TSTP Solution File: LCL161-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n017.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 17:19:07 EDT 2023
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 25 (; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(trivial_inequality_removal,[],[f134]) ).
fof(f134,plain,
x != x,
inference(superposition,[],[f14,f132]) ).
fof(f132,plain,
! [X6] : implies(truth,X6) = X6,
inference(forward_demodulation,[],[f131,f100]) ).
fof(f100,plain,
! [X7] : not(not(X7)) = X7,
inference(forward_demodulation,[],[f99,f2]) ).
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',axiom_2) ).
fof(f99,plain,
! [X7] : not(not(X7)) = xor(X7,falsehood),
inference(forward_demodulation,[],[f90,f12]) ).
fof(f12,axiom,
falsehood = not(truth),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',false_definition) ).
fof(f90,plain,
! [X7] : not(not(X7)) = xor(X7,not(truth)),
inference(superposition,[],[f37,f1]) ).
fof(f1,axiom,
! [X0] : not(X0) = xor(X0,truth),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',axiom_1) ).
fof(f37,plain,
! [X0,X1] : xor(not(X0),X1) = xor(X0,not(X1)),
inference(backward_demodulation,[],[f15,f26]) ).
fof(f26,plain,
! [X5] : not(X5) = xor(truth,X5),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',xor_commutativity) ).
fof(f15,plain,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(not(X0),X1),
inference(forward_demodulation,[],[f7,f1]) ).
fof(f7,axiom,
! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',axiom_7) ).
fof(f131,plain,
! [X6] : implies(truth,X6) = not(not(X6)),
inference(forward_demodulation,[],[f119,f26]) ).
fof(f119,plain,
! [X6] : implies(truth,X6) = xor(truth,not(X6)),
inference(superposition,[],[f38,f61]) ).
fof(f61,plain,
! [X0] : and_star(truth,X0) = X0,
inference(superposition,[],[f11,f4]) ).
fof(f4,axiom,
! [X0] : and_star(X0,truth) = X0,
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',axiom_4) ).
fof(f11,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',and_star_commutativity) ).
fof(f38,plain,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,not(X1))),
inference(backward_demodulation,[],[f13,f26]) ).
fof(f13,axiom,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',implies_definition) ).
fof(f14,axiom,
x != implies(truth,x),
file('/export/starexec/sandbox/tmp/tmp.d7rDgAXOYD/Vampire---4.8_18962',prove_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n017.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 14:24:14 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (19241)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (19277)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (19278)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (19280)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (19279)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)
% 0.22/0.42 % (19281)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)
% 0.22/0.42 % (19283)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)
% 0.22/0.42 % (19282)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 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (19282)First to succeed.
% 0.22/0.43 % (19282)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (19282)------------------------------
% 0.22/0.43 % (19282)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (19282)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (19282)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (19282)Memory used [KB]: 895
% 0.22/0.43 % (19282)Time elapsed: 0.007 s
% 0.22/0.43 % (19282)------------------------------
% 0.22/0.43 % (19282)------------------------------
% 0.22/0.43 % (19241)Success in time 0.067 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------