TSTP Solution File: GRP452-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP452-1 : 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_sat --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 16:22:33 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 63 ( 63 unt; 0 def)
% Number of atoms : 63 ( 62 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 116 ( 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f435,plain,
$false,
inference(subsumption_resolution,[],[f425,f8]) ).
fof(f8,plain,
a2 != sF2,
inference(definition_folding,[],[f4,f7,f6,f5]) ).
fof(f5,plain,
inverse(b2) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
multiply(sF0,b2) = sF1,
introduced(function_definition,[]) ).
fof(f7,plain,
sF2 = multiply(sF1,a2),
introduced(function_definition,[]) ).
fof(f4,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f425,plain,
a2 = sF2,
inference(backward_demodulation,[],[f356,f386]) ).
fof(f386,plain,
! [X4,X5] : multiply(divide(X4,X5),X5) = X4,
inference(backward_demodulation,[],[f148,f382]) ).
fof(f382,plain,
! [X9] : inverse(inverse(X9)) = X9,
inference(backward_demodulation,[],[f257,f375]) ).
fof(f375,plain,
! [X3,X4] : divide(inverse(divide(X3,X4)),inverse(X3)) = X4,
inference(backward_demodulation,[],[f98,f374]) ).
fof(f374,plain,
! [X11] : divide(X11,sF1) = X11,
inference(forward_demodulation,[],[f372,f148]) ).
fof(f372,plain,
! [X11,X12] : divide(X11,sF1) = multiply(divide(inverse(inverse(X11)),X12),X12),
inference(superposition,[],[f148,f256]) ).
fof(f256,plain,
! [X0] : inverse(X0) = inverse(divide(X0,sF1)),
inference(forward_demodulation,[],[f255,f29]) ).
fof(f29,plain,
! [X2,X1] : divide(inverse(inverse(multiply(X1,X2))),X2) = X1,
inference(forward_demodulation,[],[f28,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f28,plain,
! [X2,X1] : divide(inverse(inverse(divide(X1,inverse(X2)))),X2) = X1,
inference(forward_demodulation,[],[f25,f12]) ).
fof(f12,plain,
! [X0,X1] : divide(inverse(divide(X0,X0)),X1) = inverse(X1),
inference(superposition,[],[f3,f3]) ).
fof(f25,plain,
! [X2,X0,X1] : divide(inverse(inverse(divide(X1,divide(inverse(divide(X0,X0)),X2)))),X2) = X1,
inference(superposition,[],[f11,f3]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f255,plain,
! [X2,X0] : divide(inverse(inverse(multiply(inverse(X0),X2))),X2) = inverse(divide(X0,sF1)),
inference(forward_demodulation,[],[f232,f212]) ).
fof(f212,plain,
! [X11,X12,X13] : inverse(inverse(multiply(X12,X13))) = inverse(divide(X11,divide(X12,divide(inverse(X11),X13)))),
inference(forward_demodulation,[],[f190,f193]) ).
fof(f193,plain,
! [X28,X29,X26,X27] : inverse(inverse(multiply(X26,X27))) = divide(inverse(divide(divide(X28,divide(X27,divide(inverse(X28),X29))),X26)),X29),
inference(superposition,[],[f21,f29]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2) = X3,
inference(superposition,[],[f11,f11]) ).
fof(f190,plain,
! [X11,X14,X15,X12,X13] : divide(inverse(divide(divide(X14,divide(X13,divide(inverse(X14),X15))),X12)),X15) = inverse(divide(X11,divide(X12,divide(inverse(X11),X13)))),
inference(superposition,[],[f21,f11]) ).
fof(f232,plain,
! [X2,X0,X1] : divide(inverse(divide(X1,divide(inverse(X0),divide(inverse(X1),X2)))),X2) = inverse(divide(X0,sF1)),
inference(superposition,[],[f24,f70]) ).
fof(f70,plain,
! [X0] : divide(X0,X0) = sF1,
inference(backward_demodulation,[],[f31,f67]) ).
fof(f67,plain,
! [X3,X4] : divide(inverse(multiply(X3,divide(inverse(X3),X4))),X4) = sF1,
inference(forward_demodulation,[],[f65,f9]) ).
fof(f65,plain,
! [X3,X4] : divide(inverse(divide(X3,inverse(divide(inverse(X3),X4)))),X4) = sF1,
inference(superposition,[],[f11,f19]) ).
fof(f19,plain,
! [X0] : inverse(X0) = divide(sF1,X0),
inference(superposition,[],[f3,f17]) ).
fof(f17,plain,
divide(sF0,sF0) = sF1,
inference(superposition,[],[f13,f6]) ).
fof(f13,plain,
! [X0] : multiply(X0,b2) = divide(X0,sF0),
inference(superposition,[],[f9,f5]) ).
fof(f31,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(inverse(multiply(X1,divide(inverse(X1),X2))),X2),
inference(forward_demodulation,[],[f23,f9]) ).
fof(f23,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(inverse(divide(X1,inverse(divide(inverse(X1),X2)))),X2),
inference(superposition,[],[f11,f3]) ).
fof(f24,plain,
! [X3,X6,X4,X5] : divide(inverse(divide(X5,X4)),X6) = inverse(divide(X3,divide(X4,divide(inverse(X3),divide(inverse(X5),X6))))),
inference(superposition,[],[f11,f11]) ).
fof(f98,plain,
! [X3,X4] : divide(inverse(divide(X3,divide(X4,sF1))),inverse(X3)) = X4,
inference(superposition,[],[f11,f70]) ).
fof(f257,plain,
! [X8,X9] : divide(inverse(divide(X8,X9)),inverse(X8)) = inverse(inverse(X9)),
inference(backward_demodulation,[],[f250,f256]) ).
fof(f250,plain,
! [X8,X9] : divide(inverse(divide(X8,X9)),inverse(X8)) = inverse(inverse(divide(X9,sF1))),
inference(forward_demodulation,[],[f249,f101]) ).
fof(f101,plain,
! [X2] : multiply(X2,sF1) = divide(X2,sF1),
inference(superposition,[],[f9,f81]) ).
fof(f81,plain,
sF1 = inverse(sF1),
inference(forward_demodulation,[],[f69,f70]) ).
fof(f69,plain,
! [X7] : inverse(divide(X7,X7)) = sF1,
inference(backward_demodulation,[],[f45,f67]) ).
fof(f45,plain,
! [X8,X9,X7] : inverse(divide(X7,X7)) = divide(inverse(multiply(X8,divide(inverse(X8),X9))),X9),
inference(forward_demodulation,[],[f41,f9]) ).
fof(f41,plain,
! [X8,X9,X7] : inverse(divide(X7,X7)) = divide(inverse(divide(X8,inverse(divide(inverse(X8),X9)))),X9),
inference(superposition,[],[f11,f12]) ).
fof(f249,plain,
! [X8,X9] : divide(inverse(divide(X8,X9)),inverse(X8)) = inverse(inverse(multiply(X9,sF1))),
inference(forward_demodulation,[],[f230,f212]) ).
fof(f230,plain,
! [X10,X8,X9] : divide(inverse(divide(X8,X9)),inverse(X8)) = inverse(divide(X10,divide(X9,divide(inverse(X10),sF1)))),
inference(superposition,[],[f24,f70]) ).
fof(f148,plain,
! [X4,X5] : multiply(divide(inverse(inverse(X4)),X5),X5) = X4,
inference(backward_demodulation,[],[f30,f141]) ).
fof(f141,plain,
! [X2,X3,X4] : inverse(divide(X2,divide(X3,multiply(inverse(X2),X4)))) = divide(inverse(inverse(X3)),X4),
inference(superposition,[],[f29,f30]) ).
fof(f30,plain,
! [X3,X4,X5] : multiply(inverse(divide(X3,divide(X4,multiply(inverse(X3),X5)))),X5) = X4,
inference(forward_demodulation,[],[f26,f9]) ).
fof(f26,plain,
! [X3,X4,X5] : multiply(inverse(divide(X3,divide(X4,divide(inverse(X3),inverse(X5))))),X5) = X4,
inference(superposition,[],[f11,f9]) ).
fof(f356,plain,
! [X1] : sF2 = multiply(divide(a2,X1),X1),
inference(superposition,[],[f148,f331]) ).
fof(f331,plain,
a2 = inverse(inverse(sF2)),
inference(superposition,[],[f72,f312]) ).
fof(f312,plain,
a2 = multiply(sF1,sF2),
inference(superposition,[],[f156,f280]) ).
fof(f280,plain,
sF2 = inverse(inverse(a2)),
inference(superposition,[],[f72,f7]) ).
fof(f156,plain,
! [X4] : multiply(sF1,inverse(inverse(X4))) = X4,
inference(superposition,[],[f148,f70]) ).
fof(f72,plain,
! [X3] : multiply(sF1,X3) = inverse(inverse(X3)),
inference(backward_demodulation,[],[f50,f68]) ).
fof(f68,plain,
! [X6] : multiply(inverse(X6),X6) = sF1,
inference(backward_demodulation,[],[f57,f67]) ).
fof(f57,plain,
! [X8,X6,X7] : divide(inverse(multiply(X7,divide(inverse(X7),X8))),X8) = multiply(inverse(X6),X6),
inference(forward_demodulation,[],[f54,f9]) ).
fof(f54,plain,
! [X8,X6,X7] : divide(inverse(divide(X7,inverse(divide(inverse(X7),X8)))),X8) = multiply(inverse(X6),X6),
inference(superposition,[],[f11,f15]) ).
fof(f15,plain,
! [X0,X1] : inverse(X1) = divide(multiply(inverse(X0),X0),X1),
inference(superposition,[],[f3,f9]) ).
fof(f50,plain,
! [X2,X3] : multiply(multiply(inverse(X2),X2),X3) = inverse(inverse(X3)),
inference(superposition,[],[f15,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP452-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:26:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.46 % (3975)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.47 % (3969)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.47 % (3984)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.49 % (3983)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.50 % (3976)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50 % (3957)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.50 % (3959)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 TRYING [4]
% 0.19/0.50 % (3964)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.50 % (3961)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (3977)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.51 % (3975)First to succeed.
% 0.19/0.51 % (3965)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51 % (3975)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (3975)------------------------------
% 0.19/0.51 % (3975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3975)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (3975)Memory used [KB]: 5884
% 0.19/0.51 % (3975)Time elapsed: 0.135 s
% 0.19/0.51 % (3975)Instructions burned: 27 (million)
% 0.19/0.51 % (3975)------------------------------
% 0.19/0.51 % (3975)------------------------------
% 0.19/0.51 % (3956)Success in time 0.172 s
%------------------------------------------------------------------------------