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 --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Sun May 5 07:44:14 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% 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,
! [X0] : implies(truth,X0) = X0,
inference(forward_demodulation,[],[f131,f100]) ).
fof(f100,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f99,f2]) ).
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f99,plain,
! [X0] : xor(X0,falsehood) = not(not(X0)),
inference(forward_demodulation,[],[f90,f12]) ).
fof(f12,axiom,
falsehood = not(truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_definition) ).
fof(f90,plain,
! [X0] : not(not(X0)) = xor(X0,not(truth)),
inference(superposition,[],[f37,f1]) ).
fof(f1,axiom,
! [X0] : not(X0) = xor(X0,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f37,plain,
! [X0,X1] : xor(not(X0),X1) = xor(X0,not(X1)),
inference(backward_demodulation,[],[f15,f26]) ).
fof(f26,plain,
! [X0] : not(X0) = xor(truth,X0),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',axiom_7) ).
fof(f131,plain,
! [X0] : not(not(X0)) = implies(truth,X0),
inference(forward_demodulation,[],[f119,f26]) ).
fof(f119,plain,
! [X0] : xor(truth,not(X0)) = implies(truth,X0),
inference(superposition,[],[f39,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/benchmark/theBenchmark.p',axiom_4) ).
fof(f11,axiom,
! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_star_commutativity) ).
fof(f39,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/benchmark/theBenchmark.p',implies_definition) ).
fof(f14,axiom,
x != implies(truth,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n025.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 May 3 14:08:13 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (16978)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (16982)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 % (16981)WARNING: value z3 for option sas not known
% 0.13/0.37 % (16979)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (16980)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (16981)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 theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (16983)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 theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (16984)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 theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (16985)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 theBenchmark for (497ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (16984)First to succeed.
% 0.13/0.37 % (16984)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16978"
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (16984)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (16984)------------------------------
% 0.13/0.37 % (16984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (16984)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (16984)Memory used [KB]: 845
% 0.13/0.37 % (16984)Time elapsed: 0.007 s
% 0.13/0.37 % (16984)Instructions burned: 8 (million)
% 0.13/0.37 % (16978)Success in time 0.023 s
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