TSTP Solution File: GRP410-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n022.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 : Fri Sep 1 15:54:50 EDT 2023
% Result : Unsatisfiable 3.76s 1.01s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 2
% Syntax : Number of formulae : 31 ( 31 unt; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 93 (; 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15602,plain,
$false,
inference(subsumption_resolution,[],[f15471,f15071]) ).
fof(f15071,plain,
! [X40,X41] : multiply(inverse(multiply(inverse(X40),X40)),X41) = X41,
inference(forward_demodulation,[],[f14802,f79]) ).
fof(f79,plain,
! [X16,X14,X15] : multiply(multiply(multiply(inverse(multiply(X16,inverse(X14))),multiply(X16,inverse(inverse(multiply(inverse(X15),X15))))),inverse(multiply(inverse(inverse(multiply(inverse(X15),X15))),inverse(multiply(inverse(X15),X15))))),inverse(multiply(inverse(X15),X15))) = X14,
inference(superposition,[],[f1,f3]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/tmp/tmp.FkYXvYnz2B/Vampire---4.8_14065',single_axiom) ).
fof(f14802,plain,
! [X40,X41,X39,X42] : multiply(inverse(multiply(inverse(X40),X40)),X41) = multiply(multiply(multiply(inverse(multiply(X39,inverse(X41))),multiply(X39,inverse(inverse(multiply(inverse(X42),X42))))),inverse(multiply(inverse(inverse(multiply(inverse(X42),X42))),inverse(multiply(inverse(X42),X42))))),inverse(multiply(inverse(X42),X42))),
inference(superposition,[],[f79,f6032]) ).
fof(f6032,plain,
! [X116,X117,X115] : inverse(multiply(X115,inverse(multiply(inverse(multiply(inverse(X116),X116)),X117)))) = inverse(multiply(X115,inverse(X117))),
inference(forward_demodulation,[],[f5996,f2069]) ).
fof(f2069,plain,
! [X142,X143,X140,X141] : inverse(X140) = multiply(multiply(inverse(multiply(X142,inverse(multiply(inverse(X141),X141)))),multiply(X142,inverse(X140))),inverse(multiply(inverse(X143),X143))),
inference(superposition,[],[f801,f669]) ).
fof(f669,plain,
! [X3,X1] : multiply(inverse(X3),X3) = multiply(inverse(X1),X1),
inference(superposition,[],[f594,f1]) ).
fof(f594,plain,
! [X2,X3,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))),multiply(X3,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f263,f1]) ).
fof(f263,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),X2)))),multiply(X4,inverse(X3))) = multiply(inverse(X1),multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(X3))),
inference(superposition,[],[f204,f1]) ).
fof(f204,plain,
! [X3,X1,X4,X5] : multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(X1))) = multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(X1))),
inference(superposition,[],[f143,f1]) ).
fof(f143,plain,
! [X48,X46,X49,X47,X45] : multiply(inverse(multiply(X48,inverse(X46))),multiply(X48,inverse(multiply(X45,inverse(X47))))) = multiply(inverse(multiply(X49,inverse(X46))),multiply(X49,inverse(multiply(X45,inverse(X47))))),
inference(superposition,[],[f74,f75]) ).
fof(f75,plain,
! [X8,X6,X7] : multiply(inverse(multiply(X8,inverse(multiply(multiply(X6,inverse(multiply(inverse(X7),X7))),X7)))),multiply(X8,inverse(X7))) = X6,
inference(superposition,[],[f3,f1]) ).
fof(f74,plain,
! [X2,X3,X1,X4] : multiply(inverse(multiply(X4,inverse(multiply(X1,X2)))),multiply(X4,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f3,f3]) ).
fof(f801,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(X2,inverse(multiply(X3,X0)))),multiply(X2,inverse(X0))),inverse(multiply(inverse(X1),X1))) = X3,
inference(superposition,[],[f1,f669]) ).
fof(f5996,plain,
! [X118,X119,X116,X117,X115] : inverse(multiply(X115,inverse(multiply(inverse(multiply(inverse(X116),X116)),X117)))) = multiply(multiply(inverse(multiply(X119,inverse(multiply(inverse(X118),X118)))),multiply(X119,inverse(multiply(X115,inverse(X117))))),inverse(multiply(inverse(multiply(X115,inverse(X117))),multiply(X115,inverse(X117))))),
inference(superposition,[],[f1,f1076]) ).
fof(f1076,plain,
! [X24,X22,X25,X23] : multiply(inverse(X22),X22) = multiply(inverse(multiply(X25,inverse(multiply(inverse(multiply(inverse(X24),X24)),X23)))),multiply(X25,inverse(X23))),
inference(superposition,[],[f75,f948]) ).
fof(f948,plain,
! [X296,X294,X293] : inverse(multiply(inverse(X293),X293)) = multiply(multiply(inverse(X296),X296),inverse(multiply(inverse(X294),X294))),
inference(forward_demodulation,[],[f872,f801]) ).
fof(f872,plain,
! [X295,X296,X294,X293] : inverse(multiply(inverse(X293),X293)) = multiply(multiply(inverse(multiply(multiply(inverse(multiply(X295,inverse(multiply(X296,X293)))),multiply(X295,inverse(X293))),inverse(multiply(inverse(X294),X294)))),X296),inverse(multiply(inverse(X294),X294))),
inference(superposition,[],[f5,f669]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(X3,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f15471,plain,
! [X521] : a2 != multiply(inverse(multiply(inverse(X521),X521)),a2),
inference(superposition,[],[f8772,f15071]) ).
fof(f8772,plain,
! [X16,X15] : a2 != multiply(multiply(inverse(multiply(inverse(X15),X15)),inverse(multiply(inverse(X16),X16))),a2),
inference(superposition,[],[f2296,f7864]) ).
fof(f7864,plain,
! [X3,X1] : inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f7405,f1]) ).
fof(f7405,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X1)))),
inference(forward_demodulation,[],[f7122,f6032]) ).
fof(f7122,plain,
! [X2,X3,X1] : inverse(inverse(multiply(inverse(X3),X3))) = inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),X1)),X1)))),multiply(X2,inverse(X1)))),
inference(superposition,[],[f6123,f3]) ).
fof(f6123,plain,
! [X26,X27,X25] : inverse(inverse(multiply(inverse(X27),X27))) = inverse(multiply(multiply(inverse(X25),X25),inverse(multiply(inverse(X26),X26)))),
inference(superposition,[],[f6032,f948]) ).
fof(f2296,plain,
! [X66,X67] : a2 != multiply(multiply(inverse(inverse(multiply(inverse(X66),X66))),inverse(multiply(inverse(X67),X67))),a2),
inference(superposition,[],[f823,f2111]) ).
fof(f2111,plain,
! [X18,X16,X17] : multiply(X16,inverse(multiply(inverse(X17),X17))) = multiply(X16,inverse(multiply(inverse(X18),X18))),
inference(superposition,[],[f801,f75]) ).
fof(f823,plain,
! [X99] : a2 != multiply(multiply(inverse(X99),X99),a2),
inference(superposition,[],[f2,f669]) ).
fof(f2,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/tmp/tmp.FkYXvYnz2B/Vampire---4.8_14065',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 17:20:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (14229)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (14239)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (14238)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (14237)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (14240)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (14241)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (14242)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (14243)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.47 TRYING [4]
% 1.31/0.60 TRYING [4]
% 3.76/1.00 % (14243)First to succeed.
% 3.76/1.01 % (14243)Refutation found. Thanks to Tanya!
% 3.76/1.01 % SZS status Unsatisfiable for Vampire---4
% 3.76/1.01 % SZS output start Proof for Vampire---4
% See solution above
% 3.76/1.01 % (14243)------------------------------
% 3.76/1.01 % (14243)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.76/1.01 % (14243)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.76/1.01 % (14243)Termination reason: Refutation
% 3.76/1.01
% 3.76/1.01 % (14243)Memory used [KB]: 20852
% 3.76/1.01 % (14243)Time elapsed: 0.580 s
% 3.76/1.01 % (14243)------------------------------
% 3.76/1.01 % (14243)------------------------------
% 3.76/1.01 % (14229)Success in time 0.642 s
% 3.76/1.01 % Vampire---4.8 exiting
%------------------------------------------------------------------------------