TSTP Solution File: GRP456-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP456-1 : 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 : 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 16:15:54 EDT 2022
% Result : Unsatisfiable 1.75s 0.60s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f409,plain,
$false,
inference(trivial_inequality_removal,[],[f408]) ).
fof(f408,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(forward_demodulation,[],[f404,f73]) ).
fof(f73,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[],[f25,f69]) ).
fof(f69,plain,
! [X0] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(forward_demodulation,[],[f46,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
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(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f25,plain,
! [X0] : divide(identity,divide(identity,divide(divide(X0,identity),identity))) = X0,
inference(backward_demodulation,[],[f13,f23]) ).
fof(f23,plain,
! [X3] : divide(identity,divide(identity,divide(X3,identity))) = divide(divide(identity,divide(identity,X3)),identity),
inference(superposition,[],[f13,f13]) ).
fof(f13,plain,
! [X0] : divide(divide(identity,divide(identity,divide(X0,identity))),identity) = X0,
inference(superposition,[],[f8,f4]) ).
fof(f8,plain,
! [X0,X1] : divide(divide(identity,divide(identity,divide(X0,divide(identity,X1)))),X1) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f404,plain,
divide(a3,divide(divide(identity,c3),divide(b3,identity))) != divide(a3,divide(divide(identity,c3),b3)),
inference(backward_demodulation,[],[f102,f388]) ).
fof(f388,plain,
! [X10,X8,X9,X7] : divide(X10,divide(X7,divide(X8,X9))) = divide(divide(X10,divide(X9,X8)),X7),
inference(superposition,[],[f315,f133]) ).
fof(f133,plain,
! [X2,X3,X1] : divide(divide(X3,divide(X2,X1)),divide(X1,X2)) = X3,
inference(superposition,[],[f96,f87]) ).
fof(f87,plain,
! [X0,X1] : divide(identity,divide(X0,X1)) = divide(X1,X0),
inference(backward_demodulation,[],[f76,f82]) ).
fof(f82,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(backward_demodulation,[],[f69,f73]) ).
fof(f76,plain,
! [X0,X1] : divide(identity,divide(X0,X1)) = divide(divide(identity,divide(identity,X1)),X0),
inference(backward_demodulation,[],[f53,f73]) ).
fof(f53,plain,
! [X0,X1] : divide(divide(identity,divide(identity,X1)),X0) = divide(identity,divide(X0,divide(X1,identity))),
inference(superposition,[],[f8,f10]) ).
fof(f96,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X1) = X0,
inference(backward_demodulation,[],[f83,f87]) ).
fof(f83,plain,
! [X0,X1] : divide(identity,divide(X1,divide(X0,divide(identity,X1)))) = X0,
inference(backward_demodulation,[],[f61,f73]) ).
fof(f61,plain,
! [X0,X1] : divide(identity,divide(X1,divide(divide(X0,divide(identity,X1)),identity))) = X0,
inference(backward_demodulation,[],[f8,f53]) ).
fof(f315,plain,
! [X2,X3,X4] : divide(X2,X4) = divide(divide(X2,X3),divide(X4,X3)),
inference(superposition,[],[f96,f101]) ).
fof(f101,plain,
! [X2,X3,X4] : divide(divide(divide(X4,X3),divide(X2,X3)),divide(identity,X2)) = X4,
inference(backward_demodulation,[],[f77,f87]) ).
fof(f77,plain,
! [X2,X3,X4] : divide(divide(identity,divide(divide(X2,X3),divide(X4,X3))),divide(identity,X2)) = X4,
inference(backward_demodulation,[],[f54,f73]) ).
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(f102,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(backward_demodulation,[],[f6,f87]) ).
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/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP456-1 : TPTP v8.1.0. Released v2.6.0.
% 0.14/0.13 % 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 : n002.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 22:41:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (23734)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51 % (23753)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)
% 0.20/0.51 % (23744)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)
% 0.20/0.51 % (23734)Instruction limit reached!
% 0.20/0.51 % (23734)------------------------------
% 0.20/0.51 % (23734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23734)Termination reason: Unknown
% 0.20/0.51 % (23734)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (23734)Memory used [KB]: 5884
% 0.20/0.51 % (23734)Time elapsed: 0.114 s
% 0.20/0.51 % (23734)Instructions burned: 21 (million)
% 0.20/0.51 % (23734)------------------------------
% 0.20/0.51 % (23734)------------------------------
% 0.20/0.52 % (23731)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 (2999ds/6Mi)
% 0.20/0.52 % (23730)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 (2999ds/37Mi)
% 0.20/0.52 % (23735)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)
% 0.20/0.53 % (23733)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)
% 0.20/0.53 % (23729)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 (2999ds/10Mi)
% 0.20/0.53 % (23741)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 (2999ds/292Mi)
% 0.20/0.53 % (23729)Instruction limit reached!
% 0.20/0.53 % (23729)------------------------------
% 0.20/0.53 % (23729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (23729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (23729)Termination reason: Unknown
% 0.20/0.53 % (23729)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (23729)Memory used [KB]: 5628
% 0.20/0.53 % (23729)Time elapsed: 0.129 s
% 0.20/0.53 % (23729)Instructions burned: 12 (million)
% 0.20/0.53 % (23729)------------------------------
% 0.20/0.53 % (23729)------------------------------
% 0.20/0.53 % (23751)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.53 % (23736)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (23740)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)
% 0.20/0.54 % (23738)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)
% 0.20/0.54 % (23728)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.54 % (23748)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)
% 0.20/0.54 % (23731)Instruction limit reached!
% 0.20/0.54 % (23731)------------------------------
% 0.20/0.54 % (23731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (23731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (23731)Termination reason: Unknown
% 0.20/0.54 % (23731)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (23731)Memory used [KB]: 5500
% 0.20/0.54 % (23731)Time elapsed: 0.118 s
% 0.20/0.54 % (23731)Instructions burned: 8 (million)
% 0.20/0.54 % (23731)------------------------------
% 0.20/0.54 % (23731)------------------------------
% 0.20/0.54 % (23756)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 (2999ds/495Mi)
% 0.20/0.54 % (23743)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)
% 0.20/0.54 % (23742)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 (2999ds/353Mi)
% 0.20/0.54 % (23758)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)
% 0.20/0.54 % (23755)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 (2999ds/267Mi)
% 0.20/0.54 % (23757)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 (2999ds/381Mi)
% 0.20/0.55 % (23735)Instruction limit reached!
% 0.20/0.55 % (23735)------------------------------
% 0.20/0.55 % (23735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (23735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (23735)Termination reason: Unknown
% 0.20/0.55 % (23735)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (23735)Memory used [KB]: 5628
% 0.20/0.55 % (23735)Time elapsed: 0.148 s
% 0.20/0.55 % (23735)Instructions burned: 8 (million)
% 0.20/0.55 % (23735)------------------------------
% 0.20/0.55 % (23735)------------------------------
% 0.20/0.55 % (23749)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.55 % (23850)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 (2998ds/257Mi)
% 0.20/0.55 % (23739)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 (2999ds/37Mi)
% 0.20/0.55 % (23747)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 (2999ds/439Mi)
% 0.20/0.55 % (23754)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 (2999ds/177Mi)
% 1.60/0.56 % (23736)Instruction limit reached!
% 1.60/0.56 % (23736)------------------------------
% 1.60/0.56 % (23736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (23736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (23736)Termination reason: Unknown
% 1.60/0.56 % (23736)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (23736)Memory used [KB]: 6012
% 1.60/0.56 % (23736)Time elapsed: 0.095 s
% 1.60/0.56 % (23736)Instructions burned: 34 (million)
% 1.60/0.56 % (23736)------------------------------
% 1.60/0.56 % (23736)------------------------------
% 1.60/0.56 % (23745)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)
% 1.60/0.56 % (23750)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 1.60/0.57 % (23746)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 (2999ds/257Mi)
% 1.60/0.57 % (23737)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)
% 1.60/0.57 % (23752)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)
% 1.75/0.58 % (23749)First to succeed.
% 1.75/0.59 % (23740)Instruction limit reached!
% 1.75/0.59 % (23740)------------------------------
% 1.75/0.59 % (23740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (23730)Instruction limit reached!
% 1.75/0.59 % (23730)------------------------------
% 1.75/0.59 % (23730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (23749)Refutation found. Thanks to Tanya!
% 1.75/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.75/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.60 % (23749)------------------------------
% 1.75/0.60 % (23749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60 % (23749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60 % (23749)Termination reason: Refutation
% 1.75/0.60
% 1.75/0.60 % (23749)Memory used [KB]: 5628
% 1.75/0.60 % (23749)Time elapsed: 0.184 s
% 1.75/0.60 % (23749)Instructions burned: 20 (million)
% 1.75/0.60 % (23749)------------------------------
% 1.75/0.60 % (23749)------------------------------
% 1.75/0.60 % (23726)Success in time 0.246 s
%------------------------------------------------------------------------------