TSTP Solution File: NUM011-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM011-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 18:03:15 EDT 2022
% Result : Unsatisfiable 2.00s 0.62s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 32 ( 18 unt; 0 def)
% Number of atoms : 50 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1351,plain,
$false,
inference(resolution,[],[f1339,f552]) ).
fof(f552,plain,
member(f75,sF1),
inference(subsumption_resolution,[],[f551,f319]) ).
fof(f319,plain,
little_set(f75),
inference(resolution,[],[f1,f220]) ).
fof(f220,axiom,
member(f75,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_natural_number) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f551,plain,
( member(f75,sF1)
| ~ little_set(f75) ),
inference(superposition,[],[f305,f311]) ).
fof(f311,plain,
non_ordered_pair(f75,f75) = sF1,
introduced(function_definition,[]) ).
fof(f305,plain,
! [X2,X0] :
( member(X2,non_ordered_pair(X0,X2))
| ~ little_set(X2) ),
inference(equality_resolution,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( X1 != X2
| ~ little_set(X2)
| member(X2,non_ordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_ordered_pair3) ).
fof(f1339,plain,
! [X0] : ~ member(X0,sF1),
inference(subsumption_resolution,[],[f1332,f1]) ).
fof(f1332,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ little_set(X0) ),
inference(resolution,[],[f1256,f373]) ).
fof(f373,plain,
! [X1] :
( ~ member(X1,sF2)
| ~ member(X1,sF1) ),
inference(superposition,[],[f31,f312]) ).
fof(f312,plain,
sF2 = complement(sF1),
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X3,X0] :
( ~ member(X3,complement(X0))
| ~ member(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f1256,plain,
! [X0] :
( member(X0,sF2)
| ~ little_set(X0) ),
inference(resolution,[],[f1177,f602]) ).
fof(f602,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f29,f313]) ).
fof(f313,plain,
intersection(sF0,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f29,axiom,
! [X3,X0,X1] :
( ~ member(X3,intersection(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f1177,plain,
! [X3] :
( member(X3,sF3)
| ~ little_set(X3) ),
inference(subsumption_resolution,[],[f1176,f58]) ).
fof(f58,axiom,
! [X3] : ~ member(X3,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
fof(f1176,plain,
! [X3] :
( member(X3,sF3)
| member(X3,empty_set)
| ~ little_set(X3) ),
inference(forward_demodulation,[],[f1123,f315]) ).
fof(f315,plain,
empty_set = sF4,
inference(definition_folding,[],[f284,f314,f313,f312,f311,f310]) ).
fof(f310,plain,
sF0 = complement(f75),
introduced(function_definition,[]) ).
fof(f314,plain,
complement(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f284,plain,
empty_set = complement(intersection(complement(f75),complement(non_ordered_pair(f75,f75)))),
inference(definition_unfolding,[],[f221,f222]) ).
fof(f222,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(non_ordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f57,f33,f9]) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f33,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f57,axiom,
! [X0] : successor(X0) = union(X0,singleton_set(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).
fof(f221,axiom,
empty_set = successor(f75),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_is_first) ).
fof(f1123,plain,
! [X3] :
( ~ little_set(X3)
| member(X3,sF4)
| member(X3,sF3) ),
inference(superposition,[],[f32,f314]) ).
fof(f32,axiom,
! [X3,X0] :
( member(X3,complement(X0))
| member(X3,X0)
| ~ little_set(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM011-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n018.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 05:52:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.52 % (28083)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)
% 0.21/0.53 % (28068)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (28079)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (28064)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)
% 0.21/0.53 % (28067)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)
% 0.21/0.53 % (28069)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (28085)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (28090)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)
% 0.21/0.53 % (28069)Instruction limit reached!
% 0.21/0.53 % (28069)------------------------------
% 0.21/0.53 % (28069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (28069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (28069)Termination reason: Unknown
% 0.21/0.53 % (28069)Termination phase: Function definition elimination
% 0.21/0.53
% 0.21/0.53 % (28069)Memory used [KB]: 1151
% 0.21/0.53 % (28069)Time elapsed: 0.004 s
% 0.21/0.53 % (28069)Instructions burned: 3 (million)
% 0.21/0.53 % (28069)------------------------------
% 0.21/0.53 % (28069)------------------------------
% 0.21/0.54 % (28063)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)
% 0.21/0.54 % (28068)Instruction limit reached!
% 0.21/0.54 % (28068)------------------------------
% 0.21/0.54 % (28068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28062)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)
% 0.21/0.54 % (28066)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)
% 0.21/0.54 % (28075)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)
% 0.21/0.54 % (28076)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)
% 0.21/0.54 % (28065)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (28082)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54 % (28070)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)
% 0.21/0.54 % (28086)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (28074)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (28061)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)
% 0.21/0.55 % (28080)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 (2999ds/100Mi)
% 0.21/0.55 % (28081)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 (2999ds/176Mi)
% 0.21/0.55 % (28078)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (28071)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (28073)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (28072)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)
% 0.21/0.55 % (28084)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)
% 0.21/0.55 % (28077)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 (2999ds/99Mi)
% 0.21/0.55 % (28087)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)
% 0.21/0.56 % (28068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (28068)Termination reason: Unknown
% 0.21/0.56 % (28068)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (28068)Memory used [KB]: 5628
% 0.21/0.56 % (28068)Time elapsed: 0.005 s
% 0.21/0.56 % (28068)Instructions burned: 9 (million)
% 0.21/0.56 % (28068)------------------------------
% 0.21/0.56 % (28068)------------------------------
% 0.21/0.56 % (28089)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.56 % (28088)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.80/0.60 % (28063)Instruction limit reached!
% 1.80/0.60 % (28063)------------------------------
% 1.80/0.60 % (28063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (28063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (28063)Termination reason: Unknown
% 1.80/0.60 % (28063)Termination phase: Saturation
% 1.80/0.60
% 1.80/0.60 % (28063)Memory used [KB]: 1791
% 1.80/0.60 % (28063)Time elapsed: 0.181 s
% 1.80/0.60 % (28063)Instructions burned: 38 (million)
% 1.80/0.60 % (28063)------------------------------
% 1.80/0.60 % (28063)------------------------------
% 1.80/0.60 % (28062)Refutation not found, incomplete strategy% (28062)------------------------------
% 1.80/0.60 % (28062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (28062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (28062)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.60
% 1.80/0.60 % (28062)Memory used [KB]: 6524
% 1.80/0.60 % (28062)Time elapsed: 0.182 s
% 1.80/0.60 % (28062)Instructions burned: 36 (million)
% 1.80/0.60 % (28062)------------------------------
% 1.80/0.60 % (28062)------------------------------
% 1.80/0.61 % (28067)Instruction limit reached!
% 1.80/0.61 % (28067)------------------------------
% 1.80/0.61 % (28067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (28067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (28067)Termination reason: Unknown
% 1.80/0.61 % (28067)Termination phase: Finite model building preprocessing
% 1.80/0.61
% 1.80/0.61 % (28067)Memory used [KB]: 1791
% 1.80/0.61 % (28067)Time elapsed: 0.024 s
% 1.80/0.61 % (28067)Instructions burned: 51 (million)
% 1.80/0.61 % (28067)------------------------------
% 1.80/0.61 % (28067)------------------------------
% 2.00/0.62 % (28074)First to succeed.
% 2.00/0.62 % (28074)Refutation found. Thanks to Tanya!
% 2.00/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.00/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.62 % (28074)------------------------------
% 2.00/0.62 % (28074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62 % (28074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62 % (28074)Termination reason: Refutation
% 2.00/0.62
% 2.00/0.62 % (28074)Memory used [KB]: 6524
% 2.00/0.62 % (28074)Time elapsed: 0.214 s
% 2.00/0.62 % (28074)Instructions burned: 39 (million)
% 2.00/0.62 % (28074)------------------------------
% 2.00/0.62 % (28074)------------------------------
% 2.00/0.62 % (28060)Success in time 0.265 s
%------------------------------------------------------------------------------