TSTP Solution File: LCL161-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---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 : n004.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 08:22:08 EDT 2023
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 20 (; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(subsumption_resolution,[],[f67,f44]) ).
fof(f44,plain,
! [X5] : not(not(X5)) = X5,
inference(forward_demodulation,[],[f37,f29]) ).
fof(f29,plain,
! [X6] : not(X6) = xor(truth,X6),
inference(superposition,[],[f9,f1]) ).
fof(f1,axiom,
! [X0] : not(X0) = xor(X0,truth),
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',axiom_1) ).
fof(f9,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',xor_commutativity) ).
fof(f37,plain,
! [X5] : xor(truth,not(X5)) = X5,
inference(backward_demodulation,[],[f36,f29]) ).
fof(f36,plain,
! [X5] : xor(truth,xor(truth,X5)) = X5,
inference(forward_demodulation,[],[f28,f23]) ).
fof(f23,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.7RldGEs6c3/Vampire---4.8_25228',axiom_7) ).
fof(f28,plain,
! [X5] : xor(not(truth),X5) = X5,
inference(superposition,[],[f9,f21]) ).
fof(f21,plain,
! [X0] : xor(X0,not(truth)) = X0,
inference(forward_demodulation,[],[f2,f12]) ).
fof(f12,axiom,
falsehood = not(truth),
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',false_definition) ).
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',axiom_2) ).
fof(f67,plain,
x != not(not(x)),
inference(backward_demodulation,[],[f48,f62]) ).
fof(f62,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.7RldGEs6c3/Vampire---4.8_25228',axiom_4) ).
fof(f11,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',and_star_commutativity) ).
fof(f48,plain,
x != not(and_star(truth,not(x))),
inference(forward_demodulation,[],[f42,f29]) ).
fof(f42,plain,
x != not(and_star(truth,xor(truth,x))),
inference(backward_demodulation,[],[f18,f29]) ).
fof(f18,plain,
x != xor(truth,and_star(truth,xor(truth,x))),
inference(forward_demodulation,[],[f16,f17]) ).
fof(f17,plain,
sF0 = xor(truth,and_star(truth,xor(truth,x))),
inference(backward_demodulation,[],[f15,f13]) ).
fof(f13,axiom,
! [X0,X1] : implies(X0,X1) = xor(truth,and_star(X0,xor(truth,X1))),
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',implies_definition) ).
fof(f15,plain,
implies(truth,x) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
x != sF0,
inference(definition_folding,[],[f14,f15]) ).
fof(f14,axiom,
x != implies(truth,x),
file('/export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228',prove_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 05:46:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.7RldGEs6c3/Vampire---4.8_25228
% 0.13/0.35 % (25454)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (25458)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.20/0.41 % (25457)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 0.20/0.41 % (25461)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.20/0.41 % (25459)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.20/0.41 % (25463)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.20/0.41 % (25460)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.20/0.41 % (25462)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.20/0.41 % (25461)First to succeed.
% 0.20/0.41 % (25458)Also succeeded, but the first one will report.
% 0.20/0.41 % (25463)Also succeeded, but the first one will report.
% 0.20/0.41 % (25461)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.41 % (25461)------------------------------
% 0.20/0.41 % (25461)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41 % (25461)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41 % (25461)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (25461)Memory used [KB]: 895
% 0.20/0.41 % (25461)Time elapsed: 0.006 s
% 0.20/0.41 % (25461)------------------------------
% 0.20/0.41 % (25461)------------------------------
% 0.20/0.41 % (25454)Success in time 0.065 s
% 0.20/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------