%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 : Thu May 9 17:47:31 EDT 2024
% Result : Unsatisfiable 2.35s 2.56s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of clauses : 79 ( 37 unt; 0 nHn; 46 RR)
% Number of literals : 146 ( 0 equ; 68 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 118 ( 54 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ n5(e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_11,axiom,
n0(e,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
cnf(rule_001,axiom,
( k1(X8)
| ~ n0(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(c2,plain,
k1(b),
inference(resolution,[status(thm)],[rule_001,axiom_11]) ).
cnf(rule_136,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).
cnf(c43,plain,
m2(b),
inference(resolution,[status(thm)],[rule_136,c2]) ).
cnf(rule_201,axiom,
( k3(X706,X706,X705)
| ~ p1(X705,X704,X706)
| ~ m2(X707)
| ~ m2(X704) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_201) ).
cnf(axiom_12,axiom,
m0(a,X6,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_12) ).
cnf(rule_082,axiom,
( p1(X373,X374,X372)
| ~ m0(X372,X373,X371)
| ~ p1(X372,X373,X371) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_082) ).
cnf(axiom_14,axiom,
p0(b,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_085,axiom,
( p1(X103,X103,X103)
| ~ p0(X102,X103) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(c128,plain,
p1(X104,X104,X104),
inference(resolution,[status(thm)],[rule_085,axiom_14]) ).
cnf(c401,plain,
( p1(X382,X381,X382)
| ~ m0(X382,X382,X382) ),
inference(resolution,[status(thm)],[rule_082,c128]) ).
cnf(c414,plain,
p1(a,X387,a),
inference(resolution,[status(thm)],[c401,axiom_12]) ).
cnf(c418,plain,
( p1(X787,X786,a)
| ~ m0(a,X787,a) ),
inference(resolution,[status(thm)],[c414,rule_082]) ).
cnf(c966,plain,
p1(X789,X788,a),
inference(resolution,[status(thm)],[c418,axiom_12]) ).
cnf(c967,plain,
( k3(a,a,X1052)
| ~ m2(X1054)
| ~ m2(X1053) ),
inference(resolution,[status(thm)],[c966,rule_201]) ).
cnf(c1304,plain,
( k3(a,a,X1055)
| ~ m2(X1056) ),
inference(factor,[status(thm)],[c967]) ).
cnf(c1307,plain,
k3(a,a,X1057),
inference(resolution,[status(thm)],[c1304,c43]) ).
cnf(rule_186,axiom,
( q2(X134,X134,X135)
| ~ l1(X135,X134) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(axiom_19,axiom,
m0(X5,d,X4),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_003,axiom,
( l1(X17,X18)
| ~ p0(X20,X17)
| ~ r0(X19)
| ~ m0(X18,X17,X20) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(c19,plain,
( l1(d,X723)
| ~ p0(X725,d)
| ~ r0(X724) ),
inference(resolution,[status(thm)],[rule_003,axiom_19]) ).
cnf(c871,plain,
( l1(d,X728)
| ~ r0(X727) ),
inference(resolution,[status(thm)],[c19,axiom_14]) ).
cnf(c872,plain,
l1(d,X729),
inference(resolution,[status(thm)],[c871,axiom_9]) ).
cnf(c875,plain,
q2(X731,X731,d),
inference(resolution,[status(thm)],[c872,rule_186]) ).
cnf(rule_236,axiom,
( m3(X41,X41,X41)
| ~ n2(X41) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
cnf(rule_137,axiom,
( n2(X32)
| ~ p1(X34,X33,X32) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(c130,plain,
n2(X108),
inference(resolution,[status(thm)],[c128,rule_137]) ).
cnf(c131,plain,
m3(X109,X109,X109),
inference(resolution,[status(thm)],[c130,rule_236]) ).
cnf(rule_295,axiom,
( q4(X987,X990)
| ~ k3(X991,X991,X987)
| ~ q2(X988,X990,X987)
| ~ m3(X988,X989,X988) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(c1218,plain,
( q4(X1477,X1479)
| ~ k3(X1478,X1478,X1477)
| ~ q2(X1480,X1479,X1477) ),
inference(resolution,[status(thm)],[rule_295,c131]) ).
cnf(c1925,plain,
( q4(d,X1500)
| ~ k3(X1499,X1499,d) ),
inference(resolution,[status(thm)],[c1218,c875]) ).
cnf(c1977,plain,
q4(d,X1505),
inference(resolution,[status(thm)],[c1925,c1307]) ).
cnf(rule_284,axiom,
( n4(X393,X393)
| ~ k4(X394)
| ~ m3(X393,X393,X393) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_284) ).
cnf(c420,plain,
( n4(X395,X395)
| ~ k4(X396) ),
inference(resolution,[status(thm)],[rule_284,c131]) ).
cnf(rule_240,axiom,
( n3(X45)
| ~ p2(X47,X46,X45) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_006,axiom,
( m1(X36,X36,X36)
| ~ m0(X35,X35,X36) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_006) ).
cnf(c44,plain,
m1(X37,X37,X37),
inference(resolution,[status(thm)],[rule_006,axiom_19]) ).
cnf(rule_150,axiom,
( p2(X211,X211,X211)
| ~ m1(X210,X210,X211) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_150) ).
cnf(c247,plain,
p2(X212,X212,X212),
inference(resolution,[status(thm)],[rule_150,c44]) ).
cnf(c252,plain,
n3(X216),
inference(resolution,[status(thm)],[c247,rule_240]) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_274,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_255,axiom,
( q3(X649,X650)
| ~ q2(X651,X649,X650)
| ~ n0(X651,X649) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(axiom_18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(c17,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ r0(X1083) ),
inference(resolution,[status(thm)],[rule_003,axiom_27]) ).
cnf(c1324,plain,
( l1(b,e)
| ~ r0(X1084) ),
inference(resolution,[status(thm)],[c17,axiom_18]) ).
cnf(c1325,plain,
l1(b,e),
inference(resolution,[status(thm)],[c1324,axiom_9]) ).
cnf(c1328,plain,
q2(e,e,b),
inference(resolution,[status(thm)],[c1325,rule_186]) ).
cnf(c1329,plain,
( q3(e,b)
| ~ n0(e,e) ),
inference(resolution,[status(thm)],[c1328,rule_255]) ).
cnf(c1332,plain,
q3(e,b),
inference(resolution,[status(thm)],[c1329,axiom_30]) ).
cnf(c1334,plain,
( k4(c)
| ~ n0(c,d)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c1332,rule_274]) ).
cnf(c2071,plain,
( k4(c)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c1334,axiom_34]) ).
cnf(c2072,plain,
k4(c),
inference(resolution,[status(thm)],[c2071,c252]) ).
cnf(c2073,plain,
n4(X1585,X1585),
inference(resolution,[status(thm)],[c2072,c420]) ).
cnf(rule_314,axiom,
( n5(X12,X12)
| ~ r4(X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_314) ).
cnf(rule_181,axiom,
( q2(X229,X229,X229)
| ~ p1(X229,X229,X229) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(c271,plain,
q2(X230,X230,X230),
inference(resolution,[status(thm)],[rule_181,c128]) ).
cnf(c740,plain,
( q3(X652,X652)
| ~ n0(X652,X652) ),
inference(resolution,[status(thm)],[rule_255,c271]) ).
cnf(c741,plain,
q3(e,e),
inference(resolution,[status(thm)],[c740,axiom_30]) ).
cnf(rule_298,axiom,
( r4(X997)
| ~ n3(X997)
| ~ q3(X999,X1000)
| ~ p0(X998,X997) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(c1244,plain,
( r4(X1001)
| ~ n3(X1001)
| ~ q3(X1002,X1003) ),
inference(resolution,[status(thm)],[rule_298,axiom_14]) ).
cnf(c1246,plain,
( r4(X1004)
| ~ n3(X1004) ),
inference(resolution,[status(thm)],[c1244,c741]) ).
cnf(c1253,plain,
r4(X1005),
inference(resolution,[status(thm)],[c1246,c252]) ).
cnf(c1255,plain,
n5(X1006,X1006),
inference(resolution,[status(thm)],[c1253,rule_314]) ).
cnf(rule_210,axiom,
( k3(X39,X39,X39)
| ~ n2(X39) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_210) ).
cnf(c133,plain,
k3(X115,X115,X115),
inference(resolution,[status(thm)],[c130,rule_210]) ).
cnf(rule_287,axiom,
( p4(X251,X250,X251)
| ~ k3(X251,X251,X250) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_287) ).
cnf(c296,plain,
p4(X252,X252,X252),
inference(resolution,[status(thm)],[rule_287,c133]) ).
cnf(rule_307,axiom,
( n5(X1013,X1016)
| ~ q4(X1017,X1014)
| ~ n4(X1013,X1014)
| ~ p4(X1015,X1015,X1016)
| ~ n5(X1015,X1016) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_307) ).
cnf(c1261,plain,
( n5(X1827,X1824)
| ~ q4(X1826,X1825)
| ~ n4(X1827,X1825)
| ~ n5(X1824,X1824) ),
inference(resolution,[status(thm)],[rule_307,c296]) ).
cnf(c2250,plain,
( n5(X1831,X1828)
| ~ q4(X1829,X1830)
| ~ n4(X1831,X1830) ),
inference(resolution,[status(thm)],[c1261,c1255]) ).
cnf(c2258,plain,
( n5(X1832,X1834)
| ~ q4(X1833,X1832) ),
inference(resolution,[status(thm)],[c2250,c2073]) ).
cnf(c2261,plain,
n5(X1835,X1836),
inference(resolution,[status(thm)],[c2258,c1977]) ).
cnf(c2266,plain,
$false,
inference(resolution,[status(thm)],[c2261,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN163-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed May 8 20:24:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 2.35/2.56 % Version: 1.5
% 2.35/2.56 % SZS status Unsatisfiable
% 2.35/2.56 % SZS output start CNFRefutation
% See solution above
% 2.35/2.56
% 2.35/2.56 % Initial clauses : 369
% 2.35/2.56 % Processed clauses : 1283
% 2.35/2.56 % Factors computed : 10
% 2.35/2.56 % Resolvents computed: 2257
% 2.35/2.56 % Tautologies deleted: 20
% 2.35/2.56 % Forward subsumed : 1199
% 2.35/2.56 % Backward subsumed : 591
% 2.35/2.56 % -------- CPU Time ---------
% 2.35/2.56 % User time : 2.170 s
% 2.35/2.56 % System time : 0.013 s
% 2.35/2.56 % Total time : 2.183 s
%------------------------------------------------------------------------------