TSTP Solution File: GRP462-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP462-1 : 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 : n009.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 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 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 : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f927,plain,
$false,
inference(trivial_inequality_removal,[],[f895]) ).
fof(f895,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(backward_demodulation,[],[f384,f777]) ).
fof(f777,plain,
! [X21,X19,X20] : divide(divide(X19,divide(identity,X20)),X21) = divide(X19,divide(X21,X20)),
inference(superposition,[],[f764,f308]) ).
fof(f308,plain,
! [X0,X1] : divide(divide(X1,divide(identity,X0)),X0) = X1,
inference(superposition,[],[f233,f42]) ).
fof(f42,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[],[f29,f16]) ).
fof(f16,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f7,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(identity,X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f29,plain,
! [X0] : divide(identity,divide(divide(identity,X0),identity)) = X0,
inference(superposition,[],[f23,f4]) ).
fof(f23,plain,
! [X4,X5] : divide(X4,divide(divide(identity,X5),divide(identity,X4))) = X5,
inference(forward_demodulation,[],[f21,f16]) ).
fof(f21,plain,
! [X4,X5] : divide(X4,divide(divide(divide(identity,X5),identity),divide(identity,X4))) = X5,
inference(superposition,[],[f7,f16]) ).
fof(f233,plain,
! [X2,X1] : divide(divide(X1,X2),divide(identity,X2)) = X1,
inference(superposition,[],[f10,f110]) ).
fof(f110,plain,
! [X11,X12] : divide(divide(identity,divide(X12,X11)),divide(identity,X12)) = X11,
inference(forward_demodulation,[],[f105,f42]) ).
fof(f105,plain,
! [X11,X12] : divide(divide(identity,divide(X12,divide(identity,divide(identity,X11)))),divide(identity,X12)) = X11,
inference(superposition,[],[f39,f44]) ).
fof(f44,plain,
! [X4,X5] : divide(X5,divide(X4,divide(identity,X5))) = divide(identity,X4),
inference(forward_demodulation,[],[f43,f16]) ).
fof(f43,plain,
! [X4,X5] : divide(X5,divide(X4,divide(identity,X5))) = divide(divide(identity,X4),identity),
inference(forward_demodulation,[],[f27,f4]) ).
fof(f27,plain,
! [X4,X5] : divide(divide(identity,X4),divide(identity,identity)) = divide(X5,divide(X4,divide(identity,X5))),
inference(superposition,[],[f23,f23]) ).
fof(f39,plain,
! [X4,X5] : divide(divide(identity,X4),divide(divide(identity,X5),X4)) = X5,
inference(forward_demodulation,[],[f38,f16]) ).
fof(f38,plain,
! [X4,X5] : divide(divide(divide(identity,X4),identity),divide(divide(identity,X5),X4)) = X5,
inference(forward_demodulation,[],[f31,f4]) ).
fof(f31,plain,
! [X4,X5] : divide(divide(divide(identity,X4),divide(identity,identity)),divide(divide(identity,X5),X4)) = X5,
inference(superposition,[],[f23,f23]) ).
fof(f10,plain,
! [X0,X1] : divide(X1,divide(identity,divide(divide(identity,X1),divide(identity,X0)))) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f764,plain,
! [X36,X34,X35] : divide(divide(X36,X35),divide(X34,X35)) = divide(X36,X34),
inference(forward_demodulation,[],[f763,f16]) ).
fof(f763,plain,
! [X36,X34,X35] : divide(divide(divide(X36,identity),X35),divide(X34,X35)) = divide(X36,X34),
inference(forward_demodulation,[],[f762,f320]) ).
fof(f320,plain,
! [X8,X7] : divide(X8,X7) = divide(identity,divide(X7,X8)),
inference(superposition,[],[f44,f233]) ).
fof(f762,plain,
! [X36,X34,X35] : divide(divide(divide(identity,divide(identity,X36)),X35),divide(X34,X35)) = divide(X36,X34),
inference(forward_demodulation,[],[f733,f320]) ).
fof(f733,plain,
! [X36,X34,X35] : divide(identity,divide(divide(X34,X35),divide(divide(identity,divide(identity,X36)),X35))) = divide(X36,X34),
inference(superposition,[],[f44,f647]) ).
fof(f647,plain,
! [X18,X19,X17] : divide(divide(divide(X17,X19),divide(divide(identity,X18),X19)),X18) = X17,
inference(forward_demodulation,[],[f646,f320]) ).
fof(f646,plain,
! [X18,X19,X17] : divide(divide(identity,divide(divide(divide(identity,X18),X19),divide(X17,X19))),X18) = X17,
inference(forward_demodulation,[],[f645,f16]) ).
fof(f645,plain,
! [X18,X19,X17] : divide(divide(identity,divide(divide(divide(identity,X18),X19),divide(X17,X19))),X18) = divide(X17,identity),
inference(forward_demodulation,[],[f620,f320]) ).
fof(f620,plain,
! [X18,X19,X17] : divide(divide(identity,divide(divide(divide(identity,X18),X19),divide(X17,X19))),X18) = divide(identity,divide(identity,X17)),
inference(superposition,[],[f67,f272]) ).
fof(f272,plain,
! [X11,X12,X13] : divide(divide(identity,X11),divide(divide(divide(identity,X12),X13),divide(X11,X13))) = X12,
inference(forward_demodulation,[],[f271,f42]) ).
fof(f271,plain,
! [X11,X12,X13] : divide(divide(identity,divide(identity,divide(identity,X11))),divide(divide(divide(identity,X12),X13),divide(X11,X13))) = X12,
inference(forward_demodulation,[],[f246,f4]) ).
fof(f246,plain,
! [X11,X12,X13] : divide(divide(identity,divide(divide(identity,identity),divide(identity,X11))),divide(divide(divide(identity,X12),X13),divide(X11,X13))) = X12,
inference(superposition,[],[f7,f10]) ).
fof(f67,plain,
! [X0,X1] : divide(identity,X0) = divide(divide(identity,X1),divide(X0,X1)),
inference(superposition,[],[f39,f42]) ).
fof(f384,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(backward_demodulation,[],[f6,f320]) ).
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
% 0.03/0.11 % Problem : GRP462-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.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 22:27:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (5172)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)
% 0.18/0.48 % (5163)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)
% 0.18/0.49 % (5151)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)
% 0.18/0.49 % (5154)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.18/0.50 % (5162)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)
% 0.18/0.51 % (5171)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)
% 0.18/0.51 % (5161)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)
% 0.18/0.51 % (5169)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)
% 0.18/0.51 % (5147)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.18/0.51 % (5175)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)
% 0.18/0.51 % (5149)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)
% 0.18/0.51 % (5165)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)
% 0.18/0.52 % (5152)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)
% 0.18/0.52 % (5148)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)
% 0.18/0.52 % (5150)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)
% 0.18/0.52 % (5153)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)
% 0.18/0.52 % (5177)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)
% 0.18/0.52 % (5150)Instruction limit reached!
% 0.18/0.52 % (5150)------------------------------
% 0.18/0.52 % (5150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (5148)Instruction limit reached!
% 0.18/0.52 % (5148)------------------------------
% 0.18/0.52 % (5148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (5156)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)
% 0.18/0.53 % (5164)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)
% 0.18/0.53 % (5167)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)
% 0.18/0.53 % (5168)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.18/0.53 % (5150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (5150)Termination reason: Unknown
% 0.18/0.53 % (5150)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (5150)Memory used [KB]: 5500
% 0.18/0.53 % (5150)Time elapsed: 0.139 s
% 0.18/0.53 % (5150)Instructions burned: 8 (million)
% 0.18/0.53 % (5150)------------------------------
% 0.18/0.53 % (5150)------------------------------
% 0.18/0.53 % (5173)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)
% 0.18/0.53 % (5166)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)
% 0.18/0.53 % (5155)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)
% 0.18/0.53 % (5160)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)
% 0.18/0.53 % (5176)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)
% 0.18/0.53 % (5174)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)
% 0.18/0.53 % (5170)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)
% 0.18/0.53 % (5159)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)
% 0.18/0.54 % (5153)Instruction limit reached!
% 0.18/0.54 % (5153)------------------------------
% 0.18/0.54 % (5153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (5153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (5153)Termination reason: Unknown
% 0.18/0.54 % (5153)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (5153)Memory used [KB]: 5628
% 0.18/0.54 % (5153)Time elapsed: 0.149 s
% 0.18/0.54 % (5153)Instructions burned: 8 (million)
% 0.18/0.54 % (5153)------------------------------
% 0.18/0.54 % (5153)------------------------------
% 0.18/0.54 % (5148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (5148)Termination reason: Unknown
% 0.18/0.54 % (5148)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (5148)Memory used [KB]: 5628
% 0.18/0.54 % (5148)Time elapsed: 0.140 s
% 0.18/0.54 % (5148)Instructions burned: 11 (million)
% 0.18/0.54 % (5148)------------------------------
% 0.18/0.54 % (5148)------------------------------
% 0.18/0.54 % (5152)Instruction limit reached!
% 0.18/0.54 % (5152)------------------------------
% 0.18/0.54 % (5152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (5152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (5152)Termination reason: Unknown
% 0.18/0.54 % (5152)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (5152)Memory used [KB]: 5884
% 0.18/0.54 % (5152)Time elapsed: 0.159 s
% 0.18/0.54 % (5152)Instructions burned: 21 (million)
% 0.18/0.54 % (5152)------------------------------
% 0.18/0.54 % (5152)------------------------------
% 0.18/0.55 % (5158)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)
% 0.18/0.55 % (5154)Instruction limit reached!
% 0.18/0.55 % (5154)------------------------------
% 0.18/0.55 % (5154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (5154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (5154)Termination reason: Unknown
% 0.18/0.55 % (5154)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (5154)Memory used [KB]: 6140
% 0.18/0.55 % (5154)Time elapsed: 0.150 s
% 0.18/0.55 % (5154)Instructions burned: 33 (million)
% 0.18/0.55 % (5154)------------------------------
% 0.18/0.55 % (5154)------------------------------
% 0.18/0.56 % (5161)First to succeed.
% 0.18/0.56 % (5161)Refutation found. Thanks to Tanya!
% 0.18/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56 % (5161)------------------------------
% 0.18/0.56 % (5161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (5161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (5161)Termination reason: Refutation
% 0.18/0.56
% 0.18/0.56 % (5161)Memory used [KB]: 5884
% 0.18/0.56 % (5161)Time elapsed: 0.171 s
% 0.18/0.56 % (5161)Instructions burned: 34 (million)
% 0.18/0.56 % (5161)------------------------------
% 0.18/0.56 % (5161)------------------------------
% 0.18/0.56 % (5144)Success in time 0.217 s
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