------------
% 0.21/0.59 % (29558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (29558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (29558)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (29558)Memory used [KB]: 5500
% 0.21/0.59 % (29558)Time elapsed: 0.144 s
% 0.21/0.59 % (29558)Instructions burned: 5 (million)
% 0.21/0.59 % (29558)------------------------------
% 0.21/0.59 % (29558)------------------------------
% 0.21/0.59 % (29541)Success in time 0.222 s
%------------------------------------------------------------------------------