TSTP Solution File: GRP186-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP186-4 : 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_sat --cores 0 -t %d %s
% Computer : n010.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 16:20:49 EDT 2022
% Result : Unsatisfiable 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,plain,
$false,
inference(trivial_inequality_removal,[],[f111]) ).
fof(f111,plain,
least_upper_bound(identity,multiply(a,b)) != least_upper_bound(identity,multiply(a,b)),
inference(backward_demodulation,[],[f21,f110]) ).
fof(f110,plain,
! [X8,X7] : multiply(X7,least_upper_bound(X8,inverse(X7))) = least_upper_bound(identity,multiply(X7,X8)),
inference(forward_demodulation,[],[f91,f5]) ).
fof(f5,axiom,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).
fof(f91,plain,
! [X8,X7] : multiply(X7,least_upper_bound(X8,inverse(X7))) = least_upper_bound(multiply(X7,X8),identity),
inference(superposition,[],[f12,f24]) ).
fof(f24,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f17]) ).
fof(f17,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23x_2) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f12,axiom,
! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub1) ).
fof(f21,plain,
multiply(a,least_upper_bound(b,inverse(a))) != least_upper_bound(identity,multiply(a,b)),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f20,plain,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(b,inverse(a))),
inference(backward_demodulation,[],[f19,f5]) ).
fof(f19,axiom,
least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p23x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP186-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n010.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 22:33:29 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.46 % (26855)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.46 % (26844)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.46 % (26847)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.46 % (26846)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (26863)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.15/0.47 % (26862)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.47 % (26854)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.48 % (26847)Instruction limit reached!
% 0.15/0.48 % (26847)------------------------------
% 0.15/0.48 % (26847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (26847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (26847)Termination reason: Unknown
% 0.15/0.48 % (26847)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (26847)Memory used [KB]: 5373
% 0.15/0.48 % (26847)Time elapsed: 0.111 s
% 0.15/0.48 % (26847)Instructions burned: 2 (million)
% 0.15/0.48 % (26847)------------------------------
% 0.15/0.48 % (26847)------------------------------
% 0.15/0.48 % (26860)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.48 % (26852)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.48 % (26846)Instruction limit reached!
% 0.15/0.48 % (26846)------------------------------
% 0.15/0.48 % (26846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (26846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (26846)Termination reason: Unknown
% 0.15/0.48 % (26846)Termination phase: Saturation
% 0.15/0.48
% 0.15/0.48 % (26846)Memory used [KB]: 5500
% 0.15/0.48 % (26846)Time elapsed: 0.114 s
% 0.15/0.48 % (26846)Instructions burned: 7 (million)
% 0.15/0.48 % (26846)------------------------------
% 0.15/0.48 % (26846)------------------------------
% 0.15/0.49 % (26862)First to succeed.
% 0.15/0.49 % (26842)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.50 % (26862)Refutation found. Thanks to Tanya!
% 0.15/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.50 % (26862)------------------------------
% 0.15/0.50 % (26862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (26862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (26862)Termination reason: Refutation
% 0.15/0.50
% 0.15/0.50 % (26862)Memory used [KB]: 5500
% 0.15/0.50 % (26862)Time elapsed: 0.132 s
% 0.15/0.50 % (26862)Instructions burned: 7 (million)
% 0.15/0.50 % (26862)------------------------------
% 0.15/0.50 % (26862)------------------------------
% 0.15/0.50 % (26838)Success in time 0.184 s
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