TSTP Solution File: GRP406-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP406-1 : 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 : n001.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 01:23:49 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 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 : 55 (; 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3192,plain,
$false,
inference(subsumption_resolution,[],[f2999,f2654]) ).
fof(f2654,plain,
! [X62,X61] : multiply(inverse(X61),X61) = multiply(inverse(X62),X62),
inference(superposition,[],[f2527,f2443]) ).
fof(f2443,plain,
! [X14,X15,X13] : multiply(inverse(multiply(inverse(multiply(X14,X15)),multiply(X14,inverse(X13)))),multiply(inverse(X15),multiply(inverse(X15),X15))) = X13,
inference(forward_demodulation,[],[f2371,f234]) ).
fof(f234,plain,
! [X14,X15,X12,X13] : multiply(inverse(X12),X13) = multiply(inverse(multiply(X15,X12)),multiply(X15,inverse(multiply(inverse(multiply(X14,X13)),multiply(X14,multiply(inverse(X12),X12)))))),
inference(superposition,[],[f12,f111]) ).
fof(f111,plain,
! [X2,X3,X4,X5] : multiply(inverse(multiply(X4,X2)),multiply(X4,X3)) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)),
inference(superposition,[],[f51,f51]) ).
fof(f51,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X3)),multiply(inverse(multiply(X0,X1)),X2)) = multiply(inverse(multiply(X4,X3)),multiply(X4,X2)),
inference(superposition,[],[f23,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
file('/export/starexec/sandbox2/tmp/tmp.5VhPzPOHtp/Vampire---4.8_30035',single_axiom) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3) = multiply(inverse(multiply(X4,X2)),multiply(X4,multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))))),
inference(superposition,[],[f12,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))) = multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1))))),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X3),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f2371,plain,
! [X16,X14,X17,X15,X13] : multiply(inverse(multiply(X17,multiply(inverse(multiply(X14,X15)),multiply(X14,inverse(X13))))),multiply(X17,inverse(multiply(inverse(multiply(X16,multiply(inverse(X15),multiply(inverse(X15),X15)))),multiply(X16,multiply(inverse(multiply(inverse(multiply(X14,X15)),multiply(X14,inverse(X13)))),multiply(inverse(multiply(X14,X15)),multiply(X14,inverse(X13))))))))) = X13,
inference(superposition,[],[f12,f327]) ).
fof(f327,plain,
! [X10,X11,X8,X9,X7] : multiply(inverse(multiply(X11,multiply(inverse(X8),multiply(inverse(X8),X8)))),multiply(X11,X10)) = multiply(X9,multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X7,X9))),X10)),
inference(superposition,[],[f51,f177]) ).
fof(f177,plain,
! [X78,X79,X77] : inverse(multiply(inverse(multiply(inverse(multiply(X79,X77)),multiply(X79,X78))),multiply(inverse(X77),multiply(inverse(X77),X77)))) = X78,
inference(forward_demodulation,[],[f146,f1]) ).
fof(f146,plain,
! [X78,X79,X76,X77,X75] : multiply(X75,inverse(multiply(inverse(multiply(inverse(multiply(X75,X76)),X78)),multiply(inverse(X76),multiply(inverse(X76),X76))))) = inverse(multiply(inverse(multiply(inverse(multiply(X79,X77)),multiply(X79,X78))),multiply(inverse(X77),multiply(inverse(X77),X77)))),
inference(superposition,[],[f4,f51]) ).
fof(f2527,plain,
! [X72,X73,X74] : multiply(inverse(X73),X73) = multiply(inverse(multiply(X74,multiply(inverse(X72),multiply(inverse(X72),X72)))),multiply(X74,multiply(inverse(X72),multiply(inverse(X72),X72)))),
inference(superposition,[],[f327,f2443]) ).
fof(f2999,plain,
! [X254] : multiply(inverse(a1),a1) != multiply(inverse(X254),X254),
inference(superposition,[],[f2,f2654]) ).
fof(f2,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/tmp/tmp.5VhPzPOHtp/Vampire---4.8_30035',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP406-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:37:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.5VhPzPOHtp/Vampire---4.8_30035
% 0.14/0.36 % (30173)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (30174)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)
% 0.22/0.42 % (30176)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.42 % (30178)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.22/0.42 % (30179)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)
% 0.22/0.42 % (30175)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)
% 0.22/0.42 % (30180)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.22/0.42 % (30177)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.22/0.53 % (30179)First to succeed.
% 0.22/0.53 % (30179)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.53 % (30179)------------------------------
% 0.22/0.53 % (30179)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.53 % (30179)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.53 % (30179)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (30179)Memory used [KB]: 6012
% 0.22/0.53 % (30179)Time elapsed: 0.114 s
% 0.22/0.53 % (30179)------------------------------
% 0.22/0.53 % (30179)------------------------------
% 0.22/0.53 % (30173)Success in time 0.172 s
% 0.22/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------