TSTP Solution File: GRP459-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP459-1 : 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 : n001.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 16:15:55 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f379,plain,
$false,
inference(trivial_inequality_removal,[],[f378]) ).
fof(f378,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(backward_demodulation,[],[f104,f359]) ).
fof(f359,plain,
! [X6,X4,X5] : divide(X4,divide(X6,X5)) = divide(divide(X4,divide(identity,X5)),X6),
inference(superposition,[],[f306,f81]) ).
fof(f81,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(backward_demodulation,[],[f8,f73]) ).
fof(f73,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f61,f66]) ).
fof(f66,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f26,f61]) ).
fof(f26,plain,
! [X0] : divide(identity,divide(identity,divide(divide(X0,identity),identity))) = X0,
inference(backward_demodulation,[],[f13,f25]) ).
fof(f25,plain,
! [X2] : divide(identity,divide(identity,divide(X2,identity))) = divide(divide(identity,divide(identity,X2)),identity),
inference(forward_demodulation,[],[f22,f4]) ).
fof(f4,axiom,
! [X0] : divide(X0,X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f22,plain,
! [X2] : divide(identity,divide(identity,divide(X2,divide(identity,identity)))) = divide(divide(identity,divide(identity,X2)),identity),
inference(superposition,[],[f13,f8]) ).
fof(f13,plain,
! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
inference(superposition,[],[f8,f4]) ).
fof(f61,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f46,f4]) ).
fof(f46,plain,
! [X0] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[],[f10,f4]) ).
fof(f10,plain,
! [X4,X5] : divide(divide(identity,divide(X4,divide(X5,identity))),divide(identity,X4)) = X5,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(backward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f8,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f306,plain,
! [X18,X19,X17] : divide(divide(X17,X18),divide(X19,X18)) = divide(X17,X19),
inference(forward_demodulation,[],[f305,f84]) ).
fof(f84,plain,
! [X2,X1] : divide(divide(X2,X1),divide(identity,X1)) = X2,
inference(backward_demodulation,[],[f76,f73]) ).
fof(f76,plain,
! [X2,X1] : divide(divide(identity,divide(identity,divide(X2,X1))),divide(identity,X1)) = X2,
inference(forward_demodulation,[],[f68,f66]) ).
fof(f68,plain,
! [X2,X1] : divide(divide(identity,divide(identity,divide(X2,X1))),divide(identity,divide(X1,identity))) = X2,
inference(backward_demodulation,[],[f36,f66]) ).
fof(f36,plain,
! [X2,X1] : divide(divide(identity,divide(identity,divide(X2,X1))),divide(identity,divide(divide(X1,identity),identity))) = X2,
inference(superposition,[],[f8,f26]) ).
fof(f305,plain,
! [X18,X19,X17,X20] : divide(divide(X17,X18),divide(X19,X18)) = divide(divide(divide(X17,X19),X20),divide(identity,X20)),
inference(forward_demodulation,[],[f278,f106]) ).
fof(f106,plain,
! [X3,X4,X5] : divide(X3,divide(X5,divide(identity,X4))) = divide(divide(X3,X4),X5),
inference(forward_demodulation,[],[f91,f89]) ).
fof(f89,plain,
! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(forward_demodulation,[],[f88,f73]) ).
fof(f88,plain,
! [X0,X1] : divide(identity,divide(X0,X1)) = divide(divide(identity,divide(identity,X1)),X0),
inference(forward_demodulation,[],[f53,f66]) ).
fof(f53,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X1)),X0) = divide(identity,divide(X0,divide(X1,identity))),
inference(superposition,[],[f8,f10]) ).
fof(f91,plain,
! [X3,X4,X5] : divide(X3,divide(identity,divide(divide(identity,X4),X5))) = divide(divide(X3,X4),X5),
inference(backward_demodulation,[],[f82,f89]) ).
fof(f82,plain,
! [X3,X4,X5] : divide(X3,divide(identity,divide(divide(identity,X4),X5))) = divide(divide(identity,divide(X4,X3)),X5),
inference(backward_demodulation,[],[f18,f73]) ).
fof(f18,plain,
! [X3,X4,X5] : divide(divide(identity,divide(X4,X3)),X5) = divide(identity,divide(identity,divide(X3,divide(identity,divide(divide(identity,X4),X5))))),
inference(superposition,[],[f7,f8]) ).
fof(f278,plain,
! [X18,X19,X17,X20] : divide(divide(X17,X18),divide(X19,X18)) = divide(divide(X17,divide(X20,divide(identity,X19))),divide(identity,X20)),
inference(superposition,[],[f103,f103]) ).
fof(f103,plain,
! [X2,X3,X4] : divide(divide(divide(X4,X3),divide(X2,X3)),divide(identity,X2)) = X4,
inference(backward_demodulation,[],[f71,f89]) ).
fof(f71,plain,
! [X2,X3,X4] : divide(divide(identity,divide(divide(X2,X3),divide(X4,X3))),divide(identity,X2)) = X4,
inference(backward_demodulation,[],[f54,f66]) ).
fof(f54,plain,
! [X2,X3,X4] : divide(divide(identity,divide(divide(X2,divide(X3,identity)),divide(X4,X3))),divide(identity,X2)) = X4,
inference(superposition,[],[f7,f10]) ).
fof(f104,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(backward_demodulation,[],[f6,f89]) ).
fof(f6,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP459-1 : 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
% 0.12/0.33 % Computer : n001.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 22:51:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (31324)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)
% 0.20/0.49 % (31314)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)
% 0.20/0.50 % (31308)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50 % (31332)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 (2999ds/248Mi)
% 0.20/0.50 % (31331)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 (2999ds/111Mi)
% 0.20/0.50 % (31316)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)
% 0.20/0.50 % (31315)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.50 % (31328)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.51 % (31328)First to succeed.
% 0.20/0.51 % (31314)Instruction limit reached!
% 0.20/0.51 % (31314)------------------------------
% 0.20/0.51 % (31314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (31314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (31314)Termination reason: Unknown
% 0.20/0.51 % (31314)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (31314)Memory used [KB]: 5628
% 0.20/0.51 % (31314)Time elapsed: 0.114 s
% 0.20/0.51 % (31314)Instructions burned: 7 (million)
% 0.20/0.51 % (31314)------------------------------
% 0.20/0.51 % (31314)------------------------------
% 0.20/0.52 % (31323)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 (2999ds/212Mi)
% 0.20/0.52 % (31317)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)
% 0.20/0.52 % (31322)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 (2999ds/321Mi)
% 0.20/0.52 % (31327)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 (2999ds/103Mi)
% 0.20/0.52 % (31328)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (31328)------------------------------
% 0.20/0.52 % (31328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (31328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (31328)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (31328)Memory used [KB]: 5628
% 0.20/0.52 % (31328)Time elapsed: 0.119 s
% 0.20/0.52 % (31328)Instructions burned: 19 (million)
% 0.20/0.52 % (31328)------------------------------
% 0.20/0.52 % (31328)------------------------------
% 0.20/0.52 % (31307)Success in time 0.178 s
%------------------------------------------------------------------------------