TSTP Solution File: GRP445-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP445-1 : 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 : n011.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 16:15:52 EDT 2022
% Result : Unsatisfiable 1.67s 0.56s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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; 2 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f217,plain,
$false,
inference(subsumption_resolution,[],[f194,f176]) ).
fof(f176,plain,
! [X2,X0] : divide(X0,X0) = divide(X2,X2),
inference(forward_demodulation,[],[f174,f79]) ).
fof(f79,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f64,f41]) ).
fof(f41,plain,
! [X6,X7,X5] : divide(X7,divide(X6,divide(inverse(X7),inverse(divide(X5,inverse(X6)))))) = X5,
inference(forward_demodulation,[],[f34,f28]) ).
fof(f28,plain,
! [X0,X1] : divide(inverse(inverse(X0)),inverse(X1)) = divide(X0,inverse(X1)),
inference(superposition,[],[f18,f18]) ).
fof(f18,plain,
! [X0,X1] : divide(X1,inverse(divide(inverse(X1),inverse(X0)))) = X0,
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f7,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f34,plain,
! [X6,X7,X5] : divide(X7,divide(X6,divide(inverse(X7),inverse(divide(inverse(inverse(X5)),inverse(X6)))))) = X5,
inference(superposition,[],[f7,f18]) ).
fof(f64,plain,
! [X2,X0,X1] : divide(X2,divide(X0,divide(inverse(X2),inverse(divide(inverse(inverse(X1)),inverse(X0)))))) = X1,
inference(superposition,[],[f15,f3]) ).
fof(f15,plain,
! [X3,X6,X4,X5] : divide(X6,divide(X4,divide(inverse(X6),divide(divide(inverse(X4),X5),divide(inverse(inverse(X3)),X5))))) = X3,
inference(superposition,[],[f7,f7]) ).
fof(f174,plain,
! [X2,X0] : divide(X0,X0) = divide(X2,inverse(inverse(X2))),
inference(backward_demodulation,[],[f166,f152]) ).
fof(f152,plain,
! [X0,X1] : divide(X0,divide(X1,inverse(X0))) = inverse(X1),
inference(superposition,[],[f86,f65]) ).
fof(f65,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f15,f7]) ).
fof(f86,plain,
! [X3,X6,X4,X5] : divide(X6,divide(X4,divide(inverse(X6),divide(divide(inverse(X4),X5),divide(X3,X5))))) = X3,
inference(backward_demodulation,[],[f15,f79]) ).
fof(f166,plain,
! [X2,X3,X0] : divide(X0,X0) = divide(X2,divide(X3,divide(inverse(X2),inverse(X3)))),
inference(forward_demodulation,[],[f146,f93]) ).
fof(f93,plain,
! [X0,X1] : inverse(X0) = divide(divide(inverse(X0),X1),inverse(X1)),
inference(backward_demodulation,[],[f60,f86]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4] : divide(divide(inverse(X0),X1),inverse(X1)) = divide(X2,divide(X3,divide(inverse(X2),divide(divide(inverse(X3),X4),divide(inverse(X0),X4))))),
inference(superposition,[],[f15,f23]) ).
fof(f23,plain,
! [X4,X5] : inverse(divide(divide(inverse(X4),X5),inverse(X5))) = X4,
inference(forward_demodulation,[],[f19,f10]) ).
fof(f10,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f19,plain,
! [X3,X4,X5] : inverse(divide(divide(inverse(X4),X5),divide(inverse(divide(X3,X3)),X5))) = X4,
inference(superposition,[],[f7,f3]) ).
fof(f146,plain,
! [X2,X3,X0,X1] : divide(X0,X0) = divide(X2,divide(X3,divide(inverse(X2),divide(divide(inverse(X3),X1),inverse(X1))))),
inference(superposition,[],[f86,f3]) ).
fof(f194,plain,
! [X0] : divide(X0,X0) != divide(inverse(b1),inverse(b1)),
inference(superposition,[],[f9,f176]) ).
fof(f9,plain,
divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(forward_demodulation,[],[f8,f5]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[],[f2,f3]) ).
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(f8,plain,
multiply(inverse(a1),a1) != divide(inverse(b1),inverse(b1)),
inference(forward_demodulation,[],[f4,f5]) ).
fof(f4,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP445-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 22:26:40 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.15/0.48 % (5199)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)
% 0.15/0.48 % (5198)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)
% 0.15/0.48 % (5189)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)
% 0.15/0.48 % (5190)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.15/0.49 % (5191)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)
% 0.15/0.49 % (5197)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)
% 0.15/0.49 % (5205)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)
% 0.15/0.49 % (5189)Instruction limit reached!
% 0.15/0.49 % (5189)------------------------------
% 0.15/0.49 % (5189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (5206)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)
% 0.15/0.51 % (5207)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/248Mi)
% 0.15/0.52 % (5189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (5189)Termination reason: Unknown
% 0.15/0.52 % (5189)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (5189)Memory used [KB]: 5500
% 0.15/0.52 % (5189)Time elapsed: 0.104 s
% 0.15/0.52 % (5189)Instructions burned: 8 (million)
% 0.15/0.52 % (5189)------------------------------
% 0.15/0.52 % (5189)------------------------------
% 1.45/0.53 % (5204)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 1.45/0.53 % (5201)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)
% 1.45/0.53 % (5186)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)
% 1.45/0.53 % (5187)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)
% 1.45/0.53 % (5185)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)
% 1.45/0.53 % (5188)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)
% 1.45/0.53 % (5186)Instruction limit reached!
% 1.45/0.53 % (5186)------------------------------
% 1.45/0.53 % (5186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.53 % (5186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.53 % (5186)Termination reason: Unknown
% 1.45/0.53 % (5186)Termination phase: Saturation
% 1.45/0.53
% 1.45/0.53 % (5186)Memory used [KB]: 5500
% 1.45/0.53 % (5186)Time elapsed: 0.143 s
% 1.45/0.53 % (5186)Instructions burned: 6 (million)
% 1.45/0.53 % (5186)------------------------------
% 1.45/0.53 % (5186)------------------------------
% 1.45/0.54 % (5194)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)
% 1.45/0.54 % (5190)Instruction limit reached!
% 1.45/0.54 % (5190)------------------------------
% 1.45/0.54 % (5190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (5190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (5190)Termination reason: Unknown
% 1.45/0.54 % (5190)Termination phase: Saturation
% 1.45/0.54
% 1.45/0.54 % (5190)Memory used [KB]: 6012
% 1.45/0.54 % (5190)Time elapsed: 0.148 s
% 1.45/0.54 % (5190)Instructions burned: 33 (million)
% 1.45/0.54 % (5190)------------------------------
% 1.45/0.54 % (5190)------------------------------
% 1.45/0.54 % (5209)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)
% 1.45/0.54 % (5195)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)
% 1.45/0.54 % (5212)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)
% 1.45/0.54 % (5202)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)
% 1.45/0.55 % (5191)Instruction limit reached!
% 1.45/0.55 % (5191)------------------------------
% 1.45/0.55 % (5191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.55 % (5193)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)
% 1.67/0.55 % (5211)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)
% 1.67/0.55 % (5196)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)
% 1.67/0.55 % (5203)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 1.67/0.55 % (5191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.55 % (5191)Termination reason: Unknown
% 1.67/0.55 % (5191)Termination phase: Saturation
% 1.67/0.55
% 1.67/0.55 % (5191)Memory used [KB]: 10746
% 1.67/0.55 % (5191)Time elapsed: 0.157 s
% 1.67/0.55 % (5191)Instructions burned: 38 (million)
% 1.67/0.55 % (5191)------------------------------
% 1.67/0.55 % (5191)------------------------------
% 1.67/0.55 % (5210)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)
% 1.67/0.56 % (5187)First to succeed.
% 1.67/0.56 % (5187)Refutation found. Thanks to Tanya!
% 1.67/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.56 % (5187)------------------------------
% 1.67/0.56 % (5187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.56 % (5187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.56 % (5187)Termination reason: Refutation
% 1.67/0.56
% 1.67/0.56 % (5187)Memory used [KB]: 5628
% 1.67/0.56 % (5187)Time elapsed: 0.174 s
% 1.67/0.56 % (5187)Instructions burned: 14 (million)
% 1.67/0.56 % (5187)------------------------------
% 1.67/0.56 % (5187)------------------------------
% 1.67/0.56 % (5182)Success in time 0.232 s
%------------------------------------------------------------------------------