TSTP Solution File: RNG037-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG037-1 : 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_uns --cores 0 -t %d %s

% Computer : n028.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 18:14:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   15 (  12 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f520,plain,
    $false,
    inference(subsumption_resolution,[],[f495,f411]) ).

fof(f411,plain,
    ~ sum(additive_inverse(d),multiply(a,additive_identity),c),
    inference(unit_resulting_resolution,[],[f20,f5,f52,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X1,X3,X4)
      | ~ sum(X0,X4,X5)
      | ~ sum(X0,X1,X2)
      | sum(X2,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).

fof(f52,plain,
    sum(multiply(a,additive_identity),d,d),
    inference(unit_resulting_resolution,[],[f18,f1,f3,f18,f12]) ).

fof(f12,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ product(X0,X8,X9)
      | ~ product(X0,X1,X6)
      | sum(X6,X7,X9)
      | ~ sum(X1,X3,X8)
      | ~ product(X0,X3,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).

fof(f1,axiom,
    ! [X0] : sum(additive_identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).

fof(f18,axiom,
    product(a,b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b) ).

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

fof(f20,axiom,
    ~ sum(c,d,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_is_additive_identity) ).

fof(f495,plain,
    sum(additive_inverse(d),multiply(a,additive_identity),c),
    inference(unit_resulting_resolution,[],[f5,f1,f86,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ sum(X2,X3,X5)
      | ~ sum(X0,X1,X2)
      | ~ sum(X1,X3,X4)
      | sum(X0,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).

fof(f86,plain,
    sum(d,c,multiply(a,additive_identity)),
    inference(unit_resulting_resolution,[],[f3,f18,f6,f19,f12]) ).

fof(f19,axiom,
    product(a,additive_inverse(b),c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_inverse_times_b) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG037-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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 12:04:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (25501)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50  % (25492)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (25481)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (25498)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (25480)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50  % (25484)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (25492)Instruction limit reached!
% 0.20/0.50  % (25492)------------------------------
% 0.20/0.50  % (25492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (25492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (25492)Termination reason: Unknown
% 0.20/0.50  % (25492)Termination phase: Finite model building SAT solving
% 0.20/0.50  
% 0.20/0.50  % (25492)Memory used [KB]: 6012
% 0.20/0.50  % (25492)Time elapsed: 0.054 s
% 0.20/0.50  % (25492)Instructions burned: 6 (million)
% 0.20/0.50  % (25492)------------------------------
% 0.20/0.50  % (25492)------------------------------
% 0.20/0.51  % (25483)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51  % (25479)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51  % (25477)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (25478)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.51  % (25489)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51  % (25497)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (25489)Instruction limit reached!
% 0.20/0.52  % (25489)------------------------------
% 0.20/0.52  % (25489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (25498)Instruction limit reached!
% 0.20/0.52  % (25498)------------------------------
% 0.20/0.52  % (25498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (25489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (25489)Termination reason: Unknown
% 0.20/0.52  % (25489)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (25489)Memory used [KB]: 5884
% 0.20/0.52  % (25489)Time elapsed: 0.108 s
% 0.20/0.52  % (25489)Instructions burned: 5 (million)
% 0.20/0.52  % (25489)------------------------------
% 0.20/0.52  % (25489)------------------------------
% 0.20/0.52  % (25498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (25498)Termination reason: Unknown
% 0.20/0.52  % (25498)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (25498)Memory used [KB]: 1535
% 0.20/0.52  % (25498)Time elapsed: 0.117 s
% 0.20/0.52  % (25498)Instructions burned: 6 (million)
% 0.20/0.52  % (25498)------------------------------
% 0.20/0.52  % (25498)------------------------------
% 0.20/0.52  % (25488)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (25490)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (25505)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53  % (25503)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53  % (25502)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53  % (25504)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53  % (25482)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (25481)First to succeed.
% 0.20/0.53  % (25479)Instruction limit reached!
% 0.20/0.53  % (25479)------------------------------
% 0.20/0.53  % (25479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25479)Termination reason: Unknown
% 0.20/0.53  % (25479)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (25479)Memory used [KB]: 5884
% 0.20/0.53  % (25479)Time elapsed: 0.127 s
% 0.20/0.53  % (25479)Instructions burned: 5 (million)
% 0.20/0.53  % (25479)------------------------------
% 0.20/0.53  % (25479)------------------------------
% 0.20/0.53  % (25496)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53  % (25481)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (25481)------------------------------
% 0.20/0.53  % (25481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (25481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (25481)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (25481)Memory used [KB]: 6140
% 0.20/0.53  % (25481)Time elapsed: 0.108 s
% 0.20/0.53  % (25481)Instructions burned: 28 (million)
% 0.20/0.53  % (25481)------------------------------
% 0.20/0.53  % (25481)------------------------------
% 0.20/0.53  % (25471)Success in time 0.181 s
%------------------------------------------------------------------------------