TSTP Solution File: GRP098-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n003.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 15:38:57 EDT 2023
% Result : Unsatisfiable 1.23s 0.62s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 45 ( 33 unt; 0 def)
% Number of atoms : 73 ( 72 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 42 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 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 : 84 (; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8250,plain,
$false,
inference(equality_resolution,[],[f8233]) ).
fof(f8233,plain,
! [X3] : divide(X3,X3) != divide(a1,a1),
inference(superposition,[],[f8232,f146]) ).
fof(f146,plain,
! [X4,X5] : divide(X5,X5) = divide(X4,X4),
inference(superposition,[],[f135,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.Z67zfJkx46/Vampire---4.8_28491',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.Z67zfJkx46/Vampire---4.8_28491',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(f135,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(f8232,plain,
divide(a1,a1) != divide(b1,b1),
inference(trivial_inequality_removal,[],[f8229]) ).
fof(f8229,plain,
( a2 != a2
| divide(a1,a1) != divide(b1,b1) ),
inference(superposition,[],[f7572,f91]) ).
fof(f7572,plain,
( a2 != multiply(divide(b2,b2),a2)
| divide(a1,a1) != divide(b1,b1) ),
inference(trivial_inequality_removal,[],[f7516]) ).
fof(f7516,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != multiply(divide(b2,b2),a2) ),
inference(superposition,[],[f491,f5871]) ).
fof(f5871,plain,
! [X10,X11,X12] : multiply(X11,multiply(X10,X12)) = multiply(X10,multiply(X11,X12)),
inference(superposition,[],[f164,f2462]) ).
fof(f2462,plain,
! [X62,X63,X61] : divide(multiply(X62,multiply(X61,X63)),multiply(X62,X63)) = X61,
inference(forward_demodulation,[],[f2357,f218]) ).
fof(f218,plain,
! [X16,X17,X15] : multiply(X16,multiply(X15,X17)) = multiply(multiply(X15,X16),X17),
inference(superposition,[],[f164,f8]) ).
fof(f2357,plain,
! [X62,X63,X61] : divide(multiply(multiply(X61,X62),X63),multiply(X62,X63)) = X61,
inference(superposition,[],[f167,f73]) ).
fof(f167,plain,
! [X18,X19,X16] : divide(multiply(X18,X19),multiply(divide(X18,X16),X19)) = X16,
inference(backward_demodulation,[],[f56,f145]) ).
fof(f145,plain,
! [X2,X3,X0,X1] : divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)) = divide(X3,X1),
inference(superposition,[],[f135,f22]) ).
fof(f56,plain,
! [X18,X19,X16,X17,X15] : divide(multiply(X18,X19),multiply(divide(multiply(divide(multiply(X15,inverse(X16)),X17),X18),divide(X15,X17)),X19)) = X16,
inference(superposition,[],[f8,f22]) ).
fof(f164,plain,
! [X7,X5] : multiply(divide(X7,X5),X5) = X7,
inference(backward_demodulation,[],[f22,f145]) ).
fof(f491,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| divide(a1,a1) != divide(b1,b1)
| a2 != multiply(divide(b2,b2),a2) ),
inference(forward_demodulation,[],[f490,f476]) ).
fof(f476,plain,
! [X2,X3] : multiply(X2,inverse(X3)) = divide(X2,X3),
inference(superposition,[],[f213,f164]) ).
fof(f213,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f164,f2]) ).
fof(f490,plain,
( divide(a1,a1) != divide(b1,b1)
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(backward_demodulation,[],[f472,f476]) ).
fof(f472,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f471,plain,
( multiply(a4,b4) != multiply(a4,b4)
| a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)) ),
inference(forward_demodulation,[],[f470,f219]) ).
fof(f219,plain,
! [X18,X19] : multiply(X18,X19) = multiply(X19,X18),
inference(superposition,[],[f164,f73]) ).
fof(f470,plain,
( a2 != multiply(multiply(b2,inverse(b2)),a2)
| divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f469,f219]) ).
fof(f469,plain,
( divide(a1,a1) != multiply(b1,inverse(b1))
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(forward_demodulation,[],[f468,f219]) ).
fof(f468,plain,
( multiply(inverse(b1),b1) != divide(a1,a1)
| multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f368,f458]) ).
fof(f458,plain,
! [X2,X3] : divide(X3,X2) = multiply(inverse(X2),X3),
inference(superposition,[],[f135,f70]) ).
fof(f70,plain,
! [X3,X1] : multiply(multiply(inverse(X3),X1),X3) = X1,
inference(forward_demodulation,[],[f69,f2]) ).
fof(f69,plain,
! [X3,X1] : multiply(divide(inverse(X3),inverse(X1)),X3) = X1,
inference(forward_demodulation,[],[f44,f4]) ).
fof(f44,plain,
! [X2,X3,X0,X1] : multiply(divide(inverse(X3),divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
inference(superposition,[],[f22,f22]) ).
fof(f368,plain,
( multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
inference(backward_demodulation,[],[f3,f218]) ).
fof(f3,axiom,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/tmp/tmp.Z67zfJkx46/Vampire---4.8_28491',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP098-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Aug 30 17:31:11 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.41 % (28597)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (28598)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (28599)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (28600)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)
% 0.22/0.42 % (28601)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (28602)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)
% 0.22/0.42 % (28603)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)
% 0.22/0.42 % (28604)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)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.53 TRYING [4]
% 0.22/0.55 TRYING [5]
% 1.23/0.62 % (28603)First to succeed.
% 1.23/0.62 % (28603)Refutation found. Thanks to Tanya!
% 1.23/0.62 % SZS status Unsatisfiable for Vampire---4
% 1.23/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 1.23/0.62 % (28603)------------------------------
% 1.23/0.62 % (28603)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.23/0.62 % (28603)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.23/0.62 % (28603)Termination reason: Refutation
% 1.23/0.62
% 1.23/0.62 % (28603)Memory used [KB]: 7931
% 1.23/0.62 % (28603)Time elapsed: 0.202 s
% 1.23/0.62 % (28603)------------------------------
% 1.23/0.62 % (28603)------------------------------
% 1.23/0.62 % (28597)Success in time 0.24 s
% 1.23/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------