TSTP Solution File: GRP568-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP568-1 : 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 : n019.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 15:55:54 EDT 2023
% Result : Unsatisfiable 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 107 (; 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1534,plain,
$false,
inference(trivial_inequality_removal,[],[f1533]) ).
fof(f1533,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f5,f1474]) ).
fof(f1474,plain,
! [X2,X3] : multiply(X3,X2) = multiply(X2,X3),
inference(superposition,[],[f1270,f10]) ).
fof(f10,plain,
! [X2,X3] : multiply(X3,X2) = inverse(double_divide(X2,X3)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.q7uZGvDRMw/Vampire---4.8_8451',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/tmp/tmp.q7uZGvDRMw/Vampire---4.8_8451',multiply) ).
fof(f1270,plain,
! [X10,X9] : multiply(X9,X10) = inverse(double_divide(X9,X10)),
inference(superposition,[],[f1060,f1224]) ).
fof(f1224,plain,
! [X2,X1] : double_divide(X2,double_divide(X2,X1)) = X1,
inference(forward_demodulation,[],[f1210,f670]) ).
fof(f670,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f14,f669]) ).
fof(f669,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f7,f616]) ).
fof(f616,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f369,f575]) ).
fof(f575,plain,
identity = inverse(identity),
inference(superposition,[],[f537,f397]) ).
fof(f397,plain,
! [X0] : inverse(X0) = double_divide(multiply(identity,X0),inverse(identity)),
inference(superposition,[],[f369,f14]) ).
fof(f537,plain,
identity = double_divide(multiply(identity,identity),inverse(identity)),
inference(forward_demodulation,[],[f536,f14]) ).
fof(f536,plain,
identity = double_divide(inverse(inverse(identity)),inverse(identity)),
inference(forward_demodulation,[],[f535,f3]) ).
fof(f535,plain,
identity = double_divide(double_divide(inverse(identity),identity),inverse(identity)),
inference(forward_demodulation,[],[f503,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.q7uZGvDRMw/Vampire---4.8_8451',identity) ).
fof(f503,plain,
! [X0] : identity = double_divide(double_divide(inverse(identity),double_divide(X0,inverse(X0))),inverse(identity)),
inference(superposition,[],[f360,f12]) ).
fof(f12,plain,
! [X1] : inverse(identity) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f8,f3]) ).
fof(f8,plain,
! [X1] : double_divide(identity,identity) = multiply(inverse(X1),X1),
inference(superposition,[],[f2,f4]) ).
fof(f360,plain,
! [X0,X1] : identity = double_divide(double_divide(multiply(X0,X1),double_divide(X1,X0)),inverse(identity)),
inference(superposition,[],[f63,f202]) ).
fof(f202,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,inverse(multiply(X1,X0))),inverse(identity)),
inference(superposition,[],[f186,f13]) ).
fof(f13,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = inverse(multiply(X3,X2)),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X3] : multiply(identity,double_divide(X2,X3)) = double_divide(multiply(X3,X2),identity),
inference(superposition,[],[f2,f2]) ).
fof(f186,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),inverse(identity)) = X0,
inference(superposition,[],[f74,f4]) ).
fof(f74,plain,
! [X2,X3] : double_divide(double_divide(X2,multiply(double_divide(X2,inverse(identity)),X3)),inverse(identity)) = X3,
inference(forward_demodulation,[],[f73,f10]) ).
fof(f73,plain,
! [X2,X3] : double_divide(double_divide(X2,inverse(double_divide(X3,double_divide(X2,inverse(identity))))),inverse(identity)) = X3,
inference(forward_demodulation,[],[f59,f3]) ).
fof(f59,plain,
! [X2,X3] : double_divide(double_divide(X2,double_divide(double_divide(X3,double_divide(X2,inverse(identity))),identity)),inverse(identity)) = X3,
inference(superposition,[],[f6,f4]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/tmp/tmp.q7uZGvDRMw/Vampire---4.8_8451',single_axiom) ).
fof(f63,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(forward_demodulation,[],[f51,f3]) ).
fof(f51,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),double_divide(identity,identity))),inverse(identity)) = X1,
inference(superposition,[],[f6,f3]) ).
fof(f369,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
inference(forward_demodulation,[],[f368,f3]) ).
fof(f368,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
inference(forward_demodulation,[],[f354,f4]) ).
fof(f354,plain,
! [X0] : double_divide(double_divide(X0,double_divide(identity,inverse(identity))),inverse(identity)) = X0,
inference(superposition,[],[f63,f4]) ).
fof(f7,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f14,plain,
! [X1] : inverse(inverse(X1)) = multiply(identity,X1),
inference(superposition,[],[f7,f3]) ).
fof(f1210,plain,
! [X2,X1] : inverse(inverse(X1)) = double_divide(X2,double_divide(X2,X1)),
inference(superposition,[],[f934,f1188]) ).
fof(f1188,plain,
! [X6,X7] : double_divide(double_divide(X6,X7),X6) = X7,
inference(forward_demodulation,[],[f1174,f670]) ).
fof(f1174,plain,
! [X6,X7] : inverse(inverse(X7)) = double_divide(double_divide(X6,X7),X6),
inference(superposition,[],[f703,f1060]) ).
fof(f703,plain,
! [X2,X3] : double_divide(X2,X3) = inverse(multiply(X3,X2)),
inference(backward_demodulation,[],[f13,f669]) ).
fof(f934,plain,
! [X2,X3,X1] : inverse(X2) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),
inference(forward_demodulation,[],[f930,f924]) ).
fof(f924,plain,
! [X8] : double_divide(identity,X8) = inverse(X8),
inference(backward_demodulation,[],[f701,f915]) ).
fof(f915,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f795,f2]) ).
fof(f795,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[],[f649,f701]) ).
fof(f649,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),identity) = X0,
inference(backward_demodulation,[],[f599,f646]) ).
fof(f646,plain,
! [X8] : double_divide(identity,multiply(identity,X8)) = multiply(inverse(X8),identity),
inference(forward_demodulation,[],[f645,f2]) ).
fof(f645,plain,
! [X8] : double_divide(identity,multiply(identity,X8)) = double_divide(double_divide(identity,inverse(X8)),identity),
inference(forward_demodulation,[],[f613,f3]) ).
fof(f613,plain,
! [X8] : double_divide(identity,multiply(identity,X8)) = double_divide(double_divide(identity,double_divide(X8,identity)),identity),
inference(backward_demodulation,[],[f358,f575]) ).
fof(f358,plain,
! [X8] : double_divide(identity,multiply(identity,X8)) = double_divide(double_divide(identity,double_divide(X8,inverse(identity))),inverse(identity)),
inference(superposition,[],[f63,f186]) ).
fof(f599,plain,
! [X0] : double_divide(double_divide(identity,multiply(identity,X0)),identity) = X0,
inference(backward_demodulation,[],[f186,f575]) ).
fof(f701,plain,
! [X8] : double_divide(identity,X8) = multiply(inverse(X8),identity),
inference(backward_demodulation,[],[f646,f669]) ).
fof(f930,plain,
! [X2,X3,X1] : inverse(X2) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),
inference(backward_demodulation,[],[f797,f924]) ).
fof(f797,plain,
! [X2,X3,X1] : double_divide(identity,X2) = double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),
inference(backward_demodulation,[],[f647,f701]) ).
fof(f647,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = multiply(inverse(X2),identity),
inference(backward_demodulation,[],[f378,f646]) ).
fof(f378,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = double_divide(identity,multiply(identity,X2)),
inference(backward_demodulation,[],[f355,f358]) ).
fof(f355,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))) = double_divide(double_divide(identity,double_divide(X2,inverse(identity))),inverse(identity)),
inference(superposition,[],[f63,f6]) ).
fof(f1060,plain,
! [X8,X9] : inverse(X8) = multiply(X9,double_divide(X9,X8)),
inference(forward_demodulation,[],[f1048,f703]) ).
fof(f1048,plain,
! [X8,X9] : inverse(X8) = multiply(X9,inverse(multiply(X8,X9))),
inference(superposition,[],[f1027,f1027]) ).
fof(f1027,plain,
! [X8,X7] : multiply(multiply(X7,X8),inverse(X7)) = X8,
inference(superposition,[],[f1019,f670]) ).
fof(f1019,plain,
! [X4,X5] : multiply(multiply(inverse(X4),X5),X4) = X5,
inference(forward_demodulation,[],[f1010,f670]) ).
fof(f1010,plain,
! [X4,X5] : inverse(inverse(X5)) = multiply(multiply(inverse(X4),X5),X4),
inference(superposition,[],[f10,f931]) ).
fof(f931,plain,
! [X6,X7] : inverse(X7) = double_divide(X6,multiply(inverse(X6),X7)),
inference(backward_demodulation,[],[f803,f924]) ).
fof(f803,plain,
! [X6,X7] : double_divide(identity,X7) = double_divide(X6,multiply(inverse(X6),X7)),
inference(forward_demodulation,[],[f802,f669]) ).
fof(f802,plain,
! [X6,X7] : double_divide(identity,multiply(identity,X7)) = double_divide(X6,multiply(inverse(X6),X7)),
inference(forward_demodulation,[],[f617,f3]) ).
fof(f617,plain,
! [X6,X7] : double_divide(identity,multiply(identity,X7)) = double_divide(X6,multiply(double_divide(X6,identity),X7)),
inference(backward_demodulation,[],[f373,f575]) ).
fof(f373,plain,
! [X6,X7] : double_divide(identity,multiply(identity,X7)) = double_divide(X6,multiply(double_divide(X6,inverse(identity)),X7)),
inference(backward_demodulation,[],[f357,f358]) ).
fof(f357,plain,
! [X6,X7] : double_divide(X6,multiply(double_divide(X6,inverse(identity)),X7)) = double_divide(double_divide(identity,double_divide(X7,inverse(identity))),inverse(identity)),
inference(superposition,[],[f63,f74]) ).
fof(f5,axiom,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.q7uZGvDRMw/Vampire---4.8_8451',prove_these_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP568-1 : 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 : n019.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 : Wed Aug 30 17:28:42 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (8721)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (8762)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (8765)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (8764)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)
% 0.22/0.43 % (8763)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (8766)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)
% 0.22/0.43 % (8767)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)
% 0.22/0.43 % (8768)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)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [5]
% 0.22/0.45 TRYING [4]
% 0.22/0.47 % (8767)First to succeed.
% 0.22/0.47 % (8767)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.47 % (8767)------------------------------
% 0.22/0.47 % (8767)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47 % (8767)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47 % (8767)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (8767)Memory used [KB]: 1791
% 0.22/0.47 % (8767)Time elapsed: 0.042 s
% 0.22/0.47 % (8767)------------------------------
% 0.22/0.47 % (8767)------------------------------
% 0.22/0.47 % (8721)Success in time 0.102 s
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------