TSTP Solution File: GRP551-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP551-1 : 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 : n026.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 16:16:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 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 : 124 ( 124 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f440,plain,
$false,
inference(subsumption_resolution,[],[f288,f380]) ).
fof(f380,plain,
! [X24,X22,X23] : divide(X24,divide(divide(identity,X23),X22)) = divide(X23,divide(divide(identity,X22),X24)),
inference(superposition,[],[f284,f53]) ).
fof(f53,plain,
! [X0,X1] : divide(divide(identity,X0),X1) = divide(divide(identity,X1),X0),
inference(superposition,[],[f31,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f31,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),X2),
inference(backward_demodulation,[],[f10,f26]) ).
fof(f26,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f21,f23]) ).
fof(f23,plain,
! [X0] : identity = divide(X0,divide(X0,identity)),
inference(superposition,[],[f21,f4]) ).
fof(f21,plain,
! [X0,X1] : divide(X0,divide(X0,divide(X1,identity))) = X1,
inference(superposition,[],[f12,f14]) ).
fof(f14,plain,
! [X1] : divide(identity,divide(identity,divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f13,f4]) ).
fof(f13,plain,
! [X1] : divide(identity,divide(divide(identity,identity),divide(X1,identity))) = X1,
inference(forward_demodulation,[],[f7,f10]) ).
fof(f7,plain,
! [X0,X1] : divide(identity,divide(divide(divide(X0,identity),X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f12,plain,
! [X2,X0] : divide(divide(identity,X0),divide(divide(identity,X0),divide(X2,identity))) = X2,
inference(backward_demodulation,[],[f1,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X0),X2),X1) = divide(divide(identity,X0),divide(X2,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f284,plain,
! [X6,X4,X5] : divide(X4,divide(X6,X5)) = divide(X5,divide(X6,X4)),
inference(forward_demodulation,[],[f282,f262]) ).
fof(f262,plain,
! [X11,X12,X13] : divide(divide(X13,X11),divide(identity,X12)) = divide(X13,divide(X11,X12)),
inference(superposition,[],[f135,f66]) ).
fof(f66,plain,
! [X10,X9] : divide(divide(X9,X10),X9) = divide(identity,X10),
inference(forward_demodulation,[],[f62,f26]) ).
fof(f62,plain,
! [X10,X9] : divide(divide(X9,X10),X9) = divide(divide(identity,X10),identity),
inference(superposition,[],[f31,f26]) ).
fof(f135,plain,
! [X21,X18,X19] : divide(X21,X18) = divide(divide(X21,X19),divide(X18,X19)),
inference(backward_demodulation,[],[f131,f134]) ).
fof(f134,plain,
! [X16,X14,X17,X15] : divide(divide(X16,X17),X14) = divide(divide(X15,divide(divide(X14,X16),divide(identity,X15))),X17),
inference(forward_demodulation,[],[f133,f26]) ).
fof(f133,plain,
! [X16,X14,X17,X15] : divide(divide(X16,X17),X14) = divide(divide(divide(X15,divide(divide(X14,X16),divide(identity,X15))),X17),identity),
inference(forward_demodulation,[],[f105,f76]) ).
fof(f76,plain,
! [X6,X4,X5] : divide(divide(identity,divide(X4,X5)),X6) = divide(divide(X5,X6),X4),
inference(superposition,[],[f31,f29]) ).
fof(f29,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[],[f21,f26]) ).
fof(f105,plain,
! [X16,X14,X17,X15] : divide(divide(X16,X17),X14) = divide(divide(identity,divide(identity,divide(X15,divide(divide(X14,X16),divide(identity,X15))))),X17),
inference(superposition,[],[f31,f80]) ).
fof(f80,plain,
! [X2,X4,X5] : divide(X4,divide(identity,divide(X2,divide(divide(X4,X5),divide(identity,X2))))) = X5,
inference(backward_demodulation,[],[f64,f75]) ).
fof(f75,plain,
! [X2,X3] : divide(X3,divide(identity,X2)) = divide(X2,divide(identity,X3)),
inference(superposition,[],[f11,f29]) ).
fof(f11,plain,
! [X3,X4] : divide(divide(identity,X4),divide(identity,X3)) = divide(X3,X4),
inference(superposition,[],[f1,f4]) ).
fof(f64,plain,
! [X2,X4,X5] : divide(divide(X2,divide(divide(X4,X5),divide(identity,X2))),divide(identity,X4)) = X5,
inference(backward_demodulation,[],[f30,f55]) ).
fof(f55,plain,
! [X6,X4,X5] : divide(divide(identity,divide(divide(identity,X5),X4)),X6) = divide(divide(X5,X6),divide(identity,X4)),
inference(superposition,[],[f31,f8]) ).
fof(f8,plain,
! [X0,X1] : divide(divide(identity,X0),divide(divide(identity,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f30,plain,
! [X2,X4,X5] : divide(divide(identity,divide(divide(identity,X2),X4)),divide(divide(X4,X5),divide(identity,X2))) = X5,
inference(backward_demodulation,[],[f15,f26]) ).
fof(f15,plain,
! [X2,X4,X5] : divide(divide(identity,divide(divide(identity,X2),divide(X4,identity))),divide(divide(X4,X5),divide(identity,X2))) = X5,
inference(forward_demodulation,[],[f9,f10]) ).
fof(f9,plain,
! [X2,X3,X4,X5] : divide(divide(identity,divide(divide(divide(X3,X2),X4),X3)),divide(divide(X4,X5),divide(identity,X2))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f131,plain,
! [X21,X18,X19,X20] : divide(X21,X18) = divide(divide(X20,divide(divide(divide(X18,X19),X21),divide(identity,X20))),X19),
inference(forward_demodulation,[],[f106,f11]) ).
fof(f106,plain,
! [X21,X18,X19,X20] : divide(divide(identity,X19),divide(identity,divide(X20,divide(divide(divide(X18,X19),X21),divide(identity,X20))))) = divide(X21,X18),
inference(superposition,[],[f31,f80]) ).
fof(f282,plain,
! [X6,X4,X5] : divide(X4,divide(X6,X5)) = divide(divide(X5,X6),divide(identity,X4)),
inference(backward_demodulation,[],[f78,f262]) ).
fof(f78,plain,
! [X6,X4,X5] : divide(divide(X4,X6),divide(identity,X5)) = divide(divide(X5,X6),divide(identity,X4)),
inference(backward_demodulation,[],[f55,f76]) ).
fof(f288,plain,
divide(b3,divide(divide(identity,a3),c3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(backward_demodulation,[],[f179,f284]) ).
fof(f179,plain,
divide(c3,divide(divide(identity,a3),b3)) != divide(a3,divide(divide(identity,c3),b3)),
inference(backward_demodulation,[],[f177,f171]) ).
fof(f171,plain,
! [X6,X4,X5] : divide(divide(X5,X4),X6) = divide(divide(X5,X6),X4),
inference(backward_demodulation,[],[f76,f163]) ).
fof(f163,plain,
! [X8,X7] : divide(identity,divide(X8,X7)) = divide(X7,X8),
inference(superposition,[],[f29,f118]) ).
fof(f118,plain,
! [X10,X9] : divide(X9,divide(identity,divide(X10,X9))) = X10,
inference(forward_demodulation,[],[f117,f26]) ).
fof(f117,plain,
! [X10,X9] : divide(X9,divide(identity,divide(divide(X10,identity),X9))) = X10,
inference(forward_demodulation,[],[f116,f76]) ).
fof(f116,plain,
! [X10,X9] : divide(X9,divide(identity,divide(divide(identity,divide(X9,X10)),identity))) = X10,
inference(forward_demodulation,[],[f115,f31]) ).
fof(f115,plain,
! [X10,X9,X7] : divide(X9,divide(identity,divide(divide(divide(X7,divide(X9,X10)),identity),X7))) = X10,
inference(forward_demodulation,[],[f114,f76]) ).
fof(f114,plain,
! [X10,X9,X7] : divide(X9,divide(identity,divide(divide(divide(identity,divide(identity,X7)),divide(X9,X10)),X7))) = X10,
inference(forward_demodulation,[],[f113,f60]) ).
fof(f60,plain,
! [X6,X4,X5] : divide(divide(identity,X6),X4) = divide(divide(divide(identity,X5),X6),divide(X4,X5)),
inference(superposition,[],[f31,f31]) ).
fof(f113,plain,
! [X10,X8,X9,X7] : divide(X9,divide(identity,divide(divide(divide(divide(identity,X8),divide(identity,X7)),divide(divide(X9,X10),X8)),X7))) = X10,
inference(forward_demodulation,[],[f91,f76]) ).
fof(f91,plain,
! [X10,X8,X9,X7] : divide(X9,divide(identity,divide(divide(identity,divide(X7,divide(divide(identity,X8),divide(identity,X7)))),divide(divide(X9,X10),X8)))) = X10,
inference(superposition,[],[f80,f80]) ).
fof(f177,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(c3,divide(divide(identity,b3),a3)),
inference(forward_demodulation,[],[f175,f163]) ).
fof(f175,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(divide(identity,b3),a3)),
inference(backward_demodulation,[],[f81,f163]) ).
fof(f81,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(c3,divide(identity,divide(a3,divide(identity,b3)))),
inference(backward_demodulation,[],[f6,f75]) ).
fof(f6,plain,
divide(divide(a3,divide(identity,b3)),divide(identity,c3)) != divide(a3,divide(identity,divide(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
% 0.10/0.12 % Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % 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 : n026.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 22:47:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (18631)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.49 % (18625)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)
% 0.20/0.50 % (18639)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)
% 0.20/0.50 % (18623)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 % (18634)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)
% 0.20/0.51 % (18647)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)
% 0.20/0.51 % (18642)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)
% 0.20/0.51 % (18646)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)
% 0.20/0.52 % (18632)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)
% 0.20/0.52 % (18631)Instruction limit reached!
% 0.20/0.52 % (18631)------------------------------
% 0.20/0.52 % (18631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18631)Termination reason: Unknown
% 0.20/0.52 % (18631)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (18631)Memory used [KB]: 5884
% 0.20/0.52 % (18631)Time elapsed: 0.116 s
% 0.20/0.52 % (18631)Instructions burned: 33 (million)
% 0.20/0.52 % (18631)------------------------------
% 0.20/0.52 % (18631)------------------------------
% 0.20/0.52 % (18638)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 % (18636)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)
% 0.20/0.52 % (18629)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)
% 0.20/0.52 % (18653)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)
% 0.20/0.53 % (18648)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)
% 0.20/0.53 % (18626)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)
% 0.20/0.53 % (18654)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 % (18626)Instruction limit reached!
% 0.20/0.53 % (18626)------------------------------
% 0.20/0.53 % (18626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18626)Termination reason: Unknown
% 0.20/0.53 % (18626)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (18626)Memory used [KB]: 5500
% 0.20/0.53 % (18626)Time elapsed: 0.126 s
% 0.20/0.53 % (18626)Instructions burned: 8 (million)
% 0.20/0.53 % (18626)------------------------------
% 0.20/0.53 % (18626)------------------------------
% 0.20/0.54 % (18645)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)
% 0.20/0.54 % (18640)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 % (18644)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.54 % (18634)Instruction limit reached!
% 0.20/0.54 % (18634)------------------------------
% 0.20/0.54 % (18634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18634)Termination reason: Unknown
% 0.20/0.54 % (18634)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (18634)Memory used [KB]: 6396
% 0.20/0.54 % (18634)Time elapsed: 0.123 s
% 0.20/0.54 % (18634)Instructions burned: 37 (million)
% 0.20/0.54 % (18634)------------------------------
% 0.20/0.54 % (18634)------------------------------
% 0.20/0.54 % (18637)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)
% 0.20/0.55 % (18650)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)
% 0.20/0.55 % (18625)Instruction limit reached!
% 0.20/0.55 % (18625)------------------------------
% 0.20/0.55 % (18625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18625)Termination reason: Unknown
% 0.20/0.55 % (18625)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (18625)Memory used [KB]: 6396
% 0.20/0.55 % (18625)Time elapsed: 0.135 s
% 0.20/0.55 % (18625)Instructions burned: 38 (million)
% 0.20/0.55 % (18625)------------------------------
% 0.20/0.55 % (18625)------------------------------
% 0.20/0.55 % (18641)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)
% 0.20/0.55 % (18642)First to succeed.
% 0.20/0.55 % (18624)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)
% 0.20/0.55 % (18623)Also succeeded, but the first one will report.
% 0.20/0.55 % (18642)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (18642)------------------------------
% 0.20/0.55 % (18642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18642)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (18642)Memory used [KB]: 10234
% 0.20/0.55 % (18642)Time elapsed: 0.136 s
% 0.20/0.55 % (18642)Instructions burned: 26 (million)
% 0.20/0.55 % (18642)------------------------------
% 0.20/0.55 % (18642)------------------------------
% 0.20/0.55 % (18620)Success in time 0.201 s
%------------------------------------------------------------------------------