TSTP Solution File: SWC389-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC389-1 : 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 : n023.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 : Tue Apr 30 16:21:55 EDT 2024
% Result : Unsatisfiable 1.97s 0.66s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 19
% Syntax : Number of formulae : 57 ( 11 unt; 0 def)
% Number of atoms : 156 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 195 ( 96 ~; 99 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6731,plain,
$false,
inference(resolution,[],[f6730,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f6730,plain,
~ ssList(nil),
inference(duplicate_literal_removal,[],[f6725]) ).
fof(f6725,plain,
( ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f6719,f56]) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f6719,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil) ),
inference(resolution,[],[f6717,f235]) ).
fof(f235,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f6717,plain,
( neq(nil,nil)
| ~ segmentP(nil,nil) ),
inference(forward_demodulation,[],[f6376,f6222]) ).
fof(f6222,plain,
nil = sk4,
inference(resolution,[],[f6221,f8]) ).
fof(f6221,plain,
( ~ ssList(nil)
| nil = sk4 ),
inference(duplicate_literal_removal,[],[f6219]) ).
fof(f6219,plain,
( ~ ssList(nil)
| nil = sk4
| nil = sk4 ),
inference(resolution,[],[f5756,f192]) ).
fof(f192,axiom,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f5756,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| nil = sk4 ),
inference(trivial_inequality_removal,[],[f5348]) ).
fof(f5348,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(sk5)
| nil = sk4 ),
inference(backward_demodulation,[],[f407,f5332]) ).
fof(f5332,plain,
nil = sk3,
inference(resolution,[],[f5331,f238]) ).
fof(f238,plain,
ssList(sk3),
inference(forward_demodulation,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f5331,plain,
( ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[],[f5330,f239]) ).
fof(f239,plain,
ssList(sk4),
inference(forward_demodulation,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f5330,plain,
( ~ ssList(sk4)
| nil = sk3
| ~ ssList(sk3) ),
inference(duplicate_literal_removal,[],[f5328]) ).
fof(f5328,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk4)
| nil = sk3 ),
inference(resolution,[],[f5326,f200]) ).
fof(f200,axiom,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f5326,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f5324]) ).
fof(f5324,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk4)
| nil = sk3 ),
inference(resolution,[],[f5323,f201]) ).
fof(f201,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f5323,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f5320]) ).
fof(f5320,plain,
( ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| nil = sk3
| ~ ssList(sk4)
| nil = sk3 ),
inference(resolution,[],[f5315,f193]) ).
fof(f193,axiom,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f5315,plain,
( ~ ssItem(sk5)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| nil = sk3
| ~ ssList(sk4) ),
inference(duplicate_literal_removal,[],[f5308]) ).
fof(f5308,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| nil = sk3
| ~ ssItem(sk5)
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[],[f5062,f746]) ).
fof(f746,plain,
( ~ segmentP(sk4,sk3)
| ~ ssItem(sk5)
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[],[f743,f242]) ).
fof(f242,plain,
( ~ singletonP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[],[f241,f190]) ).
fof(f241,plain,
( ~ segmentP(sk2,sk3)
| ~ singletonP(sk3) ),
inference(forward_demodulation,[],[f240,f191]) ).
fof(f240,plain,
( ~ singletonP(sk3)
| ~ segmentP(sk2,sk1) ),
inference(forward_demodulation,[],[f207,f191]) ).
fof(f207,axiom,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f743,plain,
( singletonP(sk3)
| ~ ssList(sk3)
| ~ ssItem(sk5)
| nil = sk3 ),
inference(superposition,[],[f213,f202]) ).
fof(f202,axiom,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f213,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f5062,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ ssList(sk7)
| nil = sk3 ),
inference(superposition,[],[f223,f203]) ).
fof(f203,axiom,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f223,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f407,plain,
( nil != sk3
| ~ ssList(nil)
| ~ ssItem(sk5)
| nil = sk4 ),
inference(superposition,[],[f98,f196]) ).
fof(f196,axiom,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f6376,plain,
( neq(nil,nil)
| ~ segmentP(sk4,nil) ),
inference(backward_demodulation,[],[f5338,f6222]) ).
fof(f5338,plain,
( neq(sk4,nil)
| ~ segmentP(sk4,nil) ),
inference(backward_demodulation,[],[f245,f5332]) ).
fof(f245,plain,
( neq(sk4,nil)
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[],[f244,f190]) ).
fof(f244,plain,
( ~ segmentP(sk4,sk3)
| neq(sk2,nil) ),
inference(forward_demodulation,[],[f243,f190]) ).
fof(f243,plain,
( ~ segmentP(sk2,sk3)
| neq(sk2,nil) ),
inference(forward_demodulation,[],[f206,f191]) ).
fof(f206,axiom,
( ~ segmentP(sk2,sk1)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC389-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:25:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25147)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (25150)WARNING: value z3 for option sas not known
% 0.22/0.38 % (25151)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (25149)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (25148)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (25150)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)
% 0.22/0.38 % (25153)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)
% 0.22/0.38 % (25154)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)
% 0.22/0.39 % (25152)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.46 TRYING [4]
% 0.22/0.46 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.48 TRYING [3]
% 0.22/0.50 TRYING [3]
% 0.22/0.51 TRYING [4]
% 1.40/0.56 TRYING [5]
% 1.40/0.61 TRYING [5]
% 1.97/0.66 % (25153)First to succeed.
% 1.97/0.66 % (25153)Refutation found. Thanks to Tanya!
% 1.97/0.66 % SZS status Unsatisfiable for theBenchmark
% 1.97/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.66 % (25153)------------------------------
% 1.97/0.66 % (25153)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.97/0.66 % (25153)Termination reason: Refutation
% 1.97/0.66
% 1.97/0.66 % (25153)Memory used [KB]: 5957
% 1.97/0.66 % (25153)Time elapsed: 0.282 s
% 1.97/0.66 % (25153)Instructions burned: 737 (million)
% 1.97/0.66 % (25153)------------------------------
% 1.97/0.66 % (25153)------------------------------
% 1.97/0.66 % (25147)Success in time 0.293 s
%------------------------------------------------------------------------------