TSTP Solution File: GRP118-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n002.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 16:14:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f450,plain,
$false,
inference(trivial_inequality_removal,[],[f435]) ).
fof(f435,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(backward_demodulation,[],[f2,f393]) ).
fof(f393,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[],[f12,f388]) ).
fof(f388,plain,
! [X7] : multiply(identity,X7) = X7,
inference(forward_demodulation,[],[f374,f286]) ).
fof(f286,plain,
! [X4,X5] : multiply(multiply(X4,X5),multiply(X5,X5)) = X4,
inference(forward_demodulation,[],[f270,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(backward_demodulation,[],[f1,f12]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f270,plain,
! [X3,X6,X4,X5] : multiply(X3,multiply(X3,multiply(multiply(multiply(X3,X4),X6),multiply(X6,X6)))) = multiply(multiply(X4,X5),multiply(X5,X5)),
inference(superposition,[],[f149,f23]) ).
fof(f23,plain,
! [X6,X7,X4,X5] : multiply(X4,multiply(X4,multiply(multiply(X5,X7),multiply(X7,X7)))) = multiply(X4,multiply(multiply(multiply(X4,X5),X6),multiply(X6,X6))),
inference(superposition,[],[f18,f18]) ).
fof(f149,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(backward_demodulation,[],[f33,f135]) ).
fof(f135,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f33,f124]) ).
fof(f124,plain,
! [X2] : identity = multiply(X2,multiply(X2,multiply(X2,identity))),
inference(superposition,[],[f33,f65]) ).
fof(f65,plain,
identity = multiply(identity,identity),
inference(forward_demodulation,[],[f63,f18]) ).
fof(f63,plain,
! [X4] : multiply(identity,multiply(identity,multiply(multiply(multiply(identity,identity),X4),multiply(X4,X4)))) = multiply(identity,identity),
inference(superposition,[],[f18,f57]) ).
fof(f57,plain,
multiply(identity,identity) = multiply(identity,multiply(identity,identity)),
inference(superposition,[],[f33,f43]) ).
fof(f43,plain,
identity = multiply(identity,multiply(multiply(identity,identity),identity)),
inference(superposition,[],[f21,f33]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X2,multiply(identity,multiply(X0,X0))))),X0)) = X2,
inference(forward_demodulation,[],[f17,f12]) ).
fof(f17,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(identity,multiply(X0,X0))))),X0)) = X2,
inference(backward_demodulation,[],[f6,f12]) ).
fof(f6,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),multiply(identity,multiply(multiply(identity,X0),multiply(identity,X0))))),X0)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[],[f27,f12]) ).
fof(f27,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(superposition,[],[f18,f12]) ).
fof(f374,plain,
! [X7] : multiply(identity,multiply(multiply(X7,X7),multiply(X7,X7))) = X7,
inference(superposition,[],[f286,f148]) ).
fof(f148,plain,
! [X2] : identity = multiply(X2,multiply(X2,X2)),
inference(backward_demodulation,[],[f124,f135]) ).
fof(f12,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f2,axiom,
multiply(multiply(a,b),c) != multiply(a,multiply(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_order3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP118-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % 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 : n002.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 22:26:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (6725)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)
% 0.19/0.49 % (6716)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)
% 0.19/0.49 % (6724)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 (3000ds/321Mi)
% 0.19/0.50 % (6714)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)
% 0.19/0.50 % (6716)Instruction limit reached!
% 0.19/0.50 % (6716)------------------------------
% 0.19/0.50 % (6716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (6716)Termination reason: Unknown
% 0.19/0.50 % (6716)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (6716)Memory used [KB]: 5628
% 0.19/0.50 % (6716)Time elapsed: 0.105 s
% 0.19/0.50 % (6716)Instructions burned: 7 (million)
% 0.19/0.50 % (6716)------------------------------
% 0.19/0.50 % (6716)------------------------------
% 0.19/0.50 % (6713)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)
% 0.19/0.50 % (6715)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)
% 0.19/0.50 % (6719)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 (3000ds/46Mi)
% 0.19/0.51 % (6710)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/10Mi)
% 0.19/0.51 % (6739)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/381Mi)
% 0.19/0.51 % (6717)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.51 % (6720)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)
% 0.19/0.51 % (6724)Refutation not found, incomplete strategy% (6724)------------------------------
% 0.19/0.51 % (6724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6724)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (6724)Memory used [KB]: 5373
% 0.19/0.51 % (6724)Time elapsed: 0.126 s
% 0.19/0.51 % (6724)Instructions burned: 1 (million)
% 0.19/0.51 % (6724)------------------------------
% 0.19/0.51 % (6724)------------------------------
% 0.19/0.51 % (6738)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 (3000ds/495Mi)
% 0.19/0.51 % (6713)Instruction limit reached!
% 0.19/0.51 % (6713)------------------------------
% 0.19/0.51 % (6713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6713)Termination reason: Unknown
% 0.19/0.51 % (6713)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (6713)Memory used [KB]: 5500
% 0.19/0.51 % (6713)Time elapsed: 0.117 s
% 0.19/0.51 % (6713)Instructions burned: 6 (million)
% 0.19/0.51 % (6713)------------------------------
% 0.19/0.51 % (6713)------------------------------
% 0.19/0.51 % (6727)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/257Mi)
% 0.19/0.51 % (6732)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.51 % (6729)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/103Mi)
% 0.19/0.51 % (6721)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)
% 0.19/0.52 % (6737)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)
% 0.19/0.52 % (6710)Instruction limit reached!
% 0.19/0.52 % (6710)------------------------------
% 0.19/0.52 % (6710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6710)Termination reason: Unknown
% 0.19/0.52 % (6710)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (6710)Memory used [KB]: 5628
% 0.19/0.52 % (6710)Time elapsed: 0.118 s
% 0.19/0.52 % (6710)Instructions burned: 10 (million)
% 0.19/0.52 % (6710)------------------------------
% 0.19/0.52 % (6710)------------------------------
% 0.19/0.52 % (6723)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)
% 0.19/0.52 % (6709)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.52 % (6725)First to succeed.
% 0.19/0.52 % (6718)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)
% 0.19/0.52 % (6722)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 (3000ds/292Mi)
% 0.19/0.52 % (6712)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)
% 0.19/0.53 % (6725)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (6725)------------------------------
% 0.19/0.53 % (6725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (6725)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (6725)Memory used [KB]: 5884
% 0.19/0.53 % (6725)Time elapsed: 0.100 s
% 0.19/0.53 % (6725)Instructions burned: 26 (million)
% 0.19/0.53 % (6725)------------------------------
% 0.19/0.53 % (6725)------------------------------
% 0.19/0.53 % (6707)Success in time 0.18 s
%------------------------------------------------------------------------------