TSTP Solution File: GRP516-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP516-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 : n005.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 16:16:25 EDT 2022
% Result : Unsatisfiable 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f644,plain,
$false,
inference(trivial_inequality_removal,[],[f571]) ).
fof(f571,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[],[f2,f551]) ).
fof(f551,plain,
! [X14,X13] : multiply(X13,X14) = multiply(X14,X13),
inference(superposition,[],[f12,f521]) ).
fof(f521,plain,
! [X6,X5] : multiply(multiply(X5,X6),inverse(X6)) = X5,
inference(forward_demodulation,[],[f504,f307]) ).
fof(f307,plain,
! [X8,X9,X7] : multiply(multiply(X7,X8),X9) = multiply(multiply(X7,X9),X8),
inference(superposition,[],[f208,f62]) ).
fof(f62,plain,
! [X10,X8,X9] : multiply(X8,X9) = multiply(X8,multiply(multiply(X10,X9),inverse(X10))),
inference(superposition,[],[f4,f12]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))),inverse(X1))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f208,plain,
! [X16,X14,X15] : multiply(X14,X15) = multiply(multiply(X16,X15),multiply(X14,inverse(X16))),
inference(superposition,[],[f4,f63]) ).
fof(f63,plain,
! [X11,X12,X13] : multiply(multiply(X11,X12),multiply(X13,inverse(multiply(X13,X12)))) = X11,
inference(superposition,[],[f3,f12]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f504,plain,
! [X6,X5] : multiply(multiply(X5,inverse(X6)),X6) = X5,
inference(superposition,[],[f395,f1]) ).
fof(f395,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(X3,inverse(X1)),multiply(multiply(X1,X2),inverse(multiply(X0,X2))))) = X3,
inference(backward_demodulation,[],[f4,f307]) ).
fof(f12,plain,
! [X2,X3] : multiply(X2,multiply(X3,inverse(X2))) = X3,
inference(superposition,[],[f3,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f2,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP516-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 22:30:33 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.42 % (8872)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)
% 0.16/0.42 % (8872)Refutation not found, incomplete strategy% (8872)------------------------------
% 0.16/0.42 % (8872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.42 % (8872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.42 % (8872)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.42
% 0.16/0.42 % (8872)Memory used [KB]: 5373
% 0.16/0.42 % (8872)Time elapsed: 0.057 s
% 0.16/0.42 % (8872)Instructions burned: 1 (million)
% 0.16/0.42 % (8872)------------------------------
% 0.16/0.42 % (8872)------------------------------
% 0.16/0.42 % (8882)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 (3000ds/248Mi)
% 0.16/0.42 % (8874)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)
% 0.16/0.43 % (8880)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)
% 0.16/0.47 % (8871)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/353Mi)
% 0.16/0.47 % (8887)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)
% 0.16/0.48 % (8874)Instruction limit reached!
% 0.16/0.48 % (8874)------------------------------
% 0.16/0.48 % (8874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (8874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (8874)Termination reason: Unknown
% 0.16/0.48 % (8874)Termination phase: Saturation
% 0.16/0.48
% 0.16/0.48 % (8874)Memory used [KB]: 6140
% 0.16/0.48 % (8874)Time elapsed: 0.108 s
% 0.16/0.48 % (8874)Instructions burned: 48 (million)
% 0.16/0.48 % (8874)------------------------------
% 0.16/0.48 % (8874)------------------------------
% 0.16/0.48 % (8882)First to succeed.
% 0.16/0.48 % (8879)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.16/0.48 % (8882)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (8882)------------------------------
% 0.16/0.48 % (8882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48 % (8882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48 % (8882)Termination reason: Refutation
% 0.16/0.48
% 0.16/0.48 % (8882)Memory used [KB]: 1918
% 0.16/0.48 % (8882)Time elapsed: 0.105 s
% 0.16/0.48 % (8882)Instructions burned: 49 (million)
% 0.16/0.48 % (8882)------------------------------
% 0.16/0.48 % (8882)------------------------------
% 0.16/0.48 % (8857)Success in time 0.159 s
%------------------------------------------------------------------------------