TSTP Solution File: SET558-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET558-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n003.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 18:24:56 EDT 2022

% Result   : Unsatisfiable 1.31s 0.59s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f203,plain,
    $false,
    inference(subsumption_resolution,[],[f202,f115]) ).

fof(f115,axiom,
    cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_3) ).

fof(f202,plain,
    cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
    inference(forward_demodulation,[],[f201,f195]) ).

fof(f195,plain,
    domain_of(xh) = domain_of(domain_of(xf1)),
    inference(resolution,[],[f83,f114]) ).

fof(f114,axiom,
    compatible(xh,xf1,xf2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_2) ).

fof(f83,axiom,
    ! [X10,X11,X9] :
      ( ~ compatible(X9,X10,X11)
      | domain_of(domain_of(X10)) = domain_of(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatible2) ).

fof(f201,plain,
    domain_of(xf1) = cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),
    inference(resolution,[],[f79,f113]) ).

fof(f113,axiom,
    operation(xf1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_1) ).

fof(f79,axiom,
    ! [X8] :
      ( ~ operation(X8)
      | domain_of(X8) = cross_product(domain_of(domain_of(X8)),domain_of(domain_of(X8))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operation2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET558-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 13:59:07 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.31/0.54  % (20057)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.54  % (20043)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)
% 1.31/0.54  % (20042)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)
% 1.31/0.55  % (20046)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.31/0.55  % (20069)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.55  % (20053)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.31/0.55  % (20064)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)
% 1.31/0.56  % (20056)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)
% 1.31/0.56  % (20049)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.56  % (20049)Instruction limit reached!
% 1.31/0.56  % (20049)------------------------------
% 1.31/0.56  % (20049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.56  % (20049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.56  % (20049)Termination reason: Unknown
% 1.31/0.56  % (20049)Termination phase: Equality resolution with deletion
% 1.31/0.56  
% 1.31/0.56  % (20049)Memory used [KB]: 1023
% 1.31/0.56  % (20049)Time elapsed: 0.002 s
% 1.31/0.56  % (20049)Instructions burned: 3 (million)
% 1.31/0.56  % (20049)------------------------------
% 1.31/0.56  % (20049)------------------------------
% 1.31/0.56  % (20055)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)
% 1.31/0.56  % (20060)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)
% 1.31/0.56  % (20061)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)
% 1.31/0.56  % (20048)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.31/0.57  % (20043)First to succeed.
% 1.31/0.57  % (20041)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)
% 1.31/0.57  % (20063)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)
% 1.31/0.57  % (20052)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)
% 1.31/0.57  % (20048)Instruction limit reached!
% 1.31/0.57  % (20048)------------------------------
% 1.31/0.57  % (20048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.57  % (20048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.57  % (20048)Termination reason: Unknown
% 1.31/0.57  % (20048)Termination phase: Saturation
% 1.31/0.57  
% 1.31/0.57  % (20048)Memory used [KB]: 5500
% 1.31/0.57  % (20048)Time elapsed: 0.091 s
% 1.31/0.57  % (20048)Instructions burned: 7 (million)
% 1.31/0.57  % (20048)------------------------------
% 1.31/0.57  % (20048)------------------------------
% 1.31/0.58  % (20065)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.31/0.58  % (20068)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)
% 1.31/0.59  % (20043)Refutation found. Thanks to Tanya!
% 1.31/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.31/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.59  % (20043)------------------------------
% 1.31/0.59  % (20043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.59  % (20043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.59  % (20043)Termination reason: Refutation
% 1.31/0.59  
% 1.31/0.59  % (20043)Memory used [KB]: 1279
% 1.31/0.59  % (20043)Time elapsed: 0.145 s
% 1.31/0.59  % (20043)Instructions burned: 12 (million)
% 1.31/0.59  % (20043)------------------------------
% 1.31/0.59  % (20043)------------------------------
% 1.31/0.59  % (20040)Success in time 0.229 s
%------------------------------------------------------------------------------