TSTP Solution File: GRP192-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP192-1 : 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 : 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 16:14:49 EDT 2022
% Result : Unsatisfiable 1.59s 0.59s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 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; 3 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f394,plain,
$false,
inference(subsumption_resolution,[],[f392,f393]) ).
fof(f393,plain,
! [X0,X1] : X0 = X1,
inference(forward_demodulation,[],[f378,f343]) ).
fof(f343,plain,
! [X6,X7] : multiply(X6,X7) = X7,
inference(forward_demodulation,[],[f328,f322]) ).
fof(f322,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f321,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f321,plain,
! [X0,X1] : multiply(identity,X0) = greatest_lower_bound(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f287,f35]) ).
fof(f35,plain,
! [X0] : identity = greatest_lower_bound(identity,X0),
inference(superposition,[],[f16,f10]) ).
fof(f10,axiom,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).
fof(f16,axiom,
! [X0] : least_upper_bound(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p40a_1) ).
fof(f287,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X1),X0) = greatest_lower_bound(X0,multiply(X1,X0)),
inference(superposition,[],[f15,f1]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).
fof(f328,plain,
! [X6,X7] : multiply(X6,X7) = greatest_lower_bound(X7,multiply(X6,X7)),
inference(superposition,[],[f318,f21]) ).
fof(f21,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f19,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f19,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f318,plain,
! [X0,X1] : greatest_lower_bound(multiply(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f317,f1]) ).
fof(f317,plain,
! [X0,X1] : multiply(identity,X0) = greatest_lower_bound(multiply(X1,X0),X0),
inference(forward_demodulation,[],[f292,f69]) ).
fof(f69,plain,
! [X2] : identity = greatest_lower_bound(X2,identity),
inference(superposition,[],[f35,f4]) ).
fof(f4,axiom,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).
fof(f292,plain,
! [X0,X1] : multiply(greatest_lower_bound(X1,identity),X0) = greatest_lower_bound(multiply(X1,X0),X0),
inference(superposition,[],[f15,f1]) ).
fof(f378,plain,
! [X0,X1] : multiply(inverse(X0),X0) = X1,
inference(backward_demodulation,[],[f200,f343]) ).
fof(f200,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f199,f2]) ).
fof(f199,plain,
! [X1] : multiply(X1,identity) = X1,
inference(forward_demodulation,[],[f190,f192]) ).
fof(f192,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f21,f21]) ).
fof(f190,plain,
! [X1] : multiply(inverse(inverse(X1)),identity) = X1,
inference(superposition,[],[f21,f2]) ).
fof(f392,plain,
b != multiply(b,a),
inference(backward_demodulation,[],[f17,f343]) ).
fof(f17,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p40a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP192-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.05/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:12:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 % (13526)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53 % (13521)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.53 % (13531)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)
% 0.19/0.54 % (13523)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)
% 0.19/0.54 % (13550)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)
% 0.19/0.56 % (13529)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.56 % (13548)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.19/0.56 % (13525)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)
% 0.19/0.56 % (13537)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)
% 0.19/0.56 % (13534)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)
% 0.19/0.58 % (13526)Instruction limit reached!
% 0.19/0.58 % (13526)------------------------------
% 0.19/0.58 % (13526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.58 % (13527)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)
% 1.59/0.58 % (13526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.58 % (13526)Termination reason: Unknown
% 1.59/0.58 % (13526)Termination phase: Saturation
% 1.59/0.58
% 1.59/0.58 % (13526)Memory used [KB]: 6012
% 1.59/0.58 % (13526)Time elapsed: 0.151 s
% 1.59/0.58 % (13526)Instructions burned: 21 (million)
% 1.59/0.58 % (13526)------------------------------
% 1.59/0.58 % (13526)------------------------------
% 1.59/0.59 % (13532)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)
% 1.59/0.59 % (13550)First to succeed.
% 1.59/0.59 % (13527)Instruction limit reached!
% 1.59/0.59 % (13527)------------------------------
% 1.59/0.59 % (13527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (13527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (13527)Termination reason: Unknown
% 1.59/0.59 % (13527)Termination phase: Saturation
% 1.59/0.59
% 1.59/0.59 % (13527)Memory used [KB]: 5628
% 1.59/0.59 % (13527)Time elapsed: 0.172 s
% 1.59/0.59 % (13527)Instructions burned: 8 (million)
% 1.59/0.59 % (13527)------------------------------
% 1.59/0.59 % (13527)------------------------------
% 1.59/0.59 % (13530)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)
% 1.59/0.59 % (13537)Also succeeded, but the first one will report.
% 1.59/0.59 % (13550)Refutation found. Thanks to Tanya!
% 1.59/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.59 % (13550)------------------------------
% 1.59/0.59 % (13550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.59 % (13550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.59 % (13550)Termination reason: Refutation
% 1.59/0.59
% 1.59/0.59 % (13550)Memory used [KB]: 5756
% 1.59/0.59 % (13550)Time elapsed: 0.159 s
% 1.59/0.59 % (13550)Instructions burned: 19 (million)
% 1.59/0.59 % (13550)------------------------------
% 1.59/0.59 % (13550)------------------------------
% 1.59/0.59 % (13520)Success in time 0.244 s
%------------------------------------------------------------------------------