TSTP Solution File: NUN062+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 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 : n029.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 18:08:02 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 137 ( 49 ~; 37 |; 45 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 124 ( 87 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f215,plain,
$false,
inference(resolution,[],[f211,f176]) ).
fof(f176,plain,
! [X2] : id(sK14(X2),X2),
inference(resolution,[],[f165,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( id(X0,X1)
| ~ id(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X15,X14] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f165,plain,
! [X0] : id(X0,sK14(X0)),
inference(resolution,[],[f146,f136]) ).
fof(f136,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f146,plain,
! [X0,X1] :
( ~ id(sK19(sK13,X0),X1)
| id(X0,sK14(X0)) ),
inference(resolution,[],[f129,f123]) ).
fof(f123,plain,
! [X2,X1,X4] :
( ~ r3(sK13,X2,X4)
| ~ id(X4,X1)
| id(X2,sK14(X2)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X1,X2] :
( ( id(X2,sK14(X2))
& r1(sK14(X2)) )
| ! [X4] :
( ~ r3(sK13,X2,X4)
| ~ id(X4,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f65,f67,f66]) ).
fof(f66,plain,
( ? [X0] :
! [X1,X2] :
( ? [X3] :
( id(X2,X3)
& r1(X3) )
| ! [X4] :
( ~ r3(X0,X2,X4)
| ~ id(X4,X1) ) )
=> ! [X2,X1] :
( ? [X3] :
( id(X2,X3)
& r1(X3) )
| ! [X4] :
( ~ r3(sK13,X2,X4)
| ~ id(X4,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X2] :
( ? [X3] :
( id(X2,X3)
& r1(X3) )
=> ( id(X2,sK14(X2))
& r1(sK14(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0] :
! [X1,X2] :
( ? [X3] :
( id(X2,X3)
& r1(X3) )
| ! [X4] :
( ~ r3(X0,X2,X4)
| ~ id(X4,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
? [X0] :
! [X2,X1] :
( ? [X4] :
( id(X1,X4)
& r1(X4) )
| ! [X3] :
( ~ r3(X0,X1,X3)
| ~ id(X3,X2) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0] :
? [X2,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& id(X3,X2) )
& ! [X4] :
( ~ r1(X4)
| ~ id(X1,X4) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X37] :
? [X62,X45] :
( ? [X46] :
( id(X46,X45)
& r3(X37,X62,X46) )
& ! [X39] :
( ~ r1(X39)
| ~ id(X62,X39) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X37] :
? [X62,X45] :
( ? [X46] :
( id(X46,X45)
& r3(X37,X62,X46) )
& ! [X39] :
( ~ r1(X39)
| ~ id(X62,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infiniteNumbersid) ).
fof(f129,plain,
! [X0,X1] : r3(X0,X1,sK19(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( r3(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(X0,X1))
& id(sK17(X0,X1),sK16(X0,X1))
& r3(X0,X1,sK19(X0,X1))
& r2(sK19(X0,X1),sK16(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19])],[f25,f74,f73,f72,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) )
=> ( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,sK16(X0,X1)) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK16(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,sK16(X0,X1)) )
=> ( ? [X4] :
( r3(X0,X4,sK17(X0,X1))
& r2(X1,X4) )
& id(sK17(X0,X1),sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X4] :
( r3(X0,X4,sK17(X0,X1))
& r2(X1,X4) )
=> ( r3(X0,sK18(X0,X1),sK17(X0,X1))
& r2(X1,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X1,X5)
& r2(X5,sK16(X0,X1)) )
=> ( r3(X0,X1,sK19(X0,X1))
& r2(sK19(X0,X1),sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( ? [X4] :
( r3(X0,X4,X3)
& r2(X1,X4) )
& id(X3,X2) )
& ? [X5] :
( r3(X0,X1,X5)
& r2(X5,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) )
& ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1a) ).
fof(f211,plain,
! [X2,X0,X1] : ~ id(X0,sK18(X1,X2)),
inference(subsumption_resolution,[],[f209,f179]) ).
fof(f179,plain,
! [X1] : r1(X1),
inference(subsumption_resolution,[],[f175,f163]) ).
fof(f163,plain,
! [X0] : r1(sK14(X0)),
inference(resolution,[],[f147,f136]) ).
fof(f147,plain,
! [X2,X3] :
( ~ id(sK19(sK13,X2),X3)
| r1(sK14(X2)) ),
inference(resolution,[],[f129,f122]) ).
fof(f122,plain,
! [X2,X1,X4] :
( ~ r3(sK13,X2,X4)
| r1(sK14(X2))
| ~ id(X4,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f175,plain,
! [X1] :
( ~ r1(sK14(X1))
| r1(X1) ),
inference(resolution,[],[f165,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ id(X0,X1)
| r1(X0)
| ~ r1(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X0)
& r1(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X19)
& r1(X20) )
| ~ id(X19,X20)
| ( ~ r1(X20)
& ~ r1(X19) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK18(X1,X2)) ),
inference(resolution,[],[f137,f131]) ).
fof(f131,plain,
! [X0,X1] : r2(X1,sK18(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X2)
| ~ id(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ! [X2] :
( ~ r1(X2)
| ~ id(X2,X0) )
| ~ r2(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X65,X64] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN062+1 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.03/0.13 % 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 : n029.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 09:53:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (32602)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)
% 0.20/0.49 % (32611)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (32627)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)
% 0.20/0.50 % (32608)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.51 % (32618)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)
% 0.20/0.51 % (32630)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51 % (32607)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (32602)Refutation not found, incomplete strategy% (32602)------------------------------
% 0.20/0.51 % (32602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32601)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (32602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32602)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (32602)Memory used [KB]: 5500
% 0.20/0.51 % (32602)Time elapsed: 0.108 s
% 0.20/0.51 % (32602)Instructions burned: 5 (million)
% 0.20/0.51 % (32602)------------------------------
% 0.20/0.51 % (32602)------------------------------
% 0.20/0.51 % (32613)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (32619)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)
% 0.20/0.52 % (32628)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)
% 0.20/0.52 % (32609)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (32616)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (32628)First to succeed.
% 0.20/0.52 % (32634)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (32606)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (32604)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (32612)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (32605)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)
% 0.20/0.53 % (32609)Instruction limit reached!
% 0.20/0.53 % (32609)------------------------------
% 0.20/0.53 % (32609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32609)Termination reason: Unknown
% 0.20/0.53 % (32609)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (32609)Memory used [KB]: 5500
% 0.20/0.53 % (32609)Time elapsed: 0.097 s
% 0.20/0.53 % (32609)Instructions burned: 7 (million)
% 0.20/0.53 % (32609)------------------------------
% 0.20/0.53 % (32609)------------------------------
% 0.20/0.53 % (32629)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (32626)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (32628)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (32628)------------------------------
% 0.20/0.53 % (32628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (32628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (32628)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (32628)Memory used [KB]: 5500
% 0.20/0.53 % (32628)Time elapsed: 0.090 s
% 0.20/0.53 % (32628)Instructions burned: 5 (million)
% 0.20/0.53 % (32628)------------------------------
% 0.20/0.53 % (32628)------------------------------
% 0.20/0.53 % (32596)Success in time 0.178 s
%------------------------------------------------------------------------------