TSTP Solution File: RNG025-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG025-6 : 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 : 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 : Thu Aug 31 13:59:40 EDT 2023
% Result : Unsatisfiable 2.85s 0.78s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% 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 : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 195 (; 195 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17187,plain,
$false,
inference(trivial_inequality_removal,[],[f17186]) ).
fof(f17186,plain,
additive_identity != additive_identity,
inference(superposition,[],[f16,f16978]) ).
fof(f16978,plain,
! [X0,X1] : additive_identity = associator(X0,X1,X0),
inference(forward_demodulation,[],[f16890,f16583]) ).
fof(f16583,plain,
! [X41,X42,X43] : associator(X41,X42,X43) = associator(X41,X42,add(X43,X42)),
inference(forward_demodulation,[],[f16421,f2]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',right_additive_identity) ).
fof(f16421,plain,
! [X41,X42,X43] : associator(X41,X42,add(X43,X42)) = add(associator(X41,X42,X43),additive_identity),
inference(superposition,[],[f3607,f3892]) ).
fof(f3892,plain,
! [X10,X9] : additive_identity = associator(X9,X10,X10),
inference(superposition,[],[f3879,f1]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',left_additive_identity) ).
fof(f3879,plain,
! [X26,X27,X25] : add(X27,associator(X25,X26,X26)) = X27,
inference(forward_demodulation,[],[f3878,f52]) ).
fof(f52,plain,
! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f44,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',associativity_for_addition) ).
fof(f44,plain,
! [X0,X1] : add(add(X0,additive_inverse(X0)),X1) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',right_additive_inverse) ).
fof(f3878,plain,
! [X26,X27,X25] : add(X27,associator(X25,X26,X26)) = add(multiply(X25,multiply(X26,X26)),add(additive_inverse(multiply(X25,multiply(X26,X26))),X27)),
inference(forward_demodulation,[],[f3830,f280]) ).
fof(f280,plain,
! [X3,X4,X5] : add(X3,add(X4,X5)) = add(X5,add(X3,X4)),
inference(superposition,[],[f11,f10]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',commutativity_for_addition) ).
fof(f3830,plain,
! [X26,X27,X25] : add(X27,associator(X25,X26,X26)) = add(additive_inverse(multiply(X25,multiply(X26,X26))),add(X27,multiply(X25,multiply(X26,X26)))),
inference(superposition,[],[f289,f3532]) ).
fof(f3532,plain,
! [X0,X1] : multiply(X0,multiply(X1,X1)) = add(associator(X0,X1,X1),multiply(X0,multiply(X1,X1))),
inference(backward_demodulation,[],[f12,f3531]) ).
fof(f3531,plain,
! [X6,X7,X5] : multiply(multiply(X5,X6),X7) = add(associator(X5,X6,X7),multiply(X5,multiply(X6,X7))),
inference(forward_demodulation,[],[f3436,f10]) ).
fof(f3436,plain,
! [X6,X7,X5] : multiply(multiply(X5,X6),X7) = add(multiply(X5,multiply(X6,X7)),associator(X5,X6,X7)),
inference(superposition,[],[f107,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',associator) ).
fof(f107,plain,
! [X3,X4] : add(X3,add(X4,additive_inverse(X3))) = X4,
inference(forward_demodulation,[],[f99,f11]) ).
fof(f99,plain,
! [X3,X4] : add(add(X3,X4),additive_inverse(X3)) = X4,
inference(superposition,[],[f34,f10]) ).
fof(f34,plain,
! [X6,X7] : add(additive_inverse(X6),add(X6,X7)) = X7,
inference(forward_demodulation,[],[f23,f11]) ).
fof(f23,plain,
! [X6,X7] : add(add(additive_inverse(X6),X6),X7) = X7,
inference(superposition,[],[f1,f5]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',left_additive_inverse) ).
fof(f12,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',right_alternative) ).
fof(f289,plain,
! [X2,X0,X1] : add(X0,X1) = add(additive_inverse(X2),add(X0,add(X1,X2))),
inference(superposition,[],[f92,f11]) ).
fof(f92,plain,
! [X2,X1] : add(additive_inverse(X1),add(X2,X1)) = X2,
inference(superposition,[],[f34,f10]) ).
fof(f3607,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),associator(X6,X7,X9)),
inference(forward_demodulation,[],[f3606,f33]) ).
fof(f33,plain,
! [X4,X5] : add(X5,add(X4,additive_inverse(X4))) = X5,
inference(forward_demodulation,[],[f22,f10]) ).
fof(f22,plain,
! [X4,X5] : add(X5,add(additive_inverse(X4),X4)) = X5,
inference(superposition,[],[f2,f5]) ).
fof(f3606,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(associator(X6,X7,X9),add(multiply(X6,multiply(X7,X9)),additive_inverse(multiply(X6,multiply(X7,X9)))))),
inference(forward_demodulation,[],[f3605,f11]) ).
fof(f3605,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(add(associator(X6,X7,X9),multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X9))))),
inference(forward_demodulation,[],[f3604,f3531]) ).
fof(f3604,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(multiply(multiply(X6,X7),X9),additive_inverse(multiply(X6,multiply(X7,X9))))),
inference(forward_demodulation,[],[f3603,f301]) ).
fof(f301,plain,
! [X36,X34,X35] : add(X34,X35) = add(X36,add(X34,add(X35,additive_inverse(X36)))),
inference(superposition,[],[f107,f11]) ).
fof(f3603,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(multiply(X6,multiply(X7,X8)),add(multiply(multiply(X6,X7),X9),add(additive_inverse(multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X8))))))),
inference(forward_demodulation,[],[f3545,f11]) ).
fof(f3545,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(add(associator(X6,X7,X8),multiply(X6,multiply(X7,X8))),add(multiply(multiply(X6,X7),X9),add(additive_inverse(multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X8)))))),
inference(backward_demodulation,[],[f3484,f3531]) ).
fof(f3484,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),add(additive_inverse(multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X8)))))),
inference(forward_demodulation,[],[f3483,f241]) ).
fof(f241,plain,
! [X6,X5] : additive_inverse(add(X6,X5)) = add(additive_inverse(X5),additive_inverse(X6)),
inference(superposition,[],[f34,f156]) ).
fof(f156,plain,
! [X12,X13] : additive_inverse(X12) = add(X13,additive_inverse(add(X12,X13))),
inference(forward_demodulation,[],[f138,f10]) ).
fof(f138,plain,
! [X12,X13] : additive_inverse(X12) = add(additive_inverse(add(X12,X13)),X13),
inference(superposition,[],[f92,f34]) ).
fof(f3483,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),additive_inverse(add(multiply(X6,multiply(X7,X8)),multiply(X6,multiply(X7,X9)))))),
inference(forward_demodulation,[],[f3482,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',distribute1) ).
fof(f3482,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),additive_inverse(multiply(X6,add(multiply(X7,X8),multiply(X7,X9)))))),
inference(forward_demodulation,[],[f3481,f8]) ).
fof(f3481,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),additive_inverse(multiply(X6,multiply(X7,add(X8,X9)))))),
inference(forward_demodulation,[],[f3418,f11]) ).
fof(f3418,plain,
! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(add(multiply(multiply(X6,X7),X8),multiply(multiply(X6,X7),X9)),additive_inverse(multiply(X6,multiply(X7,add(X8,X9))))),
inference(superposition,[],[f14,f8]) ).
fof(f16890,plain,
! [X0,X1] : additive_identity = associator(X0,X1,add(X0,X1)),
inference(superposition,[],[f13429,f3892]) ).
fof(f13429,plain,
! [X2,X0,X1] : associator(X0,X2,X1) = associator(X0,add(X0,X2),X1),
inference(forward_demodulation,[],[f13327,f1]) ).
fof(f13327,plain,
! [X2,X0,X1] : associator(X0,add(X0,X2),X1) = add(additive_identity,associator(X0,X2,X1)),
inference(superposition,[],[f3597,f4438]) ).
fof(f4438,plain,
! [X11,X12] : additive_identity = associator(X11,X11,X12),
inference(superposition,[],[f4420,f1]) ).
fof(f4420,plain,
! [X28,X26,X27] : add(X28,associator(X26,X26,X27)) = X28,
inference(forward_demodulation,[],[f4419,f52]) ).
fof(f4419,plain,
! [X28,X26,X27] : add(X28,associator(X26,X26,X27)) = add(multiply(X26,multiply(X26,X27)),add(additive_inverse(multiply(X26,multiply(X26,X27))),X28)),
inference(forward_demodulation,[],[f4375,f280]) ).
fof(f4375,plain,
! [X28,X26,X27] : add(X28,associator(X26,X26,X27)) = add(additive_inverse(multiply(X26,multiply(X26,X27))),add(X28,multiply(X26,multiply(X26,X27)))),
inference(superposition,[],[f289,f3533]) ).
fof(f3533,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = add(associator(X0,X0,X1),multiply(X0,multiply(X0,X1))),
inference(backward_demodulation,[],[f13,f3531]) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',left_alternative) ).
fof(f3597,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),associator(X2,X4,X5)),
inference(forward_demodulation,[],[f3596,f33]) ).
fof(f3596,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(associator(X2,X4,X5),add(multiply(X2,multiply(X4,X5)),additive_inverse(multiply(X2,multiply(X4,X5)))))),
inference(forward_demodulation,[],[f3595,f11]) ).
fof(f3595,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(add(associator(X2,X4,X5),multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X4,X5))))),
inference(forward_demodulation,[],[f3594,f3531]) ).
fof(f3594,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(multiply(multiply(X2,X4),X5),additive_inverse(multiply(X2,multiply(X4,X5))))),
inference(forward_demodulation,[],[f3593,f301]) ).
fof(f3593,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(multiply(X2,multiply(X3,X5)),add(multiply(multiply(X2,X4),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5))))))),
inference(forward_demodulation,[],[f3543,f11]) ).
fof(f3543,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(add(associator(X2,X3,X5),multiply(X2,multiply(X3,X5))),add(multiply(multiply(X2,X4),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5)))))),
inference(backward_demodulation,[],[f3458,f3531]) ).
fof(f3458,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(multiply(X2,X3),X5),add(multiply(multiply(X2,X4),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5)))))),
inference(forward_demodulation,[],[f3457,f11]) ).
fof(f3457,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(add(multiply(multiply(X2,X3),X5),multiply(multiply(X2,X4),X5)),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5))))),
inference(forward_demodulation,[],[f3456,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',distribute2) ).
fof(f3456,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5))))),
inference(forward_demodulation,[],[f3455,f241]) ).
fof(f3455,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5))))),
inference(forward_demodulation,[],[f3454,f8]) ).
fof(f3454,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(multiply(X2,add(multiply(X3,X5),multiply(X4,X5))))),
inference(forward_demodulation,[],[f3408,f9]) ).
fof(f3408,plain,
! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(multiply(X2,multiply(add(X3,X4),X5)))),
inference(superposition,[],[f14,f8]) ).
fof(f16,axiom,
additive_identity != associator(x,y,x),
file('/export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364',prove_flexible_law) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG025-6 : TPTP v8.1.2. Released v1.0.0.
% 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 : Sun Aug 27 02:36:25 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.M8BLOdgdzg/Vampire---4.8_23364
% 0.15/0.37 % (23499)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (23504)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.22/0.43 % (23506)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.43 % (23503)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.22/0.43 % (23505)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.22/0.43 % (23507)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.22/0.43 % (23502)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.22/0.43 % (23508)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 2.85/0.77 % (23508)First to succeed.
% 2.85/0.78 % (23508)Refutation found. Thanks to Tanya!
% 2.85/0.78 % SZS status Unsatisfiable for Vampire---4
% 2.85/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 2.85/0.78 % (23508)------------------------------
% 2.85/0.78 % (23508)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.85/0.78 % (23508)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.85/0.78 % (23508)Termination reason: Refutation
% 2.85/0.78
% 2.85/0.78 % (23508)Memory used [KB]: 18805
% 2.85/0.78 % (23508)Time elapsed: 0.347 s
% 2.85/0.78 % (23508)------------------------------
% 2.85/0.78 % (23508)------------------------------
% 2.85/0.78 % (23499)Success in time 0.396 s
% 2.85/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------