TSTP Solution File: SET113-7 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET113-7 : 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 18:23:47 EDT 2022
% Result : Unsatisfiable 0.10s 0.53s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 16 unt; 0 def)
% Number of atoms : 28 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f840,plain,
$false,
inference(subsumption_resolution,[],[f839,f776]) ).
fof(f776,plain,
~ member(x,sF3),
inference(backward_demodulation,[],[f169,f775]) ).
fof(f775,plain,
x = sF2,
inference(backward_demodulation,[],[f167,f774]) ).
fof(f774,plain,
x = ordered_pair(sF0,sF1),
inference(forward_demodulation,[],[f773,f166]) ).
fof(f166,plain,
second(x) = sF1,
introduced(function_definition,[]) ).
fof(f773,plain,
x = ordered_pair(sF0,second(x)),
inference(subsumption_resolution,[],[f756,f170]) ).
fof(f170,plain,
x != sF0,
inference(definition_folding,[],[f161,f165]) ).
fof(f165,plain,
first(x) = sF0,
introduced(function_definition,[]) ).
fof(f161,axiom,
x != first(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_in_pair_of_non_sets) ).
fof(f756,plain,
( x = sF0
| x = ordered_pair(sF0,second(x)) ),
inference(superposition,[],[f156,f165]) ).
fof(f156,axiom,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
| first(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_4) ).
fof(f167,plain,
ordered_pair(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f169,plain,
~ member(sF2,sF3),
inference(definition_folding,[],[f160,f168,f167,f166,f165]) ).
fof(f168,plain,
cross_product(universal_class,universal_class) = sF3,
introduced(function_definition,[]) ).
fof(f160,axiom,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_non_sets1_1) ).
fof(f839,plain,
member(x,sF3),
inference(forward_demodulation,[],[f838,f774]) ).
fof(f838,plain,
member(ordered_pair(sF0,sF1),sF3),
inference(forward_demodulation,[],[f837,f165]) ).
fof(f837,plain,
member(ordered_pair(first(x),sF1),sF3),
inference(subsumption_resolution,[],[f836,f170]) ).
fof(f836,plain,
( member(ordered_pair(first(x),sF1),sF3)
| x = sF0 ),
inference(forward_demodulation,[],[f832,f165]) ).
fof(f832,plain,
( x = first(x)
| member(ordered_pair(first(x),sF1),sF3) ),
inference(superposition,[],[f184,f166]) ).
fof(f184,plain,
! [X0] :
( member(ordered_pair(first(X0),second(X0)),sF3)
| first(X0) = X0 ),
inference(backward_demodulation,[],[f154,f168]) ).
fof(f154,axiom,
! [X0] :
( first(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_1st_and_2nd_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET113-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.26 % Computer : n023.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Aug 30 13:39:50 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.43 % (6902)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.45 % (6910)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)
% 0.10/0.45 % (6902)Instruction limit reached!
% 0.10/0.45 % (6902)------------------------------
% 0.10/0.45 % (6902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (6903)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.46 % (6911)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)
% 0.10/0.46 % (6903)Instruction limit reached!
% 0.10/0.46 % (6903)------------------------------
% 0.10/0.46 % (6903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (6903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (6903)Termination reason: Unknown
% 0.10/0.46 % (6903)Termination phase: Function definition elimination
% 0.10/0.46
% 0.10/0.46 % (6903)Memory used [KB]: 1023
% 0.10/0.46 % (6903)Time elapsed: 0.005 s
% 0.10/0.46 % (6903)Instructions burned: 2 (million)
% 0.10/0.46 % (6903)------------------------------
% 0.10/0.46 % (6903)------------------------------
% 0.10/0.46 % (6918)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)
% 0.10/0.46 % (6919)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.46 % (6902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (6902)Termination reason: Unknown
% 0.10/0.46 % (6902)Termination phase: Saturation
% 0.10/0.46
% 0.10/0.46 % (6902)Memory used [KB]: 5500
% 0.10/0.46 % (6902)Time elapsed: 0.007 s
% 0.10/0.46 % (6902)Instructions burned: 7 (million)
% 0.10/0.46 % (6902)------------------------------
% 0.10/0.46 % (6902)------------------------------
% 0.10/0.49 % (6900)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)
% 0.10/0.49 % (6908)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.49 % (6907)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.50 % (6895)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)
% 0.10/0.50 % (6898)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)
% 0.10/0.50 % (6897)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)
% 0.10/0.51 % (6922)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)
% 0.10/0.51 % (6917)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)
% 0.10/0.51 % (6924)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)
% 0.10/0.51 % (6923)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.51 % (6899)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.51 % (6913)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.51 % (6909)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)
% 0.10/0.51 % (6914)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)
% 0.10/0.52 % (6905)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.52 % (6901)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)
% 0.10/0.52 % (6906)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)
% 0.10/0.52 % (6921)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)
% 0.10/0.53 % (6916)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.10/0.53 % (6910)First to succeed.
% 0.10/0.53 % (6910)Refutation found. Thanks to Tanya!
% 0.10/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.53 % (6910)------------------------------
% 0.10/0.53 % (6910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.53 % (6910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.53 % (6910)Termination reason: Refutation
% 0.10/0.53
% 0.10/0.53 % (6910)Memory used [KB]: 1663
% 0.10/0.53 % (6910)Time elapsed: 0.191 s
% 0.10/0.53 % (6910)Instructions burned: 44 (million)
% 0.10/0.53 % (6910)------------------------------
% 0.10/0.53 % (6910)------------------------------
% 0.10/0.53 % (6894)Success in time 0.268 s
%------------------------------------------------------------------------------