TSTP Solution File: SWC242-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC242-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Sun May 5 10:18:25 EDT 2024
% Result : Unsatisfiable 0.14s 0.43s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 94 ( 20 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 55 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5313,plain,
$false,
inference(subsumption_resolution,[],[f5312,f240]) ).
fof(f240,plain,
ssItem(sk6),
inference(subsumption_resolution,[],[f239,f192]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f239,plain,
( nil = sk1
| ssItem(sk6) ),
inference(forward_demodulation,[],[f198,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f198,axiom,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f5312,plain,
~ ssItem(sk6),
inference(subsumption_resolution,[],[f5311,f5218]) ).
fof(f5218,plain,
leq(sk6,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f5217,f3782]) ).
fof(f3782,plain,
ssItem(sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f3781,f240]) ).
fof(f3781,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f3780,f244]) ).
fof(f244,plain,
ssList(sk8),
inference(subsumption_resolution,[],[f243,f192]) ).
fof(f243,plain,
( nil = sk1
| ssList(sk8) ),
inference(forward_demodulation,[],[f200,f191]) ).
fof(f200,axiom,
( ssList(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f3780,plain,
( ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f3777,f242]) ).
fof(f242,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f241,f192]) ).
fof(f241,plain,
( nil = sk1
| ssList(sk7) ),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f199,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f3777,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f3776]) ).
fof(f3776,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f193,f512]) ).
fof(f512,plain,
sk1 = app(app(sk7,cons(sk6,nil)),sk8),
inference(forward_demodulation,[],[f511,f191]) ).
fof(f511,plain,
sk3 = app(app(sk7,cons(sk6,nil)),sk8),
inference(subsumption_resolution,[],[f510,f192]) ).
fof(f510,plain,
( nil = sk1
| sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
inference(forward_demodulation,[],[f201,f191]) ).
fof(f201,axiom,
( nil = sk3
| sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f193,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f5217,plain,
( ~ ssItem(sk5(sk8,sk7,sk6))
| leq(sk6,sk5(sk8,sk7,sk6)) ),
inference(subsumption_resolution,[],[f5210,f240]) ).
fof(f5210,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5(sk8,sk7,sk6))
| leq(sk6,sk5(sk8,sk7,sk6)) ),
inference(resolution,[],[f5206,f103]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f5206,plain,
lt(sk6,sk5(sk8,sk7,sk6)),
inference(subsumption_resolution,[],[f5205,f240]) ).
fof(f5205,plain,
( lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5204,f244]) ).
fof(f5204,plain,
( ~ ssList(sk8)
| lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5199,f242]) ).
fof(f5199,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f5198]) ).
fof(f5198,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| lt(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f196,f512]) ).
fof(f196,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| lt(X6,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f5311,plain,
( ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5310,f244]) ).
fof(f5310,plain,
( ~ ssList(sk8)
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f5305,f242]) ).
fof(f5305,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f5304]) ).
fof(f5304,plain,
( sk1 != sk1
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ leq(sk6,sk5(sk8,sk7,sk6))
| ~ ssItem(sk6) ),
inference(superposition,[],[f197,f512]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ leq(X6,sk5(X8,X7,X6))
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC242-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri May 3 20:27:53 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 % (27458)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.31 % (27462)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.31 % (27463)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.31 % (27461)WARNING: value z3 for option sas not known
% 0.10/0.31 % (27461)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.31 % (27459)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.31 % (27464)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.10/0.31 % (27460)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.31 % (27465)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.31 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.36 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [4]
% 0.14/0.42 TRYING [3]
% 0.14/0.43 % (27461)First to succeed.
% 0.14/0.43 % (27461)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27458"
% 0.14/0.43 % (27461)Refutation found. Thanks to Tanya!
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.43 % (27461)------------------------------
% 0.14/0.43 % (27461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.43 % (27461)Termination reason: Refutation
% 0.14/0.43
% 0.14/0.43 % (27461)Memory used [KB]: 3312
% 0.14/0.43 % (27461)Time elapsed: 0.119 s
% 0.14/0.43 % (27461)Instructions burned: 352 (million)
% 0.14/0.43 % (27458)Success in time 0.136 s
%------------------------------------------------------------------------------