TSTP Solution File: GRP536-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP536-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 16:22:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,plain,
$false,
inference(trivial_inequality_removal,[],[f158]) ).
fof(f158,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f127]) ).
fof(f127,plain,
! [X2,X1] : multiply(X2,X1) = multiply(X1,X2),
inference(superposition,[],[f124,f29]) ).
fof(f29,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f28,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f28,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[],[f16,f7]) ).
fof(f7,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f16,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f124,plain,
! [X6,X7] : multiply(divide(X6,X7),X7) = X6,
inference(forward_demodulation,[],[f122,f55]) ).
fof(f55,plain,
! [X2,X3] : divide(X3,X2) = multiply(X3,inverse(X2)),
inference(superposition,[],[f6,f48]) ).
fof(f48,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(backward_demodulation,[],[f12,f45]) ).
fof(f45,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f6,f36]) ).
fof(f36,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f29,f13]) ).
fof(f13,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f4,f6]) ).
fof(f12,plain,
! [X3] : multiply(identity,X3) = inverse(inverse(X3)),
inference(superposition,[],[f6,f7]) ).
fof(f122,plain,
! [X6,X7] : multiply(multiply(X6,inverse(X7)),X7) = X6,
inference(superposition,[],[f6,f99]) ).
fof(f99,plain,
! [X2,X1] : divide(multiply(X1,X2),X2) = X1,
inference(superposition,[],[f64,f29]) ).
fof(f64,plain,
! [X2,X3] : divide(X2,divide(X2,X3)) = X3,
inference(forward_demodulation,[],[f58,f49]) ).
fof(f49,plain,
! [X1] : divide(X1,identity) = X1,
inference(backward_demodulation,[],[f38,f48]) ).
fof(f38,plain,
! [X1] : divide(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f29,f12]) ).
fof(f58,plain,
! [X2,X3] : divide(X2,divide(divide(X2,identity),X3)) = X3,
inference(superposition,[],[f49,f1]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP536-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:32:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43 % (6103)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.45 % (6103)First to succeed.
% 0.19/0.45 % (6095)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.46 % (6112)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.19/0.47 % (6103)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (6103)------------------------------
% 0.19/0.47 % (6103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (6103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (6103)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (6103)Memory used [KB]: 1023
% 0.19/0.47 % (6103)Time elapsed: 0.075 s
% 0.19/0.47 % (6103)Instructions burned: 8 (million)
% 0.19/0.47 % (6103)------------------------------
% 0.19/0.47 % (6103)------------------------------
% 0.19/0.47 % (6092)Success in time 0.117 s
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