TSTP Solution File: GRP094-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n011.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 01:21:22 EDT 2023
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 39 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 31 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 73 (; 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1032,plain,
$false,
inference(trivial_inequality_removal,[],[f1031]) ).
fof(f1031,plain,
multiply(a4,b4) != multiply(a4,b4),
inference(forward_demodulation,[],[f1030,f149]) ).
fof(f149,plain,
! [X2,X1] : multiply(X1,X2) = multiply(X2,X1),
inference(forward_demodulation,[],[f142,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789',multiply) ).
fof(f142,plain,
! [X2,X1] : multiply(X1,X2) = divide(X2,inverse(X1)),
inference(superposition,[],[f117,f73]) ).
fof(f73,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f63,f3]) ).
fof(f63,plain,
! [X0] : inverse(divide(identity,X0)) = X0,
inference(superposition,[],[f41,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789',identity) ).
fof(f41,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f40,f3]) ).
fof(f40,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f30,f8]) ).
fof(f8,plain,
identity = inverse(identity),
inference(superposition,[],[f3,f4]) ).
fof(f30,plain,
! [X0,X1] : divide(inverse(identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f7,plain,
! [X2,X0,X1] : divide(inverse(divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789',single_axiom) ).
fof(f117,plain,
! [X3,X4] : divide(X3,X4) = multiply(inverse(X4),X3),
inference(superposition,[],[f44,f74]) ).
fof(f74,plain,
! [X2,X3] : divide(X2,divide(X2,X3)) = X3,
inference(backward_demodulation,[],[f49,f73]) ).
fof(f49,plain,
! [X2,X3] : divide(inverse(inverse(X2)),divide(X2,X3)) = X3,
inference(backward_demodulation,[],[f31,f46]) ).
fof(f46,plain,
! [X1] : divide(X1,identity) = X1,
inference(forward_demodulation,[],[f38,f41]) ).
fof(f38,plain,
! [X0,X1] : divide(inverse(divide(divide(X0,X1),X0)),identity) = X1,
inference(superposition,[],[f7,f4]) ).
fof(f31,plain,
! [X2,X3] : divide(inverse(inverse(X2)),divide(divide(X2,X3),identity)) = X3,
inference(superposition,[],[f7,f3]) ).
fof(f44,plain,
! [X0,X1] : multiply(inverse(divide(X1,X0)),X1) = X0,
inference(forward_demodulation,[],[f43,f6]) ).
fof(f43,plain,
! [X0,X1] : divide(inverse(divide(X1,X0)),inverse(X1)) = X0,
inference(forward_demodulation,[],[f34,f3]) ).
fof(f34,plain,
! [X0,X1] : divide(inverse(divide(X1,X0)),divide(identity,X1)) = X0,
inference(superposition,[],[f7,f4]) ).
fof(f1030,plain,
multiply(a4,b4) != multiply(b4,a4),
inference(trivial_inequality_removal,[],[f1023]) ).
fof(f1023,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f77,f1022]) ).
fof(f1022,plain,
! [X28,X29,X30] : multiply(multiply(X28,X29),X30) = multiply(X28,multiply(X29,X30)),
inference(forward_demodulation,[],[f1021,f6]) ).
fof(f1021,plain,
! [X28,X29,X30] : multiply(multiply(X28,X29),X30) = divide(X28,inverse(multiply(X29,X30))),
inference(forward_demodulation,[],[f972,f174]) ).
fof(f174,plain,
! [X8,X7] : inverse(multiply(X7,X8)) = divide(inverse(X8),X7),
inference(superposition,[],[f85,f95]) ).
fof(f95,plain,
! [X8,X9] : inverse(X9) = divide(X8,multiply(X8,X9)),
inference(superposition,[],[f74,f6]) ).
fof(f85,plain,
! [X0,X1] : inverse(X1) = divide(divide(X0,X1),X0),
inference(superposition,[],[f73,f41]) ).
fof(f972,plain,
! [X28,X29,X30] : multiply(multiply(X28,X29),X30) = divide(X28,divide(inverse(X30),X29)),
inference(superposition,[],[f593,f6]) ).
fof(f593,plain,
! [X6,X4,X5] : divide(X6,divide(X4,X5)) = divide(multiply(X6,X5),X4),
inference(forward_demodulation,[],[f561,f6]) ).
fof(f561,plain,
! [X6,X4,X5] : divide(X6,divide(X4,X5)) = divide(divide(X6,inverse(X5)),X4),
inference(superposition,[],[f110,f85]) ).
fof(f110,plain,
! [X2,X3,X1] : divide(X1,X2) = divide(divide(X1,divide(X2,X3)),X3),
inference(forward_demodulation,[],[f98,f94]) ).
fof(f94,plain,
! [X3,X4,X5] : divide(divide(X4,X5),X3) = divide(inverse(divide(X3,X4)),X5),
inference(superposition,[],[f74,f7]) ).
fof(f98,plain,
! [X2,X3,X1] : divide(X1,X2) = divide(inverse(divide(X3,X1)),divide(X2,X3)),
inference(superposition,[],[f7,f74]) ).
fof(f77,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f76]) ).
fof(f76,plain,
( a2 != a2
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f19,f73]) ).
fof(f19,plain,
( a2 != inverse(inverse(a2))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f18,f12]) ).
fof(f12,plain,
! [X3] : inverse(inverse(X3)) = multiply(identity,X3),
inference(superposition,[],[f6,f3]) ).
fof(f18,plain,
( a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f17]) ).
fof(f17,plain,
( identity != identity
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f16,f11]) ).
fof(f11,plain,
! [X2] : identity = multiply(inverse(X2),X2),
inference(superposition,[],[f6,f4]) ).
fof(f16,plain,
( identity != multiply(inverse(a1),a1)
| a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f15,f11]) ).
fof(f15,plain,
( a2 != multiply(identity,a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f11]) ).
fof(f5,axiom,
( multiply(a4,b4) != multiply(b4,a4)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : n011.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 : Tue Aug 29 01:39:11 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789
% 0.15/0.37 % (21896)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (21899)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.43 % (21900)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.43 % (21902)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.43 % (21898)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.43 % (21901)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.43 % (21897)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.43 % (21903)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.43 % (21901)Refutation not found, incomplete strategy% (21901)------------------------------
% 0.21/0.43 % (21901)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (21901)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (21901)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43 % (21901)Memory used [KB]: 895
% 0.21/0.43 % (21901)Time elapsed: 0.004 s
% 0.21/0.43 % (21901)------------------------------
% 0.21/0.43 % (21901)------------------------------
% 0.21/0.45 % (21900)First to succeed.
% 0.21/0.45 % (21900)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.45 % (21900)------------------------------
% 0.21/0.45 % (21900)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (21900)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (21900)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (21900)Memory used [KB]: 1407
% 0.21/0.45 % (21900)Time elapsed: 0.022 s
% 0.21/0.45 % (21900)------------------------------
% 0.21/0.45 % (21900)------------------------------
% 0.21/0.45 % (21896)Success in time 0.079 s
% 0.21/0.45 21897 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.uwMz2X9s8t/Vampire---4.8_21789
% 0.21/0.45 % (21897)------------------------------
% 0.21/0.45 % (21897)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.45 % (21897)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.45 % (21897)Termination reason: Unknown
% 0.21/0.45 % (21897)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (21897)Memory used [KB]: 5373
% 0.21/0.45 % (21897)Time elapsed: 0.024 s
% 0.21/0.45 % (21897)------------------------------
% 0.21/0.45 % (21897)------------------------------
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------