TSTP Solution File: ARI114_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI114_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n011.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 15:47:28 EDT 2022

% Result   : Theorem 1.64s 0.60s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   19 (  16 unt;   3 typ;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   71 (   0 atm;  29 fun;  21 num;  21 var)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  19   !;   2   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ1_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ2_eqProxy: ( $real * $real ) > $o ).

tff(f964,plain,
    $false,
    inference(evaluation,[],[f961]) ).

tff(f961,plain,
    -10 != $sum(-5,-5),
    inference(superposition,[],[f854,f29]) ).

tff(f29,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    inference(literal_reordering,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f854,plain,
    ! [X32: $int] : ( -10 != $sum(-5,$product(-5,X32)) ),
    inference(superposition,[],[f89,f172]) ).

tff(f172,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,$product(X0,X1)) = $product(X0,$sum(1,X1)) ),
    inference(superposition,[],[f30,f29]) ).

tff(f30,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    inference(literal_reordering,[],[f18]) ).

tff(f18,plain,
    ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
    introduced(theory_axiom_155,[]) ).

tff(f89,plain,
    ! [X0: $int] : ( -10 != $product(-5,X0) ),
    inference(superposition,[],[f33,f26]) ).

tff(f26,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    inference(literal_reordering,[],[f14]) ).

tff(f14,plain,
    ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f33,plain,
    ! [X0: $int] : ( $product(X0,-5) != -10 ),
    inference(literal_reordering,[],[f22]) ).

tff(f22,plain,
    ! [X0: $int] : ( $product(X0,-5) != -10 ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] : ( $product(X0,-5) != -10 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $product(X0,-5) = -10 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $product(X0,-5) = -10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_what_n5_n10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI114=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 15:19:24 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (5043)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 (3000ds/191324Mi)
% 0.20/0.50  % (5051)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.51  % (5059)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 (3000ds/99Mi)
% 0.20/0.51  % (5066)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 (3000ds/467Mi)
% 0.20/0.51  % (5051)Instruction limit reached!
% 0.20/0.51  % (5051)------------------------------
% 0.20/0.51  % (5051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5051)Termination reason: Unknown
% 0.20/0.51  % (5051)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (5051)Memory used [KB]: 895
% 0.20/0.51  % (5051)Time elapsed: 0.003 s
% 0.20/0.51  % (5051)Instructions burned: 2 (million)
% 0.20/0.51  % (5051)------------------------------
% 0.20/0.51  % (5051)------------------------------
% 0.20/0.51  % (5052)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 (3000ds/51Mi)
% 0.20/0.51  % (5043)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.51  % (5043)Terminated due to inappropriate strategy.
% 0.20/0.51  % (5043)------------------------------
% 0.20/0.51  % (5043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5043)Termination reason: Inappropriate
% 0.20/0.51  
% 0.20/0.51  % (5043)Memory used [KB]: 895
% 0.20/0.51  % (5043)Time elapsed: 0.002 s
% 0.20/0.51  % (5043)Instructions burned: 1 (million)
% 0.20/0.51  % (5043)------------------------------
% 0.20/0.51  % (5043)------------------------------
% 0.20/0.51  % (5057)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 (3000ds/68Mi)
% 0.20/0.52  % (5048)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 (3000ds/48Mi)
% 0.20/0.52  % (5049)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  % (5049)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52  % (5049)Terminated due to inappropriate strategy.
% 0.20/0.52  % (5049)------------------------------
% 0.20/0.52  % (5049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (5049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5049)Termination reason: Inappropriate
% 0.20/0.52  
% 0.20/0.52  % (5049)Memory used [KB]: 895
% 0.20/0.52  % (5049)Time elapsed: 0.001 s
% 0.20/0.52  % (5049)------------------------------
% 0.20/0.52  % (5049)------------------------------
% 0.20/0.52  % (5069)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 (3000ds/68Mi)
% 0.20/0.52  % (5055)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.52  % (5045)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 (3000ds/37Mi)
% 0.20/0.53  % (5044)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.53  % (5072)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 (3000ds/355Mi)
% 0.20/0.53  % (5060)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.53  % (5060)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.53  % (5060)Terminated due to inappropriate strategy.
% 0.20/0.53  % (5060)------------------------------
% 0.20/0.53  % (5060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (5060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (5060)Termination reason: Inappropriate
% 0.20/0.53  
% 0.20/0.53  % (5060)Memory used [KB]: 895
% 0.20/0.53  % (5060)Time elapsed: 0.002 s
% 0.20/0.53  % (5060)Instructions burned: 2 (million)
% 0.20/0.53  % (5060)------------------------------
% 0.20/0.53  % (5060)------------------------------
% 0.20/0.53  % (5046)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (5047)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53  % (5068)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.53  % (5070)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 (3000ds/177Mi)
% 0.20/0.53  % (5065)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 (3000ds/498Mi)
% 0.20/0.53  % (5064)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.20/0.54  % (5062)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 (3000ds/100Mi)
% 0.20/0.54  % (5050)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.54  % (5061)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54  % (5050)Instruction limit reached!
% 0.20/0.54  % (5050)------------------------------
% 0.20/0.54  % (5050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (5050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (5050)Termination reason: Unknown
% 0.20/0.54  % (5050)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (5050)Memory used [KB]: 5500
% 0.20/0.54  % (5050)Time elapsed: 0.130 s
% 0.20/0.54  % (5050)Instructions burned: 7 (million)
% 0.20/0.54  % (5050)------------------------------
% 0.20/0.54  % (5050)------------------------------
% 0.20/0.54  % (5056)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.54  % (5063)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 (3000ds/176Mi)
% 0.20/0.54  % (5053)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.54  % (5067)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.54/0.55  % (5054)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.54/0.55  % (5058)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 (3000ds/75Mi)
% 1.54/0.55  % (5071)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.64/0.57  % (5052)Instruction limit reached!
% 1.64/0.57  % (5052)------------------------------
% 1.64/0.57  % (5052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59  % (5045)Instruction limit reached!
% 1.64/0.59  % (5045)------------------------------
% 1.64/0.59  % (5045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59  % (5045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59  % (5045)Termination reason: Unknown
% 1.64/0.59  % (5045)Termination phase: Saturation
% 1.64/0.59  
% 1.64/0.59  % (5045)Memory used [KB]: 1407
% 1.64/0.59  % (5045)Time elapsed: 0.181 s
% 1.64/0.59  % (5045)Instructions burned: 37 (million)
% 1.64/0.59  % (5045)------------------------------
% 1.64/0.59  % (5045)------------------------------
% 1.64/0.59  % (5052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59  % (5052)Termination reason: Unknown
% 1.64/0.59  % (5052)Termination phase: Saturation
% 1.64/0.59  
% 1.64/0.59  % (5052)Memory used [KB]: 1791
% 1.64/0.59  % (5052)Time elapsed: 0.158 s
% 1.64/0.59  % (5052)Instructions burned: 51 (million)
% 1.64/0.59  % (5052)------------------------------
% 1.64/0.59  % (5052)------------------------------
% 1.64/0.60  % (5069)First to succeed.
% 1.64/0.60  % (5069)Refutation found. Thanks to Tanya!
% 1.64/0.60  % SZS status Theorem for theBenchmark
% 1.64/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.60  % (5069)------------------------------
% 1.64/0.60  % (5069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.60  % (5069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.60  % (5069)Termination reason: Refutation
% 1.64/0.60  
% 1.64/0.60  % (5069)Memory used [KB]: 6524
% 1.64/0.60  % (5069)Time elapsed: 0.028 s
% 1.64/0.60  % (5069)Instructions burned: 55 (million)
% 1.64/0.60  % (5069)------------------------------
% 1.64/0.60  % (5069)------------------------------
% 1.64/0.60  % (5041)Success in time 0.24 s
%------------------------------------------------------------------------------