TSTP Solution File: GRP001-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP001-2 : 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_sat --cores 0 -t %d %s
% Computer : n012.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 16:18:51 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,plain,
$false,
inference(trivial_inequality_removal,[],[f149]) ).
fof(f149,plain,
c != c,
inference(superposition,[],[f10,f145]) ).
fof(f145,plain,
c = sF0,
inference(forward_demodulation,[],[f141,f40]) ).
fof(f40,plain,
! [X9] : multiply(inverse(X9),identity) = X9,
inference(superposition,[],[f32,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f32,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f17,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f17,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X0,X1)),
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
! [X0] : identity = multiply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',squareness) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f141,plain,
multiply(inverse(c),identity) = sF0,
inference(superposition,[],[f33,f135]) ).
fof(f135,plain,
identity = multiply(c,sF0),
inference(forward_demodulation,[],[f119,f6]) ).
fof(f119,plain,
multiply(c,sF0) = multiply(a,a),
inference(superposition,[],[f23,f42]) ).
fof(f42,plain,
a = multiply(b,sF0),
inference(superposition,[],[f32,f9]) ).
fof(f9,plain,
multiply(b,a) = sF0,
introduced(function_definition,[]) ).
fof(f23,plain,
! [X14] : multiply(c,X14) = multiply(a,multiply(b,X14)),
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f33,plain,
! [X12,X13] : multiply(inverse(X12),multiply(X12,X13)) = X13,
inference(forward_demodulation,[],[f22,f1]) ).
fof(f22,plain,
! [X12,X13] : multiply(inverse(X12),multiply(X12,X13)) = multiply(identity,X13),
inference(superposition,[],[f3,f2]) ).
fof(f10,plain,
c != sF0,
inference(definition_folding,[],[f8,f9]) ).
fof(f8,axiom,
c != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:05:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (19945)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)
% 0.18/0.49 % (19961)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (19952)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (19958)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)
% 0.18/0.50 % (19963)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.50 % (19945)First to succeed.
% 0.18/0.50 % (19945)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (19945)------------------------------
% 0.18/0.50 % (19945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (19945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (19945)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (19945)Memory used [KB]: 5500
% 0.18/0.50 % (19945)Time elapsed: 0.110 s
% 0.18/0.50 % (19945)Instructions burned: 4 (million)
% 0.18/0.50 % (19945)------------------------------
% 0.18/0.50 % (19945)------------------------------
% 0.18/0.50 % (19939)Success in time 0.162 s
%------------------------------------------------------------------------------