TSTP Solution File: GRP014-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.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 : Thu Aug 31 01:20:21 EDT 2023
% Result : Unsatisfiable 0.16s 0.66s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 2
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 200 (; 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14083,plain,
$false,
inference(trivial_inequality_removal,[],[f14014]) ).
fof(f14014,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(backward_demodulation,[],[f2,f13782]) ).
fof(f13782,plain,
! [X82,X80,X81] : multiply(X80,multiply(X81,X82)) = multiply(multiply(X80,X81),X82),
inference(superposition,[],[f13412,f7354]) ).
fof(f7354,plain,
! [X11,X9] : multiply(inverse(X11),multiply(X11,X9)) = X9,
inference(backward_demodulation,[],[f5047,f7312]) ).
fof(f7312,plain,
! [X44] : inverse(inverse(X44)) = X44,
inference(forward_demodulation,[],[f7233,f6956]) ).
fof(f6956,plain,
! [X10,X11] : multiply(multiply(X10,inverse(X10)),X11) = X11,
inference(forward_demodulation,[],[f6896,f5734]) ).
fof(f5734,plain,
! [X19] : inverse(inverse(inverse(inverse(X19)))) = X19,
inference(forward_demodulation,[],[f5682,f4826]) ).
fof(f4826,plain,
! [X281,X279] : inverse(inverse(X279)) = multiply(X279,multiply(X281,inverse(X281))),
inference(forward_demodulation,[],[f4670,f64]) ).
fof(f64,plain,
! [X11,X14,X15,X13] : inverse(multiply(multiply(inverse(multiply(inverse(X13),multiply(inverse(X11),multiply(X11,X14)))),X15),inverse(multiply(X13,X15)))) = X14,
inference(superposition,[],[f25,f25]) ).
fof(f25,plain,
! [X2,X0,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),multiply(inverse(inverse(X0)),multiply(inverse(X0),X2)))),X5),inverse(multiply(X4,X5)))) = X2,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/tmp/tmp.zdXjjiNjib/Vampire---4.8_14539',group_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X0)),X2))),X3),inverse(multiply(X1,X3)))) = multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f4670,plain,
! [X283,X282,X281,X279,X280] : inverse(inverse(X279)) = multiply(X279,inverse(multiply(multiply(inverse(multiply(inverse(X282),multiply(inverse(X280),multiply(X280,multiply(X281,inverse(X281)))))),X283),inverse(multiply(X282,X283))))),
inference(superposition,[],[f1,f4419]) ).
fof(f4419,plain,
! [X26,X24,X25] : multiply(X24,inverse(X24)) = multiply(inverse(X26),multiply(X26,multiply(X25,inverse(X25)))),
inference(superposition,[],[f3912,f3864]) ).
fof(f3864,plain,
! [X2,X4] : multiply(X2,inverse(X2)) = multiply(X4,inverse(X4)),
inference(superposition,[],[f3855,f1]) ).
fof(f3855,plain,
! [X2,X0,X4] : multiply(multiply(inverse(X0),X4),inverse(multiply(inverse(X0),X4))) = multiply(X2,inverse(X2)),
inference(forward_demodulation,[],[f3705,f27]) ).
fof(f27,plain,
! [X2,X1,X4,X5] : multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(superposition,[],[f1,f3]) ).
fof(f3705,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X0),X4),inverse(multiply(inverse(X0),X4))) = multiply(multiply(inverse(X5),multiply(X5,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))),inverse(X2)),
inference(superposition,[],[f3024,f27]) ).
fof(f3024,plain,
! [X56,X54,X57,X55,X53] : multiply(multiply(inverse(X53),X57),inverse(multiply(X56,X57))) = multiply(multiply(inverse(X55),multiply(X55,X54)),inverse(multiply(X56,multiply(X53,X54)))),
inference(superposition,[],[f3012,f94]) ).
fof(f94,plain,
! [X10,X12,X13] : multiply(inverse(X13),multiply(X13,X12)) = multiply(inverse(X10),multiply(X10,X12)),
inference(superposition,[],[f79,f25]) ).
fof(f79,plain,
! [X11,X14,X12] : multiply(inverse(inverse(X11)),multiply(inverse(X11),X12)) = multiply(inverse(X14),multiply(X14,X12)),
inference(superposition,[],[f27,f25]) ).
fof(f3012,plain,
! [X443,X446,X445,X444] : multiply(multiply(X443,X444),inverse(multiply(X445,X444))) = multiply(multiply(X443,X446),inverse(multiply(X445,X446))),
inference(forward_demodulation,[],[f2934,f2124]) ).
fof(f2124,plain,
! [X188,X186,X184,X182] : multiply(inverse(X182),multiply(inverse(X186),multiply(X186,inverse(multiply(multiply(inverse(X184),X188),inverse(multiply(X182,X188))))))) = X184,
inference(forward_demodulation,[],[f2011,f27]) ).
fof(f2011,plain,
! [X188,X186,X187,X184,X182,X185,X183] : multiply(inverse(X182),multiply(inverse(X186),multiply(X186,inverse(multiply(multiply(inverse(multiply(inverse(X187),multiply(X187,inverse(multiply(multiply(inverse(multiply(inverse(X183),X184)),X185),inverse(multiply(X183,X185))))))),X188),inverse(multiply(X182,X188))))))) = X184,
inference(superposition,[],[f27,f187]) ).
fof(f187,plain,
! [X36,X34,X35,X32,X33] : multiply(X32,X33) = multiply(inverse(X35),multiply(X35,inverse(multiply(multiply(inverse(multiply(inverse(X34),multiply(X34,X33))),X36),inverse(multiply(X32,X36)))))),
inference(superposition,[],[f27,f94]) ).
fof(f2934,plain,
! [X448,X443,X447,X446,X445,X444,X449] : multiply(multiply(X443,X444),inverse(multiply(X445,X444))) = multiply(inverse(X447),multiply(inverse(X448),multiply(X448,inverse(multiply(multiply(inverse(multiply(multiply(X443,X446),inverse(multiply(X445,X446)))),X449),inverse(multiply(X447,X449))))))),
inference(superposition,[],[f2124,f2536]) ).
fof(f2536,plain,
! [X11,X14,X15,X13] : inverse(multiply(multiply(X11,X13),inverse(multiply(X14,X13)))) = inverse(multiply(multiply(X11,X15),inverse(multiply(X14,X15)))),
inference(superposition,[],[f2218,f64]) ).
fof(f2218,plain,
! [X10,X14,X12,X13] : inverse(multiply(multiply(inverse(X12),X13),inverse(multiply(X10,X13)))) = inverse(multiply(multiply(inverse(X12),X14),inverse(multiply(X10,X14)))),
inference(superposition,[],[f64,f2124]) ).
fof(f3912,plain,
! [X11,X9,X12] : multiply(inverse(X12),multiply(X12,multiply(X9,inverse(multiply(X11,inverse(X11)))))) = X9,
inference(superposition,[],[f2206,f3855]) ).
fof(f2206,plain,
! [X10,X14,X12,X13] : multiply(inverse(X14),multiply(X14,multiply(X10,inverse(multiply(multiply(inverse(X12),X13),inverse(multiply(inverse(X10),X13))))))) = X12,
inference(superposition,[],[f2124,f157]) ).
fof(f157,plain,
! [X18,X19,X17,X20] : multiply(inverse(X20),multiply(X20,multiply(X17,X18))) = multiply(inverse(inverse(X17)),multiply(inverse(X19),multiply(X19,X18))),
inference(superposition,[],[f94,f94]) ).
fof(f5682,plain,
! [X18,X19] : multiply(inverse(inverse(X19)),multiply(X18,inverse(X18))) = X19,
inference(superposition,[],[f5187,f5498]) ).
fof(f5498,plain,
! [X0,X1] : multiply(X1,inverse(X1)) = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f5457,f5177]) ).
fof(f5177,plain,
! [X11,X9] : inverse(inverse(multiply(X9,inverse(multiply(X11,inverse(X11)))))) = X9,
inference(backward_demodulation,[],[f3912,f5047]) ).
fof(f5457,plain,
! [X107,X105] : multiply(X107,inverse(X107)) = inverse(inverse(inverse(multiply(X105,inverse(X105))))),
inference(forward_demodulation,[],[f5446,f4826]) ).
fof(f5446,plain,
! [X106,X107,X105] : multiply(X107,inverse(X107)) = multiply(inverse(multiply(X105,inverse(X105))),multiply(X106,inverse(X106))),
inference(superposition,[],[f3864,f5266]) ).
fof(f5266,plain,
! [X8,X9] : multiply(X8,inverse(X8)) = inverse(inverse(multiply(X9,inverse(X9)))),
inference(superposition,[],[f5177,f3864]) ).
fof(f5187,plain,
! [X3,X1] : multiply(inverse(inverse(X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(backward_demodulation,[],[f3910,f5047]) ).
fof(f3910,plain,
! [X3,X0,X1] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,inverse(X3)))) = X1,
inference(superposition,[],[f115,f3855]) ).
fof(f115,plain,
! [X14,X15,X12,X13] : multiply(X12,inverse(multiply(multiply(inverse(multiply(inverse(X14),multiply(X14,X13))),X15),inverse(multiply(inverse(X12),X15))))) = X13,
inference(superposition,[],[f1,f79]) ).
fof(f6896,plain,
! [X10,X11] : inverse(inverse(inverse(inverse(multiply(multiply(X10,inverse(X10)),X11))))) = X11,
inference(superposition,[],[f6855,f4826]) ).
fof(f6855,plain,
! [X76,X74] : inverse(multiply(inverse(multiply(X74,X76)),X74)) = X76,
inference(forward_demodulation,[],[f6854,f5734]) ).
fof(f6854,plain,
! [X76,X74] : inverse(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X74)))),X76)),X74)) = X76,
inference(forward_demodulation,[],[f6853,f5734]) ).
fof(f6853,plain,
! [X76,X74] : inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X74)))),X76)),X74)))))) = X76,
inference(forward_demodulation,[],[f6773,f5632]) ).
fof(f5632,plain,
! [X19,X20] : inverse(inverse(X20)) = multiply(X20,inverse(multiply(X19,inverse(X19)))),
inference(superposition,[],[f4826,f5498]) ).
fof(f6773,plain,
! [X76,X74,X75] : inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(X74)))),X76)),X74),inverse(multiply(X75,inverse(X75))))))) = X76,
inference(superposition,[],[f5036,f5789]) ).
fof(f5789,plain,
! [X86,X87] : multiply(X87,inverse(X87)) = multiply(inverse(inverse(inverse(X86))),X86),
inference(superposition,[],[f3864,f5734]) ).
fof(f5036,plain,
! [X2,X4,X5] : inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))))) = X2,
inference(backward_demodulation,[],[f27,f4850]) ).
fof(f4850,plain,
! [X8,X7] : inverse(inverse(inverse(X7))) = multiply(inverse(X8),multiply(X8,inverse(X7))),
inference(superposition,[],[f4826,f94]) ).
fof(f7233,plain,
! [X44,X43] : inverse(inverse(X44)) = multiply(multiply(X43,inverse(X43)),X44),
inference(superposition,[],[f6954,f5047]) ).
fof(f6954,plain,
! [X6,X7] : multiply(inverse(multiply(X6,inverse(X6))),X7) = X7,
inference(forward_demodulation,[],[f6894,f5734]) ).
fof(f6894,plain,
! [X6,X7] : inverse(inverse(inverse(inverse(multiply(inverse(multiply(X6,inverse(X6))),X7))))) = X7,
inference(superposition,[],[f6855,f5632]) ).
fof(f5047,plain,
! [X11,X9] : inverse(inverse(X9)) = multiply(inverse(X11),multiply(X11,X9)),
inference(superposition,[],[f4850,f64]) ).
fof(f13412,plain,
! [X106,X104,X105] : multiply(X104,multiply(X105,multiply(inverse(multiply(X104,X105)),X106))) = X106,
inference(forward_demodulation,[],[f13411,f7312]) ).
fof(f13411,plain,
! [X106,X104,X105] : multiply(X104,multiply(inverse(inverse(X105)),multiply(inverse(multiply(X104,X105)),X106))) = X106,
inference(forward_demodulation,[],[f13220,f7514]) ).
fof(f7514,plain,
! [X51,X52] : multiply(inverse(X51),X52) = inverse(multiply(inverse(X52),X51)),
inference(superposition,[],[f6855,f7451]) ).
fof(f7451,plain,
! [X2,X3] : multiply(X2,multiply(inverse(X2),X3)) = X3,
inference(forward_demodulation,[],[f7450,f6855]) ).
fof(f7450,plain,
! [X2,X3,X0] : multiply(X2,inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X3))),inverse(X0)))) = X3,
inference(forward_demodulation,[],[f7418,f7353]) ).
fof(f7353,plain,
! [X281,X279] : multiply(X279,multiply(X281,inverse(X281))) = X279,
inference(backward_demodulation,[],[f4826,f7312]) ).
fof(f7418,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X2),X3))),multiply(X1,inverse(X1))),inverse(X0)))) = X3,
inference(superposition,[],[f1,f7353]) ).
fof(f13220,plain,
! [X106,X104,X105] : multiply(X104,inverse(multiply(inverse(multiply(inverse(multiply(X104,X105)),X106)),inverse(X105)))) = X106,
inference(superposition,[],[f13141,f8638]) ).
fof(f8638,plain,
! [X58,X59] : multiply(multiply(X58,X59),inverse(X59)) = X58,
inference(forward_demodulation,[],[f8584,f7312]) ).
fof(f8584,plain,
! [X58,X59] : inverse(inverse(X58)) = multiply(multiply(X58,X59),inverse(X59)),
inference(superposition,[],[f7371,f7354]) ).
fof(f7371,plain,
! [X22,X23] : inverse(X23) = multiply(X22,inverse(multiply(X23,X22))),
inference(superposition,[],[f7312,f6893]) ).
fof(f6893,plain,
! [X31,X30] : inverse(multiply(X31,inverse(multiply(X30,X31)))) = X30,
inference(superposition,[],[f6855,f6855]) ).
fof(f13141,plain,
! [X2,X4,X5] : multiply(multiply(X4,X5),inverse(multiply(inverse(multiply(inverse(X4),X2)),X5))) = X2,
inference(forward_demodulation,[],[f13140,f7312]) ).
fof(f13140,plain,
! [X2,X4,X5] : multiply(inverse(inverse(multiply(X4,X5))),inverse(multiply(inverse(multiply(inverse(X4),X2)),X5))) = X2,
inference(forward_demodulation,[],[f7363,f10727]) ).
fof(f10727,plain,
! [X48,X49] : inverse(multiply(X48,X49)) = multiply(inverse(X49),inverse(X48)),
inference(superposition,[],[f7514,f7312]) ).
fof(f7363,plain,
! [X2,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5)))) = X2,
inference(backward_demodulation,[],[f5036,f7312]) ).
fof(f2,axiom,
multiply(a,multiply(b,c)) != multiply(multiply(a,b),c),
file('/export/starexec/sandbox/tmp/tmp.zdXjjiNjib/Vampire---4.8_14539',prove_associativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon Aug 28 23:40:31 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.12/0.31 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.32 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.zdXjjiNjib/Vampire---4.8_14539
% 0.12/0.32 % (14650)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (14651)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.12/0.36 % (14654)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.12/0.36 % (14652)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.12/0.36 % (14655)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.16/0.36 % (14657)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.16/0.37 % (14653)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.16/0.37 % (14656)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.16/0.66 % (14656)First to succeed.
% 0.16/0.66 % (14656)Refutation found. Thanks to Tanya!
% 0.16/0.66 % SZS status Unsatisfiable for Vampire---4
% 0.16/0.66 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.67 % (14656)------------------------------
% 0.16/0.67 % (14656)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.67 % (14656)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.67 % (14656)Termination reason: Refutation
% 0.16/0.67
% 0.16/0.67 % (14656)Memory used [KB]: 18677
% 0.16/0.67 % (14656)Time elapsed: 0.297 s
% 0.16/0.67 % (14656)------------------------------
% 0.16/0.67 % (14656)------------------------------
% 0.16/0.67 % (14650)Success in time 0.346 s
% 0.16/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------