TSTP Solution File: GRP075-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP075-1 : TPTP v8.1.2. Bugfixed 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 : 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 : Thu Aug 31 01:21:06 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 54 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 107 (; 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f848,plain,
$false,
inference(trivial_inequality_removal,[],[f847]) ).
fof(f847,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[],[f151,f830]) ).
fof(f830,plain,
! [X18,X19,X16] : multiply(multiply(X16,X19),X18) = multiply(X16,multiply(X19,X18)),
inference(forward_demodulation,[],[f783,f696]) ).
fof(f696,plain,
! [X14,X15,X12,X13] : multiply(multiply(X12,X13),double_divide(X13,double_divide(X14,X15))) = multiply(X12,multiply(X15,X14)),
inference(superposition,[],[f660,f519]) ).
fof(f519,plain,
! [X8,X9,X7] : multiply(multiply(multiply(X9,X8),double_divide(X8,X7)),X7) = X9,
inference(backward_demodulation,[],[f474,f503]) ).
fof(f503,plain,
! [X2,X3,X1] : multiply(multiply(X2,X1),X3) = double_divide(double_divide(X1,X2),inverse(X3)),
inference(superposition,[],[f366,f6]) ).
fof(f6,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860',multiply) ).
fof(f366,plain,
! [X10,X11] : multiply(inverse(X10),X11) = double_divide(X10,inverse(X11)),
inference(superposition,[],[f196,f142]) ).
fof(f142,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(inverse(X1),X0),X1),
inference(forward_demodulation,[],[f141,f6]) ).
fof(f141,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(double_divide(X0,inverse(X1))),X1),
inference(forward_demodulation,[],[f134,f3]) ).
fof(f134,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(double_divide(X0,inverse(X1)),identity),X1),
inference(superposition,[],[f11,f111]) ).
fof(f111,plain,
! [X6] : identity = double_divide(inverse(X6),X6),
inference(forward_demodulation,[],[f102,f95]) ).
fof(f95,plain,
! [X6] : inverse(X6) = multiply(inverse(X6),identity),
inference(forward_demodulation,[],[f79,f73]) ).
fof(f73,plain,
identity = inverse(identity),
inference(superposition,[],[f63,f4]) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860',identity) ).
fof(f63,plain,
! [X0] : double_divide(inverse(identity),inverse(X0)) = X0,
inference(superposition,[],[f56,f13]) ).
fof(f13,plain,
! [X1] : multiply(inverse(X1),X1) = inverse(identity),
inference(superposition,[],[f6,f4]) ).
fof(f56,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),inverse(X0)),X1) = X0,
inference(forward_demodulation,[],[f55,f6]) ).
fof(f55,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(forward_demodulation,[],[f48,f3]) ).
fof(f48,plain,
! [X0,X1] : double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(superposition,[],[f11,f4]) ).
fof(f79,plain,
! [X6] : inverse(X6) = multiply(inverse(X6),inverse(identity)),
inference(superposition,[],[f6,f63]) ).
fof(f102,plain,
! [X6] : identity = double_divide(multiply(inverse(X6),identity),X6),
inference(superposition,[],[f56,f73]) ).
fof(f11,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,identity),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f8,f4]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f7,f3]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
file('/export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860',single_axiom) ).
fof(f196,plain,
! [X6,X5] : double_divide(X6,double_divide(X5,X6)) = X5,
inference(superposition,[],[f145,f145]) ).
fof(f145,plain,
! [X2,X3] : double_divide(double_divide(X2,X3),X2) = X3,
inference(backward_demodulation,[],[f92,f143]) ).
fof(f143,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f56,f142]) ).
fof(f92,plain,
! [X2,X3] : double_divide(double_divide(X2,inverse(inverse(X3))),X2) = X3,
inference(forward_demodulation,[],[f91,f3]) ).
fof(f91,plain,
! [X2,X3] : double_divide(double_divide(X2,double_divide(inverse(X3),identity)),X2) = X3,
inference(forward_demodulation,[],[f90,f73]) ).
fof(f90,plain,
! [X2,X3] : double_divide(double_divide(X2,double_divide(inverse(X3),inverse(identity))),X2) = X3,
inference(forward_demodulation,[],[f76,f73]) ).
fof(f76,plain,
! [X2,X3] : double_divide(double_divide(X2,double_divide(inverse(X3),inverse(inverse(identity)))),X2) = X3,
inference(superposition,[],[f11,f63]) ).
fof(f474,plain,
! [X8,X9,X7] : double_divide(double_divide(double_divide(X8,X7),multiply(X9,X8)),inverse(X7)) = X9,
inference(backward_demodulation,[],[f162,f469]) ).
fof(f469,plain,
! [X4,X5] : double_divide(inverse(X5),inverse(X4)) = multiply(X5,X4),
inference(forward_demodulation,[],[f450,f6]) ).
fof(f450,plain,
! [X4,X5] : double_divide(inverse(X5),inverse(X4)) = inverse(double_divide(X4,X5)),
inference(superposition,[],[f355,f201]) ).
fof(f201,plain,
! [X3,X4] : inverse(X4) = multiply(X3,double_divide(X3,X4)),
inference(superposition,[],[f6,f145]) ).
fof(f355,plain,
! [X8,X7] : inverse(X8) = double_divide(multiply(X7,X8),inverse(X7)),
inference(superposition,[],[f142,f143]) ).
fof(f162,plain,
! [X8,X9,X7] : double_divide(double_divide(double_divide(X8,X7),double_divide(inverse(X9),inverse(X8))),inverse(X7)) = X9,
inference(superposition,[],[f11,f143]) ).
fof(f660,plain,
! [X10,X11,X9] : multiply(multiply(X11,double_divide(X9,X10)),multiply(X10,X9)) = X11,
inference(forward_demodulation,[],[f621,f178]) ).
fof(f178,plain,
! [X1] : multiply(X1,identity) = X1,
inference(forward_demodulation,[],[f177,f143]) ).
fof(f177,plain,
! [X1] : inverse(inverse(X1)) = multiply(X1,identity),
inference(superposition,[],[f6,f164]) ).
fof(f164,plain,
! [X11] : inverse(X11) = double_divide(identity,X11),
inference(superposition,[],[f84,f143]) ).
fof(f84,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[],[f63,f73]) ).
fof(f621,plain,
! [X10,X11,X9] : multiply(multiply(multiply(X11,double_divide(X9,X10)),identity),multiply(X10,X9)) = X11,
inference(superposition,[],[f519,f14]) ).
fof(f14,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f4,f6]) ).
fof(f783,plain,
! [X18,X19,X16,X17] : multiply(multiply(X16,X17),double_divide(X17,double_divide(X18,X19))) = multiply(multiply(X16,X19),X18),
inference(superposition,[],[f622,f519]) ).
fof(f622,plain,
! [X14,X12,X13] : multiply(multiply(multiply(X14,double_divide(X12,X13)),X13),X12) = X14,
inference(superposition,[],[f519,f145]) ).
fof(f151,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f150]) ).
fof(f150,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f87,f143]) ).
fof(f87,plain,
( a2 != inverse(inverse(a2))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(trivial_inequality_removal,[],[f81]) ).
fof(f81,plain,
( identity != identity
| a2 != inverse(inverse(a2))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f16,f73]) ).
fof(f16,plain,
( identity != inverse(identity)
| a2 != inverse(inverse(a2))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f15,f13]) ).
fof(f15,plain,
( a2 != inverse(inverse(a2))
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f5,f12]) ).
fof(f12,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f6,f3]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP075-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 23:44:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860
% 0.13/0.36 % (15971)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (15978)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.21/0.42 % (15976)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.42 % (15975)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.42 % (15974)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.42 % (15977)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (15972)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.42 % (15976)Refutation not found, incomplete strategy% (15976)------------------------------
% 0.21/0.42 % (15976)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (15976)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (15976)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (15976)Memory used [KB]: 895
% 0.21/0.42 % (15976)Time elapsed: 0.003 s
% 0.21/0.42 % (15976)------------------------------
% 0.21/0.42 % (15976)------------------------------
% 0.21/0.42 % (15973)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.43 % (15975)First to succeed.
% 0.21/0.43 % (15975)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (15975)------------------------------
% 0.21/0.44 % (15975)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (15975)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (15975)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (15975)Memory used [KB]: 1407
% 0.21/0.44 % (15975)Time elapsed: 0.020 s
% 0.21/0.44 % (15975)------------------------------
% 0.21/0.44 % (15975)------------------------------
% 0.21/0.44 % (15971)Success in time 0.077 s
% 0.21/0.44 15972 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.ssyBlFuwL5/Vampire---4.8_15860
% 0.21/0.44 % (15972)------------------------------
% 0.21/0.44 % (15972)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (15972)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (15972)Termination reason: Unknown
% 0.21/0.44 % (15972)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (15972)Memory used [KB]: 5373
% 0.21/0.44 % (15972)Time elapsed: 0.021 s
% 0.21/0.44 % (15972)------------------------------
% 0.21/0.44 % (15972)------------------------------
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------