TSTP Solution File: GRP098-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP098-1 : 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 : n010.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 01:21:23 EDT 2023
% Result : Unsatisfiable 0.24s 0.48s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 31 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 31 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 83 (; 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1431,plain,
$false,
inference(equality_resolution,[],[f1421]) ).
fof(f1421,plain,
! [X0] : divide(X0,X0) != divide(a1,a1),
inference(superposition,[],[f1348,f148]) ).
fof(f148,plain,
! [X4,X5] : divide(X5,X5) = divide(X4,X4),
inference(superposition,[],[f137,f91]) ).
fof(f91,plain,
! [X18,X19] : multiply(divide(X18,X18),X19) = X19,
inference(superposition,[],[f77,f73]) ).
fof(f73,plain,
! [X3,X1] : divide(multiply(X3,X1),X3) = X1,
inference(forward_demodulation,[],[f72,f2]) ).
fof(f2,axiom,
! [X0,X1] : divide(X0,inverse(X1)) = multiply(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.Isol0BKoE9/Vampire---4.8_12784',multiply) ).
fof(f72,plain,
! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f53,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.Isol0BKoE9/Vampire---4.8_12784',single_axiom) ).
fof(f53,plain,
! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f7,f22]) ).
fof(f22,plain,
! [X6,X7,X4,X5] : multiply(divide(multiply(divide(multiply(X4,inverse(X5)),X6),X7),divide(X4,X6)),X5) = X7,
inference(superposition,[],[f7,f2]) ).
fof(f7,plain,
! [X3,X6,X4,X5] : divide(divide(multiply(divide(multiply(X3,X4),X5),X6),divide(X3,X5)),X4) = X6,
inference(superposition,[],[f4,f4]) ).
fof(f77,plain,
! [X3,X4] : divide(X4,divide(X3,X3)) = X4,
inference(superposition,[],[f4,f73]) ).
fof(f137,plain,
! [X14,X15] : divide(multiply(X14,X15),X15) = X14,
inference(forward_demodulation,[],[f121,f91]) ).
fof(f121,plain,
! [X14,X15,X13] : divide(multiply(X14,X15),multiply(divide(X13,X13),X15)) = X14,
inference(superposition,[],[f8,f91]) ).
fof(f8,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f4,f2]) ).
fof(f1348,plain,
divide(b1,b1) != divide(a1,a1),
inference(trivial_inequality_removal,[],[f1332]) ).
fof(f1332,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| divide(b1,b1) != divide(a1,a1) ),
inference(superposition,[],[f294,f906]) ).
fof(f906,plain,
! [X3,X4,X5] : multiply(X4,multiply(X3,X5)) = multiply(X3,multiply(X4,X5)),
inference(forward_demodulation,[],[f889,f220]) ).
fof(f220,plain,
! [X16,X17,X15] : multiply(X16,multiply(X15,X17)) = multiply(multiply(X15,X16),X17),
inference(superposition,[],[f166,f8]) ).
fof(f166,plain,
! [X7,X5] : multiply(divide(X7,X5),X5) = X7,
inference(backward_demodulation,[],[f22,f147]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)) = divide(X3,X1),
inference(superposition,[],[f137,f22]) ).
fof(f889,plain,
! [X3,X4,X5] : multiply(X4,multiply(X3,X5)) = multiply(multiply(X4,X3),X5),
inference(superposition,[],[f220,f280]) ).
fof(f280,plain,
! [X14,X12] : multiply(X14,X12) = multiply(X12,X14),
inference(forward_demodulation,[],[f279,f73]) ).
fof(f279,plain,
! [X11,X14,X12,X13] : multiply(X14,X12) = divide(multiply(multiply(X11,X13),multiply(X12,X14)),multiply(X11,X13)),
inference(forward_demodulation,[],[f272,f220]) ).
fof(f272,plain,
! [X11,X14,X12,X13] : multiply(X14,X12) = divide(multiply(multiply(X12,multiply(X11,X13)),X14),multiply(X11,X13)),
inference(backward_demodulation,[],[f219,f220]) ).
fof(f219,plain,
! [X11,X14,X12,X13] : divide(multiply(multiply(multiply(X11,X12),X13),X14),multiply(X11,X13)) = multiply(X14,X12),
inference(superposition,[],[f166,f11]) ).
fof(f11,plain,
! [X3,X6,X4,X5] : divide(divide(multiply(multiply(multiply(X3,X4),X5),X6),multiply(X3,X5)),X4) = X6,
inference(superposition,[],[f4,f8]) ).
fof(f294,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| divide(b1,b1) != divide(a1,a1) ),
inference(forward_demodulation,[],[f293,f235]) ).
fof(f235,plain,
! [X3,X1] : divide(X3,X1) = multiply(X3,inverse(X1)),
inference(backward_demodulation,[],[f147,f218]) ).
fof(f218,plain,
! [X10,X8,X9,X7] : divide(multiply(divide(multiply(X7,X8),X9),X10),divide(X7,X9)) = multiply(X10,X8),
inference(superposition,[],[f166,f7]) ).
fof(f293,plain,
( divide(b1,b1) != multiply(a1,inverse(a1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(forward_demodulation,[],[f292,f280]) ).
fof(f292,plain,
( multiply(inverse(a1),a1) != divide(b1,b1)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(forward_demodulation,[],[f291,f235]) ).
fof(f291,plain,
( multiply(inverse(a1),a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(forward_demodulation,[],[f290,f280]) ).
fof(f290,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(trivial_inequality_removal,[],[f289]) ).
fof(f289,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(forward_demodulation,[],[f275,f280]) ).
fof(f275,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(backward_demodulation,[],[f136,f220]) ).
fof(f136,plain,
( 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(trivial_inequality_removal,[],[f135]) ).
fof(f135,plain,
( a2 != 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,[],[f3,f115]) ).
fof(f115,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f91,f2]) ).
fof(f3,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.Isol0BKoE9/Vampire---4.8_12784',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.16/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n010.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Tue Aug 29 00:30:04 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.Isol0BKoE9/Vampire---4.8_12784
% 0.16/0.38 % (12977)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (12985)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)
% 0.24/0.44 % (12978)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)
% 0.24/0.44 % (12979)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)
% 0.24/0.44 % (12982)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)
% 0.24/0.44 % (12983)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)
% 0.24/0.44 % (12984)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)
% 0.24/0.44 % (12986)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)
% 0.24/0.44 % (12984)Refutation not found, incomplete strategy% (12984)------------------------------
% 0.24/0.44 % (12984)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.44 % (12984)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.44 % (12984)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.44
% 0.24/0.44 % (12984)Memory used [KB]: 895
% 0.24/0.44 % (12984)Time elapsed: 0.003 s
% 0.24/0.44 % (12984)------------------------------
% 0.24/0.44 % (12984)------------------------------
% 0.24/0.48 % (12983)First to succeed.
% 0.24/0.48 % (12979)Also succeeded, but the first one will report.
% 0.24/0.48 % (12983)Refutation found. Thanks to Tanya!
% 0.24/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.24/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.48 % (12983)------------------------------
% 0.24/0.48 % (12983)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.48 % (12983)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.48 % (12983)Termination reason: Refutation
% 0.24/0.48
% 0.24/0.48 % (12983)Memory used [KB]: 1663
% 0.24/0.48 % (12983)Time elapsed: 0.041 s
% 0.24/0.48 % (12983)------------------------------
% 0.24/0.48 % (12983)------------------------------
% 0.24/0.48 % (12977)Success in time 0.097 s
% 0.24/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------