TSTP Solution File: GRP523-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP523-1 : 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 : n020.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 01:25:42 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 47 (; 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f582,plain,
$false,
inference(subsumption_resolution,[],[f581,f125]) ).
fof(f125,plain,
! [X17,X15] : divide(X15,divide(X15,X17)) = X17,
inference(backward_demodulation,[],[f112,f113]) ).
fof(f113,plain,
! [X18,X19,X20] : divide(X18,X19) = divide(X18,divide(X19,divide(X20,X20))),
inference(superposition,[],[f1,f97]) ).
fof(f97,plain,
! [X21,X18] : divide(X18,X18) = divide(X21,X21),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f84,plain,
! [X21,X18,X19,X20] : divide(X18,X18) = divide(X19,divide(X20,divide(divide(X21,X21),divide(X19,X20)))),
inference(superposition,[],[f1,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(divide(X1,X1),X0) = divide(divide(X2,X2),X0),
inference(superposition,[],[f3,f3]) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.H9cuMpiG6A/Vampire---4.8_15883',inverse) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox/tmp/tmp.H9cuMpiG6A/Vampire---4.8_15883',single_axiom) ).
fof(f112,plain,
! [X16,X17,X15] : divide(X15,divide(X15,divide(X17,divide(X16,X16)))) = X17,
inference(superposition,[],[f1,f97]) ).
fof(f581,plain,
sF3 != divide(a3,divide(a3,sF3)),
inference(forward_demodulation,[],[f574,f404]) ).
fof(f404,plain,
! [X6,X7,X5] : divide(X6,X7) = divide(divide(X6,X5),divide(X7,X5)),
inference(superposition,[],[f1,f14]) ).
fof(f14,plain,
! [X3,X4,X5] : divide(X4,divide(divide(X5,divide(X3,X4)),X5)) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f574,plain,
sF3 != divide(divide(a3,inverse(b3)),divide(divide(a3,sF3),inverse(b3))),
inference(backward_demodulation,[],[f43,f566]) ).
fof(f566,plain,
inverse(c3) = divide(divide(a3,sF3),inverse(b3)),
inference(superposition,[],[f437,f495]) ).
fof(f495,plain,
divide(a3,sF3) = divide(inverse(c3),b3),
inference(backward_demodulation,[],[f141,f452]) ).
fof(f452,plain,
! [X3,X4] : divide(X3,X4) = inverse(divide(X4,X3)),
inference(superposition,[],[f125,f417]) ).
fof(f417,plain,
! [X10,X9] : divide(X10,inverse(divide(X9,X10))) = X9,
inference(forward_demodulation,[],[f388,f127]) ).
fof(f127,plain,
! [X16,X17] : divide(X17,divide(X16,X16)) = X17,
inference(forward_demodulation,[],[f121,f125]) ).
fof(f121,plain,
! [X16,X17,X15] : divide(X15,divide(X15,divide(X17,divide(X16,X16)))) = X17,
inference(superposition,[],[f1,f97]) ).
fof(f388,plain,
! [X10,X8,X9] : divide(X10,divide(inverse(divide(X9,X10)),divide(X8,X8))) = X9,
inference(superposition,[],[f14,f3]) ).
fof(f141,plain,
inverse(divide(b3,inverse(c3))) = divide(a3,sF3),
inference(superposition,[],[f125,f38]) ).
fof(f38,plain,
sF3 = divide(a3,inverse(divide(b3,inverse(c3)))),
inference(backward_demodulation,[],[f32,f34]) ).
fof(f34,plain,
sF2 = divide(b3,inverse(c3)),
inference(backward_demodulation,[],[f7,f20]) ).
fof(f20,plain,
! [X2,X1] : divide(X2,inverse(X1)) = multiply(X2,X1),
inference(superposition,[],[f2,f3]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/tmp/tmp.H9cuMpiG6A/Vampire---4.8_15883',multiply) ).
fof(f7,plain,
multiply(b3,c3) = sF2,
introduced(function_definition,[]) ).
fof(f32,plain,
sF3 = divide(a3,inverse(sF2)),
inference(backward_demodulation,[],[f8,f20]) ).
fof(f8,plain,
multiply(a3,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f437,plain,
! [X16,X15] : divide(divide(X15,X16),inverse(X16)) = X15,
inference(superposition,[],[f417,f125]) ).
fof(f43,plain,
sF3 != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(backward_demodulation,[],[f9,f41]) ).
fof(f41,plain,
sF1 = divide(divide(a3,inverse(b3)),inverse(c3)),
inference(forward_demodulation,[],[f35,f33]) ).
fof(f33,plain,
sF0 = divide(a3,inverse(b3)),
inference(backward_demodulation,[],[f5,f20]) ).
fof(f5,plain,
multiply(a3,b3) = sF0,
introduced(function_definition,[]) ).
fof(f35,plain,
sF1 = divide(sF0,inverse(c3)),
inference(backward_demodulation,[],[f6,f20]) ).
fof(f6,plain,
multiply(sF0,c3) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
sF1 != sF3,
inference(definition_folding,[],[f4,f8,f7,f6,f5]) ).
fof(f4,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/tmp/tmp.H9cuMpiG6A/Vampire---4.8_15883',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:47:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.H9cuMpiG6A/Vampire---4.8_15883
% 0.14/0.36 % (15991)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15995)lrs+10_20_av=off:bd=preordered:drc=off:fde=unused:sims=off:to=lpo:stl=62_369 on Vampire---4 for (369ds/0Mi)
% 0.21/0.42 % (15997)dis+10_50_av=off:bd=preordered:drc=off:fde=unused:nwc=1.5:sims=off:sp=reverse_weighted_frequency:to=lpo_239 on Vampire---4 for (239ds/0Mi)
% 0.21/0.42 % (15996)lrs+10_64_av=off:bd=off:drc=off:fde=unused:sp=frequency:tgt=full:stl=62_243 on Vampire---4 for (243ds/0Mi)
% 0.21/0.42 % (15993)lrs+10_5_av=off:drc=off:fde=none:nwc=1.1:sp=scramble:to=lpo:tgt=ground:stl=62_518 on Vampire---4 for (518ds/0Mi)
% 0.21/0.42 % (15994)lrs+10_16_av=off:drc=off:nwc=1.5:sp=scramble:tgt=ground:stl=125_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (15998)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.21/0.42 % (15992)lrs+10_4:3_av=off:bd=preordered:drc=off:fde=unused:nwc=1.7:sp=weighted_frequency:to=lpo:tgt=ground:stl=125_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.44 % (15993)First to succeed.
% 0.21/0.44 % (15993)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (15993)------------------------------
% 0.21/0.44 % (15993)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (15993)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (15993)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (15993)Memory used [KB]: 1279
% 0.21/0.44 % (15993)Time elapsed: 0.020 s
% 0.21/0.44 % (15993)------------------------------
% 0.21/0.44 % (15993)------------------------------
% 0.21/0.44 % (15991)Success in time 0.08 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------