TSTP Solution File: GRP614-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP614-1 : 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 : n004.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 16:16:41 EDT 2022
% Result : Unsatisfiable 1.55s 0.55s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 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 : 11 ( 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f749,plain,
$false,
inference(subsumption_resolution,[],[f745,f152]) ).
fof(f152,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f73,f44]) ).
fof(f44,plain,
! [X10,X11] : double_divide(inverse(double_divide(inverse(X10),X10)),inverse(X11)) = X11,
inference(superposition,[],[f33,f27]) ).
fof(f27,plain,
! [X3,X1] : double_divide(inverse(double_divide(inverse(X3),inverse(X1))),X3) = X1,
inference(forward_demodulation,[],[f15,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f15,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(X3),double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(inverse(X1)))),X2)),double_divide(X0,X2)))),X3) = X1,
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),inverse(X3))),double_divide(X0,X2))),X1) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
! [X10,X11] : double_divide(inverse(X11),double_divide(inverse(X10),X10)) = X11,
inference(superposition,[],[f1,f27]) ).
fof(f73,plain,
! [X36,X37] : double_divide(inverse(double_divide(inverse(X37),inverse(X36))),X36) = X37,
inference(forward_demodulation,[],[f70,f44]) ).
fof(f70,plain,
! [X36,X37,X35] : double_divide(inverse(double_divide(inverse(double_divide(inverse(double_divide(inverse(X35),X35)),inverse(X37))),inverse(X36))),X36) = X37,
inference(superposition,[],[f1,f44]) ).
fof(f745,plain,
a2 != inverse(inverse(a2)),
inference(superposition,[],[f593,f546]) ).
fof(f546,plain,
! [X3,X1] : double_divide(X3,inverse(double_divide(inverse(X3),inverse(X1)))) = X1,
inference(backward_demodulation,[],[f27,f473]) ).
fof(f473,plain,
! [X11,X12] : double_divide(X11,X12) = double_divide(X12,X11),
inference(superposition,[],[f189,f431]) ).
fof(f431,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f218,f152]) ).
fof(f218,plain,
! [X0,X1] : double_divide(inverse(X1),double_divide(X0,inverse(X1))) = X0,
inference(superposition,[],[f5,f183]) ).
fof(f183,plain,
! [X29,X30] : double_divide(inverse(X30),double_divide(X29,inverse(X29))) = X30,
inference(superposition,[],[f33,f152]) ).
fof(f5,plain,
! [X2,X0,X1] : double_divide(inverse(X1),double_divide(inverse(double_divide(X0,inverse(X1))),double_divide(X0,inverse(X2)))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f189,plain,
! [X41,X42] : double_divide(X41,double_divide(X41,X42)) = X42,
inference(superposition,[],[f77,f152]) ).
fof(f77,plain,
! [X21,X22] : double_divide(inverse(X21),double_divide(inverse(X21),X22)) = X22,
inference(forward_demodulation,[],[f66,f44]) ).
fof(f66,plain,
! [X21,X22,X20] : double_divide(inverse(X21),double_divide(inverse(X21),double_divide(inverse(double_divide(inverse(X20),X20)),inverse(X22)))) = X22,
inference(superposition,[],[f5,f44]) ).
fof(f593,plain,
! [X21] : a2 != inverse(double_divide(a2,inverse(double_divide(X21,inverse(X21))))),
inference(superposition,[],[f4,f579]) ).
fof(f579,plain,
! [X18,X19] : double_divide(X19,inverse(X19)) = double_divide(X18,inverse(X18)),
inference(forward_demodulation,[],[f549,f473]) ).
fof(f549,plain,
! [X18,X19] : double_divide(X19,inverse(X19)) = double_divide(inverse(X18),X18),
inference(backward_demodulation,[],[f85,f473]) ).
fof(f85,plain,
! [X18,X19] : double_divide(inverse(X19),X19) = double_divide(inverse(X18),X18),
inference(superposition,[],[f77,f33]) ).
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/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP614-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:31:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (10351)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)
% 0.21/0.51 % (10359)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)
% 0.21/0.51 % (10368)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)
% 0.21/0.51 % (10360)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)
% 0.21/0.52 % (10352)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)
% 0.21/0.52 % (10366)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.21/0.52 % (10351)Instruction limit reached!
% 0.21/0.52 % (10351)------------------------------
% 0.21/0.52 % (10351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (10351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (10351)Termination reason: Unknown
% 0.21/0.52 % (10351)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (10351)Memory used [KB]: 5884
% 0.21/0.52 % (10351)Time elapsed: 0.108 s
% 0.21/0.52 % (10351)Instructions burned: 20 (million)
% 0.21/0.52 % (10351)------------------------------
% 0.21/0.52 % (10351)------------------------------
% 0.21/0.53 % (10350)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)
% 0.21/0.53 % (10352)Instruction limit reached!
% 0.21/0.53 % (10352)------------------------------
% 0.21/0.53 % (10352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (10352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (10352)Termination reason: Unknown
% 0.21/0.53 % (10352)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (10352)Memory used [KB]: 5628
% 0.21/0.53 % (10352)Time elapsed: 0.081 s
% 0.21/0.53 % (10352)Instructions burned: 7 (million)
% 0.21/0.53 % (10352)------------------------------
% 0.21/0.53 % (10352)------------------------------
% 0.21/0.53 % (10346)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.21/0.53 % (10358)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)
% 0.21/0.53 % (10353)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.21/0.53 % (10348)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)
% 0.21/0.53 % (10347)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)
% 0.21/0.53 % (10367)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)
% 0.21/0.53 % (10355)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)
% 0.21/0.53 % (10354)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)
% 0.21/0.54 % (10349)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)
% 0.21/0.54 % (10374)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)
% 0.21/0.54 % (10356)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)
% 0.21/0.54 % (10371)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.21/0.54 % (10369)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)
% 0.21/0.54 % (10373)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)
% 0.21/0.55 % (10370)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)
% 0.21/0.55 % (10349)Instruction limit reached!
% 0.21/0.55 % (10349)------------------------------
% 0.21/0.55 % (10349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (10349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (10349)Termination reason: Unknown
% 0.21/0.55 % (10349)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (10349)Memory used [KB]: 5500
% 0.21/0.55 % (10349)Time elapsed: 0.136 s
% 0.21/0.55 % (10349)Instructions burned: 6 (million)
% 0.21/0.55 % (10349)------------------------------
% 0.21/0.55 % (10349)------------------------------
% 0.21/0.55 % (10372)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)
% 1.55/0.55 % (10363)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)
% 1.55/0.55 % (10359)First to succeed.
% 1.55/0.55 % (10362)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)
% 1.55/0.55 % (10365)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)
% 1.55/0.55 % (10359)Refutation found. Thanks to Tanya!
% 1.55/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.55 % (10359)------------------------------
% 1.55/0.55 % (10359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.55 % (10359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.55 % (10359)Termination reason: Refutation
% 1.55/0.55
% 1.55/0.55 % (10359)Memory used [KB]: 6140
% 1.55/0.55 % (10359)Time elapsed: 0.148 s
% 1.55/0.55 % (10359)Instructions burned: 39 (million)
% 1.55/0.55 % (10359)------------------------------
% 1.55/0.55 % (10359)------------------------------
% 1.55/0.55 % (10345)Success in time 0.194 s
%------------------------------------------------------------------------------