TSTP Solution File: LCL748-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL748-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n021.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 17:49:50 EDT 2022

% Result   : Unsatisfiable 1.74s 0.59s
% Output   : Refutation 1.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (  10 unt;   0 def)
%            Number of atoms       :   12 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f473,plain,
    $false,
    inference(subsumption_resolution,[],[f472,f344]) ).

fof(f344,axiom,
    ! [X15] : c_InductTermi_OIT(c_Lambda_Olift(v_r,X15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f472,plain,
    ~ c_InductTermi_OIT(c_Lambda_Olift(v_r,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ia,tc_nat))),
    inference(resolution,[],[f339,f448]) ).

fof(f448,plain,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Olift(v_r,c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),v_ia,tc_nat)))),
    inference(forward_demodulation,[],[f447,f435]) ).

fof(f435,plain,
    ! [X5] : c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X5,tc_nat),
    inference(definition_unfolding,[],[f308,f307]) ).

fof(f307,axiom,
    ! [X5] : c_Suc(X5) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).

fof(f308,axiom,
    ! [X5] : c_Suc(X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),X5,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__eq__plus1__left_0) ).

fof(f447,plain,
    ~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Olift(v_r,c_HOL_Oplus__class_Oplus(v_ia,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))),
    inference(backward_demodulation,[],[f345,f332]) ).

fof(f332,axiom,
    ! [X16,X17] : c_Lambda_Olift(c_Lambda_OdB_OAbs(X16),X17) = c_Lambda_OdB_OAbs(c_Lambda_Olift(X16,c_HOL_Oplus__class_Oplus(X17,c_HOL_Oone__class_Oone(tc_nat),tc_nat))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_lift_Osimps_I3_J_0) ).

fof(f345,axiom,
    ~ c_InductTermi_OIT(c_Lambda_Olift(c_Lambda_OdB_OAbs(v_r),v_ia)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f339,axiom,
    ! [X24] :
      ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X24))
      | ~ c_InductTermi_OIT(X24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Lambda_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL748-1 : TPTP v8.1.0. Released v4.1.0.
% 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
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 02:31:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.52  % (27233)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53  % (27229)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (27221)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  % (27231)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (27244)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)
% 0.19/0.54  % (27236)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)
% 0.19/0.54  % (27238)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (27225)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (27224)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)
% 0.19/0.54  % (27226)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)
% 0.19/0.54  % (27227)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)
% 0.19/0.54  % (27247)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)
% 0.19/0.54  % (27232)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)
% 0.19/0.55  % (27234)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55  % (27228)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (27229)Instruction limit reached!
% 0.19/0.55  % (27229)------------------------------
% 0.19/0.55  % (27229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (27229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (27229)Termination reason: Unknown
% 0.19/0.55  % (27229)Termination phase: Function definition elimination
% 0.19/0.55  
% 0.19/0.55  % (27229)Memory used [KB]: 1279
% 0.19/0.55  % (27229)Time elapsed: 0.004 s
% 0.19/0.55  % (27229)Instructions burned: 3 (million)
% 0.19/0.55  % (27229)------------------------------
% 0.19/0.55  % (27229)------------------------------
% 0.19/0.55  % (27228)Instruction limit reached!
% 0.19/0.55  % (27228)------------------------------
% 0.19/0.55  % (27228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (27228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (27228)Termination reason: Unknown
% 0.19/0.55  % (27228)Termination phase: Saturation
% 0.19/0.55  
% 0.19/0.55  % (27228)Memory used [KB]: 5756
% 0.19/0.55  % (27228)Time elapsed: 0.006 s
% 0.19/0.55  % (27228)Instructions burned: 7 (million)
% 0.19/0.55  % (27228)------------------------------
% 0.19/0.55  % (27228)------------------------------
% 0.19/0.55  % (27235)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)
% 0.19/0.55  % (27222)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)
% 0.19/0.56  % (27249)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56  % (27246)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56  % (27240)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)
% 0.19/0.56  % (27241)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)
% 0.19/0.56  % (27242)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.57  % (27248)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)
% 0.19/0.57  % (27243)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)
% 0.19/0.57  % (27244)First to succeed.
% 0.19/0.57  % (27239)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57  % (27223)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)
% 0.19/0.58  % (27250)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)
% 1.74/0.59  % (27244)Refutation found. Thanks to Tanya!
% 1.74/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.74/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.74/0.59  % (27244)------------------------------
% 1.74/0.59  % (27244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.59  % (27244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.59  % (27244)Termination reason: Refutation
% 1.74/0.59  
% 1.74/0.59  % (27244)Memory used [KB]: 6012
% 1.74/0.59  % (27244)Time elapsed: 0.117 s
% 1.74/0.59  % (27244)Instructions burned: 24 (million)
% 1.74/0.59  % (27244)------------------------------
% 1.74/0.59  % (27244)------------------------------
% 1.74/0.59  % (27220)Success in time 0.239 s
%------------------------------------------------------------------------------