TSTP Solution File: SYN156-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN156-1 : 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 : n018.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 12:09:05 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 38
% Syntax : Number of formulae : 86 ( 43 unt; 0 def)
% Number of atoms : 150 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 130 ( 66 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1975,plain,
$false,
inference(subsumption_resolution,[],[f1974,f1879]) ).
fof(f1879,plain,
! [X0] : n4(X0,a),
inference(subsumption_resolution,[],[f1878,f1200]) ).
fof(f1200,plain,
! [X0] : n4(X0,X0),
inference(resolution,[],[f1198,f723]) ).
fof(f723,plain,
! [X2,X5] :
( ~ k4(X2)
| n4(X5,X5) ),
inference(subsumption_resolution,[],[f322,f474]) ).
fof(f474,plain,
! [X0] : m3(X0,X0,X0),
inference(resolution,[],[f472,f274]) ).
fof(f274,axiom,
! [X10] :
( ~ n2(X10)
| m3(X10,X10,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_236) ).
fof(f472,plain,
! [X0] : n2(X0),
inference(resolution,[],[f470,f175]) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f470,plain,
! [X0] : p1(X0,X0,X0),
inference(resolution,[],[f123,f14]) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f123,axiom,
! [X11,X6] :
( ~ p0(X6,X11)
| p1(X11,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f322,axiom,
! [X2,X5] :
( ~ k4(X2)
| n4(X5,X5)
| ~ m3(X5,X5,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_284) ).
fof(f1198,plain,
k4(c),
inference(resolution,[],[f1197,f993]) ).
fof(f993,plain,
( ~ q3(e,b)
| k4(c) ),
inference(subsumption_resolution,[],[f992,f34]) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f992,plain,
( k4(c)
| ~ q3(e,b)
| ~ n0(c,d) ),
inference(subsumption_resolution,[],[f312,f420]) ).
fof(f420,plain,
n3(e),
inference(resolution,[],[f278,f407]) ).
fof(f407,plain,
p2(e,e,e),
inference(resolution,[],[f197,f370]) ).
fof(f370,plain,
k1(e),
inference(resolution,[],[f39,f3]) ).
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f197,axiom,
! [X10] :
( ~ k1(X10)
| p2(X10,X10,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_159) ).
fof(f278,axiom,
! [X8,X9,X7] :
( ~ p2(X8,X9,X7)
| n3(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f312,axiom,
( ~ n3(e)
| k4(c)
| ~ q3(e,b)
| ~ n0(c,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_274) ).
fof(f1197,plain,
q3(e,b),
inference(subsumption_resolution,[],[f1196,f30]) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(f1196,plain,
( q3(e,b)
| ~ n0(e,e) ),
inference(resolution,[],[f1193,f293]) ).
fof(f293,axiom,
! [X2,X4,X5] :
( ~ q2(X2,X4,X5)
| q3(X4,X5)
| ~ n0(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f1193,plain,
q2(e,e,b),
inference(resolution,[],[f1189,f224]) ).
fof(f224,axiom,
! [X4,X5] :
( ~ l1(X5,X4)
| q2(X4,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
fof(f1189,plain,
l1(b,e),
inference(resolution,[],[f1160,f9]) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(f1160,plain,
! [X0] :
( ~ r0(X0)
| l1(b,e) ),
inference(subsumption_resolution,[],[f1154,f18]) ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f1154,plain,
! [X0] :
( ~ p0(c,b)
| l1(b,e)
| ~ r0(X0) ),
inference(resolution,[],[f41,f27]) ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(f41,axiom,
! [X8,X6,X9,X7] :
( ~ m0(X7,X6,X8)
| ~ p0(X8,X6)
| l1(X6,X7)
| ~ r0(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
fof(f1878,plain,
! [X0] :
( n4(X0,a)
| ~ n4(X0,X0) ),
inference(resolution,[],[f1874,f319]) ).
fof(f319,axiom,
! [X3,X10] :
( ~ p3(X3,X10,X10)
| n4(X3,X10)
| ~ n4(X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_281) ).
fof(f1874,plain,
! [X0] : p3(X0,a,a),
inference(subsumption_resolution,[],[f1873,f1113]) ).
fof(f1113,plain,
r2(a),
inference(resolution,[],[f1112,f20]) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
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(f1873,plain,
! [X0] :
( ~ r2(a)
| p3(X0,a,a) ),
inference(resolution,[],[f1869,f280]) ).
fof(f280,axiom,
! [X3,X10,X11] :
( ~ k3(X10,X11,X3)
| ~ r2(X10)
| p3(X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_242) ).
fof(f1869,plain,
! [X0] : k3(a,a,X0),
inference(resolution,[],[f1866,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(f1866,plain,
! [X0,X1] :
( ~ m2(X0)
| k3(a,a,X1) ),
inference(resolution,[],[f1830,f378]) ).
fof(f1830,plain,
! [X2,X0,X1] :
( ~ m2(X0)
| ~ m2(X1)
| k3(a,a,X2) ),
inference(resolution,[],[f239,f1336]) ).
fof(f1336,plain,
! [X0,X1] : p1(X0,X1,a),
inference(subsumption_resolution,[],[f1333,f12]) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f1333,plain,
! [X0,X1] :
( ~ m0(a,X0,a)
| p1(X0,X1,a) ),
inference(resolution,[],[f1331,f120]) ).
fof(f120,axiom,
! [X2,X3,X10,X5] :
( ~ p1(X3,X5,X10)
| ~ m0(X3,X5,X10)
| p1(X5,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_082) ).
fof(f1331,plain,
! [X0] : p1(a,X0,a),
inference(subsumption_resolution,[],[f1320,f12]) ).
fof(f1320,plain,
! [X0] :
( ~ m0(a,a,a)
| p1(a,X0,a) ),
inference(resolution,[],[f120,f397]) ).
fof(f397,plain,
p1(a,a,a),
inference(subsumption_resolution,[],[f126,f20]) ).
fof(f126,axiom,
( ~ l0(a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_088) ).
fof(f239,axiom,
! [X11,X8,X6,X7] :
( ~ p1(X6,X7,X11)
| ~ m2(X8)
| ~ m2(X7)
| k3(X11,X11,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_201) ).
fof(f1974,plain,
~ n4(a,a),
inference(subsumption_resolution,[],[f1973,f369]) ).
fof(f369,axiom,
~ n4(a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f1973,plain,
( n4(a,e)
| ~ n4(a,a) ),
inference(resolution,[],[f1949,f319]) ).
fof(f1949,plain,
p3(a,e,e),
inference(resolution,[],[f1911,f904]) ).
fof(f904,plain,
p2(a,e,e),
inference(resolution,[],[f896,f377]) ).
fof(f377,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f896,plain,
! [X0] :
( ~ k1(X0)
| p2(a,e,e) ),
inference(resolution,[],[f193,f601]) ).
fof(f601,plain,
p2(e,a,e),
inference(resolution,[],[f214,f550]) ).
fof(f550,plain,
m1(a,e,a),
inference(resolution,[],[f548,f20]) ).
fof(f548,plain,
! [X0] :
( ~ l0(X0)
| m1(X0,e,X0) ),
inference(resolution,[],[f59,f28]) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f59,axiom,
! [X2,X3] :
( ~ k0(X3)
| ~ l0(X2)
| m1(X2,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_021) ).
fof(f214,axiom,
! [X8,X7] :
( ~ m1(X8,X7,X8)
| p2(X7,X8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
fof(f193,axiom,
! [X2,X3,X5] :
( ~ p2(e,X5,X2)
| ~ k1(X3)
| p2(X5,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_155) ).
fof(f1911,plain,
! [X0,X1] :
( ~ p2(X0,X1,X1)
| p3(X0,X1,X1) ),
inference(resolution,[],[f289,f474]) ).
fof(f289,axiom,
! [X10,X11,X6,X7] :
( ~ m3(X11,X6,X7)
| ~ p2(X10,X11,X7)
| p3(X10,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_251) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN156-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 17:21:53 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % (13990)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (14008)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (14005)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (14009)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (14007)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (14010)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)
% 0.15/0.37 % (14006)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)
% 0.15/0.37 % (14004)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (14008)First to succeed.
% 0.15/0.37 % (14008)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13990"
% 0.15/0.37 % (14008)Refutation found. Thanks to Tanya!
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37 % (14008)------------------------------
% 0.15/0.37 % (14008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37 % (14008)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (14008)Memory used [KB]: 1420
% 0.15/0.37 % (14008)Time elapsed: 0.014 s
% 0.15/0.37 % (14008)Instructions burned: 40 (million)
% 0.15/0.37 % (13990)Success in time 0.032 s
%------------------------------------------------------------------------------