TSTP Solution File: SET120-7 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET120-7 : TPTP v8.1.0. Bugfixed 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 : n023.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 18:23:49 EDT 2022
% Result : Unsatisfiable 2.24s 0.66s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 6 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1042,plain,
$false,
inference(subsumption_resolution,[],[f1041,f508]) ).
fof(f508,plain,
! [X0,X1] : ~ member(sF0,cross_product(X0,X1)),
inference(subsumption_resolution,[],[f507,f166]) ).
fof(f166,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_1) ).
fof(f507,plain,
! [X0,X1] :
( member(x,universal_class)
| ~ member(sF0,cross_product(X0,X1)) ),
inference(superposition,[],[f94,f171]) ).
fof(f171,plain,
ordered_pair(x,y) = sF0,
introduced(function_definition,[]) ).
fof(f94,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).
fof(f1041,plain,
member(sF0,cross_product(universal_class,universal_class)),
inference(forward_demodulation,[],[f1040,f797]) ).
fof(f797,plain,
ordered_pair(first(sF0),sF1) = sF0,
inference(subsumption_resolution,[],[f785,f173]) ).
fof(f173,plain,
sF0 != sF1,
inference(definition_folding,[],[f167,f172,f171,f171]) ).
fof(f172,plain,
second(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f167,axiom,
ordered_pair(x,y) != second(ordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_OP_determines_components1_2) ).
fof(f785,plain,
( sF0 = sF1
| ordered_pair(first(sF0),sF1) = sF0 ),
inference(superposition,[],[f157,f172]) ).
fof(f157,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| second(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_5) ).
fof(f1040,plain,
member(ordered_pair(first(sF0),sF1),cross_product(universal_class,universal_class)),
inference(subsumption_resolution,[],[f1036,f173]) ).
fof(f1036,plain,
( sF0 = sF1
| member(ordered_pair(first(sF0),sF1),cross_product(universal_class,universal_class)) ),
inference(superposition,[],[f161,f172]) ).
fof(f161,axiom,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_non_sets2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET120-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.12/0.13 % 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 : n023.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 13:40:50 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.50 % (9910)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (9931)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (9923)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)
% 0.20/0.52 % (9911)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (9904)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)
% 0.20/0.53 % (9919)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)
% 0.20/0.53 % (9911)Instruction limit reached!
% 0.20/0.53 % (9911)------------------------------
% 0.20/0.53 % (9911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9911)Termination reason: Unknown
% 0.20/0.53 % (9911)Termination phase: Function definition elimination
% 0.20/0.53
% 0.20/0.53 % (9911)Memory used [KB]: 1023
% 0.20/0.53 % (9911)Time elapsed: 0.003 s
% 0.20/0.53 % (9911)Instructions burned: 2 (million)
% 0.20/0.53 % (9911)------------------------------
% 0.20/0.53 % (9911)------------------------------
% 0.20/0.53 % (9910)Instruction limit reached!
% 0.20/0.53 % (9910)------------------------------
% 0.20/0.53 % (9910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9910)Termination reason: Unknown
% 0.20/0.53 % (9910)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (9910)Memory used [KB]: 5500
% 0.20/0.53 % (9910)Time elapsed: 0.005 s
% 0.20/0.53 % (9910)Instructions burned: 7 (million)
% 0.20/0.53 % (9910)------------------------------
% 0.20/0.53 % (9910)------------------------------
% 0.20/0.53 % (9921)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (9932)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)
% 0.20/0.54 % (9918)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)
% 0.20/0.54 % (9906)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)
% 0.20/0.54 % (9924)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (9917)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)
% 0.20/0.54 % (9920)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (9922)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)
% 0.20/0.55 % (9912)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)
% 0.20/0.55 % (9926)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)
% 0.20/0.55 % (9905)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)
% 0.20/0.55 % (9916)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (9915)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.55 % (9909)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)
% 0.20/0.55 % (9908)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)
% 0.20/0.55 % (9907)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (9927)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (9913)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (9903)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)
% 0.20/0.56 % (9930)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)
% 0.20/0.56 % (9928)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56 % (9925)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)
% 1.54/0.57 % (9929)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)
% 1.54/0.57 % (9904)Instruction limit reached!
% 1.54/0.57 % (9904)------------------------------
% 1.54/0.57 % (9904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (9914)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)
% 1.73/0.58 % (9904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58 % (9904)Termination reason: Unknown
% 1.73/0.58 % (9904)Termination phase: Saturation
% 1.73/0.58
% 1.73/0.58 % (9904)Memory used [KB]: 6396
% 1.73/0.58 % (9904)Time elapsed: 0.161 s
% 1.73/0.58 % (9904)Instructions burned: 50 (million)
% 1.73/0.58 % (9904)------------------------------
% 1.73/0.58 % (9904)------------------------------
% 1.73/0.61 % (9905)Instruction limit reached!
% 1.73/0.61 % (9905)------------------------------
% 1.73/0.61 % (9905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (9905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (9905)Termination reason: Unknown
% 1.73/0.61 % (9905)Termination phase: Saturation
% 1.73/0.61
% 1.73/0.61 % (9905)Memory used [KB]: 1535
% 1.73/0.61 % (9905)Time elapsed: 0.193 s
% 1.73/0.61 % (9905)Instructions burned: 39 (million)
% 1.73/0.61 % (9905)------------------------------
% 1.73/0.61 % (9905)------------------------------
% 1.73/0.61 % (9909)Instruction limit reached!
% 1.73/0.61 % (9909)------------------------------
% 1.73/0.61 % (9909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (9909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (9909)Termination reason: Unknown
% 1.73/0.61 % (9909)Termination phase: Finite model building preprocessing
% 1.73/0.61
% 1.73/0.61 % (9909)Memory used [KB]: 1663
% 1.73/0.61 % (9909)Time elapsed: 0.024 s
% 1.73/0.61 % (9909)Instructions burned: 53 (million)
% 1.73/0.61 % (9909)------------------------------
% 1.73/0.61 % (9909)------------------------------
% 1.73/0.63 % (9912)Instruction limit reached!
% 1.73/0.63 % (9912)------------------------------
% 1.73/0.63 % (9912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63 % (9912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63 % (9912)Termination reason: Unknown
% 1.73/0.63 % (9912)Termination phase: Saturation
% 1.73/0.63
% 1.73/0.63 % (9912)Memory used [KB]: 1918
% 1.73/0.63 % (9912)Time elapsed: 0.186 s
% 1.73/0.63 % (9912)Instructions burned: 51 (million)
% 1.73/0.63 % (9912)------------------------------
% 1.73/0.63 % (9912)------------------------------
% 2.10/0.64 % (9971)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)
% 2.10/0.64 % (9907)Instruction limit reached!
% 2.10/0.64 % (9907)------------------------------
% 2.10/0.64 % (9907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (9907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (9907)Termination reason: Unknown
% 2.10/0.64 % (9907)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (9907)Memory used [KB]: 6396
% 2.10/0.64 % (9907)Time elapsed: 0.207 s
% 2.10/0.64 % (9907)Instructions burned: 51 (million)
% 2.10/0.64 % (9907)------------------------------
% 2.10/0.64 % (9907)------------------------------
% 2.10/0.64 % (9913)Instruction limit reached!
% 2.10/0.64 % (9913)------------------------------
% 2.10/0.64 % (9913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (9913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (9913)Termination reason: Unknown
% 2.10/0.64 % (9913)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (9913)Memory used [KB]: 6396
% 2.10/0.64 % (9913)Time elapsed: 0.217 s
% 2.10/0.64 % (9913)Instructions burned: 50 (million)
% 2.10/0.64 % (9913)------------------------------
% 2.10/0.64 % (9913)------------------------------
% 2.10/0.64 % (9908)Instruction limit reached!
% 2.10/0.64 % (9908)------------------------------
% 2.10/0.64 % (9908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.64 % (9908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.64 % (9908)Termination reason: Unknown
% 2.10/0.64 % (9908)Termination phase: Saturation
% 2.10/0.64
% 2.10/0.64 % (9908)Memory used [KB]: 6140
% 2.10/0.64 % (9908)Time elapsed: 0.234 s
% 2.10/0.64 % (9908)Instructions burned: 49 (million)
% 2.10/0.64 % (9908)------------------------------
% 2.10/0.64 % (9908)------------------------------
% 2.10/0.64 % (9973)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.24/0.65 % (9918)First to succeed.
% 2.24/0.65 % (9920)Instruction limit reached!
% 2.24/0.65 % (9920)------------------------------
% 2.24/0.65 % (9920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.65 % (9920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65 % (9920)Termination reason: Unknown
% 2.24/0.65 % (9920)Termination phase: Finite model building preprocessing
% 2.24/0.65
% 2.24/0.65 % (9920)Memory used [KB]: 2174
% 2.24/0.65 % (9920)Time elapsed: 0.026 s
% 2.24/0.65 % (9920)Instructions burned: 60 (million)
% 2.24/0.65 % (9920)------------------------------
% 2.24/0.65 % (9920)------------------------------
% 2.24/0.66 % (9906)Instruction limit reached!
% 2.24/0.66 % (9906)------------------------------
% 2.24/0.66 % (9906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (9918)Refutation found. Thanks to Tanya!
% 2.24/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.24/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.24/0.66 % (9918)------------------------------
% 2.24/0.66 % (9918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (9918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66 % (9918)Termination reason: Refutation
% 2.24/0.66
% 2.24/0.66 % (9918)Memory used [KB]: 1918
% 2.24/0.66 % (9918)Time elapsed: 0.206 s
% 2.24/0.66 % (9918)Instructions burned: 57 (million)
% 2.24/0.66 % (9918)------------------------------
% 2.24/0.66 % (9918)------------------------------
% 2.24/0.66 % (9888)Success in time 0.301 s
%------------------------------------------------------------------------------