TSTP Solution File: BOO001-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n004.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 15:49:17 EDT 2022
% Result : Unsatisfiable 1.31s 0.55s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(trivial_inequality_removal,[],[f164]) ).
fof(f164,plain,
a != a,
inference(superposition,[],[f6,f147]) ).
fof(f147,plain,
! [X20] : inverse(inverse(X20)) = X20,
inference(superposition,[],[f132,f5]) ).
fof(f5,axiom,
! [X2,X3] : multiply(X2,X3,inverse(X3)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f132,plain,
! [X31,X30] : multiply(X31,inverse(X31),X30) = X30,
inference(superposition,[],[f42,f5]) ).
fof(f42,plain,
! [X3,X4,X5] : multiply(X5,X3,X4) = multiply(X3,X4,multiply(X5,X3,X4)),
inference(superposition,[],[f7,f2]) ).
fof(f2,axiom,
! [X2,X3] : multiply(X3,X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ternary_multiply_1) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X1,X2,multiply(X0,X1,X3)) = multiply(X0,X1,multiply(X1,X2,X3)),
inference(superposition,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f6,axiom,
a != inverse(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.36 % Computer : n004.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Aug 29 15:58:50 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.20/0.53 % (14662)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)
% 0.20/0.53 % (14654)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)
% 1.31/0.54 % (14644)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)
% 1.31/0.54 % (14651)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)
% 1.31/0.54 % (14642)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)
% 1.31/0.55 % (14660)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.31/0.55 % (14644)Instruction limit reached!
% 1.31/0.55 % (14644)------------------------------
% 1.31/0.55 % (14644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55 % (14644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55 % (14644)Termination reason: Unknown
% 1.31/0.55 % (14644)Termination phase: Saturation
% 1.31/0.55
% 1.31/0.55 % (14644)Memory used [KB]: 5628
% 1.31/0.55 % (14644)Time elapsed: 0.072 s
% 1.31/0.55 % (14644)Instructions burned: 7 (million)
% 1.31/0.55 % (14644)------------------------------
% 1.31/0.55 % (14644)------------------------------
% 1.31/0.55 % (14639)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)
% 1.31/0.55 % (14640)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.31/0.55 % (14650)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)
% 1.31/0.55 % (14669)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)
% 1.31/0.55 % (14649)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.31/0.55 % (14655)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)
% 1.31/0.55 % (14654)First to succeed.
% 1.31/0.55 % (14643)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)
% 1.31/0.55 % (14654)Refutation found. Thanks to Tanya!
% 1.31/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.31/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.55 % (14654)------------------------------
% 1.31/0.55 % (14654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55 % (14654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55 % (14654)Termination reason: Refutation
% 1.31/0.55
% 1.31/0.55 % (14654)Memory used [KB]: 5628
% 1.31/0.55 % (14654)Time elapsed: 0.075 s
% 1.31/0.55 % (14654)Instructions burned: 13 (million)
% 1.31/0.55 % (14654)------------------------------
% 1.31/0.55 % (14654)------------------------------
% 1.31/0.55 % (14634)Success in time 0.182 s
%------------------------------------------------------------------------------