TSTP Solution File: SET018-7 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET018-7 : 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 : n009.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 18:23:10 EDT 2022
% Result : Unsatisfiable 1.40s 0.60s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 42 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f379,plain,
$false,
inference(avatar_sat_refutation,[],[f352,f371,f377]) ).
fof(f377,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f374]) ).
fof(f374,plain,
( x != x
| ~ spl0_6 ),
inference(backward_demodulation,[],[f170,f351]) ).
fof(f351,plain,
( x = z
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl0_6
<=> x = z ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f170,axiom,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_3) ).
fof(f371,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f347,f169]) ).
fof(f169,axiom,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_2) ).
fof(f347,plain,
( ~ member(x,universal_class)
| spl0_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl0_5
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f352,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f343,f349,f345]) ).
fof(f343,plain,
( x = z
| ~ member(x,universal_class) ),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X0,X1] :
( unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) != unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))
| ~ member(X1,universal_class)
| z = X1 ),
inference(superposition,[],[f259,f272]) ).
fof(f272,plain,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(forward_demodulation,[],[f251,f221]) ).
fof(f221,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(forward_demodulation,[],[f185,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f185,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,singleton(X1))),
inference(backward_demodulation,[],[f13,f12]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f251,plain,
ordered_pair(y,z) = unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))),
inference(backward_demodulation,[],[f168,f221]) ).
fof(f168,axiom,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_determines_components2_1) ).
fof(f259,plain,
! [X0,X1,X6,X4] :
( unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))) != unordered_pair(unordered_pair(X6,X6),unordered_pair(X6,unordered_pair(X0,X0)))
| X0 = X4
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f237,f221]) ).
fof(f237,plain,
! [X0,X1,X6,X4] :
( X0 = X4
| ~ member(X0,universal_class)
| ordered_pair(X6,X0) != unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X4,X4))) ),
inference(backward_demodulation,[],[f152,f221]) ).
fof(f152,axiom,
! [X0,X1,X6,X4] :
( X0 = X4
| ordered_pair(X1,X4) != ordered_pair(X6,X0)
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair_determines_components2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET018-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:52:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.40/0.54 % (24263)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)
% 1.40/0.55 % (24272)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)
% 1.40/0.55 % (24279)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)
% 1.40/0.55 % (24280)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.40/0.55 % (24277)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.40/0.55 % (24254)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)
% 1.40/0.55 % (24258)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)
% 1.40/0.56 % (24275)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)
% 1.40/0.56 % (24256)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.56 % (24267)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)
% 1.40/0.56 % (24278)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)
% 1.40/0.56 % (24259)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.56 % (24255)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)
% 1.40/0.56 % (24252)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)
% 1.40/0.56 % (24271)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)
% 1.40/0.56 % (24253)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)
% 1.40/0.56 % (24273)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.56 % (24262)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.57 % (24281)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)
% 1.40/0.57 % (24265)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.57 % (24270)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.57 % (24259)Instruction limit reached!
% 1.40/0.57 % (24259)------------------------------
% 1.40/0.57 % (24259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.57 % (24259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.57 % (24259)Termination reason: Unknown
% 1.40/0.57 % (24259)Termination phase: Saturation
% 1.40/0.57
% 1.40/0.57 % (24259)Memory used [KB]: 5628
% 1.40/0.57 % (24259)Time elapsed: 0.100 s
% 1.40/0.57 % (24259)Instructions burned: 8 (million)
% 1.40/0.57 % (24259)------------------------------
% 1.40/0.57 % (24259)------------------------------
% 1.40/0.57 % (24269)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.57 % (24257)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)
% 1.40/0.58 % (24274)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)
% 1.40/0.58 % (24260)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.58 % (24260)Instruction limit reached!
% 1.40/0.58 % (24260)------------------------------
% 1.40/0.58 % (24260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.58 % (24260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.58 % (24260)Termination reason: Unknown
% 1.40/0.58 % (24260)Termination phase: Function definition elimination
% 1.40/0.58
% 1.40/0.58 % (24260)Memory used [KB]: 1023
% 1.40/0.58 % (24260)Time elapsed: 0.002 s
% 1.40/0.58 % (24260)Instructions burned: 3 (million)
% 1.40/0.58 % (24260)------------------------------
% 1.40/0.58 % (24260)------------------------------
% 1.40/0.58 % (24268)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)
% 1.40/0.58 % (24266)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)
% 1.40/0.58 % (24264)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.59 % (24261)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)
% 1.40/0.59 % (24276)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.60 % (24281)First to succeed.
% 1.40/0.60 % (24281)Refutation found. Thanks to Tanya!
% 1.40/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.60 % (24281)------------------------------
% 1.40/0.60 % (24281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.60 % (24281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.60 % (24281)Termination reason: Refutation
% 1.40/0.60
% 1.40/0.60 % (24281)Memory used [KB]: 5756
% 1.40/0.60 % (24281)Time elapsed: 0.200 s
% 1.40/0.60 % (24281)Instructions burned: 19 (million)
% 1.40/0.60 % (24281)------------------------------
% 1.40/0.60 % (24281)------------------------------
% 1.40/0.60 % (24251)Success in time 0.248 s
%------------------------------------------------------------------------------