TSTP Solution File: GRP205-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP205-1 : TPTP v8.1.2. Released v2.3.0.
% 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 : n007.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 01:22:40 EDT 2023
% Result : Unsatisfiable 1.28s 0.54s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8484,plain,
$false,
inference(subsumption_resolution,[],[f8483,f17]) ).
fof(f17,plain,
sF2 != sF5,
inference(definition_folding,[],[f10,f16,f15,f14,f13,f12,f11]) ).
fof(f11,plain,
multiply(y,z) = sF0,
introduced(function_definition,[]) ).
fof(f12,plain,
multiply(sF0,x) = sF1,
introduced(function_definition,[]) ).
fof(f13,plain,
multiply(x,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f14,plain,
multiply(x,y) = sF3,
introduced(function_definition,[]) ).
fof(f15,plain,
multiply(z,x) = sF4,
introduced(function_definition,[]) ).
fof(f16,plain,
multiply(sF3,sF4) = sF5,
introduced(function_definition,[]) ).
fof(f10,axiom,
multiply(x,multiply(multiply(y,z),x)) != multiply(multiply(x,y),multiply(z,x)),
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',prove_moufang4) ).
fof(f8483,plain,
sF2 = sF5,
inference(forward_demodulation,[],[f8482,f16]) ).
fof(f8482,plain,
sF2 = multiply(sF3,sF4),
inference(forward_demodulation,[],[f8473,f1546]) ).
fof(f1546,plain,
! [X8,X9] : multiply(X8,X9) = right_division(X8,right_inverse(X9)),
inference(superposition,[],[f6,f1439]) ).
fof(f1439,plain,
! [X22,X23] : multiply(multiply(X23,X22),right_inverse(X22)) = X23,
inference(forward_demodulation,[],[f1438,f3]) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',multiply_left_division) ).
fof(f1438,plain,
! [X22,X23] : multiply(multiply(X23,X22),right_inverse(X22)) = multiply(X22,left_division(X22,X23)),
inference(forward_demodulation,[],[f1341,f2]) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',right_identity) ).
fof(f1341,plain,
! [X22,X23] : multiply(multiply(X23,X22),right_inverse(X22)) = multiply(X22,multiply(left_division(X22,X23),identity)),
inference(superposition,[],[f71,f7]) ).
fof(f7,axiom,
! [X0] : identity = multiply(X0,right_inverse(X0)),
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',right_inverse) ).
fof(f71,plain,
! [X6,X4,X5] : multiply(X4,multiply(left_division(X4,X5),multiply(X4,X6))) = multiply(multiply(X5,X4),X6),
inference(superposition,[],[f9,f3]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X0),X2) = multiply(X0,multiply(X1,multiply(X0,X2))),
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',moufang3) ).
fof(f6,axiom,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',right_division_multiply) ).
fof(f8473,plain,
sF2 = right_division(sF3,right_inverse(sF4)),
inference(superposition,[],[f52,f8440]) ).
fof(f8440,plain,
right_inverse(sF4) = left_division(sF2,sF3),
inference(forward_demodulation,[],[f8439,f14]) ).
fof(f8439,plain,
right_inverse(sF4) = left_division(sF2,multiply(x,y)),
inference(forward_demodulation,[],[f8406,f1525]) ).
fof(f1525,plain,
y = multiply(sF0,right_inverse(z)),
inference(superposition,[],[f1439,f11]) ).
fof(f8406,plain,
right_inverse(sF4) = left_division(sF2,multiply(x,multiply(sF0,right_inverse(z)))),
inference(superposition,[],[f2641,f1515]) ).
fof(f1515,plain,
right_inverse(z) = multiply(x,right_inverse(sF4)),
inference(superposition,[],[f1439,f455]) ).
fof(f455,plain,
x = multiply(right_inverse(z),sF4),
inference(superposition,[],[f369,f15]) ).
fof(f369,plain,
! [X8,X7] : multiply(right_inverse(X7),multiply(X7,X8)) = X8,
inference(forward_demodulation,[],[f347,f4]) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',left_division_multiply) ).
fof(f347,plain,
! [X8,X7] : multiply(right_inverse(X7),multiply(X7,X8)) = left_division(X7,multiply(X7,X8)),
inference(superposition,[],[f4,f93]) ).
fof(f93,plain,
! [X2,X3] : multiply(X2,X3) = multiply(X2,multiply(right_inverse(X2),multiply(X2,X3))),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341',left_identity) ).
fof(f70,plain,
! [X2,X3] : multiply(X2,multiply(right_inverse(X2),multiply(X2,X3))) = multiply(multiply(identity,X2),X3),
inference(superposition,[],[f9,f7]) ).
fof(f2641,plain,
! [X87] : left_division(sF2,multiply(x,multiply(sF0,multiply(x,X87)))) = X87,
inference(forward_demodulation,[],[f2443,f13]) ).
fof(f2443,plain,
! [X87] : left_division(multiply(x,sF1),multiply(x,multiply(sF0,multiply(x,X87)))) = X87,
inference(superposition,[],[f1715,f12]) ).
fof(f1715,plain,
! [X3,X4,X5] : left_division(multiply(X3,multiply(X4,X3)),multiply(X3,multiply(X4,multiply(X3,X5)))) = X5,
inference(forward_demodulation,[],[f88,f101]) ).
fof(f101,plain,
! [X3,X4] : multiply(multiply(X3,X4),X3) = multiply(X3,multiply(X4,X3)),
inference(forward_demodulation,[],[f84,f2]) ).
fof(f84,plain,
! [X3,X4] : multiply(multiply(X3,X4),X3) = multiply(X3,multiply(X4,multiply(X3,identity))),
inference(superposition,[],[f9,f2]) ).
fof(f88,plain,
! [X3,X4,X5] : left_division(multiply(multiply(X3,X4),X3),multiply(X3,multiply(X4,multiply(X3,X5)))) = X5,
inference(superposition,[],[f4,f9]) ).
fof(f52,plain,
! [X2,X3] : right_division(X3,left_division(X2,X3)) = X2,
inference(superposition,[],[f6,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP205-1 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n007.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 : Tue Aug 29 00:17:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.h7JYrUGpGY/Vampire---4.8_12341
% 0.15/0.35 % (12449)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (12453)ott+10_5:4_av=off:bd=off:drc=off:fde=unused:sims=off_758 on Vampire---4 for (758ds/0Mi)
% 0.22/0.41 % (12450)ott+10_16_av=off:drc=off:fde=none:nwc=1.7:sp=weighted_frequency_1200 on Vampire---4 for (1200ds/0Mi)
% 0.22/0.41 % (12455)ott+10_4:1_av=off:drc=off:sos=on:tgt=ground_592 on Vampire---4 for (592ds/0Mi)
% 0.22/0.41 % (12452)dis+10_6_av=off:bd=off:drc=off:fde=none:nwc=1.2:sims=off:tgt=full_978 on Vampire---4 for (978ds/0Mi)
% 0.22/0.42 % (12455)Refutation not found, incomplete strategy% (12455)------------------------------
% 0.22/0.42 % (12455)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (12455)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (12455)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (12455)Memory used [KB]: 895
% 0.22/0.42 % (12455)Time elapsed: 0.003 s
% 0.22/0.42 % (12455)------------------------------
% 0.22/0.42 % (12455)------------------------------
% 0.22/0.42 % (12451)lrs+10_15_av=off:bd=preordered:drc=off:nwc=1.1:sp=reverse_frequency:tgt=ground:stl=188_1140 on Vampire---4 for (1140ds/0Mi)
% 0.22/0.42 % (12454)ott+10_2:7_av=off:bd=preordered:drc=off:fde=unused:nwc=1.1:sims=off_611 on Vampire---4 for (611ds/0Mi)
% 0.22/0.43 % (12456)ott+10_4:5_av=off:bd=preordered:drc=off:fde=unused:nwc=1.3:sims=off:sp=scramble:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.47 % (12457)lrs+10_2:1_av=off:bd=off:drc=off:fde=none:sims=off:sp=reverse_weighted_frequency:to=lpo:tgt=ground:stl=125_365 on Vampire---4 for (365ds/0Mi)
% 1.28/0.53 % (12452)First to succeed.
% 1.28/0.54 % (12452)Refutation found. Thanks to Tanya!
% 1.28/0.54 % SZS status Unsatisfiable for Vampire---4
% 1.28/0.54 % SZS output start Proof for Vampire---4
% See solution above
% 1.28/0.54 % (12452)------------------------------
% 1.28/0.54 % (12452)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.28/0.54 % (12452)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.28/0.54 % (12452)Termination reason: Refutation
% 1.28/0.54
% 1.28/0.54 % (12452)Memory used [KB]: 6268
% 1.28/0.54 % (12452)Time elapsed: 0.121 s
% 1.28/0.54 % (12452)------------------------------
% 1.28/0.54 % (12452)------------------------------
% 1.28/0.54 % (12449)Success in time 0.18 s
% 1.28/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------