TSTP Solution File: CAT004-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT004-3 : 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 : n005.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 15:51:14 EDT 2022

% Result   : Unsatisfiable 1.56s 0.56s
% Output   : Refutation 1.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f140,plain,
    $false,
    inference(subsumption_resolution,[],[f139,f23]) ).

fof(f23,axiom,
    h != g,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).

fof(f139,plain,
    h = g,
    inference(equality_resolution,[],[f124]) ).

fof(f124,plain,
    ! [X1] :
      ( compose(X1,a) != compose(h,a)
      | g = X1 ),
    inference(superposition,[],[f24,f94]) ).

fof(f94,plain,
    compose(h,a) = compose(g,a),
    inference(equality_resolution,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( compose(h,compose(a,b)) != compose(X0,compose(X1,b))
      | compose(X0,X1) = compose(g,a) ),
    inference(superposition,[],[f47,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f47,plain,
    ! [X0] :
      ( compose(X0,b) != compose(h,compose(a,b))
      | compose(g,a) = X0 ),
    inference(superposition,[],[f35,f22]) ).

fof(f22,axiom,
    compose(h,compose(a,b)) = compose(g,compose(a,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).

fof(f35,plain,
    ! [X8,X6,X7] :
      ( compose(X6,compose(X7,b)) != compose(X8,b)
      | compose(X6,X7) = X8 ),
    inference(superposition,[],[f25,f9]) ).

fof(f25,plain,
    ! [X2,X0] :
      ( compose(X0,b) != compose(X2,b)
      | X0 = X2 ),
    inference(equality_resolution,[],[f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( compose(X2,b) != X1
      | X0 = X2
      | compose(X0,b) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).

fof(f24,plain,
    ! [X2,X0] :
      ( compose(X0,a) != compose(X2,a)
      | X0 = X2 ),
    inference(equality_resolution,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( X0 = X2
      | compose(X2,a) != X1
      | compose(X0,a) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CAT004-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n005.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   : Mon Aug 29 16:15:48 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (790)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)
% 0.20/0.50  % (803)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)
% 0.20/0.50  % (807)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (815)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)
% 0.20/0.51  % (794)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)
% 0.20/0.52  % (811)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)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  % (789)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)
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (791)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  % (788)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)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.53  TRYING [3]
% 0.20/0.53  % (799)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)
% 0.20/0.53  % (793)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)
% 0.20/0.53  % (800)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (790)Instruction limit reached!
% 0.20/0.53  % (790)------------------------------
% 0.20/0.53  % (790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (798)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (812)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)
% 0.20/0.53  % (804)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  % (813)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (801)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (790)Termination reason: Unknown
% 0.20/0.53  % (790)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (790)Memory used [KB]: 1279
% 0.20/0.53  % (790)Time elapsed: 0.144 s
% 0.20/0.53  % (790)Instructions burned: 37 (million)
% 0.20/0.53  % (790)------------------------------
% 0.20/0.53  % (790)------------------------------
% 0.20/0.53  TRYING [4]
% 0.20/0.54  % (816)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)
% 0.20/0.54  % (818)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)
% 0.20/0.54  % (792)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (797)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)
% 0.20/0.54  % (795)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (817)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (806)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (809)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)
% 0.20/0.55  % (795)Instruction limit reached!
% 0.20/0.55  % (795)------------------------------
% 0.20/0.55  % (795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (795)Termination reason: Unknown
% 0.20/0.55  % (795)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (795)Memory used [KB]: 5500
% 0.20/0.55  % (795)Time elapsed: 0.119 s
% 0.20/0.55  % (795)Instructions burned: 8 (million)
% 0.20/0.55  % (795)------------------------------
% 0.20/0.55  % (795)------------------------------
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (808)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)
% 1.56/0.55  % (805)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)
% 1.56/0.55  % (794)Instruction limit reached!
% 1.56/0.55  % (794)------------------------------
% 1.56/0.55  % (794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55  % (794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55  % (794)Termination reason: Unknown
% 1.56/0.55  % (794)Termination phase: Finite model building constraint generation
% 1.56/0.55  
% 1.56/0.55  % (794)Memory used [KB]: 6524
% 1.56/0.55  % (794)Time elapsed: 0.138 s
% 1.56/0.55  % (794)Instructions burned: 51 (million)
% 1.56/0.55  % (794)------------------------------
% 1.56/0.55  % (794)------------------------------
% 1.56/0.55  % (812)First to succeed.
% 1.56/0.55  % (796)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.56/0.56  % (810)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.56/0.56  % (812)Refutation found. Thanks to Tanya!
% 1.56/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.56/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.56  % (812)------------------------------
% 1.56/0.56  % (812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.56  % (812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.56  % (812)Termination reason: Refutation
% 1.56/0.56  
% 1.56/0.56  % (812)Memory used [KB]: 5500
% 1.56/0.56  % (812)Time elapsed: 0.123 s
% 1.56/0.56  % (812)Instructions burned: 9 (million)
% 1.56/0.56  % (812)------------------------------
% 1.56/0.56  % (812)------------------------------
% 1.56/0.56  % (783)Success in time 0.211 s
%------------------------------------------------------------------------------