TSTP Solution File: KLE070+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE070+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n012.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 17:29:02 EDT 2022

% Result   : Theorem 1.57s 0.57s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  25 unt;   0 def)
%            Number of atoms       :   27 (  26 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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   :   42 (  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f295,plain,
    $false,
    inference(trivial_inequality_removal,[],[f294]) ).

fof(f294,plain,
    domain(sK1) != domain(sK1),
    inference(backward_demodulation,[],[f44,f293]) ).

fof(f293,plain,
    ! [X0,X1] : addition(X1,multiplication(X1,domain(X0))) = X1,
    inference(forward_demodulation,[],[f275,f57]) ).

fof(f57,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f275,plain,
    ! [X0,X1] : addition(multiplication(X1,one),multiplication(X1,domain(X0))) = multiplication(X1,one),
    inference(superposition,[],[f46,f89]) ).

fof(f89,plain,
    ! [X1] : one = addition(one,domain(X1)),
    inference(superposition,[],[f52,f47]) ).

fof(f47,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).

fof(f52,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(domain(X3),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).

fof(f46,plain,
    ! [X2,X0,X1] : addition(multiplication(X1,X2),multiplication(X1,X0)) = multiplication(X1,addition(X2,X0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] : addition(multiplication(X1,X2),multiplication(X1,X0)) = multiplication(X1,addition(X2,X0)),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ! [X2,X1,X0] : multiplication(X1,addition(X0,X2)) = addition(multiplication(X1,X0),multiplication(X1,X2)),
    inference(rectify,[],[f8]) ).

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

fof(f44,plain,
    addition(domain(sK1),multiplication(domain(sK1),domain(sK0))) != domain(sK1),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    addition(domain(sK1),multiplication(domain(sK1),domain(sK0))) != domain(sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f32,f33]) ).

fof(f33,plain,
    ( ? [X0,X1] : domain(X1) != addition(domain(X1),multiplication(domain(X1),domain(X0)))
   => addition(domain(sK1),multiplication(domain(sK1),domain(sK0))) != domain(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ? [X0,X1] : domain(X1) != addition(domain(X1),multiplication(domain(X1),domain(X0))),
    inference(rectify,[],[f30]) ).

fof(f30,plain,
    ? [X1,X0] : addition(domain(X0),multiplication(domain(X0),domain(X1))) != domain(X0),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ! [X0,X1] : addition(domain(X0),multiplication(domain(X0),domain(X1))) = domain(X0),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4] : domain(X3) = addition(domain(X3),multiplication(domain(X3),domain(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KLE070+1 : TPTP v8.1.0. Released v4.0.0.
% 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
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 00:24:06 EDT 2022
% 0.20/0.34  % CPUTime    : 
% 0.20/0.49  % (16745)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)
% 0.20/0.50  % (16753)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)
% 0.20/0.51  % (16744)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)
% 0.20/0.51  % (16748)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (16760)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)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (16761)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51  % (16768)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (16747)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)
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (16752)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (16752)Instruction limit reached!
% 0.20/0.52  % (16752)------------------------------
% 0.20/0.52  % (16752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (16752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (16752)Termination reason: Unknown
% 0.20/0.52  % (16752)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (16752)Memory used [KB]: 5373
% 0.20/0.52  % (16752)Time elapsed: 0.116 s
% 0.20/0.52  % (16752)Instructions burned: 3 (million)
% 0.20/0.52  % (16752)------------------------------
% 0.20/0.52  % (16752)------------------------------
% 0.20/0.52  % (16746)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)
% 0.20/0.52  % (16749)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)
% 0.20/0.52  TRYING [4]
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (16750)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)
% 0.20/0.53  % (16772)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (16771)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)
% 0.20/0.53  % (16759)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)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (16762)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (16758)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)
% 0.20/0.53  % (16766)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)
% 0.20/0.53  TRYING [3]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (16763)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)
% 0.20/0.53  % (16754)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (16764)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)
% 0.20/0.54  % (16765)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  TRYING [4]
% 0.20/0.54  % (16767)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)
% 0.20/0.54  % (16770)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)
% 0.20/0.54  % (16756)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  % (16757)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (16755)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)
% 0.20/0.55  % (16769)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  % (16751)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (16774)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)
% 0.20/0.55  TRYING [4]
% 0.20/0.55  % (16774)First to succeed.
% 0.20/0.56  % (16751)Instruction limit reached!
% 0.20/0.56  % (16751)------------------------------
% 0.20/0.56  % (16751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (16751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (16751)Termination reason: Unknown
% 1.57/0.57  % (16751)Termination phase: Saturation
% 1.57/0.57  
% 1.57/0.57  % (16751)Memory used [KB]: 5500
% 1.57/0.57  % (16751)Time elapsed: 0.162 s
% 1.57/0.57  % (16751)Instructions burned: 7 (million)
% 1.57/0.57  % (16751)------------------------------
% 1.57/0.57  % (16751)------------------------------
% 1.57/0.57  % (16767)Also succeeded, but the first one will report.
% 1.57/0.57  % (16750)Instruction limit reached!
% 1.57/0.57  % (16750)------------------------------
% 1.57/0.57  % (16750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (16750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (16750)Termination reason: Unknown
% 1.57/0.57  % (16750)Termination phase: Finite model building constraint generation
% 1.57/0.57  
% 1.57/0.57  % (16750)Memory used [KB]: 8187
% 1.57/0.57  % (16750)Time elapsed: 0.154 s
% 1.57/0.57  % (16750)Instructions burned: 52 (million)
% 1.57/0.57  % (16750)------------------------------
% 1.57/0.57  % (16750)------------------------------
% 1.57/0.57  % (16774)Refutation found. Thanks to Tanya!
% 1.57/0.57  % SZS status Theorem for theBenchmark
% 1.57/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.57  % (16774)------------------------------
% 1.57/0.57  % (16774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57  % (16774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57  % (16774)Termination reason: Refutation
% 1.57/0.57  
% 1.57/0.57  % (16774)Memory used [KB]: 5628
% 1.57/0.57  % (16774)Time elapsed: 0.153 s
% 1.57/0.57  % (16774)Instructions burned: 9 (million)
% 1.57/0.57  % (16774)------------------------------
% 1.57/0.57  % (16774)------------------------------
% 1.57/0.57  % (16742)Success in time 0.216 s
%------------------------------------------------------------------------------