TSTP Solution File: GRP554-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP554-1 : 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 : n024.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 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 : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(trivial_inequality_removal,[],[f57]) ).
fof(f57,plain,
a2 != a2,
inference(backward_demodulation,[],[f4,f45]) ).
fof(f45,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[],[f33,f28]) ).
fof(f28,plain,
! [X2,X3] : divide(divide(X2,inverse(X3)),X2) = X3,
inference(backward_demodulation,[],[f5,f20]) ).
fof(f20,plain,
! [X3,X6,X4,X5] : divide(X5,inverse(X6)) = divide(divide(X3,inverse(divide(X4,divide(X3,X5)))),inverse(divide(X6,X4))),
inference(superposition,[],[f13,f5]) ).
fof(f13,plain,
! [X2,X1] : divide(X1,inverse(divide(X2,X1))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),inverse(divide(X3,X1))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f33,plain,
! [X2,X3,X1] : divide(divide(X2,inverse(X1)),X3) = divide(divide(X2,X3),inverse(X1)),
inference(backward_demodulation,[],[f6,f29]) ).
fof(f29,plain,
! [X2,X0,X1] : divide(X0,inverse(divide(X1,divide(X0,X2)))) = divide(X2,inverse(X1)),
inference(backward_demodulation,[],[f11,f26]) ).
fof(f26,plain,
! [X10,X8,X9,X7] : divide(X7,inverse(X8)) = divide(divide(divide(X9,inverse(divide(X7,divide(X9,X10)))),inverse(X8)),X10),
inference(backward_demodulation,[],[f12,f20]) ).
fof(f12,plain,
! [X10,X8,X6,X9,X7,X5] : divide(divide(X5,inverse(divide(X6,divide(X5,X7)))),inverse(divide(X8,X6))) = divide(divide(divide(X9,inverse(divide(X7,divide(X9,X10)))),inverse(X8)),X10),
inference(superposition,[],[f5,f5]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] : divide(X0,inverse(divide(X1,divide(X0,X2)))) = divide(divide(divide(X3,inverse(divide(X2,divide(X3,X4)))),inverse(X1)),X4),
inference(superposition,[],[f5,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(divide(X2,inverse(X1)),X3) = divide(X0,inverse(divide(X1,divide(X0,divide(X2,X3))))),
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
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 : GRP554-1 : 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 : n024.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 22:35:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (7826)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)
% 0.19/0.51 % (7834)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)
% 0.19/0.51 % (7823)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)
% 0.19/0.52 % (7819)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)
% 0.19/0.52 % (7845)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)
% 0.19/0.52 % (7840)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)
% 0.19/0.52 % (7822)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)
% 0.19/0.52 % (7818)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.52 % (7829)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)
% 0.19/0.52 % (7821)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)
% 0.19/0.52 % (7820)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)
% 0.19/0.53 % (7828)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)
% 0.19/0.53 % (7838)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.53 % (7825)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (7821)Instruction limit reached!
% 0.19/0.53 % (7821)------------------------------
% 0.19/0.53 % (7821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7821)Termination reason: Unknown
% 0.19/0.53 % (7821)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (7821)Memory used [KB]: 5628
% 0.19/0.53 % (7821)Time elapsed: 0.137 s
% 0.19/0.53 % (7821)Instructions burned: 8 (million)
% 0.19/0.53 % (7821)------------------------------
% 0.19/0.53 % (7821)------------------------------
% 0.19/0.53 % (7827)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)
% 0.19/0.53 % (7837)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)
% 0.19/0.53 % (7829)First to succeed.
% 0.19/0.53 % (7819)Instruction limit reached!
% 0.19/0.53 % (7819)------------------------------
% 0.19/0.53 % (7819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7819)Termination reason: Unknown
% 0.19/0.53 % (7819)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (7819)Memory used [KB]: 5756
% 0.19/0.53 % (7819)Time elapsed: 0.139 s
% 0.19/0.53 % (7819)Instructions burned: 11 (million)
% 0.19/0.53 % (7819)------------------------------
% 0.19/0.53 % (7819)------------------------------
% 0.19/0.53 % (7842)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)
% 0.19/0.53 % (7834)Also succeeded, but the first one will report.
% 0.19/0.53 % (7844)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)
% 0.19/0.53 % (7829)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (7829)------------------------------
% 0.19/0.53 % (7829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7829)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (7829)Memory used [KB]: 5500
% 0.19/0.53 % (7829)Time elapsed: 0.130 s
% 0.19/0.53 % (7829)Instructions burned: 7 (million)
% 0.19/0.53 % (7829)------------------------------
% 0.19/0.53 % (7829)------------------------------
% 0.19/0.53 % (7817)Success in time 0.184 s
%------------------------------------------------------------------------------