TSTP Solution File: SET017-7 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET017-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 18:23:08 EDT 2022
% Result : Unsatisfiable 2.36s 0.68s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 99 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 42 ~; 46 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f395,plain,
$false,
inference(avatar_sat_refutation,[],[f224,f236,f251,f259,f283,f291,f394]) ).
fof(f394,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( x != x
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[],[f260,f383]) ).
fof(f383,plain,
( x = y
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f278,f267]) ).
fof(f267,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,x))
| x = X0 )
| ~ spl0_3 ),
inference(backward_demodulation,[],[f265,f266]) ).
fof(f266,plain,
( unordered_pair(x,y) = unordered_pair(x,x)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f114,f246]) ).
fof(f246,plain,
( x = z
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f244,plain,
( spl0_3
<=> x = z ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f114,axiom,
unordered_pair(x,y) = unordered_pair(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_1) ).
fof(f265,plain,
( ! [X0] :
( x = X0
| ~ member(X0,unordered_pair(x,y)) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f264,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,y))
| x = X0
| x = X0 )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f227,f246]) ).
fof(f227,plain,
! [X0] :
( x = X0
| z = X0
| ~ member(X0,unordered_pair(x,y)) ),
inference(superposition,[],[f8,f114]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f278,plain,
( member(y,unordered_pair(x,x))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_5
<=> member(y,unordered_pair(x,x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f260,plain,
( x != y
| ~ spl0_3
| spl0_4 ),
inference(backward_demodulation,[],[f249,f246]) ).
fof(f249,plain,
( y != z
| spl0_4 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_4
<=> y = z ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f291,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f286,f244,f280]) ).
fof(f280,plain,
( spl0_6
<=> member(y,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f286,plain,
( member(y,universal_class)
| ~ spl0_3 ),
inference(resolution,[],[f172,f263]) ).
fof(f263,plain,
( member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(x,x))),cross_product(universal_class,universal_class))
| ~ spl0_3 ),
inference(forward_demodulation,[],[f149,f246]) ).
fof(f149,plain,
member(unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),cross_product(universal_class,universal_class)),
inference(forward_demodulation,[],[f115,f124]) ).
fof(f124,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(forward_demodulation,[],[f123,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f123,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(forward_demodulation,[],[f13,f12]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f115,axiom,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_2) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X2,universal_class) ),
inference(forward_demodulation,[],[f94,f124]) ).
fof(f94,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_cartesian_product) ).
fof(f283,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f272,f244,f280,f276]) ).
fof(f272,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(x,x))
| ~ spl0_3 ),
inference(superposition,[],[f10,f266]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f259,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f116,f248]) ).
fof(f116,axiom,
y != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_cancellation_3) ).
fof(f251,plain,
( spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f242,f217,f248,f244]) ).
fof(f217,plain,
( spl0_1
<=> member(z,unordered_pair(x,y)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f242,plain,
( y = z
| x = z
| ~ spl0_1 ),
inference(resolution,[],[f219,f8]) ).
fof(f219,plain,
( member(z,unordered_pair(x,y))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f236,plain,
spl0_2,
inference(avatar_split_clause,[],[f231,f221]) ).
fof(f221,plain,
( spl0_2
<=> member(z,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f231,plain,
member(z,universal_class),
inference(resolution,[],[f125,f149]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(backward_demodulation,[],[f15,f124]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f224,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f213,f221,f217]) ).
fof(f213,plain,
( ~ member(z,universal_class)
| member(z,unordered_pair(x,y)) ),
inference(superposition,[],[f10,f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET017-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:23:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (27834)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (27818)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (27826)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)
% 1.42/0.57 % (27811)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)
% 1.42/0.57 % (27818)Instruction limit reached!
% 1.42/0.57 % (27818)------------------------------
% 1.42/0.57 % (27818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (27818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (27818)Termination reason: Unknown
% 1.42/0.57 % (27818)Termination phase: Property scanning
% 1.42/0.57
% 1.42/0.57 % (27818)Memory used [KB]: 1023
% 1.42/0.57 % (27818)Time elapsed: 0.004 s
% 1.42/0.57 % (27818)Instructions burned: 3 (million)
% 1.42/0.57 % (27818)------------------------------
% 1.42/0.57 % (27818)------------------------------
% 1.75/0.58 % (27824)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)
% 1.75/0.58 % (27810)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)
% 1.75/0.59 % (27827)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.75/0.59 % (27815)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)
% 1.75/0.59 % (27823)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.59 % (27813)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)
% 1.75/0.59 % (27825)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)
% 1.75/0.59 % (27816)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)
% 1.75/0.60 % (27833)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)
% 1.75/0.60 % (27817)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.60 % (27812)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)
% 1.75/0.60 % (27814)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.60 % (27819)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)
% 1.75/0.61 % (27817)Instruction limit reached!
% 1.75/0.61 % (27817)------------------------------
% 1.75/0.61 % (27817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.61 % (27817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.61 % (27817)Termination reason: Unknown
% 1.75/0.61 % (27817)Termination phase: Saturation
% 1.75/0.61
% 1.75/0.61 % (27817)Memory used [KB]: 5628
% 1.75/0.61 % (27817)Time elapsed: 0.140 s
% 1.75/0.61 % (27817)Instructions burned: 7 (million)
% 1.75/0.61 % (27817)------------------------------
% 1.75/0.61 % (27817)------------------------------
% 1.75/0.61 % (27835)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.75/0.61 % (27829)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)
% 1.75/0.61 % (27838)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.75/0.62 % (27836)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)
% 1.75/0.62 % (27830)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)
% 1.75/0.62 % (27828)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.75/0.62 % (27832)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)
% 1.75/0.62 % (27839)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)
% 1.75/0.62 % (27822)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.75/0.62 % (27821)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)
% 1.75/0.63 % (27831)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.75/0.63 % (27837)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)
% 1.75/0.63 % (27820)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.75/0.66 % (27839)First to succeed.
% 1.75/0.66 % (27811)Instruction limit reached!
% 1.75/0.66 % (27811)------------------------------
% 1.75/0.66 % (27811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67 % (27811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67 % (27811)Termination reason: Unknown
% 2.36/0.67 % (27811)Termination phase: Saturation
% 2.36/0.67
% 2.36/0.67 % (27811)Memory used [KB]: 6396
% 2.36/0.67 % (27811)Time elapsed: 0.227 s
% 2.36/0.67 % (27811)Instructions burned: 50 (million)
% 2.36/0.67 % (27811)------------------------------
% 2.36/0.67 % (27811)------------------------------
% 2.36/0.68 % (27833)Also succeeded, but the first one will report.
% 2.36/0.68 % (27839)Refutation found. Thanks to Tanya!
% 2.36/0.68 % SZS status Unsatisfiable for theBenchmark
% 2.36/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.68 % (27839)------------------------------
% 2.36/0.68 % (27839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.68 % (27839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.68 % (27839)Termination reason: Refutation
% 2.36/0.68
% 2.36/0.68 % (27839)Memory used [KB]: 5756
% 2.36/0.68 % (27839)Time elapsed: 0.243 s
% 2.36/0.68 % (27839)Instructions burned: 17 (million)
% 2.36/0.68 % (27839)------------------------------
% 2.36/0.68 % (27839)------------------------------
% 2.36/0.68 % (27809)Success in time 0.329 s
%------------------------------------------------------------------------------