TSTP Solution File: LCL161-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 17:39:07 EDT 2022
% Result : Unsatisfiable 0.10s 0.37s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(unit_resulting_resolution,[],[f34,f95]) ).
fof(f95,plain,
! [X0] : xor(truth,xor(truth,X0)) = X0,
inference(forward_demodulation,[],[f75,f21]) ).
fof(f21,plain,
! [X0] : xor(falsehood,X0) = X0,
inference(superposition,[],[f2,f9]) ).
fof(f9,axiom,
! [X0,X1] : xor(X0,X1) = xor(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_commutativity) ).
fof(f2,axiom,
! [X0] : xor(X0,falsehood) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f75,plain,
! [X0] : xor(truth,xor(truth,X0)) = xor(falsehood,X0),
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : falsehood = xor(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
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(f34,plain,
x != xor(truth,xor(truth,x)),
inference(backward_demodulation,[],[f15,f26]) ).
fof(f26,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(f15,plain,
x != xor(truth,and_star(truth,xor(truth,x))),
inference(definition_unfolding,[],[f14,f13]) ).
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
% 0.05/0.07 % Problem : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.05/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.25 % Computer : n002.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Aug 30 01:51:28 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.34 % (331)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.10/0.35 % (330)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.10/0.35 % (328)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.10/0.35 % (340)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.10/0.36 % (340)First to succeed.
% 0.10/0.36 % (349)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.10/0.37 % (340)Refutation found. Thanks to Tanya!
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.37 % (340)------------------------------
% 0.10/0.37 % (340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.37 % (340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.37 % (340)Termination reason: Refutation
% 0.10/0.37
% 0.10/0.37 % (340)Memory used [KB]: 5500
% 0.10/0.37 % (340)Time elapsed: 0.068 s
% 0.10/0.37 % (340)Instructions burned: 6 (million)
% 0.10/0.37 % (340)------------------------------
% 0.10/0.37 % (340)------------------------------
% 0.10/0.37 % (325)Success in time 0.109 s
%------------------------------------------------------------------------------