TSTP Solution File: LCL161-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -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 : Wed Aug 31 17:47:04 EDT 2022

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : Refutation 0.20s
% 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(f117,plain,
    $false,
    inference(unit_resulting_resolution,[],[f45,f78]) ).

fof(f78,plain,
    ! [X0] : xor(truth,xor(truth,X0)) = X0,
    inference(forward_demodulation,[],[f64,f24]) ).

fof(f24,plain,
    ! [X0] : xor(falsehood,X0) = X0,
    inference(superposition,[],[f9,f2]) ).

fof(f2,axiom,
    ! [X0] : xor(X0,falsehood) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f9,axiom,
    ! [X0,X1] : xor(X0,X1) = xor(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xor_commutativity) ).

fof(f64,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/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f7,axiom,
    ! [X0,X1] : xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f45,plain,
    x != xor(truth,xor(truth,x)),
    inference(backward_demodulation,[],[f16,f36]) ).

fof(f36,plain,
    ! [X0] : and_star(truth,X0) = X0,
    inference(superposition,[],[f11,f4]) ).

fof(f4,axiom,
    ! [X0] : and_star(X0,truth) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f11,axiom,
    ! [X0,X1] : and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_star_commutativity) ).

fof(f16,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/sandbox2/benchmark/theBenchmark.p',implies_definition) ).

fof(f14,axiom,
    x != implies(truth,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL161-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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   : Tue Aug 30 01:03:50 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (28819)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (28801)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  % (28818)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (28809)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (28817)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55  % (28796)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  % (28810)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (28795)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  TRYING [2]
% 0.20/0.56  % (28815)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56  % (28807)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  % (28812)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56  % (28794)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56  % (28793)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (28802)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (28820)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.57  % (28804)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.57  TRYING [3]
% 0.20/0.57  % (28811)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.57  % (28800)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (28792)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.57  % (28806)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.57  TRYING [1]
% 0.20/0.58  TRYING [4]
% 0.20/0.58  % (28798)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (28799)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (28816)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.58  TRYING [1]
% 0.20/0.58  TRYING [2]
% 0.20/0.58  TRYING [3]
% 0.20/0.58  % (28803)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.58  % (28814)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.58  TRYING [2]
% 0.20/0.58  TRYING [3]
% 0.20/0.58  % (28793)First to succeed.
% 0.20/0.59  % (28800)Instruction limit reached!
% 0.20/0.59  % (28800)------------------------------
% 0.20/0.59  % (28800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (28800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (28800)Termination reason: Unknown
% 0.20/0.59  % (28800)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (28800)Memory used [KB]: 5373
% 0.20/0.59  % (28800)Time elapsed: 0.002 s
% 0.20/0.59  % (28800)Instructions burned: 2 (million)
% 0.20/0.59  % (28800)------------------------------
% 0.20/0.59  % (28800)------------------------------
% 0.20/0.59  % (28793)Refutation found. Thanks to Tanya!
% 0.20/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59  % (28793)------------------------------
% 0.20/0.59  % (28793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (28793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (28793)Termination reason: Refutation
% 0.20/0.59  
% 0.20/0.59  % (28793)Memory used [KB]: 5500
% 0.20/0.59  % (28793)Time elapsed: 0.167 s
% 0.20/0.59  % (28793)Instructions burned: 7 (million)
% 0.20/0.59  % (28793)------------------------------
% 0.20/0.59  % (28793)------------------------------
% 0.20/0.59  % (28791)Success in time 0.227 s
%------------------------------------------------------------------------------