TSTP Solution File: SYO652-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO652-1 : 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 : n018.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 19:51:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 4 unt; 0 def)
% Number of atoms : 177 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 247 ( 103 ~; 144 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(resolution,[],[f58,f16]) ).
fof(f16,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_99) ).
fof(f58,plain,
! [X0] : 'LE'(f(X0),'0'),
inference(subsumption_resolution,[],[f57,f29]) ).
fof(f29,plain,
! [X0] :
( 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f14,f6]) ).
fof(f6,axiom,
! [X4] : 'LE'(f(X4),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_199) ).
fof(f14,axiom,
! [X5] :
( ~ 'LE'(f(suc(suc(X5))),s('0'))
| 'E'('0',f(suc(suc(X5))))
| 'LE'(f(X5),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f57,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(suc(X0)))) ),
inference(subsumption_resolution,[],[f56,f28]) ).
fof(f28,plain,
! [X0] :
( 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f7,f6]) ).
fof(f7,axiom,
! [X5] :
( ~ 'LE'(f(suc(X5)),s('0'))
| 'LE'(f(X5),'0')
| 'E'('0',f(suc(X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_191) ).
fof(f56,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0)))) ),
inference(subsumption_resolution,[],[f55,f26]) ).
fof(f26,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0)) ),
inference(resolution,[],[f12,f6]) ).
fof(f12,axiom,
! [X5] :
( ~ 'LE'(f(X5),s('0'))
| 'LE'(f(X5),'0')
| 'E'('0',f(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f55,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f54,f25]) ).
fof(f25,plain,
! [X3] :
( ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(X3))) ),
inference(subsumption_resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X3))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X0),suc(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_96) ).
fof(f4,axiom,
! [X3] :
( ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_149) ).
fof(f54,plain,
! [X1] :
( 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(duplicate_literal_removal,[],[f52]) ).
fof(f52,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'LE'(f(X1),'0')
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X1),f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f49,f35]) ).
fof(f35,plain,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| 'LE'(f(X0),'0') ),
inference(subsumption_resolution,[],[f34,f28]) ).
fof(f34,plain,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0')
| iLEQ(suc(X0),suc(X0)) ),
inference(subsumption_resolution,[],[f32,f26]) ).
fof(f32,plain,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f31,f29]) ).
fof(f31,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f30,plain,
! [X0] :
( iLEQ(suc(X0),suc(X0))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f25,f22]) ).
fof(f22,axiom,
! [X3] :
( 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_44) ).
fof(f49,plain,
! [X2,X3] :
( ~ iLEQ(suc(X3),suc(X2))
| 'LE'(f(X3),'0')
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X2),'0') ),
inference(subsumption_resolution,[],[f48,f28]) ).
fof(f48,plain,
! [X2,X3] :
( 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X2)))
| 'LE'(f(X2),'0')
| 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X2))
| 'E'(f(X2),f(suc(X2))) ),
inference(subsumption_resolution,[],[f47,f26]) ).
fof(f47,plain,
! [X2,X3] :
( 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X2)))
| 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X3),suc(X2))
| 'LE'(f(X2),'0') ),
inference(duplicate_literal_removal,[],[f45]) ).
fof(f45,plain,
! [X2,X3] :
( 'LE'(f(X3),'0')
| 'E'(f(X2),f(suc(X2)))
| 'LE'(f(X2),'0')
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(suc(X2)))
| 'E'(f(X2),f(suc(X2)))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X3),suc(X2))
| ~ 'E'('0',f(X2)) ),
inference(resolution,[],[f42,f35]) ).
fof(f42,plain,
! [X3,X4,X5] :
( ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'('0',f(X4))
| 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),'0')
| 'E'(f(X4),f(suc(X4)))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X5))
| 'E'(f(X5),f(suc(X5)))
| ~ iLEQ(suc(X3),suc(X5))
| ~ 'E'('0',f(suc(X5))) ),
inference(subsumption_resolution,[],[f41,f28]) ).
fof(f41,plain,
! [X3,X4,X5] :
( ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X5))
| 'E'(f(X5),f(suc(X5)))
| 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),'0')
| 'E'(f(X4),f(suc(X4)))
| ~ 'E'('0',f(X5))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'('0',f(X4)) ),
inference(subsumption_resolution,[],[f40,f26]) ).
fof(f40,plain,
! [X3,X4,X5] :
( 'E'(f(X4),f(suc(X4)))
| ~ iLEQ(suc(X5),suc(X4))
| 'E'(f(X5),f(suc(X5)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(X5))
| ~ 'E'('0',f(X5))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X4)))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X4))
| ~ 'E'('0',f(suc(X5))) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X3,X4,X5] :
( ~ 'E'('0',f(X4))
| ~ 'E'('0',f(X3))
| 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X5),suc(X4))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X5))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X5)))
| ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X3),suc(X5))
| 'E'(f(X5),f(suc(X5)))
| 'LE'(f(X3),'0')
| 'E'(f(X4),f(suc(X4)))
| 'E'(f(X3),f(suc(X3))) ),
inference(resolution,[],[f3,f35]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X3),suc(X0))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| 'E'(f(X1),f(suc(X1)))
| 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(X1))
| 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X0),suc(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO652-1 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 23:14:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 % (20977)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.49 % (20969)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.49 % (20978)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)
% 0.21/0.49 % (20969)First to succeed.
% 0.21/0.50 % (20970)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)
% 0.21/0.51 % (20969)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (20969)------------------------------
% 0.21/0.51 % (20969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (20969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (20969)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (20969)Memory used [KB]: 5500
% 0.21/0.51 % (20969)Time elapsed: 0.077 s
% 0.21/0.51 % (20969)Instructions burned: 8 (million)
% 0.21/0.51 % (20969)------------------------------
% 0.21/0.51 % (20969)------------------------------
% 0.21/0.51 % (20955)Success in time 0.14 s
%------------------------------------------------------------------------------