TSTP Solution File: GRP094-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n014.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 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 52 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 20 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 97 (; 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8609,plain,
$false,
inference(trivial_inequality_removal,[],[f8608]) ).
fof(f8608,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[],[f8484,f315]) ).
fof(f315,plain,
! [X4,X5] : multiply(X4,X5) = multiply(X5,X4),
inference(superposition,[],[f295,f236]) ).
fof(f236,plain,
! [X16,X17] : divide(multiply(X16,X17),X16) = X17,
inference(forward_demodulation,[],[f215,f63]) ).
fof(f63,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(superposition,[],[f54,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.TlKiIKk9u0/Vampire---4.8_13821',inverse) ).
fof(f54,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[],[f44,f3]) ).
fof(f44,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(superposition,[],[f40,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.TlKiIKk9u0/Vampire---4.8_13821',identity) ).
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.TlKiIKk9u0/Vampire---4.8_13821',single_axiom) ).
fof(f215,plain,
! [X16,X17] : inverse(inverse(X17)) = divide(multiply(X16,X17),X16),
inference(superposition,[],[f125,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/tmp/tmp.TlKiIKk9u0/Vampire---4.8_13821',multiply) ).
fof(f125,plain,
! [X6,X7] : inverse(X7) = divide(divide(X6,X7),X6),
inference(forward_demodulation,[],[f116,f3]) ).
fof(f116,plain,
! [X6,X7] : divide(identity,X7) = divide(divide(X6,X7),X6),
inference(superposition,[],[f111,f40]) ).
fof(f111,plain,
! [X8,X7] : divide(X7,divide(X7,X8)) = X8,
inference(forward_demodulation,[],[f110,f63]) ).
fof(f110,plain,
! [X8,X7] : divide(inverse(inverse(X7)),divide(X7,X8)) = X8,
inference(forward_demodulation,[],[f106,f3]) ).
fof(f106,plain,
! [X8,X7] : divide(inverse(divide(identity,X7)),divide(X7,X8)) = X8,
inference(superposition,[],[f7,f87]) ).
fof(f87,plain,
! [X1] : divide(X1,identity) = X1,
inference(superposition,[],[f57,f63]) ).
fof(f57,plain,
! [X3] : inverse(inverse(divide(X3,identity))) = X3,
inference(forward_demodulation,[],[f50,f56]) ).
fof(f56,plain,
! [X8,X7] : divide(divide(X7,X8),X7) = inverse(divide(X8,identity)),
inference(forward_demodulation,[],[f48,f3]) ).
fof(f48,plain,
! [X8,X7] : divide(divide(X7,X8),X7) = divide(identity,divide(X8,identity)),
inference(superposition,[],[f40,f40]) ).
fof(f50,plain,
! [X2,X3] : inverse(divide(divide(X2,X3),X2)) = X3,
inference(superposition,[],[f40,f3]) ).
fof(f295,plain,
! [X4,X5] : multiply(divide(X4,X5),X5) = X4,
inference(forward_demodulation,[],[f283,f76]) ).
fof(f76,plain,
! [X2,X3] : multiply(X3,inverse(X2)) = divide(X3,X2),
inference(superposition,[],[f6,f63]) ).
fof(f283,plain,
! [X4,X5] : multiply(multiply(X4,inverse(X5)),X5) = X4,
inference(superposition,[],[f261,f6]) ).
fof(f261,plain,
! [X2,X3] : divide(multiply(X2,X3),X3) = X2,
inference(superposition,[],[f111,f236]) ).
fof(f8484,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(superposition,[],[f4264,f6413]) ).
fof(f6413,plain,
! [X106,X104,X105] : multiply(multiply(X106,X105),X104) = multiply(X106,multiply(X104,X105)),
inference(forward_demodulation,[],[f6412,f6]) ).
fof(f6412,plain,
! [X106,X104,X105] : divide(X106,inverse(multiply(X104,X105))) = multiply(multiply(X106,X105),X104),
inference(forward_demodulation,[],[f6411,f6]) ).
fof(f6411,plain,
! [X106,X104,X105] : divide(X106,inverse(multiply(X104,X105))) = divide(multiply(X106,X105),inverse(X104)),
inference(forward_demodulation,[],[f6289,f6]) ).
fof(f6289,plain,
! [X106,X104,X105] : divide(X106,inverse(multiply(X104,X105))) = divide(divide(X106,inverse(X105)),inverse(X104)),
inference(superposition,[],[f6093,f874]) ).
fof(f874,plain,
! [X24,X25] : inverse(X25) = divide(inverse(multiply(X24,X25)),inverse(X24)),
inference(superposition,[],[f42,f6]) ).
fof(f42,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(f6093,plain,
! [X16,X14,X15] : divide(X14,X15) = divide(divide(X14,divide(X15,X16)),X16),
inference(forward_demodulation,[],[f6092,f87]) ).
fof(f6092,plain,
! [X16,X14,X15] : divide(X14,X15) = divide(divide(X14,divide(divide(X15,X16),identity)),X16),
inference(forward_demodulation,[],[f6091,f425]) ).
fof(f425,plain,
! [X6,X4,X5] : multiply(X6,divide(X4,X5)) = divide(X6,divide(X5,X4)),
inference(superposition,[],[f6,f211]) ).
fof(f211,plain,
! [X10,X11] : inverse(divide(X10,X11)) = divide(X11,X10),
inference(superposition,[],[f125,f111]) ).
fof(f6091,plain,
! [X16,X14,X15] : divide(X14,X15) = divide(multiply(X14,divide(identity,divide(X15,X16))),X16),
inference(forward_demodulation,[],[f5985,f230]) ).
fof(f230,plain,
! [X6,X7,X5] : inverse(divide(divide(X6,X7),X5)) = multiply(X7,divide(X5,X6)),
inference(forward_demodulation,[],[f209,f6]) ).
fof(f209,plain,
! [X6,X7,X5] : inverse(divide(divide(X6,X7),X5)) = divide(X7,inverse(divide(X5,X6))),
inference(superposition,[],[f125,f7]) ).
fof(f5985,plain,
! [X16,X14,X15] : divide(X14,X15) = divide(inverse(divide(divide(divide(X15,X16),X14),identity)),X16),
inference(superposition,[],[f35,f7]) ).
fof(f35,plain,
! [X2,X3] : divide(inverse(divide(X3,identity)),divide(inverse(X2),X3)) = X2,
inference(superposition,[],[f7,f3]) ).
fof(f4264,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(subsumption_resolution,[],[f4263,f11]) ).
fof(f11,plain,
! [X2] : identity = multiply(inverse(X2),X2),
inference(superposition,[],[f6,f4]) ).
fof(f4263,plain,
( identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f4262,f75]) ).
fof(f75,plain,
! [X1] : identity = multiply(X1,inverse(X1)),
inference(superposition,[],[f11,f63]) ).
fof(f4262,plain,
( multiply(inverse(a1),a1) != multiply(b1,inverse(b1))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f4261,f315]) ).
fof(f4261,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f4260,f315]) ).
fof(f4260,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(subsumption_resolution,[],[f4254,f62]) ).
fof(f62,plain,
! [X1] : multiply(identity,X1) = X1,
inference(superposition,[],[f54,f6]) ).
fof(f4254,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(superposition,[],[f5,f11]) ).
fof(f5,axiom,
( a2 != multiply(multiply(inverse(b2),b2),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)) ),
file('/export/starexec/sandbox2/tmp/tmp.TlKiIKk9u0/Vampire---4.8_13821',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.33 % Computer : n014.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Wed Aug 30 17:26:14 EDT 2023
% 0.17/0.33 % CPUTime :
% 0.17/0.39 % (13936)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39 % (13939)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.39 % (13942)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.39 % (13950)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)
% 0.17/0.39 % (13948)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)
% 0.17/0.39 % (13941)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)
% 0.17/0.39 % (13940)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.39 % (13944)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)
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [2]
% 0.17/0.39 TRYING [1]
% 0.17/0.39 TRYING [2]
% 0.17/0.39 TRYING [3]
% 0.17/0.40 TRYING [3]
% 0.17/0.40 TRYING [4]
% 0.17/0.42 TRYING [4]
% 0.17/0.42 TRYING [5]
% 0.17/0.50 TRYING [6]
% 0.17/0.51 % (13950)First to succeed.
% 0.17/0.52 % (13950)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.17/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.52 % (13950)------------------------------
% 0.17/0.52 % (13950)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.52 % (13950)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.52 % (13950)Termination reason: Refutation
% 0.17/0.52
% 0.17/0.52 % (13950)Memory used [KB]: 6780
% 0.17/0.52 % (13950)Time elapsed: 0.124 s
% 0.17/0.52 % (13950)------------------------------
% 0.17/0.52 % (13950)------------------------------
% 0.17/0.52 % (13936)Success in time 0.184 s
% 0.17/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------