TSTP Solution File: CSR055-10 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : CSR055-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n026.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 : Mon Jun 24 05:30:19 EDT 2024

% Result   : Unsatisfiable 9.97s 2.96s
% Output   : Refutation 9.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44474,plain,
    $false,
    inference(subsumption_resolution,[],[f44473,f44219]) ).

fof(f44219,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f44473,plain,
    a = b,
    inference(forward_demodulation,[],[f44472,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f44472,plain,
    b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
    inference(forward_demodulation,[],[f44455,f44255]) ).

fof(f44255,plain,
    true = collection(c_xskijump_thegame),
    inference(superposition,[],[f44240,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f44240,plain,
    true = ifeq4(true,true,collection(c_xskijump_thegame),true),
    inference(superposition,[],[f41248,f44036]) ).

fof(f44036,axiom,
    true = disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f41248,axiom,
    ! [X8,X5] : true = ifeq4(disjointwith(X8,X5),true,collection(X8),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f44455,plain,
    b = ifeq2(tuple2(true,collection(c_xskijump_thegame)),tuple2(true,true),a,b),
    inference(superposition,[],[f44039,f7906]) ).

fof(f7906,axiom,
    true = individual(c_xskijump_thegame),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f44039,axiom,
    ! [X3] : b = ifeq2(tuple2(individual(X3),collection(X3)),tuple2(true,true),a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CSR055-10 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.13  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n026.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   : Wed Jun 19 23:43:09 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17355)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (2998ds/143Mi)
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17357)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=735:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (2998ds/735Mi)
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17354)lrs+10_16:1_sfv=off:sil=2000:sp=reverse_frequency:urr=ec_only:br=off:i=126:doe=on:irc=lazy:to=lpo:fd=preordered:bd=preordered:fsd=on:drc=encompass_0 on theBenchmark for (2998ds/126Mi)
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17356)lrs+10_2:1_to=lpo:drc=encompass:sil=4000:tgt=full:sp=const_min:urr=on:nwc=5.0:i=129:rawr=on_0 on theBenchmark for (2998ds/129Mi)
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17358)dis+10_577:524288_drc=encompass:sil=256000:sp=const_frequency:spb=units:i=214:doe=on:bd=off:av=off:dpc=on:irc=eager:uhcvi=on:ss=included:rawr=on:to=lpo:slsq=on:slsqr=8,31:s2agt=5:s2at=4.0:fdi=2_0 on theBenchmark for (2998ds/214Mi)
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17353)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:sp=unary_first:sos=on:i=220312:kws=precedence:lwlo=on:irc=lazy_0 on theBenchmark for (2998ds/220312Mi)
% 1.52/1.74  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.52/1.74  % (17352)dis+10_28091:1048576_to=lpo:drc=encompass:sil=128000:tgt=full:erd=off:cond=on:i=107869:doe=on:ins=2:av=off:dpc=on:irc=eager:s2pl=on:s2agt=5:s2at=4.0:foolp=on_0 on theBenchmark for (2998ds/107869Mi)
% 1.54/1.82  % (17355)Instruction limit reached!
% 1.54/1.82  % (17355)------------------------------
% 1.54/1.82  % (17355)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/1.82  % (17355)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/1.82  % (17355)Termination reason: Time limit
% 1.54/1.82  % (17355)Termination phase: SInE selection
% 1.54/1.82  
% 1.54/1.82  % (17355)Memory used [KB]: 27157
% 1.54/1.82  % (17355)Time elapsed: 0.086 s
% 1.54/1.82  % (17355)Instructions burned: 144 (million)
% 1.54/1.83  % (17354)Instruction limit reached!
% 1.54/1.83  % (17354)------------------------------
% 1.54/1.83  % (17354)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/1.83  % (17354)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/1.83  % (17354)Termination reason: Time limit
% 1.54/1.83  % (17354)Termination phase: Property scanning
% 1.54/1.83  
% 1.54/1.83  % (17354)Memory used [KB]: 26441
% 1.54/1.83  % (17354)Time elapsed: 0.092 s
% 1.54/1.83  % (17354)Instructions burned: 126 (million)
% 1.54/1.83  % (17356)Instruction limit reached!
% 1.54/1.83  % (17356)------------------------------
% 1.54/1.83  % (17356)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/1.83  % (17356)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/1.83  % (17356)Termination reason: Time limit
% 1.54/1.83  % (17356)Termination phase: Property scanning
% 1.54/1.83  
% 1.54/1.83  % (17356)Memory used [KB]: 26442
% 1.54/1.83  % (17356)Time elapsed: 0.095 s
% 1.54/1.83  % (17356)Instructions burned: 130 (million)
% 1.96/1.85  % (17358)Instruction limit reached!
% 1.96/1.85  % (17358)------------------------------
% 1.96/1.85  % (17358)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/1.85  % (17358)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/1.85  % (17358)Termination reason: Time limit
% 1.96/1.85  % (17358)Termination phase: SInE selection
% 1.96/1.85  
% 1.96/1.85  % (17358)Memory used [KB]: 27302
% 1.96/1.85  % (17358)Time elapsed: 0.112 s
% 1.96/1.85  % (17358)Instructions burned: 214 (million)
% 1.96/1.88  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.96/1.88  % (17359)lrs+10_1:64_sil=8000:tgt=full:spb=non_intro:i=204:kws=precedence:plsq=on:awrs=converge:awrsf=30:sp=weighted_frequency:drc=encompass:irc=eager_0 on theBenchmark for (2996ds/204Mi)
% 1.96/1.89  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.96/1.89  % (17360)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=444:fd=preordered:irc=eager:bd=preordered:ss=axioms_0 on theBenchmark for (2996ds/444Mi)
% 1.96/1.89  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.96/1.89  % (17361)lrs+10_3:58_drc=encompass:sil=256000:tgt=full:bsd=on:sp=reverse_arity:lwlo=on:s2a=on:i=365:s2at=2.0:kws=precedence:bsr=on:irw=on:dpc=on:fibus=on:doe=on:bs=on:br=off:erd=off:s2agt=20:nwc=8.95214440448525:cond=fast:foolp=on:spb=non_intro:sfv=off:irc=lazy:fde=unused:ins=3_0 on theBenchmark for (2996ds/365Mi)
% 1.96/1.91  % (17344)Running in auto input_syntax mode. Trying TPTP
% 1.96/1.91  % (17362)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=390:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2996ds/390Mi)
% 2.13/2.01  % (17359)Instruction limit reached!
% 2.13/2.01  % (17359)------------------------------
% 2.13/2.01  % (17359)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.13/2.01  % (17359)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.13/2.01  % (17359)Termination reason: Time limit
% 2.13/2.01  % (17359)Termination phase: Property scanning
% 2.13/2.01  
% 2.13/2.01  % (17359)Memory used [KB]: 26442
% 2.13/2.01  % (17359)Time elapsed: 0.131 s
% 2.13/2.01  % (17359)Instructions burned: 205 (million)
% 2.13/2.05  % (17360)Refutation not found, incomplete strategy% (17360)------------------------------
% 2.13/2.05  % (17360)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.13/2.05  % (17360)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.13/2.05  % (17360)Termination reason: Refutation not found, incomplete strategy
% 2.13/2.05  
% 2.13/2.05  % (17360)Memory used [KB]: 27221
% 2.13/2.05  % (17360)Time elapsed: 0.160 s
% 2.13/2.05  % (17360)Instructions burned: 255 (million)
% 2.33/2.06  % (17360)------------------------------
% 2.33/2.06  % (17360)------------------------------
% 2.33/2.07  % (17344)Running in auto input_syntax mode. Trying TPTP
% 2.33/2.07  % (17363)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2994ds/2789Mi)
% 2.55/2.09  % (17361)Instruction limit reached!
% 2.55/2.09  % (17361)------------------------------
% 2.55/2.09  % (17361)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.55/2.09  % (17361)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.55/2.09  % (17361)Termination reason: Time limit
% 2.55/2.09  % (17361)Termination phase: Property scanning
% 2.55/2.09  
% 2.55/2.09  % (17361)Memory used [KB]: 26613
% 2.55/2.09  % (17361)Time elapsed: 0.208 s
% 2.55/2.09  % (17361)Instructions burned: 365 (million)
% 2.81/2.12  % (17344)Running in auto input_syntax mode. Trying TPTP
% 2.81/2.12  % (17364)lrs+10_1:3_drc=encompass:sil=256000:tgt=ground:sp=unary_first:i=975:ss=axioms:sgt=10:rawr=on:urr=on:ins=1:plsq=on:dpc=on:spb=intro:sd=4:fsr=off:bs=on:kws=inv_arity:irc=lazy:nwc=5.0_0 on theBenchmark for (2994ds/975Mi)
% 2.81/2.14  % (17362)Instruction limit reached!
% 2.81/2.14  % (17362)------------------------------
% 2.81/2.14  % (17362)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.81/2.14  % (17362)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.81/2.14  % (17362)Termination reason: Time limit
% 2.81/2.14  % (17362)Termination phase: SInE selection
% 2.81/2.14  
% 2.81/2.14  % (17362)Memory used [KB]: 27333
% 2.81/2.14  % (17362)Time elapsed: 0.235 s
% 2.81/2.14  % (17362)Instructions burned: 390 (million)
% 2.81/2.15  % (17357)Instruction limit reached!
% 2.81/2.15  % (17357)------------------------------
% 2.81/2.15  % (17357)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.81/2.15  % (17357)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.81/2.15  % (17357)Termination reason: Time limit
% 2.81/2.15  % (17357)Termination phase: Saturation
% 2.81/2.15  
% 2.81/2.15  % (17357)Memory used [KB]: 31701
% 2.81/2.15  % (17357)Time elapsed: 0.416 s
% 2.81/2.15  % (17357)Instructions burned: 735 (million)
% 2.81/2.16  % (17344)Running in auto input_syntax mode. Trying TPTP
% 2.81/2.16  % (17365)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=6970:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2994ds/6970Mi)
% 4.75/2.20  % (17344)Running in auto input_syntax mode. Trying TPTP
% 4.75/2.20  % (17366)lrs+10_7:24_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:i=522:irc=lazy:slsq=on:fdi=256:nwc=10.0:dpc=on:ss=included:st=2.0_0 on theBenchmark for (2993ds/522Mi)
% 4.75/2.22  % (17344)Running in auto input_syntax mode. Trying TPTP
% 4.75/2.22  % (17367)lrs+10_1:1024_drc=encompass:sil=8000:tgt=ground:fde=unused:sp=const_min:spb=goal:kmz=on:i=1381:kws=inv_arity:awrs=converge:awrsf=200:irc=eager_0 on theBenchmark for (2993ds/1381Mi)
% 5.45/2.30  % (17364)Refutation not found, incomplete strategy% (17364)------------------------------
% 5.45/2.30  % (17364)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.45/2.30  % (17364)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.45/2.30  % (17364)Termination reason: Refutation not found, incomplete strategy
% 5.45/2.30  
% 5.45/2.30  % (17364)Memory used [KB]: 27517
% 5.45/2.30  % (17364)Time elapsed: 0.178 s
% 5.45/2.30  % (17364)Instructions burned: 278 (million)
% 5.45/2.31  % (17364)------------------------------
% 5.45/2.31  % (17364)------------------------------
% 5.73/2.38  % (17344)Running in auto input_syntax mode. Trying TPTP
% 5.73/2.38  % (17368)lrs+10_1:4_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:fd=preordered:i=589:irc=lazy:slsq=on:slsqr=1,4_0 on theBenchmark for (2991ds/589Mi)
% 6.08/2.52  % (17366)Instruction limit reached!
% 6.08/2.52  % (17366)------------------------------
% 6.08/2.52  % (17366)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.08/2.52  % (17366)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.08/2.52  % (17366)Termination reason: Time limit
% 6.08/2.52  % (17366)Termination phase: Property scanning
% 6.08/2.52  
% 6.08/2.52  % (17366)Memory used [KB]: 26404
% 6.08/2.52  % (17366)Time elapsed: 0.316 s
% 6.08/2.52  % (17366)Instructions burned: 523 (million)
% 6.82/2.58  % (17344)Running in auto input_syntax mode. Trying TPTP
% 6.82/2.58  % (17369)lrs+10_1:4_bsr=on:slsqr=2,7:to=lpo:drc=encompass:sil=16000:tgt=full:sp=unary_first:spb=goal:slsq=on:i=659:slsql=off:ins=2:irc=eager:rawr=on:nwc=8.7296035496261:erd=off:s2pl=no:cond=fast:plsq=on:sims=off_0 on theBenchmark for (2989ds/659Mi)
% 7.31/2.70  % (17368)Instruction limit reached!
% 7.31/2.70  % (17368)------------------------------
% 7.31/2.70  % (17368)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.31/2.70  % (17368)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.31/2.70  % (17368)Termination reason: Time limit
% 7.31/2.70  % (17368)Termination phase: Saturation
% 7.31/2.70  
% 7.31/2.70  % (17368)Memory used [KB]: 26662
% 7.31/2.70  % (17368)Time elapsed: 0.324 s
% 7.31/2.70  % (17368)Instructions burned: 590 (million)
% 8.91/2.77  % (17344)Running in auto input_syntax mode. Trying TPTP
% 8.91/2.77  % (17370)lrs+10_1:1_sil=4000:sp=occurrence:i=1397:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2987ds/1397Mi)
% 9.94/2.94  % (17370)First to succeed.
% 9.97/2.94  % (17370)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17344"
% 9.97/2.96  % (17344)Running in auto input_syntax mode. Trying TPTP
% 9.97/2.96  % (17370)Refutation found. Thanks to Tanya!
% 9.97/2.96  % SZS status Unsatisfiable for theBenchmark
% 9.97/2.96  % SZS output start Proof for theBenchmark
% See solution above
% 9.97/2.96  % (17370)------------------------------
% 9.97/2.96  % (17370)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.97/2.96  % (17370)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.97/2.96  % (17370)Termination reason: Refutation
% 9.97/2.96  
% 9.97/2.96  % (17370)Memory used [KB]: 27071
% 9.97/2.96  % (17370)Time elapsed: 0.168 s
% 9.97/2.96  % (17370)Instructions burned: 271 (million)
% 9.97/2.96  % (17370)------------------------------
% 9.97/2.96  % (17370)------------------------------
% 9.97/2.96  % (17344)Success in time 1.467 s
%------------------------------------------------------------------------------