TSTP Solution File: PUZ063-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% 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 18:11:57 EDT 2022

% Result   : Unsatisfiable 3.29s 0.92s
% Output   : Refutation 3.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   1 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2963,plain,
    $false,
    inference(subsumption_resolution,[],[f2962,f2733]) ).

fof(f2733,axiom,
    c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2962,plain,
    ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
    inference(forward_demodulation,[],[f2735,f1479]) ).

fof(f1479,axiom,
    ! [X1,X5] : c_union(c_emptyset,X1,X5) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).

fof(f2735,axiom,
    ~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 10:43:11 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 1.32/0.64  % (4981)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.32/0.64  % (4989)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 (2998ds/99Mi)
% 1.50/0.65  % (4998)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.50/0.65  % (4981)Instruction limit reached!
% 1.50/0.65  % (4981)------------------------------
% 1.50/0.65  % (4981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.65  % (4981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.65  % (4981)Termination reason: Unknown
% 1.50/0.65  % (4981)Termination phase: shuffling
% 1.50/0.65  
% 1.50/0.65  % (4981)Memory used [KB]: 2942
% 1.50/0.65  % (4981)Time elapsed: 0.004 s
% 1.50/0.65  % (4981)Instructions burned: 2 (million)
% 1.50/0.65  % (4981)------------------------------
% 1.50/0.65  % (4981)------------------------------
% 1.50/0.66  % (4997)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 (2998ds/467Mi)
% 1.50/0.66  % (4980)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.50/0.66  % (4980)Instruction limit reached!
% 1.50/0.66  % (4980)------------------------------
% 1.50/0.66  % (4980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.67  % (4988)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 (2998ds/75Mi)
% 1.50/0.67  % (4975)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 (2998ds/37Mi)
% 1.50/0.68  % (4980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.68  % (4980)Termination reason: Unknown
% 1.50/0.68  % (4980)Termination phase: Function definition elimination
% 1.50/0.68  
% 1.50/0.68  % (4980)Memory used [KB]: 3198
% 1.50/0.68  % (4980)Time elapsed: 0.009 s
% 1.50/0.68  % (4980)Instructions burned: 7 (million)
% 1.50/0.68  % (4980)------------------------------
% 1.50/0.68  % (4980)------------------------------
% 1.50/0.69  % (4983)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.50/0.69  % (4992)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.50/0.70  % (4977)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.50/0.70  % (4979)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.50/0.70  % (5000)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 (2998ds/68Mi)
% 1.50/0.70  % (5002)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.50/0.70  % (4987)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 (2998ds/68Mi)
% 1.50/0.70  % (5001)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 (2998ds/177Mi)
% 1.50/0.71  % (4986)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.50/0.71  % (4984)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.50/0.71  % (4996)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 (2998ds/498Mi)
% 1.50/0.71  % (4985)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.50/0.72  % (4993)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 (2998ds/100Mi)
% 1.50/0.72  % (4995)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.50/0.72  % (4994)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 (2998ds/176Mi)
% 1.50/0.72  % (5003)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 (2998ds/355Mi)
% 1.50/0.72  % (4978)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 (2998ds/48Mi)
% 1.50/0.72  % (4976)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 2.05/0.75  % (4975)Instruction limit reached!
% 2.05/0.75  % (4975)------------------------------
% 2.05/0.75  % (4975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.75  % (4975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.75  % (4975)Termination reason: Unknown
% 2.05/0.75  % (4975)Termination phase: Property scanning
% 2.05/0.75  
% 2.05/0.75  % (4975)Memory used [KB]: 3454
% 2.05/0.75  % (4975)Time elapsed: 0.033 s
% 2.05/0.75  % (4975)Instructions burned: 37 (million)
% 2.05/0.75  % (4975)------------------------------
% 2.05/0.75  % (4975)------------------------------
% 2.05/0.77  % (4991)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 2.05/0.78  % (4999)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 2.48/0.78  % (4983)Instruction limit reached!
% 2.48/0.78  % (4983)------------------------------
% 2.48/0.78  % (4983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.78  % (4983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.78  % (4983)Termination reason: Unknown
% 2.48/0.78  % (4983)Termination phase: Saturation
% 2.48/0.78  
% 2.48/0.78  % (4983)Memory used [KB]: 8187
% 2.48/0.78  % (4983)Time elapsed: 0.056 s
% 2.48/0.78  % (4983)Instructions burned: 50 (million)
% 2.48/0.78  % (4983)------------------------------
% 2.48/0.78  % (4983)------------------------------
% 2.48/0.78  % (4982)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 (2998ds/51Mi)
% 2.48/0.79  % (4974)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 2.48/0.81  % (4988)Instruction limit reached!
% 2.48/0.81  % (4988)------------------------------
% 2.48/0.81  % (4988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.81  % (4988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.81  % (4988)Termination reason: Unknown
% 2.48/0.81  % (4988)Termination phase: Saturation
% 2.48/0.81  
% 2.48/0.81  % (4988)Memory used [KB]: 4093
% 2.48/0.81  % (4988)Time elapsed: 0.079 s
% 2.48/0.81  % (4988)Instructions burned: 76 (million)
% 2.48/0.81  % (4988)------------------------------
% 2.48/0.81  % (4988)------------------------------
% 2.48/0.81  % (4973)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 (2998ds/191324Mi)
% 2.48/0.82  % (4992)Instruction limit reached!
% 2.48/0.82  % (4992)------------------------------
% 2.48/0.82  % (4992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.82  % (4992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.82  % (4992)Termination reason: Unknown
% 2.48/0.82  % (4992)Termination phase: Saturation
% 2.48/0.82  
% 2.48/0.82  % (4992)Memory used [KB]: 9210
% 2.48/0.82  % (4992)Time elapsed: 0.094 s
% 2.48/0.82  % (4992)Instructions burned: 101 (million)
% 2.48/0.82  % (4992)------------------------------
% 2.48/0.82  % (4992)------------------------------
% 2.48/0.82  % (5012)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/388Mi)
% 2.48/0.83  % (4978)Instruction limit reached!
% 2.48/0.83  % (4978)------------------------------
% 2.48/0.83  % (4978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.83  % (4978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.83  % (4978)Termination reason: Unknown
% 2.48/0.83  % (4978)Termination phase: Saturation
% 2.48/0.83  
% 2.48/0.83  % (4978)Memory used [KB]: 8059
% 2.48/0.83  % (4978)Time elapsed: 0.038 s
% 2.48/0.83  % (4978)Instructions burned: 49 (million)
% 2.48/0.83  % (4978)------------------------------
% 2.48/0.83  % (4978)------------------------------
% 2.48/0.84  % (4977)Instruction limit reached!
% 2.48/0.84  % (4977)------------------------------
% 2.48/0.84  % (4977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.84  % (4977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.84  % (4977)Termination reason: Unknown
% 2.48/0.84  % (4977)Termination phase: Property scanning
% 2.48/0.84  
% 2.48/0.84  % (4977)Memory used [KB]: 3326
% 2.48/0.84  % (4977)Time elapsed: 0.041 s
% 2.48/0.84  % (4977)Instructions burned: 52 (million)
% 2.48/0.84  % (4977)------------------------------
% 2.48/0.84  % (4977)------------------------------
% 2.48/0.84  % (4979)Instruction limit reached!
% 2.48/0.84  % (4979)------------------------------
% 2.48/0.84  % (4979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.84  % (4979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.84  % (4979)Termination reason: Unknown
% 2.48/0.84  % (4979)Termination phase: Finite model building preprocessing
% 2.48/0.84  
% 2.48/0.84  % (4979)Memory used [KB]: 4093
% 2.48/0.84  % (4979)Time elapsed: 0.041 s
% 2.48/0.84  % (4979)Instructions burned: 52 (million)
% 2.48/0.84  % (4979)------------------------------
% 2.48/0.84  % (4979)------------------------------
% 2.48/0.84  % (4989)Instruction limit reached!
% 2.48/0.84  % (4989)------------------------------
% 2.48/0.84  % (4989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.48/0.84  % (4989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.48/0.84  % (4989)Termination reason: Unknown
% 2.48/0.84  % (4989)Termination phase: Saturation
% 2.48/0.84  
% 2.48/0.84  % (4989)Memory used [KB]: 8315
% 2.48/0.84  % (4989)Time elapsed: 0.315 s
% 2.48/0.84  % (4989)Instructions burned: 100 (million)
% 2.48/0.84  % (4989)------------------------------
% 2.48/0.84  % (4989)------------------------------
% 3.00/0.86  % (4976)Instruction limit reached!
% 3.00/0.86  % (4976)------------------------------
% 3.00/0.86  % (4976)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.86  % (4976)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.86  % (4976)Termination reason: Unknown
% 3.00/0.86  % (4976)Termination phase: Saturation
% 3.00/0.86  
% 3.00/0.86  % (4976)Memory used [KB]: 8443
% 3.00/0.86  % (4976)Time elapsed: 0.045 s
% 3.00/0.86  % (4976)Instructions burned: 51 (million)
% 3.00/0.86  % (4976)------------------------------
% 3.00/0.86  % (4976)------------------------------
% 3.00/0.87  % (5019)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 3.10/0.88  % (5034)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/747Mi)
% 3.10/0.91  % (4987)Instruction limit reached!
% 3.10/0.91  % (4987)------------------------------
% 3.10/0.91  % (4987)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.10/0.91  % (4987)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.10/0.91  % (4987)Termination reason: Unknown
% 3.10/0.91  % (4987)Termination phase: Saturation
% 3.10/0.91  
% 3.10/0.91  % (4987)Memory used [KB]: 10490
% 3.10/0.91  % (4987)Time elapsed: 0.055 s
% 3.10/0.91  % (4987)Instructions burned: 69 (million)
% 3.10/0.91  % (4987)------------------------------
% 3.10/0.91  % (4987)------------------------------
% 3.10/0.91  % (5034)First to succeed.
% 3.29/0.92  % (5034)Refutation found. Thanks to Tanya!
% 3.29/0.92  % SZS status Unsatisfiable for theBenchmark
% 3.29/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 3.29/0.92  % (5034)------------------------------
% 3.29/0.92  % (5034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.92  % (5034)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.92  % (5034)Termination reason: Refutation
% 3.29/0.92  
% 3.29/0.92  % (5034)Memory used [KB]: 8443
% 3.29/0.92  % (5034)Time elapsed: 0.034 s
% 3.29/0.92  % (5034)Instructions burned: 49 (million)
% 3.29/0.92  % (5034)------------------------------
% 3.29/0.92  % (5034)------------------------------
% 3.29/0.92  % (4942)Success in time 0.566 s
%------------------------------------------------------------------------------