TSTP Solution File: GRP475-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n006.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 01:24:50 EDT 2023
% Result : Unsatisfiable 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 96 (; 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1091,plain,
$false,
inference(subsumption_resolution,[],[f881,f814]) ).
fof(f814,plain,
! [X21,X22] : divide(X21,X21) = divide(X22,X22),
inference(superposition,[],[f115,f779]) ).
fof(f779,plain,
! [X132,X133,X130,X131] : divide(inverse(divide(divide(divide(X130,X131),X132),divide(X133,X133))),divide(X131,X130)) = X132,
inference(forward_demodulation,[],[f771,f115]) ).
fof(f771,plain,
! [X132,X133,X127,X130,X131,X128,X129] : divide(inverse(divide(divide(divide(X130,X131),X132),divide(X133,X133))),divide(X131,X130)) = divide(divide(inverse(divide(divide(divide(X127,X128),X129),X132)),divide(X128,X127)),X129),
inference(superposition,[],[f115,f681]) ).
fof(f681,plain,
! [X10,X11,X8,X9,X7] : inverse(divide(X10,X9)) = inverse(divide(X10,divide(inverse(divide(divide(divide(X7,X8),X9),divide(X11,X11))),divide(X8,X7)))),
inference(superposition,[],[f654,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
file('/export/starexec/sandbox2/tmp/tmp.e6hehUK6JT/Vampire---4.8_11672',single_axiom) ).
fof(f654,plain,
! [X2,X3,X4,X5] : inverse(X4) = inverse(divide(divide(inverse(divide(X3,X4)),X5),divide(inverse(divide(X3,divide(X2,X2))),X5))),
inference(forward_demodulation,[],[f590,f190]) ).
fof(f190,plain,
! [X194,X195,X198,X199,X196,X197] : inverse(divide(divide(divide(inverse(divide(divide(divide(X194,X195),X196),X197)),divide(X195,X194)),X199),divide(X198,X199))) = inverse(divide(X197,divide(X198,X196))),
inference(superposition,[],[f67,f115]) ).
fof(f67,plain,
! [X11,X6,X7,X5] : inverse(divide(divide(X5,X6),divide(X7,X6))) = inverse(divide(divide(X5,X11),divide(X7,X11))),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f60,plain,
! [X10,X11,X8,X6,X9,X7,X5] : inverse(divide(divide(X5,X6),divide(X7,X6))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X9,X8),X10),divide(X5,X10))),divide(X8,X9)),X11),divide(X7,X11))),
inference(superposition,[],[f39,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(divide(X3,X4),divide(X5,X4))),divide(divide(X1,X0),inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))))) = X5,
inference(superposition,[],[f1,f1]) ).
fof(f39,plain,
! [X2,X3,X4,X5] : inverse(divide(divide(divide(X3,X2),X5),divide(divide(X4,divide(X2,X3)),X5))) = X4,
inference(superposition,[],[f7,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))) = divide(inverse(divide(divide(divide(X4,X5),divide(X1,X0)),X3)),divide(X5,X4)),
inference(superposition,[],[f1,f1]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(X4) = inverse(divide(divide(inverse(divide(X3,X4)),X5),divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X6),divide(X2,X6))),X5))),
inference(superposition,[],[f588,f115]) ).
fof(f588,plain,
! [X8,X6,X7,X12,X13] : inverse(X12) = inverse(divide(divide(inverse(divide(divide(X6,X8),X12)),X13),divide(inverse(divide(divide(X6,X7),divide(X8,X7))),X13))),
inference(forward_demodulation,[],[f556,f1]) ).
fof(f556,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] : inverse(X12) = inverse(divide(divide(inverse(divide(divide(divide(inverse(divide(divide(divide(X10,X9),X11),divide(X6,X11))),divide(X9,X10)),X8),X12)),X13),divide(inverse(divide(divide(X6,X7),divide(X8,X7))),X13))),
inference(superposition,[],[f119,f6]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(divide(inverse(divide(divide(divide(X0,X1),divide(X2,divide(X1,X0))),X3)),X4),divide(X2,X4))) = inverse(X3),
inference(superposition,[],[f67,f42]) ).
fof(f42,plain,
! [X11,X8,X9,X12,X13] : divide(divide(inverse(divide(divide(divide(X12,X13),divide(X9,X8)),X11)),divide(X13,X12)),divide(X9,X8)) = X11,
inference(superposition,[],[f1,f7]) ).
fof(f115,plain,
! [X3,X6,X4,X5] : divide(divide(inverse(divide(divide(divide(X4,X5),X3),X6)),divide(X5,X4)),X3) = X6,
inference(superposition,[],[f42,f1]) ).
fof(f881,plain,
! [X0] : divide(inverse(a1),inverse(a1)) != divide(X0,X0),
inference(superposition,[],[f5,f814]) ).
fof(f5,plain,
divide(inverse(b1),inverse(b1)) != divide(inverse(a1),inverse(a1)),
inference(superposition,[],[f4,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.e6hehUK6JT/Vampire---4.8_11672',multiply) ).
fof(f4,plain,
multiply(inverse(b1),b1) != divide(inverse(a1),inverse(a1)),
inference(forward_demodulation,[],[f3,f2]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/tmp/tmp.e6hehUK6JT/Vampire---4.8_11672',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP475-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 23:28:06 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.e6hehUK6JT/Vampire---4.8_11672
% 0.16/0.37 % (11871)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11876)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 0.22/0.43 % (11875)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.22/0.43 % (11877)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.22/0.43 % (11873)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.22/0.43 % (11878)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.22/0.44 % (11872)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.45 % (11874)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.22/0.49 % (11875)First to succeed.
% 0.22/0.49 % (11875)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.49 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (11875)------------------------------
% 0.22/0.49 % (11875)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (11875)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (11875)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (11875)Memory used [KB]: 3198
% 0.22/0.49 % (11875)Time elapsed: 0.058 s
% 0.22/0.49 % (11875)------------------------------
% 0.22/0.49 % (11875)------------------------------
% 0.22/0.49 % (11871)Success in time 0.117 s
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------