TSTP Solution File: LAT042-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.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 17:31:35 EDT 2022
% Result : Unsatisfiable 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 16 ( 16 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f230,plain,
$false,
inference(trivial_inequality_removal,[],[f229]) ).
fof(f229,plain,
join(a,meet(c,b)) != join(a,meet(c,b)),
inference(superposition,[],[f134,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f134,plain,
join(a,meet(b,c)) != join(a,meet(c,b)),
inference(forward_demodulation,[],[f130,f101]) ).
fof(f101,plain,
! [X10,X8,X9] : join(X8,X10) = join(X8,join(meet(X8,X9),X10)),
inference(superposition,[],[f8,f4]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f130,plain,
join(a,join(meet(a,b),meet(b,c))) != join(a,meet(c,b)),
inference(superposition,[],[f127,f5]) ).
fof(f127,plain,
join(a,join(meet(b,a),meet(b,c))) != join(a,meet(c,b)),
inference(forward_demodulation,[],[f126,f101]) ).
fof(f126,plain,
join(a,join(meet(a,b),meet(c,b))) != join(a,join(meet(b,a),meet(b,c))),
inference(backward_demodulation,[],[f122,f101]) ).
fof(f122,plain,
join(a,join(meet(b,a),meet(b,c))) != join(a,join(meet(a,c),join(meet(a,b),meet(c,b)))),
inference(backward_demodulation,[],[f93,f118]) ).
fof(f118,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(X6,join(X5,X7)),
inference(forward_demodulation,[],[f100,f8]) ).
fof(f100,plain,
! [X6,X7,X5] : join(X5,join(X6,X7)) = join(join(X6,X5),X7),
inference(superposition,[],[f8,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f93,plain,
join(a,join(meet(b,a),meet(b,c))) != join(a,join(meet(a,b),join(meet(a,c),meet(c,b)))),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f92,plain,
join(meet(a,a),join(meet(a,b),join(meet(a,c),meet(c,b)))) != join(a,join(meet(b,a),meet(b,c))),
inference(forward_demodulation,[],[f91,f8]) ).
fof(f91,plain,
join(a,join(meet(b,a),meet(b,c))) != join(join(meet(a,a),meet(a,b)),join(meet(a,c),meet(c,b))),
inference(forward_demodulation,[],[f86,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity) ).
fof(f86,plain,
join(a,join(meet(b,a),meet(b,c))) != join(meet(a,join(a,b)),join(meet(a,c),meet(c,b))),
inference(superposition,[],[f66,f5]) ).
fof(f66,plain,
join(a,join(meet(b,a),meet(b,c))) != join(meet(join(a,b),a),join(meet(a,c),meet(c,b))),
inference(superposition,[],[f37,f5]) ).
fof(f37,plain,
join(a,join(meet(b,a),meet(b,c))) != join(meet(join(a,b),a),join(meet(c,a),meet(c,b))),
inference(forward_demodulation,[],[f28,f9]) ).
fof(f28,plain,
join(a,join(meet(b,a),meet(b,c))) != join(meet(join(a,b),a),meet(c,join(a,b))),
inference(superposition,[],[f18,f5]) ).
fof(f18,plain,
join(a,join(meet(b,a),meet(b,c))) != join(meet(join(a,b),a),meet(join(a,b),c)),
inference(forward_demodulation,[],[f17,f9]) ).
fof(f17,plain,
join(a,meet(b,join(a,c))) != join(meet(join(a,b),a),meet(join(a,b),c)),
inference(forward_demodulation,[],[f13,f9]) ).
fof(f13,axiom,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modular_law) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT042-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.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 00:59:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52 % (25392)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52 % (25400)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (25395)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (25393)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (25400)First to succeed.
% 0.19/0.53 % (25414)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.19/0.53 % (25402)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.19/0.53 % (25398)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.54 % (25413)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 1.43/0.54 % (25400)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (25400)------------------------------
% 1.43/0.54 % (25400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (25400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (25400)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (25400)Memory used [KB]: 5628
% 1.43/0.54 % (25400)Time elapsed: 0.116 s
% 1.43/0.54 % (25400)Instructions burned: 13 (million)
% 1.43/0.54 % (25400)------------------------------
% 1.43/0.54 % (25400)------------------------------
% 1.43/0.54 % (25388)Success in time 0.185 s
%------------------------------------------------------------------------------