TSTP Solution File: SWV824-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV824-1 : 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 : 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 19:01:46 EDT 2022

% Result   : Unsatisfiable 2.34s 0.73s
% Output   : Refutation 2.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   8   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1090,plain,
    $false,
    inference(subsumption_resolution,[],[f1089,f764]) ).

fof(f764,plain,
    ~ v_fun1(v_x,v_xa),
    inference(consistent_polarity_flipping,[],[f671]) ).

fof(f671,axiom,
    v_fun1(v_x,v_xa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1089,plain,
    v_fun1(v_x,v_xa),
    inference(resolution,[],[f1085,f727]) ).

fof(f727,plain,
    ~ c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
    inference(consistent_polarity_flipping,[],[f672]) ).

fof(f672,axiom,
    c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1085,plain,
    ! [X0] :
      ( c_Natural_Oevaln(v_com,X0,v_n,v_xb)
      | v_fun1(v_x,X0) ),
    inference(resolution,[],[f769,f813]) ).

fof(f813,plain,
    ! [X0] :
      ( c_Natural_Oevaln(v_com,X0,c_Suc(v_n),v_xb)
      | v_fun1(v_x,X0) ),
    inference(resolution,[],[f755,f718]) ).

fof(f718,plain,
    v_fun2(v_x,v_xb),
    inference(consistent_polarity_flipping,[],[f673]) ).

fof(f673,axiom,
    ~ v_fun2(v_x,v_xb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f755,plain,
    ! [X51,X36,X43] :
      ( ~ v_fun2(X51,X43)
      | v_fun1(X51,X36)
      | c_Natural_Oevaln(v_com,X36,c_Suc(v_n),X43) ),
    inference(consistent_polarity_flipping,[],[f674]) ).

fof(f674,axiom,
    ! [X51,X36,X43] :
      ( ~ v_fun1(X51,X36)
      | ~ c_Natural_Oevaln(v_com,X36,c_Suc(v_n),X43)
      | v_fun2(X51,X43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f769,plain,
    ! [X36,X1,X6,X43] :
      ( ~ c_Natural_Oevaln(X6,X36,c_Suc(X1),X43)
      | c_Natural_Oevaln(X6,X36,X1,X43) ),
    inference(consistent_polarity_flipping,[],[f636]) ).

fof(f636,axiom,
    ! [X36,X1,X6,X43] :
      ( ~ c_Natural_Oevaln(X6,X36,X1,X43)
      | c_Natural_Oevaln(X6,X36,c_Suc(X1),X43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV824-1 : 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
% 0.13/0.35  % Computer : n005.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   : Tue Aug 30 20:01:03 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.26/0.55  % (18549)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)
% 1.26/0.56  % (18557)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.26/0.57  % (18568)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.26/0.57  % (18570)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)
% 1.26/0.57  % (18560)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.26/0.57  % (18562)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)
% 1.26/0.57  % (18576)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)
% 1.26/0.57  % (18551)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.26/0.57  % (18566)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)
% 1.26/0.58  % (18552)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)
% 1.26/0.58  % (18573)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)
% 1.26/0.58  % (18561)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)
% 1.26/0.58  % (18553)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)
% 1.26/0.58  % (18548)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)
% 1.26/0.59  % (18554)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.26/0.59  % (18547)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)
% 1.26/0.59  % (18564)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.26/0.59  % (18569)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)
% 1.26/0.59  % (18574)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)
% 1.26/0.60  % (18550)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)
% 1.26/0.60  % (18572)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.26/0.60  % (18563)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)
% 1.26/0.60  % (18556)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)
% 1.26/0.60  % (18555)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.26/0.60  % (18555)Instruction limit reached!
% 1.26/0.60  % (18555)------------------------------
% 1.26/0.60  % (18555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.60  % (18555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.60  % (18555)Termination reason: Unknown
% 1.26/0.60  % (18555)Termination phase: Unused predicate definition removal
% 1.26/0.60  
% 1.26/0.60  % (18555)Memory used [KB]: 1535
% 1.26/0.60  % (18555)Time elapsed: 0.004 s
% 1.26/0.60  % (18555)Instructions burned: 2 (million)
% 1.26/0.60  % (18555)------------------------------
% 1.26/0.60  % (18555)------------------------------
% 1.26/0.60  % (18571)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.26/0.61  % (18575)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.26/0.61  % (18559)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.26/0.62  % (18554)Instruction limit reached!
% 1.26/0.62  % (18554)------------------------------
% 1.26/0.62  % (18554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.62  % (18554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.62  % (18554)Termination reason: Unknown
% 1.26/0.62  % (18554)Termination phase: Saturation
% 1.26/0.62  
% 1.26/0.62  % (18554)Memory used [KB]: 6012
% 1.26/0.62  % (18554)Time elapsed: 0.013 s
% 1.26/0.62  % (18554)Instructions burned: 7 (million)
% 1.26/0.62  % (18554)------------------------------
% 1.26/0.62  % (18554)------------------------------
% 1.26/0.62  % (18567)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)
% 1.26/0.62  % (18565)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.26/0.62  % (18558)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)
% 1.26/0.62  % (18549)Instruction limit reached!
% 1.26/0.62  % (18549)------------------------------
% 1.26/0.62  % (18549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.62  % (18549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.62  % (18549)Termination reason: Unknown
% 1.26/0.62  % (18549)Termination phase: Saturation
% 1.26/0.62  
% 1.26/0.62  % (18549)Memory used [KB]: 1791
% 1.26/0.62  % (18549)Time elapsed: 0.180 s
% 1.26/0.62  % (18549)Instructions burned: 37 (million)
% 1.26/0.62  % (18549)------------------------------
% 1.26/0.62  % (18549)------------------------------
% 1.99/0.66  % (18557)Instruction limit reached!
% 1.99/0.66  % (18557)------------------------------
% 1.99/0.66  % (18557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.66  % (18557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.66  % (18557)Termination reason: Unknown
% 1.99/0.66  % (18557)Termination phase: Saturation
% 1.99/0.66  
% 1.99/0.66  % (18557)Memory used [KB]: 6652
% 1.99/0.66  % (18557)Time elapsed: 0.217 s
% 1.99/0.66  % (18557)Instructions burned: 50 (million)
% 1.99/0.66  % (18557)------------------------------
% 1.99/0.66  % (18557)------------------------------
% 2.34/0.69  % (18551)Instruction limit reached!
% 2.34/0.69  % (18551)------------------------------
% 2.34/0.69  % (18551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69  % (18551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69  % (18551)Termination reason: Unknown
% 2.34/0.69  % (18551)Termination phase: Saturation
% 2.34/0.69  
% 2.34/0.69  % (18551)Memory used [KB]: 6396
% 2.34/0.69  % (18551)Time elapsed: 0.040 s
% 2.34/0.69  % (18551)Instructions burned: 51 (million)
% 2.34/0.69  % (18551)------------------------------
% 2.34/0.69  % (18551)------------------------------
% 2.34/0.69  % (18552)Instruction limit reached!
% 2.34/0.69  % (18552)------------------------------
% 2.34/0.69  % (18552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69  % (18552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69  % (18552)Termination reason: Unknown
% 2.34/0.69  % (18552)Termination phase: Saturation
% 2.34/0.69  
% 2.34/0.69  % (18552)Memory used [KB]: 6524
% 2.34/0.69  % (18552)Time elapsed: 0.260 s
% 2.34/0.69  % (18552)Instructions burned: 49 (million)
% 2.34/0.69  % (18552)------------------------------
% 2.34/0.69  % (18552)------------------------------
% 2.34/0.70  % (18550)Instruction limit reached!
% 2.34/0.70  % (18550)------------------------------
% 2.34/0.70  % (18550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70  % (18550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70  % (18550)Termination reason: Unknown
% 2.34/0.70  % (18550)Termination phase: Saturation
% 2.34/0.70  
% 2.34/0.70  % (18550)Memory used [KB]: 6652
% 2.34/0.70  % (18550)Time elapsed: 0.220 s
% 2.34/0.70  % (18550)Instructions burned: 51 (million)
% 2.34/0.70  % (18550)------------------------------
% 2.34/0.70  % (18550)------------------------------
% 2.34/0.71  % (18566)First to succeed.
% 2.34/0.72  % (18553)Instruction limit reached!
% 2.34/0.72  % (18553)------------------------------
% 2.34/0.72  % (18553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.72  % (18553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.72  % (18553)Termination reason: Unknown
% 2.34/0.72  % (18553)Termination phase: Finite model building preprocessing
% 2.34/0.72  
% 2.34/0.72  % (18553)Memory used [KB]: 2814
% 2.34/0.72  % (18553)Time elapsed: 0.037 s
% 2.34/0.72  % (18553)Instructions burned: 51 (million)
% 2.34/0.72  % (18553)------------------------------
% 2.34/0.72  % (18553)------------------------------
% 2.34/0.73  % (18570)Also succeeded, but the first one will report.
% 2.34/0.73  % (18566)Refutation found. Thanks to Tanya!
% 2.34/0.73  % SZS status Unsatisfiable for theBenchmark
% 2.34/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.34/0.73  % (18566)------------------------------
% 2.34/0.73  % (18566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.73  % (18566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.73  % (18566)Termination reason: Refutation
% 2.34/0.73  
% 2.34/0.73  % (18566)Memory used [KB]: 1918
% 2.34/0.73  % (18566)Time elapsed: 0.234 s
% 2.34/0.73  % (18566)Instructions burned: 48 (million)
% 2.34/0.73  % (18566)------------------------------
% 2.34/0.73  % (18566)------------------------------
% 2.34/0.73  % (18546)Success in time 0.367 s
%------------------------------------------------------------------------------