TSTP Solution File: SYO612-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO612-1 : TPTP v8.1.0. Released v7.1.0.
% 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 : n003.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 19:51:46 EDT 2022
% Result : Unsatisfiable 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 207 ( 111 ~; 91 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f292,plain,
$false,
inference(subsumption_resolution,[],[f174,f244]) ).
fof(f244,plain,
! [X0] : ~ sP0(X0),
inference(resolution,[],[f243,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f243,plain,
! [X4,X5] :
( ~ le(s(X4),X5)
| ~ sP0(X4) ),
inference(subsumption_resolution,[],[f242,f4]) ).
fof(f4,axiom,
! [X0] : eq(f(X0),a0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f242,plain,
! [X4,X5] :
( ~ eq(f(X5),a0)
| ~ le(s(X4),X5)
| ~ sP0(X4) ),
inference(subsumption_resolution,[],[f241,f210]) ).
fof(f210,plain,
! [X0] : sP4(X0),
inference(resolution,[],[f209,f1]) ).
fof(f209,plain,
! [X6,X5] :
( ~ le(s(X5),X6)
| sP4(X5) ),
inference(subsumption_resolution,[],[f208,f4]) ).
fof(f208,plain,
! [X6,X5] :
( ~ le(s(X5),X6)
| ~ eq(f(X6),a0)
| sP4(X5) ),
inference(subsumption_resolution,[],[f14,f177]) ).
fof(f177,plain,
! [X0] : sP3(X0),
inference(resolution,[],[f176,f1]) ).
fof(f176,plain,
! [X6,X7] :
( ~ le(s(X6),X7)
| sP3(X6) ),
inference(subsumption_resolution,[],[f175,f80]) ).
fof(f80,plain,
! [X0] : sP2(X0),
inference(resolution,[],[f79,f1]) ).
fof(f79,plain,
! [X8,X7] :
( ~ le(s(X7),X8)
| sP2(X7) ),
inference(subsumption_resolution,[],[f78,f63]) ).
fof(f63,plain,
! [X0] : sP1(X0),
inference(resolution,[],[f62,f1]) ).
fof(f62,plain,
! [X8,X9] :
( ~ le(s(X8),X9)
| sP1(X8) ),
inference(subsumption_resolution,[],[f8,f4]) ).
fof(f8,plain,
! [X8,X9] :
( ~ eq(f(X9),a0)
| sP1(X8)
| ~ le(s(X8),X9) ),
inference(cnf_transformation,[],[f8_D]) ).
fof(f8_D,plain,
! [X8] :
( ! [X9] :
( ~ eq(f(X9),a0)
| ~ le(s(X8),X9) )
<=> ~ sP1(X8) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f78,plain,
! [X8,X7] :
( ~ sP1(X8)
| ~ le(s(X7),X8)
| sP2(X7) ),
inference(subsumption_resolution,[],[f10,f4]) ).
fof(f10,plain,
! [X8,X7] :
( ~ le(s(X7),X8)
| ~ eq(f(X8),a0)
| ~ sP1(X8)
| sP2(X7) ),
inference(cnf_transformation,[],[f10_D]) ).
fof(f10_D,plain,
! [X7] :
( ! [X8] :
( ~ le(s(X7),X8)
| ~ eq(f(X8),a0)
| ~ sP1(X8) )
<=> ~ sP2(X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f175,plain,
! [X6,X7] :
( ~ le(s(X6),X7)
| sP3(X6)
| ~ sP2(X7) ),
inference(subsumption_resolution,[],[f12,f4]) ).
fof(f12,plain,
! [X6,X7] :
( ~ eq(f(X7),a0)
| ~ le(s(X6),X7)
| sP3(X6)
| ~ sP2(X7) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
! [X6] :
( ! [X7] :
( ~ eq(f(X7),a0)
| ~ le(s(X6),X7)
| ~ sP2(X7) )
<=> ~ sP3(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
! [X6,X5] :
( sP4(X5)
| ~ sP3(X6)
| ~ eq(f(X6),a0)
| ~ le(s(X5),X6) ),
inference(cnf_transformation,[],[f14_D]) ).
fof(f14_D,plain,
! [X5] :
( ! [X6] :
( ~ sP3(X6)
| ~ eq(f(X6),a0)
| ~ le(s(X5),X6) )
<=> ~ sP4(X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f241,plain,
! [X4,X5] :
( ~ le(s(X4),X5)
| ~ sP0(X4)
| ~ sP4(X5)
| ~ eq(f(X5),a0) ),
inference(subsumption_resolution,[],[f15,f4]) ).
fof(f15,plain,
! [X4,X5] :
( ~ eq(f(X4),a0)
| ~ sP0(X4)
| ~ sP4(X5)
| ~ le(s(X4),X5)
| ~ eq(f(X5),a0) ),
inference(general_splitting,[],[f13,f14_D]) ).
fof(f13,plain,
! [X6,X4,X5] :
( ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X6),a0)
| ~ sP0(X4)
| ~ sP3(X6) ),
inference(general_splitting,[],[f11,f12_D]) ).
fof(f11,plain,
! [X6,X7,X4,X5] :
( ~ le(s(X5),X6)
| ~ eq(f(X7),a0)
| ~ le(s(X4),X5)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X6),X7)
| ~ eq(f(X6),a0)
| ~ sP0(X4)
| ~ sP2(X7) ),
inference(general_splitting,[],[f9,f10_D]) ).
fof(f9,plain,
! [X8,X6,X7,X4,X5] :
( ~ le(s(X5),X6)
| ~ eq(f(X7),a0)
| ~ le(s(X4),X5)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X6),X7)
| ~ eq(f(X8),a0)
| ~ le(s(X7),X8)
| ~ eq(f(X6),a0)
| ~ sP0(X4)
| ~ sP1(X8) ),
inference(general_splitting,[],[f7,f8_D]) ).
fof(f7,plain,
! [X8,X6,X9,X7,X4,X5] :
( ~ le(s(X5),X6)
| ~ eq(f(X7),a0)
| ~ le(s(X4),X5)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X6),X7)
| ~ eq(f(X9),a0)
| ~ eq(f(X8),a0)
| ~ le(s(X7),X8)
| ~ eq(f(X6),a0)
| ~ le(s(X8),X9)
| ~ sP0(X4) ),
inference(general_splitting,[],[f5,f6_D]) ).
fof(f6,plain,
! [X3,X4] :
( ~ eq(f(X3),a0)
| ~ le(s(X3),X4)
| sP0(X4) ),
inference(cnf_transformation,[],[f6_D]) ).
fof(f6_D,plain,
! [X4] :
( ! [X3] :
( ~ eq(f(X3),a0)
| ~ le(s(X3),X4) )
<=> ~ sP0(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X3),a0)
| ~ le(s(X5),X6)
| ~ eq(f(X7),a0)
| ~ le(s(X4),X5)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X6),X7)
| ~ eq(f(X9),a0)
| ~ eq(f(X8),a0)
| ~ le(s(X7),X8)
| ~ eq(f(X6),a0)
| ~ le(s(X3),X4)
| ~ le(s(X8),X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f174,plain,
! [X18,X16,X14,X17,X15] : sP0(max(X14,max(max(max(s(X15),X16),X17),X18))),
inference(resolution,[],[f45,f46]) ).
fof(f46,plain,
! [X3,X4] :
( ~ le(s(X3),X4)
| sP0(X4) ),
inference(subsumption_resolution,[],[f6,f4]) ).
fof(f45,plain,
! [X8,X6,X9,X7,X5] : le(X5,max(X6,max(max(max(X5,X7),X8),X9))),
inference(resolution,[],[f29,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f29,plain,
! [X6,X7,X4,X5] : le(X4,max(X5,max(max(X4,X6),X7))),
inference(resolution,[],[f23,f2]) ).
fof(f23,plain,
! [X3,X4,X5] : le(X3,max(X4,max(X3,X5))),
inference(resolution,[],[f19,f2]) ).
fof(f19,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO612-1 : TPTP v8.1.0. Released v7.1.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 23:07:38 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.47 % (16858)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.16/0.47 % (16857)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.16/0.47 % (16859)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.48 % (16866)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 (3000ds/75Mi)
% 0.16/0.48 % (16859)Instruction limit reached!
% 0.16/0.48 % (16859)------------------------------
% 0.16/0.48 % (16859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (16859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (16859)Termination reason: Unknown
% 0.16/0.48 % (16859)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (16859)Memory used [KB]: 5373
% 0.16/0.48 % (16859)Time elapsed: 0.004 s
% 0.16/0.48 % (16859)Instructions burned: 2 (million)
% 0.16/0.48 % (16859)------------------------------
% 0.16/0.48 % (16859)------------------------------
% 0.16/0.48 TRYING [1]
% 0.16/0.48 % (16858)Instruction limit reached!
% 0.16/0.48 % (16858)------------------------------
% 0.16/0.48 % (16858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (16875)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.16/0.48 % (16873)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 (3000ds/498Mi)
% 0.16/0.48 TRYING [2]
% 0.16/0.48 % (16867)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 (3000ds/99Mi)
% 0.16/0.48 TRYING [3]
% 0.16/0.48 % (16874)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 (3000ds/467Mi)
% 0.16/0.48 % (16858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (16858)Termination reason: Unknown
% 0.16/0.48 % (16858)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (16858)Memory used [KB]: 5500
% 0.16/0.48 % (16858)Time elapsed: 0.107 s
% 0.16/0.48 % (16858)Instructions burned: 7 (million)
% 0.16/0.48 % (16858)------------------------------
% 0.16/0.48 % (16858)------------------------------
% 0.16/0.49 TRYING [4]
% 0.16/0.49 TRYING [5]
% 0.16/0.49 % (16867)First to succeed.
% 0.16/0.49 % (16865)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 (3000ds/68Mi)
% 0.16/0.50 TRYING [6]
% 0.16/0.51 % (16862)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.16/0.51 % (16874)Also succeeded, but the first one will report.
% 0.16/0.51 % (16867)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (16867)------------------------------
% 0.16/0.51 % (16867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (16867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (16867)Termination reason: Refutation
% 0.16/0.51
% 0.16/0.51 % (16867)Memory used [KB]: 5500
% 0.16/0.51 % (16867)Time elapsed: 0.108 s
% 0.16/0.51 % (16867)Instructions burned: 7 (million)
% 0.16/0.51 % (16867)------------------------------
% 0.16/0.51 % (16867)------------------------------
% 0.16/0.51 % (16849)Success in time 0.185 s
%------------------------------------------------------------------------------