TSTP Solution File: GRP586-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP586-1 : 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 : n023.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 16:16:36 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 3 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 : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(trivial_inequality_removal,[],[f280]) ).
fof(f280,plain,
a2 != a2,
inference(backward_demodulation,[],[f275,f274]) ).
fof(f274,plain,
! [X10] : inverse(inverse(X10)) = X10,
inference(backward_demodulation,[],[f232,f269]) ).
fof(f269,plain,
! [X12,X13] : inverse(X12) = double_divide(X12,inverse(double_divide(X13,inverse(X13)))),
inference(superposition,[],[f262,f232]) ).
fof(f262,plain,
! [X17,X15] : double_divide(double_divide(X17,inverse(X15)),inverse(X15)) = X17,
inference(forward_demodulation,[],[f255,f232]) ).
fof(f255,plain,
! [X16,X17,X15] : double_divide(double_divide(double_divide(inverse(X17),inverse(double_divide(X16,inverse(X16)))),inverse(X15)),inverse(X15)) = X17,
inference(superposition,[],[f23,f232]) ).
fof(f23,plain,
! [X10,X8,X9] : double_divide(double_divide(double_divide(inverse(X8),X9),inverse(double_divide(inverse(X10),X9))),inverse(X10)) = X8,
inference(superposition,[],[f11,f11]) ).
fof(f11,plain,
! [X3,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X3),X1))))) = X3,
inference(superposition,[],[f1,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X3))),X2) = double_divide(X0,inverse(double_divide(inverse(X3),X1))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f232,plain,
! [X10,X9] : double_divide(inverse(X10),inverse(double_divide(X9,inverse(X9)))) = X10,
inference(superposition,[],[f173,f210]) ).
fof(f210,plain,
! [X19,X20] : double_divide(double_divide(X19,inverse(X19)),inverse(X20)) = X20,
inference(forward_demodulation,[],[f209,f173]) ).
fof(f209,plain,
! [X18,X19,X20] : double_divide(double_divide(X19,inverse(double_divide(inverse(double_divide(X18,inverse(X19))),inverse(X18)))),inverse(X20)) = X20,
inference(forward_demodulation,[],[f204,f172]) ).
fof(f172,plain,
! [X3,X0,X1] : double_divide(inverse(X3),inverse(double_divide(X0,X1))) = double_divide(X0,inverse(double_divide(inverse(X3),X1))),
inference(backward_demodulation,[],[f6,f160]) ).
fof(f160,plain,
! [X2,X3,X4] : double_divide(inverse(double_divide(double_divide(X2,X3),inverse(X4))),X3) = double_divide(inverse(X4),inverse(X2)),
inference(backward_demodulation,[],[f7,f146]) ).
fof(f146,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X3),inverse(X2)) = double_divide(X0,inverse(double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))))),
inference(backward_demodulation,[],[f63,f141]) ).
fof(f141,plain,
! [X34,X35,X33] : double_divide(inverse(X34),inverse(X33)) = double_divide(double_divide(double_divide(inverse(X34),X35),X35),inverse(X33)),
inference(forward_demodulation,[],[f132,f101]) ).
fof(f101,plain,
! [X3,X4,X5] : double_divide(double_divide(inverse(X3),inverse(double_divide(double_divide(inverse(X3),X4),X4))),inverse(X5)) = X5,
inference(superposition,[],[f87,f1]) ).
fof(f87,plain,
! [X24,X25,X23] : double_divide(inverse(X23),inverse(double_divide(inverse(X25),inverse(double_divide(double_divide(inverse(X23),X24),X24))))) = X25,
inference(forward_demodulation,[],[f78,f47]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : double_divide(X0,inverse(double_divide(inverse(X2),X1))) = double_divide(double_divide(double_divide(inverse(X2),X3),X3),inverse(double_divide(X0,X1))),
inference(superposition,[],[f1,f34]) ).
fof(f34,plain,
! [X2,X0,X1] : double_divide(X2,inverse(double_divide(double_divide(double_divide(inverse(X0),X1),X1),inverse(X2)))) = X0,
inference(superposition,[],[f23,f1]) ).
fof(f78,plain,
! [X26,X24,X25,X23] : double_divide(double_divide(double_divide(inverse(X25),X26),X26),inverse(double_divide(inverse(X23),inverse(double_divide(double_divide(inverse(X23),X24),X24))))) = X25,
inference(superposition,[],[f34,f47]) ).
fof(f132,plain,
! [X31,X34,X35,X32,X33] : double_divide(double_divide(inverse(X31),inverse(double_divide(double_divide(inverse(X31),X32),X32))),inverse(double_divide(inverse(X34),inverse(X33)))) = double_divide(double_divide(double_divide(inverse(X34),X35),X35),inverse(X33)),
inference(superposition,[],[f47,f101]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(double_divide(inverse(X3),X4),X4),inverse(X2)) = double_divide(X0,inverse(double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))))),
inference(superposition,[],[f47,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(double_divide(X2,X3),inverse(X4))),X3) = double_divide(X0,inverse(double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))))),
inference(superposition,[],[f6,f1]) ).
fof(f204,plain,
! [X18,X19,X20] : double_divide(double_divide(inverse(double_divide(X18,inverse(X19))),inverse(double_divide(X19,inverse(X18)))),inverse(X20)) = X20,
inference(superposition,[],[f101,f173]) ).
fof(f173,plain,
! [X21,X19] : double_divide(inverse(double_divide(X19,inverse(X21))),inverse(X19)) = X21,
inference(backward_demodulation,[],[f145,f165]) ).
fof(f165,plain,
! [X2,X3,X0] : double_divide(X0,inverse(double_divide(inverse(X3),inverse(double_divide(inverse(X2),inverse(X0)))))) = double_divide(inverse(X3),inverse(X2)),
inference(backward_demodulation,[],[f146,f160]) ).
fof(f145,plain,
! [X21,X18,X19] : double_divide(X18,inverse(double_divide(inverse(double_divide(X19,inverse(X21))),inverse(double_divide(inverse(X19),inverse(X18)))))) = X21,
inference(backward_demodulation,[],[f51,f141]) ).
fof(f51,plain,
! [X21,X18,X19,X20] : double_divide(X18,inverse(double_divide(inverse(double_divide(X19,inverse(X21))),inverse(double_divide(double_divide(double_divide(inverse(X19),X20),X20),inverse(X18)))))) = X21,
inference(superposition,[],[f1,f34]) ).
fof(f275,plain,
a2 != inverse(inverse(a2)),
inference(backward_demodulation,[],[f4,f269]) ).
fof(f4,plain,
a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% 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
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:54:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (3689)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)
% 0.20/0.52 % (3689)Instruction limit reached!
% 0.20/0.52 % (3689)------------------------------
% 0.20/0.52 % (3689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (3689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (3689)Termination reason: Unknown
% 0.20/0.52 % (3689)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (3689)Memory used [KB]: 5628
% 0.20/0.52 % (3689)Time elapsed: 0.120 s
% 0.20/0.52 % (3689)Instructions burned: 7 (million)
% 0.20/0.52 % (3689)------------------------------
% 0.20/0.52 % (3689)------------------------------
% 0.20/0.53 % (3686)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)
% 0.20/0.53 % (3711)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)
% 0.20/0.53 % (3705)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)
% 0.20/0.53 % (3688)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)
% 0.20/0.53 % (3703)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.20/0.55 % (3686)Instruction limit reached!
% 0.20/0.55 % (3686)------------------------------
% 0.20/0.55 % (3686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3686)Termination reason: Unknown
% 0.20/0.55 % (3686)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (3686)Memory used [KB]: 5500
% 0.20/0.55 % (3686)Time elapsed: 0.125 s
% 0.20/0.55 % (3686)Instructions burned: 6 (million)
% 0.20/0.55 % (3686)------------------------------
% 0.20/0.55 % (3686)------------------------------
% 0.20/0.55 % (3697)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)
% 0.20/0.55 % (3696)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)
% 0.20/0.55 % (3701)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)
% 0.20/0.55 % (3694)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)
% 0.20/0.57 % (3688)Instruction limit reached!
% 0.20/0.57 % (3688)------------------------------
% 0.20/0.57 % (3688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (3688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (3688)Termination reason: Unknown
% 0.20/0.57 % (3688)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (3688)Memory used [KB]: 5756
% 0.20/0.57 % (3688)Time elapsed: 0.150 s
% 0.20/0.57 % (3688)Instructions burned: 20 (million)
% 0.20/0.57 % (3688)------------------------------
% 0.20/0.57 % (3688)------------------------------
% 0.20/0.58 % (3693)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)
% 0.20/0.58 % (3703)First to succeed.
% 0.20/0.58 % (3687)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)
% 0.20/0.58 % (3685)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)
% 0.20/0.59 % (3683)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.20/0.59 % (3706)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)
% 0.20/0.59 % (3691)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)
% 0.20/0.60 % (3692)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)
% 0.20/0.60 % (3702)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)
% 0.20/0.60 % (3707)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)
% 0.20/0.60 % (3703)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (3703)------------------------------
% 0.20/0.60 % (3703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (3703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (3703)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (3703)Memory used [KB]: 5884
% 0.20/0.60 % (3703)Time elapsed: 0.187 s
% 0.20/0.60 % (3703)Instructions burned: 31 (million)
% 0.20/0.60 % (3703)------------------------------
% 0.20/0.60 % (3703)------------------------------
% 0.20/0.60 % (3682)Success in time 0.248 s
%------------------------------------------------------------------------------