TSTP Solution File: GRP518-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n016.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 16:16:26 EDT 2022
% Result : Unsatisfiable 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(subsumption_resolution,[],[f134,f117]) ).
fof(f117,plain,
! [X12,X13] : multiply(X12,multiply(X13,inverse(X13))) = X12,
inference(backward_demodulation,[],[f53,f86]) ).
fof(f86,plain,
! [X8,X7] : multiply(X8,X7) = multiply(X7,X8),
inference(superposition,[],[f81,f23]) ).
fof(f23,plain,
! [X6,X4] : multiply(inverse(X4),multiply(X6,X4)) = X6,
inference(superposition,[],[f1,f14]) ).
fof(f14,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),
inference(superposition,[],[f11,f1]) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X2),X3),multiply(multiply(inverse(multiply(X0,X1)),X2),X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f81,plain,
! [X10,X8] : multiply(X8,multiply(inverse(X8),X10)) = X10,
inference(forward_demodulation,[],[f65,f53]) ).
fof(f65,plain,
! [X10,X8,X9] : multiply(X8,multiply(multiply(inverse(X8),X10),multiply(inverse(X9),X9))) = X10,
inference(superposition,[],[f1,f53]) ).
fof(f53,plain,
! [X12,X13] : multiply(X12,multiply(inverse(X13),X13)) = X12,
inference(superposition,[],[f1,f32]) ).
fof(f32,plain,
! [X8,X7] : inverse(X7) = multiply(inverse(multiply(X8,X7)),X8),
inference(superposition,[],[f23,f23]) ).
fof(f134,plain,
a2 != multiply(a2,multiply(b2,inverse(b2))),
inference(superposition,[],[f115,f86]) ).
fof(f115,plain,
a2 != multiply(a2,multiply(inverse(b2),b2)),
inference(backward_demodulation,[],[f2,f86]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 22:53:15 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.45 % (18600)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.14/0.46 % (18599)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 (3000ds/7Mi)
% 0.14/0.46 % (18607)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 (3000ds/321Mi)
% 0.14/0.47 % (18599)Instruction limit reached!
% 0.14/0.47 % (18599)------------------------------
% 0.14/0.47 % (18599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (18615)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.14/0.47 % (18599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (18599)Termination reason: Unknown
% 0.14/0.47 % (18599)Termination phase: Saturation
% 0.14/0.47
% 0.14/0.47 % (18599)Memory used [KB]: 5500
% 0.14/0.47 % (18599)Time elapsed: 0.106 s
% 0.14/0.47 % (18599)Instructions burned: 8 (million)
% 0.14/0.47 % (18599)------------------------------
% 0.14/0.47 % (18599)------------------------------
% 0.14/0.47 % (18616)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 (3000ds/111Mi)
% 0.14/0.48 % (18608)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 (3000ds/212Mi)
% 0.14/0.49 % (18608)First to succeed.
% 0.14/0.49 % (18601)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 (3000ds/37Mi)
% 0.14/0.49 % (18603)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 (3000ds/37Mi)
% 0.14/0.49 % (18605)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 (3000ds/292Mi)
% 0.14/0.49 % (18604)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 (3000ds/48Mi)
% 0.14/0.50 % (18600)Instruction limit reached!
% 0.14/0.50 % (18600)------------------------------
% 0.14/0.50 % (18600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (18608)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (18608)------------------------------
% 0.14/0.50 % (18608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50 % (18608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (18608)Termination reason: Refutation
% 0.14/0.50
% 0.14/0.50 % (18608)Memory used [KB]: 5628
% 0.14/0.50 % (18608)Time elapsed: 0.130 s
% 0.14/0.50 % (18608)Instructions burned: 9 (million)
% 0.14/0.50 % (18608)------------------------------
% 0.14/0.50 % (18608)------------------------------
% 0.14/0.50 % (18592)Success in time 0.194 s
%------------------------------------------------------------------------------