TSTP Solution File: GRP522-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n022.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 16:16:26 EDT 2022
% Result : Unsatisfiable 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(trivial_inequality_removal,[],[f308]) ).
fof(f308,plain,
a2 != a2,
inference(backward_demodulation,[],[f20,f269]) ).
fof(f269,plain,
! [X17] : inverse(inverse(X17)) = X17,
inference(backward_demodulation,[],[f174,f254]) ).
fof(f254,plain,
! [X10,X9] : multiply(X9,inverse(multiply(X10,inverse(X10)))) = X9,
inference(superposition,[],[f241,f133]) ).
fof(f133,plain,
! [X0,X1] : divide(X0,X0) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f121,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f121,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
inference(superposition,[],[f79,f9]) ).
fof(f9,plain,
! [X2,X3] : multiply(divide(X2,X2),X3) = inverse(inverse(X3)),
inference(superposition,[],[f3,f5]) ).
fof(f79,plain,
! [X8,X9] : inverse(divide(X8,multiply(X9,X8))) = X9,
inference(forward_demodulation,[],[f78,f5]) ).
fof(f78,plain,
! [X8,X9] : inverse(divide(X8,divide(X9,inverse(X8)))) = X9,
inference(forward_demodulation,[],[f52,f3]) ).
fof(f52,plain,
! [X8,X9,X7] : divide(divide(X7,X7),divide(X8,divide(X9,inverse(X8)))) = X9,
inference(superposition,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f241,plain,
! [X2,X1] : multiply(X2,divide(X1,X2)) = X1,
inference(backward_demodulation,[],[f118,f219]) ).
fof(f219,plain,
! [X26,X24,X25] : divide(X24,divide(X25,divide(X26,X26))) = divide(X24,X25),
inference(superposition,[],[f1,f168]) ).
fof(f168,plain,
! [X2,X1] : divide(X2,X2) = divide(X1,X1),
inference(superposition,[],[f133,f133]) ).
fof(f118,plain,
! [X2,X0,X1] : multiply(X2,divide(X1,divide(X2,divide(X0,X0)))) = X1,
inference(forward_demodulation,[],[f63,f5]) ).
fof(f63,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(X1,divide(X2,divide(X0,X0))))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f174,plain,
! [X16,X17] : inverse(inverse(multiply(X17,inverse(multiply(X16,inverse(X16)))))) = X17,
inference(superposition,[],[f124,f133]) ).
fof(f124,plain,
! [X0,X1] : inverse(inverse(multiply(X1,divide(X0,X0)))) = X1,
inference(superposition,[],[f79,f3]) ).
fof(f20,plain,
a2 != inverse(inverse(a2)),
inference(backward_demodulation,[],[f4,f19]) ).
fof(f19,plain,
! [X4,X5] : multiply(multiply(inverse(X4),X4),X5) = inverse(inverse(X5)),
inference(superposition,[],[f5,f8]) ).
fof(f8,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f5]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP522-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.31 % Computer : n022.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Mon Aug 29 22:32:11 EDT 2022
% 0.16/0.31 % CPUTime :
% 0.16/0.42 % (9647)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 (3000ds/7Mi)
% 0.16/0.44 % (9647)Instruction limit reached!
% 0.16/0.44 % (9647)------------------------------
% 0.16/0.44 % (9647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.45 % (9668)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 (3000ds/267Mi)
% 0.16/0.45 % (9660)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 (3000ds/439Mi)
% 0.16/0.46 % (9647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.46 % (9647)Termination reason: Unknown
% 0.16/0.46 % (9647)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (9647)Memory used [KB]: 5500
% 0.16/0.46 % (9647)Time elapsed: 0.094 s
% 0.16/0.46 % (9647)Instructions burned: 7 (million)
% 0.16/0.46 % (9647)------------------------------
% 0.16/0.46 % (9647)------------------------------
% 0.16/0.47 % (9655)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 (3000ds/353Mi)
% 0.16/0.47 % (9644)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/6Mi)
% 0.16/0.48 % (9662)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.16/0.48 % (9652)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 (3000ds/37Mi)
% 0.16/0.48 % (9644)Instruction limit reached!
% 0.16/0.48 % (9644)------------------------------
% 0.16/0.48 % (9644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (9641)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.16/0.49 % (9665)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.16/0.49 % (9644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (9644)Termination reason: Unknown
% 0.16/0.49 % (9644)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (9644)Memory used [KB]: 5500
% 0.16/0.49 % (9644)Time elapsed: 0.103 s
% 0.16/0.49 % (9644)Instructions burned: 7 (million)
% 0.16/0.49 % (9644)------------------------------
% 0.16/0.49 % (9644)------------------------------
% 0.16/0.49 % (9646)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.16/0.50 % (9649)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 (3000ds/37Mi)
% 0.16/0.50 % (9662)First to succeed.
% 0.16/0.50 % (9643)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 (3000ds/37Mi)
% 0.16/0.50 % (9657)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 (3000ds/212Mi)
% 0.16/0.50 % (9645)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 (3000ds/48Mi)
% 0.16/0.50 % (9662)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (9662)------------------------------
% 0.16/0.50 % (9662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (9662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (9662)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (9662)Memory used [KB]: 5628
% 0.16/0.50 % (9662)Time elapsed: 0.125 s
% 0.16/0.50 % (9662)Instructions burned: 14 (million)
% 0.16/0.50 % (9662)------------------------------
% 0.16/0.50 % (9662)------------------------------
% 0.16/0.50 % (9639)Success in time 0.182 s
%------------------------------------------------------------------------------