TSTP Solution File: RNG006-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG006-1 : 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_sat --cores 0 -t %d %s

% Computer : n017.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 18:15:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   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    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(subsumption_resolution,[],[f78,f25]) ).

fof(f25,axiom,
    ~ product(a,bS_Ic,aPb_S_IaPc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).

fof(f78,plain,
    product(a,bS_Ic,aPb_S_IaPc),
    inference(resolution,[],[f77,f24]) ).

fof(f24,axiom,
    sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aPb_plus_IaPc) ).

fof(f77,plain,
    ! [X0] :
      ( ~ sum(aPb,additive_inverse(aPc),X0)
      | product(a,bS_Ic,X0) ),
    inference(resolution,[],[f76,f23]) ).

fof(f23,axiom,
    product(a,c,aPc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ product(a,c,X0)
      | ~ sum(aPb,additive_inverse(X0),X1)
      | product(a,bS_Ic,X1) ),
    inference(resolution,[],[f70,f18]) ).

fof(f18,axiom,
    ! [X10,X11,X12] :
      ( product(X10,additive_inverse(X11),additive_inverse(X12))
      | ~ product(X10,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_lemma1) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ product(a,additive_inverse(c),X0)
      | ~ sum(aPb,X0,X1)
      | product(a,bS_Ic,X1) ),
    inference(resolution,[],[f55,f22]) ).

fof(f22,axiom,
    product(a,b,aPb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b) ).

fof(f55,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,b,X2)
      | ~ product(X0,additive_inverse(c),X1)
      | ~ sum(X2,X1,X3)
      | product(X0,bS_Ic,X3) ),
    inference(resolution,[],[f13,f21]) ).

fof(f21,axiom,
    sum(b,additive_inverse(c),bS_Ic),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_plus_inverse_c) ).

fof(f13,axiom,
    ! [X3,X0,X1,X8,X6,X9,X7] :
      ( ~ sum(X1,X3,X8)
      | ~ product(X0,X3,X7)
      | ~ product(X0,X1,X6)
      | ~ sum(X6,X7,X9)
      | product(X0,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % 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 : n017.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 11:06:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (9713)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)
% 0.19/0.50  % (9733)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)
% 0.19/0.50  TRYING [1]
% 0.19/0.50  % (9721)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)
% 0.19/0.50  TRYING [2]
% 0.19/0.50  % (9710)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)
% 0.19/0.50  % (9712)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)
% 0.19/0.50  TRYING [3]
% 0.19/0.50  % (9709)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  % (9711)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (9718)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)
% 0.19/0.51  % (9715)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (9717)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  % (9730)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)
% 0.19/0.52  % (9722)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)
% 0.19/0.52  % (9719)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52  % (9708)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  % (9735)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  % (9715)Instruction limit reached!
% 0.19/0.53  % (9715)------------------------------
% 0.19/0.53  % (9715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9715)Termination reason: Unknown
% 0.19/0.53  % (9715)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (9715)Memory used [KB]: 5373
% 0.19/0.53  % (9715)Time elapsed: 0.118 s
% 0.19/0.53  % (9715)Instructions burned: 2 (million)
% 0.19/0.53  % (9715)------------------------------
% 0.19/0.53  % (9715)------------------------------
% 0.19/0.53  % (9708)Refutation not found, incomplete strategy% (9708)------------------------------
% 0.19/0.53  % (9708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9734)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)
% 0.19/0.53  % (9729)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)
% 0.19/0.53  % (9726)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)
% 0.19/0.53  % (9716)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)
% 0.19/0.53  % (9736)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  % (9732)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53  % (9724)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (9707)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)
% 0.19/0.53  % (9728)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (9725)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (9720)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (9723)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)
% 0.19/0.53  TRYING [1]
% 0.19/0.54  TRYING [2]
% 0.19/0.54  % (9731)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (9708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9708)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (9708)Memory used [KB]: 5500
% 0.19/0.54  % (9708)Time elapsed: 0.123 s
% 0.19/0.54  % (9708)Instructions burned: 4 (million)
% 0.19/0.54  % (9708)------------------------------
% 0.19/0.54  % (9708)------------------------------
% 0.19/0.54  % (9727)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  % (9714)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (9714)Instruction limit reached!
% 0.19/0.54  % (9714)------------------------------
% 0.19/0.54  % (9714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9714)Termination reason: Unknown
% 0.19/0.54  % (9714)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (9714)Memory used [KB]: 5500
% 0.19/0.54  % (9714)Time elapsed: 0.111 s
% 0.19/0.54  % (9714)Instructions burned: 7 (million)
% 0.19/0.54  % (9714)------------------------------
% 0.19/0.54  % (9714)------------------------------
% 0.19/0.54  % (9713)Instruction limit reached!
% 0.19/0.54  % (9713)------------------------------
% 0.19/0.54  % (9713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (9713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (9713)Termination reason: Unknown
% 0.19/0.54  % (9713)Termination phase: Finite model building SAT solving
% 0.19/0.54  
% 0.19/0.54  % (9713)Memory used [KB]: 7419
% 0.19/0.54  % (9713)Time elapsed: 0.119 s
% 0.19/0.54  % (9713)Instructions burned: 51 (million)
% 0.19/0.54  % (9713)------------------------------
% 0.19/0.54  % (9713)------------------------------
% 0.19/0.54  % (9730)First to succeed.
% 0.19/0.55  % (9730)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (9730)------------------------------
% 0.19/0.55  % (9730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (9730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (9730)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (9730)Memory used [KB]: 5500
% 0.19/0.55  % (9730)Time elapsed: 0.090 s
% 0.19/0.55  % (9730)Instructions burned: 11 (million)
% 0.19/0.55  % (9730)------------------------------
% 0.19/0.55  % (9730)------------------------------
% 0.19/0.55  % (9703)Success in time 0.197 s
%------------------------------------------------------------------------------