TSTP Solution File: BOO013-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO013-2 : 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_uns --cores 0 -t %d %s
% Computer : n028.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 15:49:24 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f228,plain,
$false,
inference(subsumption_resolution,[],[f227,f19]) ).
fof(f19,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_a) ).
fof(f227,plain,
b = c,
inference(forward_demodulation,[],[f226,f184]) ).
fof(f184,plain,
b = add(b,c),
inference(superposition,[],[f179,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f179,plain,
b = add(c,b),
inference(forward_demodulation,[],[f161,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
fof(f161,plain,
add(c,b) = add(additive_identity,b),
inference(superposition,[],[f79,f18]) ).
fof(f18,axiom,
additive_identity = multiply(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_a_additive_identity) ).
fof(f79,plain,
! [X12] : add(X12,b) = add(multiply(a,X12),b),
inference(forward_demodulation,[],[f59,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f59,plain,
! [X12] : add(multiply(a,X12),b) = multiply(multiplicative_identity,add(X12,b)),
inference(superposition,[],[f3,f15]) ).
fof(f15,axiom,
multiplicative_identity = add(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_multiplicative_identity) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f226,plain,
c = add(b,c),
inference(forward_demodulation,[],[f208,f14]) ).
fof(f208,plain,
add(b,c) = add(additive_identity,c),
inference(superposition,[],[f80,f17]) ).
fof(f17,axiom,
additive_identity = multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_a_additive_identity) ).
fof(f80,plain,
! [X13] : add(multiply(a,X13),c) = add(X13,c),
inference(forward_demodulation,[],[f60,f12]) ).
fof(f60,plain,
! [X13] : multiply(multiplicative_identity,add(X13,c)) = add(multiply(a,X13),c),
inference(superposition,[],[f3,f16]) ).
fof(f16,axiom,
multiplicative_identity = add(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_and_multiplicative_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO013-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n028.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 16:15:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (9816)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.18/0.49 % (9826)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)
% 0.18/0.49 % (9823)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.49 % (9834)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)
% 0.18/0.49 % (9828)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.18/0.50 % (9816)First to succeed.
% 0.18/0.50 % (9827)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50 % (9829)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.18/0.50 % (9825)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.50 % (9831)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.18/0.50 % (9842)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)
% 0.18/0.51 % (9816)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (9816)------------------------------
% 0.18/0.51 % (9816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9816)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (9816)Memory used [KB]: 5628
% 0.18/0.51 % (9816)Time elapsed: 0.108 s
% 0.18/0.51 % (9816)Instructions burned: 9 (million)
% 0.18/0.51 % (9816)------------------------------
% 0.18/0.51 % (9816)------------------------------
% 0.18/0.51 % (9815)Success in time 0.17 s
%------------------------------------------------------------------------------