TSTP Solution File: BOO009-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO009-4 : 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_uns --cores 0 -t %d %s
% Computer : n026.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 15:49:22 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% 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 : 4 ( 2 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f27,f123]) ).
fof(f123,plain,
! [X2,X3] : add(X2,multiply(additive_identity,X3)) = X2,
inference(backward_demodulation,[],[f113,f122]) ).
fof(f122,plain,
! [X6,X7] : add(X6,multiply(X6,X7)) = X6,
inference(forward_demodulation,[],[f121,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f121,plain,
! [X6,X7] : multiply(X6,multiplicative_identity) = add(X6,multiply(X6,X7)),
inference(backward_demodulation,[],[f57,f118]) ).
fof(f118,plain,
! [X4] : multiplicative_identity = add(multiplicative_identity,X4),
inference(superposition,[],[f1,f103]) ).
fof(f103,plain,
! [X5] : multiplicative_identity = add(X5,multiplicative_identity),
inference(forward_demodulation,[],[f88,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f88,plain,
! [X5] : add(X5,multiplicative_identity) = add(X5,inverse(X5)),
inference(superposition,[],[f45,f37]) ).
fof(f37,plain,
! [X1] : multiply(multiplicative_identity,X1) = X1,
inference(superposition,[],[f6,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f45,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f42,f6]) ).
fof(f42,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),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/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f57,plain,
! [X6,X7] : add(X6,multiply(X6,X7)) = multiply(X6,add(multiplicative_identity,X7)),
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/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f113,plain,
! [X2,X3] : add(X2,multiply(X2,X3)) = add(X2,multiply(additive_identity,X3)),
inference(forward_demodulation,[],[f110,f16]) ).
fof(f16,plain,
! [X6,X7] : add(X6,multiply(additive_identity,X7)) = multiply(X6,add(X6,X7)),
inference(superposition,[],[f3,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f110,plain,
! [X2,X3] : multiply(X2,add(X2,X3)) = add(X2,multiply(X2,X3)),
inference(superposition,[],[f3,f99]) ).
fof(f99,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f85,f5]) ).
fof(f85,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(superposition,[],[f45,f8]) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f27,plain,
a != add(a,multiply(additive_identity,b)),
inference(backward_demodulation,[],[f9,f16]) ).
fof(f9,axiom,
a != multiply(a,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_operation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : BOO009-4 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 16:19:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (22773)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 (2999ds/321Mi)
% 0.20/0.47 % (22781)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.48 % (22765)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (22765)Instruction limit reached!
% 0.20/0.49 % (22765)------------------------------
% 0.20/0.49 % (22765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (22765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (22765)Termination reason: Unknown
% 0.20/0.49 % (22765)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (22765)Memory used [KB]: 5628
% 0.20/0.49 % (22765)Time elapsed: 0.061 s
% 0.20/0.49 % (22765)Instructions burned: 7 (million)
% 0.20/0.49 % (22765)------------------------------
% 0.20/0.49 % (22765)------------------------------
% 0.20/0.54 % (22777)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (22777)First to succeed.
% 0.20/0.55 % (22785)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.55 % (22769)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56 % (22777)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (22777)------------------------------
% 0.20/0.56 % (22777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22777)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (22777)Memory used [KB]: 10106
% 0.20/0.56 % (22777)Time elapsed: 0.122 s
% 0.20/0.56 % (22777)Instructions burned: 9 (million)
% 0.20/0.56 % (22777)------------------------------
% 0.20/0.56 % (22777)------------------------------
% 0.20/0.56 % (22758)Success in time 0.196 s
%------------------------------------------------------------------------------