TSTP Solution File: SYN269-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN269-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 12:09:26 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 29
% Syntax : Number of formulae : 62 ( 30 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 93 ( 47 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2534,plain,
$false,
inference(subsumption_resolution,[],[f2533,f369]) ).
fof(f369,axiom,
~ p4(b,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2533,plain,
p4(b,a,a),
inference(resolution,[],[f2529,f2069]) ).
fof(f2069,plain,
! [X0,X1] :
( ~ r3(X0,X0,X1)
| p4(X1,X0,X0) ),
inference(resolution,[],[f326,f650]) ).
fof(f650,plain,
p4(a,a,a),
inference(resolution,[],[f325,f412]) ).
fof(f412,plain,
k3(a,a,a),
inference(resolution,[],[f248,f405]) ).
fof(f405,plain,
n2(a),
inference(resolution,[],[f175,f397]) ).
fof(f397,plain,
p1(a,a,a),
inference(subsumption_resolution,[],[f126,f20]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_088) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f248,axiom,
! [X7] :
( ~ n2(X7)
| k3(X7,X7,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).
fof(f325,axiom,
! [X11,X6] :
( ~ k3(X11,X11,X6)
| p4(X11,X6,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).
fof(f326,axiom,
! [X2,X3,X10,X5] :
( ~ p4(X3,X3,X10)
| ~ r3(X2,X2,X5)
| p4(X5,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_288) ).
fof(f2529,plain,
r3(a,a,b),
inference(resolution,[],[f2521,f2171]) ).
fof(f2171,plain,
m3(b,b,a),
inference(subsumption_resolution,[],[f2169,f1113]) ).
fof(f1113,plain,
r2(a),
inference(resolution,[],[f1112,f20]) ).
fof(f1112,plain,
! [X0] :
( ~ l0(X0)
| r2(X0) ),
inference(resolution,[],[f1108,f226]) ).
fof(f226,axiom,
! [X4] :
( ~ r1(X4)
| ~ l0(X4)
| r2(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).
fof(f1108,plain,
! [X0] : r1(X0),
inference(subsumption_resolution,[],[f1096,f17]) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f1096,plain,
! [X0] :
( ~ q0(X0,d)
| r1(X0) ),
inference(resolution,[],[f1095,f398]) ).
fof(f398,plain,
q1(d,d,d),
inference(resolution,[],[f135,f1]) ).
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f135,axiom,
! [X10] :
( ~ s0(X10)
| q1(X10,X10,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_097) ).
fof(f1095,plain,
! [X8,X7] :
( ~ q1(d,X8,d)
| ~ q0(X7,X8)
| r1(X7) ),
inference(subsumption_resolution,[],[f162,f1]) ).
fof(f162,axiom,
! [X8,X7] :
( ~ s0(d)
| r1(X7)
| ~ q0(X7,X8)
| ~ q1(d,X8,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f2169,plain,
( ~ r2(a)
| m3(b,b,a) ),
inference(resolution,[],[f2159,f273]) ).
fof(f273,axiom,
! [X11,X6] :
( ~ k3(X11,X6,X11)
| ~ r2(X6)
| m3(X11,X11,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_235) ).
fof(f2159,plain,
k3(b,a,b),
inference(resolution,[],[f2123,f37]) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f2123,plain,
! [X0,X1] :
( ~ n0(X0,X1)
| k3(X0,X1,X0) ),
inference(resolution,[],[f2122,f585]) ).
fof(f585,plain,
! [X0] : p2(X0,X0,X0),
inference(resolution,[],[f188,f545]) ).
fof(f545,plain,
! [X0] : m1(X0,X0,X0),
inference(resolution,[],[f44,f19]) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f44,axiom,
! [X3,X10] :
( ~ m0(X10,X10,X3)
| m1(X3,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).
fof(f188,axiom,
! [X9,X4] :
( ~ m1(X4,X4,X9)
| p2(X9,X9,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).
fof(f2122,plain,
! [X3,X10,X11,X6] :
( ~ p2(X11,X10,X6)
| ~ n0(X3,X6)
| k3(X3,X10,X3) ),
inference(subsumption_resolution,[],[f230,f502]) ).
fof(f502,plain,
! [X0] : s1(X0),
inference(resolution,[],[f495,f379]) ).
fof(f379,plain,
s1(b),
inference(resolution,[],[f163,f14]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f163,axiom,
! [X2] :
( ~ p0(X2,X2)
| s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f495,plain,
! [X0,X1] :
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[],[f164,f17]) ).
fof(f164,axiom,
! [X9,X4,X5] :
( ~ q0(X9,X4)
| s1(X9)
| ~ s1(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f230,axiom,
! [X3,X10,X11,X6] :
( ~ s1(X10)
| ~ n0(X3,X6)
| ~ p2(X11,X10,X6)
| k3(X3,X10,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_192) ).
fof(f2521,plain,
! [X0,X1] :
( ~ m3(X0,b,X1)
| r3(X1,X1,b) ),
inference(subsumption_resolution,[],[f2513,f378]) ).
fof(f378,plain,
m2(b),
inference(resolution,[],[f371,f174]) ).
fof(f174,axiom,
( ~ k1(b)
| m2(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_136) ).
fof(f371,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f2513,plain,
! [X0,X1] :
( ~ m3(X0,b,X1)
| ~ m2(b)
| r3(X1,X1,b) ),
inference(resolution,[],[f306,f623]) ).
fof(f623,plain,
r3(b,b,b),
inference(resolution,[],[f622,f302]) ).
fof(f302,axiom,
! [X5] :
( ~ s2(X5)
| r3(X5,X5,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_264) ).
fof(f622,plain,
s2(b),
inference(resolution,[],[f620,f619]) ).
fof(f619,plain,
! [X2] : q2(X2,X2,X2),
inference(subsumption_resolution,[],[f219,f470]) ).
fof(f470,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f123,axiom,
! [X11,X6] :
( ~ p0(X6,X11)
| p1(X11,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f219,axiom,
! [X2] :
( ~ p1(X2,X2,X2)
| q2(X2,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).
fof(f620,plain,
! [X5] :
( ~ q2(b,X5,b)
| s2(X5) ),
inference(subsumption_resolution,[],[f227,f379]) ).
fof(f227,axiom,
! [X5] :
( ~ s1(b)
| s2(X5)
| ~ q2(b,X5,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_189) ).
fof(f306,axiom,
! [X2,X3,X10,X5] :
( ~ r3(X2,X10,X10)
| ~ m3(X3,b,X5)
| ~ m2(X2)
| r3(X5,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_268) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SYN269-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 17:41:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (18222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.40 % (18227)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.40 % (18226)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.40 % (18228)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.40 % (18223)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.40 % (18225)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.40 % (18224)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (18229)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.41 Detected minimum model sizes of [1]
% 0.21/0.41 Detected maximum model sizes of [5]
% 0.21/0.41 TRYING [2,1,1,1,1,1,1,1,1]
% 0.21/0.41 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 Detected minimum model sizes of [1]
% 0.21/0.42 Detected maximum model sizes of [5]
% 0.21/0.42 TRYING [1]
% 0.21/0.42 % (18227)First to succeed.
% 0.21/0.42 % (18227)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18222"
% 0.21/0.42 TRYING [1,1,1,1,1,1]
% 0.21/0.42 % (18227)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.42 % (18227)------------------------------
% 0.21/0.42 % (18227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.42 % (18227)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (18227)Memory used [KB]: 1497
% 0.21/0.42 % (18227)Time elapsed: 0.024 s
% 0.21/0.42 % (18227)Instructions burned: 53 (million)
% 0.21/0.42 % (18222)Success in time 0.046 s
%------------------------------------------------------------------------------