TSTP Solution File: NUN070+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN070+1 : 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 : n001.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 18:08:04 EDT 2022
% Result : Theorem 1.29s 0.52s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 134 ( 23 ~; 18 |; 84 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 0 con; 1-2 aty)
% Number of variables : 118 ( 52 !; 66 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(unit_resulting_resolution,[],[f121,f121,f101,f101,f98,f99,f97,f132]) ).
fof(f132,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r3(X3,X4,X0)
| ~ r2(X5,X3)
| ~ r2(X2,X1)
| ~ id(X0,X1)
| ~ r1(X4)
| ~ r1(X2)
| ~ r1(X5) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) )
| ! [X3] :
( ! [X4] :
( ~ r3(X3,X4,X0)
| ~ r1(X4) )
| ! [X5] :
( ~ r1(X5)
| ~ r2(X5,X3) ) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ~ id(X0,X1)
| ! [X2] :
( ~ r2(X2,X1)
| ~ r1(X2) ) )
| ! [X3] :
( ! [X5] :
( ~ r3(X3,X5,X0)
| ~ r1(X5) )
| ! [X4] :
( ~ r1(X4)
| ~ r2(X4,X3) ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
~ ? [X0] :
( ? [X3] :
( ? [X5] :
( r3(X3,X5,X0)
& r1(X5) )
& ? [X4] :
( r1(X4)
& r2(X4,X3) ) )
& ? [X1] :
( id(X0,X1)
& ? [X2] :
( r2(X2,X1)
& r1(X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X46] :
( ? [X48] :
( r1(X48)
& r2(X48,X46) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r1(X39)
& r3(X45,X39,X62) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( ? [X46] :
( ? [X48] :
( r1(X48)
& r2(X48,X46) )
& id(X62,X46) )
& ? [X45] :
( ? [X40] :
( r2(X40,X45)
& r1(X40) )
& ? [X39] :
( r1(X39)
& r3(X45,X39,X62) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onepluszeroidone) ).
fof(f97,plain,
! [X0] : r3(X0,sK7(X0),sK6(X0)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( id(sK6(X0),X0)
& r1(sK7(X0))
& r3(X0,sK7(X0),sK6(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f34,f51,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) )
=> ( id(sK6(X0),X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,sK6(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r3(X0,X2,sK6(X0)) )
=> ( r1(sK7(X0))
& r3(X0,sK7(X0),sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
? [X1] :
( id(X1,X0)
& ? [X2] :
( r1(X2)
& r3(X0,X2,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).
fof(f99,plain,
! [X0] : id(sK6(X0),X0),
inference(cnf_transformation,[],[f52]) ).
fof(f98,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f52]) ).
fof(f101,plain,
! [X0,X1] : r2(X0,sK11(X0,X1)),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( r3(sK9(X0,X1),X1,sK8(X0,X1))
& r4(X1,X0,sK9(X0,X1))
& r4(X1,sK11(X0,X1),sK10(X0,X1))
& r2(X0,sK11(X0,X1))
& id(sK10(X0,X1),sK8(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f53,f57,f56,f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X3,X1,sK8(X0,X1))
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,sK8(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X3] :
( r3(X3,X1,sK8(X0,X1))
& r4(X1,X0,X3) )
=> ( r3(sK9(X0,X1),X1,sK8(X0,X1))
& r4(X1,X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,sK8(X0,X1)) )
=> ( ? [X5] :
( r4(X1,X5,sK10(X0,X1))
& r2(X0,X5) )
& id(sK10(X0,X1),sK8(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X5] :
( r4(X1,X5,sK10(X0,X1))
& r2(X0,X5) )
=> ( r4(X1,sK11(X0,X1),sK10(X0,X1))
& r2(X0,sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X3,X1,X2)
& r4(X1,X0,X3) )
& ? [X4] :
( ? [X5] :
( r4(X1,X5,X4)
& r2(X0,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
? [X2] :
( ? [X5] :
( r3(X5,X0,X2)
& r4(X0,X1,X5) )
& ? [X3] :
( ? [X4] :
( r4(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X46] :
( id(X46,X45)
& ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) ) )
& ? [X48] :
( r3(X48,X43,X45)
& r4(X43,X44,X48) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).
fof(f121,plain,
! [X0] : r1(sK15(X0)),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( r1(sK15(X0))
& r4(X0,sK15(X0),sK14(X0))
& r1(sK16(X0))
& id(sK14(X0),sK16(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f66,f69,f68,f67]) ).
fof(f67,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& id(X1,X3) ) )
=> ( ? [X2] :
( r1(X2)
& r4(X0,X2,sK14(X0)) )
& ? [X3] :
( r1(X3)
& id(sK14(X0),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,sK14(X0)) )
=> ( r1(sK15(X0))
& r4(X0,sK15(X0),sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& id(sK14(X0),X3) )
=> ( r1(sK16(X0))
& id(sK14(X0),sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& r4(X0,X2,X1) )
& ? [X3] :
( r1(X3)
& id(X1,X3) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0] :
? [X1] :
( ? [X3] :
( r1(X3)
& r4(X0,X3,X1) )
& ? [X2] :
( r1(X2)
& id(X1,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( id(X57,X59)
& r1(X59) )
& ? [X58] :
( r1(X58)
& r4(X56,X58,X57) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN070+1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13 % 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 : n001.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 : Tue Aug 30 10:07:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (17053)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (17046)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)
% 0.19/0.51 % (17072)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)
% 0.19/0.51 % (17053)Instruction limit reached!
% 0.19/0.51 % (17053)------------------------------
% 0.19/0.51 % (17053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17048)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)
% 0.19/0.51 % (17053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17053)Termination reason: Unknown
% 0.19/0.51 % (17053)Termination phase: Blocked clause elimination
% 0.19/0.51
% 0.19/0.51 % (17053)Memory used [KB]: 1023
% 0.19/0.51 % (17053)Time elapsed: 0.003 s
% 0.19/0.51 % (17053)Instructions burned: 3 (million)
% 0.19/0.51 % (17053)------------------------------
% 0.19/0.51 % (17053)------------------------------
% 0.19/0.51 % (17046)First to succeed.
% 1.29/0.52 % (17046)Refutation found. Thanks to Tanya!
% 1.29/0.52 % SZS status Theorem for theBenchmark
% 1.29/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52 % (17046)------------------------------
% 1.29/0.52 % (17046)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (17046)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (17046)Termination reason: Refutation
% 1.29/0.52
% 1.29/0.52 % (17046)Memory used [KB]: 5500
% 1.29/0.52 % (17046)Time elapsed: 0.107 s
% 1.29/0.52 % (17046)Instructions burned: 6 (million)
% 1.29/0.52 % (17046)------------------------------
% 1.29/0.52 % (17046)------------------------------
% 1.29/0.52 % (17044)Success in time 0.169 s
%------------------------------------------------------------------------------