TSTP Solution File: SYO617-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO617-1 : 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 : 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 19:51:47 EDT 2022
% Result : Unsatisfiable 2.45s 0.70s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 17 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 103 ( 59 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 150 ( 150 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1115,plain,
$false,
inference(subsumption_resolution,[],[f1099,f1075]) ).
fof(f1075,plain,
! [X17] : eq(f(X17),a0),
inference(resolution,[],[f1058,f977]) ).
fof(f977,plain,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(resolution,[],[f976,f4]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a2)
| eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f976,plain,
! [X0] : ~ eq(f(X0),a2),
inference(subsumption_resolution,[],[f975,f937]) ).
fof(f937,plain,
! [X0,X1] :
( ~ eq(f(X1),a0)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f480,f32]) ).
fof(f32,plain,
! [X16,X14,X15] :
( ~ eq(f(max(max(X14,s(X15)),X16)),a0)
| ~ eq(f(X15),a0) ),
inference(resolution,[],[f12,f5]) ).
fof(f5,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f12,plain,
! [X2,X3,X4] : le(X2,max(max(X3,X2),X4)),
inference(resolution,[],[f3,f8]) ).
fof(f8,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f480,plain,
! [X2,X3,X0,X1,X4] :
( eq(f(max(max(max(max(s(X0),X1),X2),X3),X4)),a0)
| ~ eq(f(X0),a2) ),
inference(subsumption_resolution,[],[f479,f466]) ).
fof(f466,plain,
! [X10,X15] :
( ~ eq(f(X10),a1)
| ~ eq(f(X15),a2) ),
inference(subsumption_resolution,[],[f464,f307]) ).
fof(f307,plain,
! [X6,X4,X5] :
( ~ eq(f(X4),a1)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a2) ),
inference(resolution,[],[f174,f42]) ).
fof(f42,plain,
! [X16,X14,X15] :
( ~ eq(f(max(X14,max(s(X15),X16))),a0)
| ~ eq(f(X15),a0) ),
inference(resolution,[],[f15,f5]) ).
fof(f15,plain,
! [X3,X4,X5] : le(X3,max(X4,max(X3,X5))),
inference(resolution,[],[f11,f2]) ).
fof(f11,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f174,plain,
! [X6,X4,X5] :
( eq(f(max(s(X4),max(X5,s(X6)))),a0)
| ~ eq(f(X6),a1)
| ~ eq(f(X4),a2) ),
inference(resolution,[],[f79,f36]) ).
fof(f36,plain,
! [X11,X12,X13] :
( ~ eq(f(max(X11,max(X12,s(X13)))),a1)
| ~ eq(f(X13),a1) ),
inference(resolution,[],[f14,f6]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X4),a1)
| ~ eq(f(X3),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f14,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X2,X0))),
inference(resolution,[],[f11,f3]) ).
fof(f79,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f25,f4]) ).
fof(f25,plain,
! [X2,X1] :
( ~ eq(f(max(s(X1),X2)),a2)
| ~ eq(f(X1),a2) ),
inference(resolution,[],[f7,f8]) ).
fof(f7,axiom,
! [X3,X4] :
( ~ le(s(X3),X4)
| ~ eq(f(X3),a2)
| ~ eq(f(X4),a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f464,plain,
! [X10,X11,X14,X15,X12,X13] :
( ~ eq(f(X15),a2)
| ~ eq(f(X10),a1)
| eq(f(max(max(max(max(X11,s(X10)),X12),X13),max(X14,s(X15)))),a0) ),
inference(resolution,[],[f89,f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( eq(f(max(X1,max(X2,s(X0)))),a1)
| eq(f(max(X1,max(X2,s(X0)))),a0)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f35,f4]) ).
fof(f35,plain,
! [X10,X8,X9] :
( ~ eq(f(max(X9,max(X10,s(X8)))),a2)
| ~ eq(f(X8),a2) ),
inference(resolution,[],[f14,f7]) ).
fof(f89,plain,
! [X21,X18,X19,X17,X20] :
( ~ eq(f(max(max(max(max(X17,s(X18)),X19),X20),X21)),a1)
| ~ eq(f(X18),a1) ),
inference(resolution,[],[f44,f6]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4] : le(X0,max(max(max(max(X1,X0),X2),X3),X4)),
inference(resolution,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : le(X0,max(max(max(X0,X1),X2),X3)),
inference(resolution,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X0,X1] : le(X0,max(max(X0,X1),X2)),
inference(resolution,[],[f8,f2]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X4] :
( ~ eq(f(X0),a2)
| eq(f(max(max(max(max(s(X0),X1),X2),X3),X4)),a1)
| eq(f(max(max(max(max(s(X0),X1),X2),X3),X4)),a0) ),
inference(resolution,[],[f94,f4]) ).
fof(f94,plain,
! [X16,X14,X15,X12,X13] :
( ~ eq(f(max(max(max(max(s(X12),X13),X14),X15),X16)),a2)
| ~ eq(f(X12),a2) ),
inference(resolution,[],[f45,f7]) ).
fof(f45,plain,
! [X8,X6,X9,X7,X5] : le(X5,max(max(max(max(X5,X6),X7),X8),X9)),
inference(resolution,[],[f10,f2]) ).
fof(f975,plain,
! [X2,X3,X0,X1] :
( eq(f(max(max(max(s(X0),X1),X2),X3)),a0)
| ~ eq(f(X0),a2) ),
inference(subsumption_resolution,[],[f206,f466]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( eq(f(max(max(max(s(X0),X1),X2),X3)),a0)
| eq(f(max(max(max(s(X0),X1),X2),X3)),a1)
| ~ eq(f(X0),a2) ),
inference(resolution,[],[f46,f4]) ).
fof(f46,plain,
! [X10,X11,X12,X13] :
( ~ eq(f(max(max(max(s(X10),X11),X12),X13)),a2)
| ~ eq(f(X10),a2) ),
inference(resolution,[],[f10,f7]) ).
fof(f1058,plain,
! [X26] : ~ eq(f(X26),a1),
inference(subsumption_resolution,[],[f1057,f1024]) ).
fof(f1024,plain,
! [X2,X1] :
( ~ eq(f(X2),a0)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f979,f19]) ).
fof(f19,plain,
! [X6,X7] :
( ~ eq(f(max(X6,s(X7))),a0)
| ~ eq(f(X7),a0) ),
inference(resolution,[],[f5,f11]) ).
fof(f979,plain,
! [X2,X1] :
( eq(f(max(s(X1),X2)),a0)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f977,f21]) ).
fof(f21,plain,
! [X2,X1] :
( ~ eq(f(max(s(X1),X2)),a1)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f6,f8]) ).
fof(f1057,plain,
! [X31,X28,X29,X26,X27,X30] :
( ~ eq(f(X26),a1)
| eq(f(max(max(max(max(X27,max(X28,s(X26))),X29),X30),X31)),a0) ),
inference(resolution,[],[f184,f977]) ).
fof(f184,plain,
! [X21,X24,X22,X25,X23,X20] :
( ~ eq(f(max(max(max(max(X20,max(X21,s(X22))),X23),X24),X25)),a1)
| ~ eq(f(X22),a1) ),
inference(resolution,[],[f86,f6]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4,X5] : le(X0,max(max(max(max(X1,max(X2,X0)),X3),X4),X5)),
inference(resolution,[],[f44,f3]) ).
fof(f1099,plain,
! [X20] : ~ eq(f(X20),a0),
inference(resolution,[],[f1075,f53]) ).
fof(f53,plain,
! [X21,X18,X19,X20] :
( ~ eq(f(max(max(max(X18,s(X19)),X20),X21)),a0)
| ~ eq(f(X19),a0) ),
inference(resolution,[],[f13,f5]) ).
fof(f13,plain,
! [X8,X6,X7,X5] : le(X5,max(max(max(X6,X5),X7),X8)),
inference(resolution,[],[f3,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO617-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 23:28:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (4308)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)
% 0.20/0.53 % (4292)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.53 % (4292)Instruction limit reached!
% 0.20/0.53 % (4292)------------------------------
% 0.20/0.53 % (4292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (4292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (4292)Termination reason: Unknown
% 0.20/0.53 % (4292)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (4292)Memory used [KB]: 5500
% 0.20/0.53 % (4292)Time elapsed: 0.035 s
% 0.20/0.53 % (4292)Instructions burned: 7 (million)
% 0.20/0.53 % (4292)------------------------------
% 0.20/0.53 % (4292)------------------------------
% 0.20/0.56 % (4298)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.57 % (4290)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 (3000ds/48Mi)
% 0.20/0.59 % (4307)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)
% 0.20/0.60 % (4286)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.61 % (4299)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)
% 0.20/0.62 % (4288)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.62 % (4297)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.63 % (4286)Refutation not found, incomplete strategy% (4286)------------------------------
% 0.20/0.63 % (4286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.63 % (4286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.63 % (4286)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.63
% 0.20/0.63 % (4286)Memory used [KB]: 5373
% 0.20/0.63 % (4286)Time elapsed: 0.180 s
% 0.20/0.63 % (4286)Instructions burned: 2 (million)
% 0.20/0.63 % (4286)------------------------------
% 0.20/0.63 % (4286)------------------------------
% 0.20/0.63 % (4289)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.63 % (4301)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)
% 0.20/0.63 % (4314)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 (3000ds/355Mi)
% 0.20/0.63 % (4291)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)
% 0.20/0.63 TRYING [1]
% 0.20/0.63 TRYING [2]
% 1.97/0.64 TRYING [3]
% 1.97/0.64 % (4306)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 1.97/0.64 % (4287)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 (3000ds/37Mi)
% 1.97/0.64 % (4294)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 (3000ds/51Mi)
% 1.97/0.64 % (4310)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 1.97/0.64 % (4296)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)
% 1.97/0.64 % (4305)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 1.97/0.65 % (4309)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.97/0.65 % (4302)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 1.97/0.65 % (4311)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)
% 2.38/0.65 % (4303)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 2.38/0.66 % (4290)Instruction limit reached!
% 2.38/0.66 % (4290)------------------------------
% 2.38/0.66 % (4290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.66 % (4290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.66 % (4290)Termination reason: Unknown
% 2.38/0.66 % (4290)Termination phase: Saturation
% 2.38/0.66
% 2.38/0.66 % (4290)Memory used [KB]: 6396
% 2.38/0.66 % (4290)Time elapsed: 0.235 s
% 2.38/0.66 % (4290)Instructions burned: 48 (million)
% 2.38/0.66 % (4290)------------------------------
% 2.38/0.66 % (4290)------------------------------
% 2.38/0.66 % (4295)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 2.38/0.66 TRYING [4]
% 2.38/0.66 % (4313)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 2.45/0.67 TRYING [1]
% 2.45/0.67 TRYING [2]
% 2.45/0.67 TRYING [3]
% 2.45/0.67 % (4347)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.45/0.67 TRYING [4]
% 2.45/0.68 % (4307)First to succeed.
% 2.45/0.68 % (4300)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)
% 2.45/0.68 % (4285)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 (3000ds/191324Mi)
% 2.45/0.68 TRYING [1]
% 2.45/0.68 TRYING [2]
% 2.45/0.68 TRYING [3]
% 2.45/0.69 % (4293)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 2.45/0.70 % (4304)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 2.45/0.70 % (4307)Refutation found. Thanks to Tanya!
% 2.45/0.70 % SZS status Unsatisfiable for theBenchmark
% 2.45/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.70 % (4307)------------------------------
% 2.45/0.70 % (4307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70 % (4307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70 % (4307)Termination reason: Refutation
% 2.45/0.70
% 2.45/0.70 % (4307)Memory used [KB]: 1663
% 2.45/0.70 % (4307)Time elapsed: 0.241 s
% 2.45/0.70 % (4307)Instructions burned: 49 (million)
% 2.45/0.70 % (4307)------------------------------
% 2.45/0.70 % (4307)------------------------------
% 2.45/0.70 % (4284)Success in time 0.343 s
%------------------------------------------------------------------------------