TSTP Solution File: RNG014-6 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG014-6 : 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 : n001.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 18:15:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 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   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f389,plain,
    $false,
    inference(trivial_inequality_removal,[],[f387]) ).

fof(f387,plain,
    multiply(a,additive_inverse(b)) != multiply(a,additive_inverse(b)),
    inference(backward_demodulation,[],[f16,f386]) ).

fof(f386,plain,
    ! [X14,X13] : multiply(X13,additive_inverse(X14)) = additive_inverse(multiply(X13,X14)),
    inference(forward_demodulation,[],[f375,f2]) ).

fof(f2,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_identity) ).

fof(f375,plain,
    ! [X14,X13] : add(additive_inverse(multiply(X13,X14)),additive_identity) = multiply(X13,additive_inverse(X14)),
    inference(superposition,[],[f53,f144]) ).

fof(f144,plain,
    ! [X2,X3] : additive_identity = add(multiply(X3,X2),multiply(X3,additive_inverse(X2))),
    inference(forward_demodulation,[],[f82,f4]) ).

fof(f4,axiom,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_multiplicative_zero) ).

fof(f82,plain,
    ! [X2,X3] : multiply(X3,additive_identity) = add(multiply(X3,X2),multiply(X3,additive_inverse(X2))),
    inference(superposition,[],[f8,f6]) ).

fof(f6,axiom,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_inverse) ).

fof(f8,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).

fof(f53,plain,
    ! [X16,X17] : add(additive_inverse(X16),add(X16,X17)) = X17,
    inference(forward_demodulation,[],[f44,f1]) ).

fof(f1,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).

fof(f44,plain,
    ! [X16,X17] : add(additive_identity,X17) = add(additive_inverse(X16),add(X16,X17)),
    inference(superposition,[],[f11,f5]) ).

fof(f5,axiom,
    ! [X0] : additive_identity = add(additive_inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).

fof(f11,axiom,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).

fof(f16,axiom,
    multiply(a,additive_inverse(b)) != additive_inverse(multiply(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : RNG014-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 12:36:01 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.50  % (2005)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)
% 0.19/0.50  % (2017)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (2007)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)
% 0.19/0.51  % (2030)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51  % (2012)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (2012)Instruction limit reached!
% 0.19/0.51  % (2012)------------------------------
% 0.19/0.51  % (2012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (2028)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)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  % (2012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (2012)Termination reason: Unknown
% 0.19/0.51  % (2012)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (2012)Memory used [KB]: 5500
% 0.19/0.51  % (2012)Time elapsed: 0.127 s
% 0.19/0.51  % (2012)Instructions burned: 7 (million)
% 0.19/0.51  % (2012)------------------------------
% 0.19/0.51  % (2012)------------------------------
% 0.19/0.51  TRYING [2]
% 0.19/0.51  TRYING [3]
% 0.19/0.51  % (2032)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)
% 0.19/0.51  % (2019)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)
% 0.19/0.52  % (2024)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)
% 0.19/0.52  % (2009)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (2006)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)
% 0.19/0.52  % (2010)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)
% 0.19/0.52  % (2008)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)
% 0.19/0.52  % (2022)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  % (2016)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)
% 0.19/0.52  % (2013)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (2013)Instruction limit reached!
% 0.19/0.52  % (2013)------------------------------
% 0.19/0.52  % (2013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (2013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (2013)Termination reason: Unknown
% 0.19/0.52  % (2013)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (2013)Memory used [KB]: 5373
% 0.19/0.52  % (2013)Time elapsed: 0.134 s
% 0.19/0.52  % (2013)Instructions burned: 3 (million)
% 0.19/0.52  % (2013)------------------------------
% 0.19/0.52  % (2013)------------------------------
% 0.19/0.52  % (2018)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (2015)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (2011)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)
% 0.19/0.52  % (2014)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)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.53  % (2029)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  TRYING [4]
% 0.19/0.53  % (2031)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)
% 0.19/0.53  % (2033)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53  % (2034)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (2027)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)
% 0.19/0.54  % (2023)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (2026)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (2025)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)
% 0.19/0.54  % (2021)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)
% 0.19/0.55  TRYING [3]
% 0.19/0.55  TRYING [4]
% 0.19/0.55  % (2020)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)
% 0.19/0.56  % (2034)First to succeed.
% 0.19/0.56  % (2034)Refutation found. Thanks to Tanya!
% 0.19/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56  % (2034)------------------------------
% 0.19/0.56  % (2034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (2034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (2034)Termination reason: Refutation
% 0.19/0.56  
% 0.19/0.56  % (2034)Memory used [KB]: 5628
% 0.19/0.56  % (2034)Time elapsed: 0.181 s
% 0.19/0.56  % (2034)Instructions burned: 16 (million)
% 0.19/0.56  % (2034)------------------------------
% 0.19/0.56  % (2034)------------------------------
% 0.19/0.56  % (2004)Success in time 0.221 s
%------------------------------------------------------------------------------