TSTP Solution File: SYN159-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN159-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 May 21 08:34:23 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 44
% Syntax : Number of formulae : 108 ( 54 unt; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 171 ( 86 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3548,plain,
$false,
inference(resolution,[],[f3536,f369]) ).
fof(f369,axiom,
~ n5(a,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f3536,plain,
! [X0,X1] : n5(X0,X1),
inference(subsumption_resolution,[],[f3519,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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f123,axiom,
! [X11,X6] :
( ~ p0(X6,X11)
| p1(X11,X11,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f322,axiom,
! [X2,X5] :
( ~ k4(X2)
| n4(X5,X5)
| ~ m3(X5,X5,X5) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f197,axiom,
! [X10] :
( ~ k1(X10)
| p2(X10,X10,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).
fof(f278,axiom,
! [X8,X9,X7] :
( ~ p2(X8,X9,X7)
| n3(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
fof(f312,axiom,
( ~ n3(e)
| k4(c)
| ~ q3(e,b)
| ~ n0(c,d) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',rule_186) ).
fof(f1189,plain,
l1(b,e),
inference(resolution,[],[f1160,f9]) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f135,axiom,
! [X10] :
( ~ s0(X10)
| q1(X10,X10,X10) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',rule_136) ).
fof(f371,plain,
k1(b),
inference(resolution,[],[f39,f7]) ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',rule_201) ).
fof(f3519,plain,
! [X0,X1] :
( n5(X0,X1)
| ~ n4(X0,a) ),
inference(resolution,[],[f3422,f3029]) ).
fof(f3029,plain,
q4(d,a),
inference(resolution,[],[f2998,f1215]) ).
fof(f1215,plain,
! [X0] : q2(X0,X0,d),
inference(resolution,[],[f1210,f224]) ).
fof(f1210,plain,
! [X0] : l1(d,X0),
inference(resolution,[],[f1208,f9]) ).
fof(f1208,plain,
! [X0,X1] :
( ~ r0(X1)
| l1(d,X0) ),
inference(resolution,[],[f1150,f10]) ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f1150,plain,
! [X2,X0,X1] :
( ~ p0(X0,d)
| l1(d,X1)
| ~ r0(X2) ),
inference(resolution,[],[f41,f19]) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f2998,plain,
! [X0,X1] :
( ~ q2(a,X1,X0)
| q4(X0,X1) ),
inference(resolution,[],[f2988,f475]) ).
fof(f475,plain,
! [X0] : k3(X0,X0,X0),
inference(resolution,[],[f472,f248]) ).
fof(f248,axiom,
! [X7] :
( ~ n2(X7)
| k3(X7,X7,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).
fof(f2988,plain,
! [X2,X0,X1] :
( ~ k3(X2,X2,X1)
| q4(X1,X0)
| ~ q2(a,X0,X1) ),
inference(resolution,[],[f333,f416]) ).
fof(f416,plain,
m3(a,a,a),
inference(resolution,[],[f274,f405]) ).
fof(f405,plain,
n2(a),
inference(resolution,[],[f175,f397]) ).
fof(f333,axiom,
! [X11,X8,X6,X9,X7] :
( ~ m3(X8,X9,X8)
| ~ q2(X8,X6,X11)
| q4(X11,X6)
| ~ k3(X7,X7,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).
fof(f3422,plain,
! [X2,X3,X0,X1] :
( ~ q4(X3,X1)
| n5(X0,X2)
| ~ n4(X0,X1) ),
inference(subsumption_resolution,[],[f3403,f1025]) ).
fof(f1025,plain,
! [X0] : n5(X0,X0),
inference(resolution,[],[f1019,f352]) ).
fof(f352,axiom,
! [X11] :
( ~ r4(X11)
| n5(X11,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_314) ).
fof(f1019,plain,
! [X0] : r4(X0),
inference(resolution,[],[f1016,f14]) ).
fof(f1016,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| r4(X1) ),
inference(resolution,[],[f1015,f971]) ).
fof(f971,plain,
q3(e,e),
inference(subsumption_resolution,[],[f967,f30]) ).
fof(f967,plain,
( q3(e,e)
| ~ n0(e,e) ),
inference(resolution,[],[f293,f530]) ).
fof(f530,plain,
q2(e,e,e),
inference(resolution,[],[f224,f380]) ).
fof(f380,plain,
l1(e,e),
inference(resolution,[],[f40,f3]) ).
fof(f40,axiom,
! [X4,X5] :
( ~ n0(X5,X4)
| l1(X4,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f1015,plain,
! [X2,X3,X4,X5] :
( ~ q3(X5,X2)
| ~ p0(X3,X4)
| r4(X4) ),
inference(subsumption_resolution,[],[f336,f591]) ).
fof(f591,plain,
! [X0] : n3(X0),
inference(resolution,[],[f585,f278]) ).
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(f44,axiom,
! [X3,X10] :
( ~ m0(X10,X10,X3)
| m1(X3,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).
fof(f188,axiom,
! [X9,X4] :
( ~ m1(X4,X4,X9)
| p2(X9,X9,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
fof(f336,axiom,
! [X2,X3,X4,X5] :
( ~ n3(X4)
| r4(X4)
| ~ p0(X3,X4)
| ~ q3(X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
fof(f3403,plain,
! [X2,X3,X0,X1] :
( ~ n4(X0,X1)
| ~ n5(X2,X2)
| n5(X0,X2)
| ~ q4(X3,X1) ),
inference(resolution,[],[f345,f647]) ).
fof(f647,plain,
! [X0] : p4(X0,X0,X0),
inference(resolution,[],[f325,f475]) ).
fof(f325,axiom,
! [X11,X6] :
( ~ k3(X11,X11,X6)
| p4(X11,X6,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).
fof(f345,axiom,
! [X11,X8,X6,X9,X7] :
( ~ p4(X9,X9,X6)
| ~ n4(X11,X8)
| ~ n5(X9,X6)
| n5(X11,X6)
| ~ q4(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_307) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN159-1 : TPTP v8.2.0. Released v1.1.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n011.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon May 20 14:55:53 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (585)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (590)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.32 % (587)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (586)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (589)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.32 % (591)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.32 % (592)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)
% 0.14/0.32 % (588)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)
% 0.14/0.34 Detected minimum model sizes of [1]
% 0.14/0.34 Detected maximum model sizes of [5]
% 0.14/0.34 TRYING [1]
% 0.14/0.34 Detected minimum model sizes of [1]
% 0.14/0.34 Detected maximum model sizes of [5]
% 0.14/0.34 TRYING [1]
% 0.14/0.34 TRYING [2]
% 0.14/0.34 TRYING [2]
% 0.14/0.34 TRYING [1,1,1,1,1,1]
% 0.14/0.34 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.34 TRYING [2,1,1,1,1,1]
% 0.14/0.34 TRYING [2,1,1,1,1,1,1,1,1]
% 0.14/0.35 TRYING [3]
% 0.14/0.35 TRYING [3]
% 0.14/0.35 TRYING [3,1,1,1,1,1]
% 0.14/0.35 TRYING [3,1,1,1,1,1,1,1,1]
% 0.14/0.36 % (590)First to succeed.
% 0.14/0.36 % (590)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-585"
% 0.14/0.36 % (590)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (590)------------------------------
% 0.14/0.37 % (590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (590)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (590)Memory used [KB]: 1682
% 0.14/0.37 % (590)Time elapsed: 0.040 s
% 0.14/0.37 % (590)Instructions burned: 74 (million)
% 0.14/0.37 % (585)Success in time 0.05 s
%------------------------------------------------------------------------------