TSTP Solution File: BOO003-4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : n027.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 15:49:48 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f266,plain,
$false,
inference(subsumption_resolution,[],[f260,f11]) ).
fof(f11,plain,
a != sF0,
inference(definition_folding,[],[f9,f10]) ).
fof(f10,plain,
multiply(a,a) = sF0,
introduced(function_definition,[]) ).
fof(f9,axiom,
a != multiply(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_times_a_is_a) ).
fof(f260,plain,
a = sF0,
inference(superposition,[],[f229,f10]) ).
fof(f229,plain,
! [X1] : multiply(X1,X1) = X1,
inference(forward_demodulation,[],[f228,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).
fof(f228,plain,
! [X1] : multiply(X1,X1) = add(X1,additive_identity),
inference(forward_demodulation,[],[f223,f226]) ).
fof(f226,plain,
! [X13] : additive_identity = multiply(additive_identity,X13),
inference(superposition,[],[f15,f202]) ).
fof(f202,plain,
! [X10,X9] : add(X9,multiply(X9,X10)) = X9,
inference(forward_demodulation,[],[f201,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f201,plain,
! [X10,X9] : add(X9,multiply(X9,X10)) = multiply(X9,multiplicative_identity),
inference(forward_demodulation,[],[f175,f77]) ).
fof(f77,plain,
! [X5] : multiplicative_identity = add(multiplicative_identity,X5),
inference(superposition,[],[f1,f64]) ).
fof(f64,plain,
! [X5] : multiplicative_identity = add(X5,multiplicative_identity),
inference(forward_demodulation,[],[f59,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f59,plain,
! [X5] : add(X5,multiplicative_identity) = add(X5,inverse(X5)),
inference(superposition,[],[f51,f27]) ).
fof(f27,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f6,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f51,plain,
! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = add(X2,X3),
inference(forward_demodulation,[],[f42,f6]) ).
fof(f42,plain,
! [X2,X3] : add(X2,multiply(X3,inverse(X2))) = multiply(add(X2,X3),multiplicative_identity),
inference(superposition,[],[f3,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f175,plain,
! [X10,X9] : add(X9,multiply(X9,X10)) = multiply(X9,add(multiplicative_identity,X10)),
inference(superposition,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f15,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f223,plain,
! [X2,X1] : multiply(X1,X1) = add(X1,multiply(additive_identity,multiply(X1,X2))),
inference(superposition,[],[f36,f202]) ).
fof(f36,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = add(X0,multiply(additive_identity,X1)),
inference(superposition,[],[f3,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO003-4 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:18:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (18926)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)
% 0.20/0.49 % (18916)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)
% 0.20/0.50 % (18914)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)
% 0.20/0.50 % (18923)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (18918)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (18923)First to succeed.
% 0.20/0.52 % (18911)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (18926)Also succeeded, but the first one will report.
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (18923)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (18923)------------------------------
% 0.20/0.52 % (18923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18923)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (18923)Memory used [KB]: 5628
% 0.20/0.52 % (18923)Time elapsed: 0.115 s
% 0.20/0.52 % (18923)Instructions burned: 13 (million)
% 0.20/0.52 % (18923)------------------------------
% 0.20/0.52 % (18923)------------------------------
% 0.20/0.52 % (18909)Success in time 0.172 s
%------------------------------------------------------------------------------