TSTP Solution File: GRP168-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n015.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 16:14:40 EDT 2022
% Result : Unsatisfiable 1.71s 0.61s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(trivial_inequality_removal,[],[f20]) ).
fof(f20,plain,
multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),multiply(a,c)),
inference(forward_demodulation,[],[f19,f16]) ).
fof(f16,axiom,
a = greatest_lower_bound(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p01b_1) ).
fof(f19,plain,
multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),multiply(greatest_lower_bound(a,b),c)),
inference(forward_demodulation,[],[f18,f15]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f18,plain,
multiply(inverse(c),multiply(a,c)) != multiply(inverse(c),greatest_lower_bound(multiply(a,c),multiply(b,c))),
inference(forward_demodulation,[],[f17,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_glb1) ).
fof(f17,axiom,
multiply(inverse(c),multiply(a,c)) != greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p01b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP168-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:29:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % (10392)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.21/0.54 % (10393)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.21/0.55 % (10385)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.55 % (10384)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)
% 0.21/0.55 % (10384)Instruction limit reached!
% 0.21/0.55 % (10384)------------------------------
% 0.21/0.55 % (10384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (10400)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.21/0.56 % (10401)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)
% 0.21/0.56 % (10384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (10384)Termination reason: Unknown
% 0.21/0.56 % (10384)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (10384)Memory used [KB]: 5628
% 0.21/0.56 % (10384)Time elapsed: 0.132 s
% 0.21/0.56 % (10384)Instructions burned: 8 (million)
% 0.21/0.56 % (10384)------------------------------
% 0.21/0.56 % (10384)------------------------------
% 0.21/0.59 % (10378)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.71/0.60 % (10387)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)
% 1.71/0.60 % (10405)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 1.71/0.60 % (10407)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)
% 1.71/0.60 % (10406)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.71/0.60 % (10394)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)
% 1.71/0.60 % (10379)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 1.71/0.61 % (10385)Instruction limit reached!
% 1.71/0.61 % (10385)------------------------------
% 1.71/0.61 % (10385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (10386)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.71/0.61 % (10381)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)
% 1.71/0.61 % (10383)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.71/0.61 % (10403)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.71/0.61 % (10403)First to succeed.
% 1.71/0.61 % (10385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (10385)Termination reason: Unknown
% 1.71/0.61 % (10385)Termination phase: Saturation
% 1.71/0.61 % (10382)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)
% 1.71/0.61
% 1.71/0.61 % (10385)Memory used [KB]: 6268
% 1.71/0.61 % (10385)Time elapsed: 0.173 s
% 1.71/0.61 % (10385)Instructions burned: 34 (million)
% 1.71/0.61 % (10385)------------------------------
% 1.71/0.61 % (10385)------------------------------
% 1.71/0.61 % (10382)Also succeeded, but the first one will report.
% 1.71/0.61 % (10403)Refutation found. Thanks to Tanya!
% 1.71/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.71/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.61 % (10403)------------------------------
% 1.71/0.61 % (10403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (10403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (10403)Termination reason: Refutation
% 1.71/0.61
% 1.71/0.61 % (10403)Memory used [KB]: 5500
% 1.71/0.61 % (10403)Time elapsed: 0.003 s
% 1.71/0.61 % (10403)------------------------------
% 1.71/0.61 % (10403)------------------------------
% 1.71/0.61 % (10377)Success in time 0.251 s
%------------------------------------------------------------------------------