TSTP Solution File: SYN353-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n004.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 19:37:39 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 9 unt; 0 def)
% Number of atoms : 154 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 148 ( 54 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(subsumption_resolution,[],[f312,f293]) ).
fof(f293,plain,
! [X3,X4,X5] : f(X3,X4,X5),
inference(subsumption_resolution,[],[f287,f235]) ).
fof(f235,plain,
! [X3,X4,X5] :
( ~ f(X3,X4,X5)
| f(X4,X5,X3) ),
inference(subsumption_resolution,[],[f230,f140]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ f(X2,X0,X1)
| f(X0,X1,X2)
| f(X1,X2,X0) ),
inference(resolution,[],[f139,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ f(a,a,z(X0,X1,X2))
| f(X1,X2,X0)
| ~ f(X0,X1,X2)
| f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f139,plain,
! [X0] : f(a,a,X0),
inference(subsumption_resolution,[],[f134,f76]) ).
fof(f76,plain,
! [X3] :
( ~ f(a,X3,a)
| f(a,a,X3) ),
inference(subsumption_resolution,[],[f75,f45]) ).
fof(f45,plain,
! [X0] :
( ~ f(a,X0,a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ~ f(a,X0,a)
| f(X0,a,a)
| f(X0,a,a)
| f(a,a,X0) ),
inference(resolution,[],[f41,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ f(X0,z(X0,X1,X2),X1)
| f(X2,X0,X1)
| ~ f(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f41,plain,
! [X1] :
( f(a,z(a,a,X1),a)
| f(a,a,X1)
| f(X1,a,a) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f40,plain,
! [X1] :
( f(X1,a,a)
| f(a,z(a,a,X1),a)
| f(X1,a,a)
| f(a,a,X1) ),
inference(resolution,[],[f38,f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2)
| f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f38,plain,
! [X1] :
( f(z(a,a,X1),a,a)
| f(a,z(a,a,X1),a)
| f(X1,a,a) ),
inference(resolution,[],[f33,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( f(X1,X0,z(X0,X1,X2))
| f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f33,plain,
! [X1] :
( ~ f(a,a,X1)
| f(a,X1,a)
| f(X1,a,a) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
! [X1] :
( f(X1,a,a)
| f(a,X1,a)
| f(X1,a,a)
| ~ f(a,a,X1) ),
inference(resolution,[],[f1,f4]) ).
fof(f75,plain,
! [X3] :
( ~ f(X3,a,a)
| ~ f(a,X3,a)
| f(a,a,X3) ),
inference(resolution,[],[f71,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ f(X1,X0,z(X0,X1,X2))
| ~ f(X2,X0,X1)
| f(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f71,plain,
! [X2] :
( f(a,a,z(a,a,X2))
| ~ f(a,X2,a) ),
inference(subsumption_resolution,[],[f69,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( f(X1,X0,z(X0,X1,X2))
| ~ f(X1,X2,X0)
| ~ f(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f69,plain,
! [X2] :
( f(a,a,z(a,a,X2))
| ~ f(a,X2,a)
| f(a,a,X2) ),
inference(resolution,[],[f66,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ f(X0,z(X0,X1,X2),X1)
| ~ f(X1,X2,X0)
| f(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f66,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| f(a,a,z(a,a,X0)) ),
inference(subsumption_resolution,[],[f65,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| f(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f65,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,z(a,a,X0),a)
| ~ f(a,X0,a) ),
inference(subsumption_resolution,[],[f59,f4]) ).
fof(f59,plain,
! [X0] :
( f(a,z(a,a,X0),a)
| ~ f(X0,a,a)
| f(a,a,z(a,a,X0))
| ~ f(a,X0,a) ),
inference(resolution,[],[f58,f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( f(z(X0,X1,X2),X1,X0)
| ~ f(X1,X2,X0)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f58,plain,
! [X2] :
( ~ f(X2,a,a)
| f(a,a,X2)
| f(a,X2,a) ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f54,plain,
! [X2] :
( ~ f(X2,a,a)
| f(a,X2,a)
| f(a,a,X2)
| f(a,X2,a) ),
inference(resolution,[],[f51,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ f(X1,X0,z(X0,X1,X2))
| f(X1,X2,X0)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f51,plain,
! [X0] :
( f(a,a,z(a,a,X0))
| f(a,X0,a)
| f(a,a,X0) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X0] :
( f(a,X0,a)
| f(a,X0,a)
| f(a,a,z(a,a,X0))
| f(a,a,X0) ),
inference(resolution,[],[f48,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ f(z(X0,X1,X2),X1,X0)
| f(X0,X1,X2)
| f(X1,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f48,plain,
! [X2] :
( f(z(a,a,X2),a,a)
| f(a,a,z(a,a,X2))
| f(a,X2,a) ),
inference(resolution,[],[f45,f8]) ).
fof(f134,plain,
! [X0] :
( f(a,a,X0)
| f(a,X0,a) ),
inference(resolution,[],[f128,f11]) ).
fof(f128,plain,
! [X0] : f(z(a,a,X0),a,a),
inference(resolution,[],[f118,f115]) ).
fof(f115,plain,
! [X2] : f(a,z(a,a,X2),a),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
! [X2] :
( f(a,z(a,a,X2),a)
| f(a,z(a,a,X2),a) ),
inference(resolution,[],[f97,f77]) ).
fof(f77,plain,
! [X1] :
( f(z(a,a,X1),a,a)
| f(a,z(a,a,X1),a) ),
inference(subsumption_resolution,[],[f73,f8]) ).
fof(f73,plain,
! [X1] :
( f(a,z(a,a,X1),a)
| ~ f(a,X1,a)
| f(z(a,a,X1),a,a) ),
inference(resolution,[],[f71,f33]) ).
fof(f97,plain,
! [X2] :
( ~ f(X2,a,a)
| f(a,X2,a) ),
inference(resolution,[],[f84,f3]) ).
fof(f84,plain,
! [X3] : f(a,a,z(a,a,X3)),
inference(subsumption_resolution,[],[f81,f71]) ).
fof(f81,plain,
! [X3] :
( f(a,a,z(a,a,X3))
| f(a,X3,a) ),
inference(resolution,[],[f76,f8]) ).
fof(f118,plain,
! [X2] :
( ~ f(a,X2,a)
| f(X2,a,a) ),
inference(resolution,[],[f115,f7]) ).
fof(f230,plain,
! [X3,X4,X5] :
( f(X4,X5,X3)
| ~ f(X5,X3,X4)
| ~ f(X3,X4,X5) ),
inference(resolution,[],[f227,f6]) ).
fof(f227,plain,
! [X3,X4,X5] :
( f(X3,z(X3,X4,X5),X4)
| ~ f(X5,X3,X4) ),
inference(subsumption_resolution,[],[f218,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| ~ f(X0,X1,X2)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f218,plain,
! [X3,X4,X5] :
( f(X3,z(X3,X4,X5),X4)
| f(X3,X4,X5)
| ~ f(X5,X3,X4) ),
inference(resolution,[],[f210,f2]) ).
fof(f210,plain,
! [X14,X15,X13] :
( f(X14,z(X14,X13,X15),X13)
| f(X13,X14,z(X14,X13,X15)) ),
inference(subsumption_resolution,[],[f209,f8]) ).
fof(f209,plain,
! [X14,X15,X13] :
( f(X14,z(X14,X13,X15),X13)
| ~ f(X13,X15,X14)
| f(X13,X14,z(X14,X13,X15)) ),
inference(subsumption_resolution,[],[f180,f4]) ).
fof(f180,plain,
! [X14,X15,X13] :
( f(X14,z(X14,X13,X15),X13)
| ~ f(X15,X14,X13)
| f(X13,X14,z(X14,X13,X15))
| ~ f(X13,X15,X14) ),
inference(resolution,[],[f140,f12]) ).
fof(f287,plain,
! [X3,X4,X5] :
( f(X5,X3,X4)
| f(X3,X4,X5) ),
inference(resolution,[],[f270,f10]) ).
fof(f270,plain,
! [X8,X6,X7] : f(z(X6,X7,X8),X7,X6),
inference(resolution,[],[f265,f235]) ).
fof(f265,plain,
! [X2,X0,X1] : f(X0,z(X0,X1,X2),X1),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f236,plain,
! [X2,X0,X1] :
( f(X0,z(X0,X1,X2),X1)
| f(X0,z(X0,X1,X2),X1) ),
inference(resolution,[],[f235,f210]) ).
fof(f312,plain,
! [X28,X29,X27] : ~ f(X29,X27,X28),
inference(subsumption_resolution,[],[f311,f293]) ).
fof(f311,plain,
! [X28,X29,X27] :
( ~ f(X27,X28,X29)
| ~ f(X29,X27,X28) ),
inference(subsumption_resolution,[],[f305,f293]) ).
fof(f305,plain,
! [X28,X29,X27] :
( ~ f(X28,X29,X27)
| ~ f(X27,X28,X29)
| ~ f(X29,X27,X28) ),
inference(resolution,[],[f293,f17]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ f(z(X0,X1,X2),z(X0,X1,X2),z(X0,X1,X2))
| ~ f(X1,X2,X0)
| ~ f(X0,X1,X2)
| ~ f(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN353-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:43:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (6622)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)
% 0.19/0.48 % (6606)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (6596)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)
% 0.19/0.50 % (6614)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (6611)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)
% 0.19/0.50 % (6603)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (6609)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.51 % (6601)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)
% 0.19/0.51 % (6614)First to succeed.
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (6603)Instruction limit reached!
% 0.19/0.51 % (6603)------------------------------
% 0.19/0.51 % (6603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6614)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (6614)------------------------------
% 0.19/0.52 % (6614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6614)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (6614)Memory used [KB]: 5373
% 0.19/0.52 % (6614)Time elapsed: 0.113 s
% 0.19/0.52 % (6614)Instructions burned: 8 (million)
% 0.19/0.52 % (6614)------------------------------
% 0.19/0.52 % (6614)------------------------------
% 0.19/0.52 % (6595)Success in time 0.174 s
%------------------------------------------------------------------------------