%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:47:30 EDT 2024
% Result : Unsatisfiable 2.24s 2.45s
% Output : Refutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of clauses : 78 ( 36 unt; 0 nHn; 48 RR)
% Number of literals : 144 ( 0 equ; 67 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 117 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ n5(a,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_194,axiom,
( k3(X141,X141,X142)
| ~ k2(X142,X141) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_194) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_001,axiom,
( k1(X8)
| ~ n0(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(c3,plain,
k1(d),
inference(resolution,[status(thm)],[rule_001,axiom_34]) ).
cnf(rule_129,axiom,
( k2(X126,X126)
| ~ q1(X127,X126,X126) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(axiom_19,axiom,
m0(X5,d,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_110,axiom,
( q1(X163,X163,X163)
| ~ m0(X165,X164,X163) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_110) ).
cnf(c205,plain,
q1(X166,X166,X166),
inference(resolution,[status(thm)],[rule_110,axiom_19]) ).
cnf(c211,plain,
k2(X168,X168),
inference(resolution,[status(thm)],[c205,rule_129]) ).
cnf(rule_005,axiom,
( m1(X28,X29,X28)
| ~ m0(X29,X29,X28) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_005) ).
cnf(c38,plain,
m1(X30,d,X30),
inference(resolution,[status(thm)],[rule_005,axiom_19]) ).
cnf(rule_127,axiom,
( k2(X523,X522)
| ~ m1(X521,X522,X523)
| ~ k1(X524)
| ~ k2(X524,X522) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
cnf(c537,plain,
( k2(X928,d)
| ~ k1(X927)
| ~ k2(X927,d) ),
inference(resolution,[status(thm)],[rule_127,c38]) ).
cnf(c1176,plain,
( k2(X929,d)
| ~ k1(d) ),
inference(resolution,[status(thm)],[c537,c211]) ).
cnf(c1179,plain,
k2(X930,d),
inference(resolution,[status(thm)],[c1176,c3]) ).
cnf(c1185,plain,
k3(d,d,X932),
inference(resolution,[status(thm)],[c1179,rule_194]) ).
cnf(axiom_14,axiom,
p0(b,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_085,axiom,
( p1(X102,X102,X102)
| ~ p0(X103,X102) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(c129,plain,
p1(X104,X104,X104),
inference(resolution,[status(thm)],[rule_085,axiom_14]) ).
cnf(rule_181,axiom,
( q2(X229,X229,X229)
| ~ p1(X229,X229,X229) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(c272,plain,
q2(X230,X230,X230),
inference(resolution,[status(thm)],[rule_181,c129]) ).
cnf(rule_236,axiom,
( m3(X41,X41,X41)
| ~ n2(X41) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
cnf(rule_137,axiom,
( n2(X33)
| ~ p1(X32,X34,X33) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(c130,plain,
n2(X108),
inference(resolution,[status(thm)],[c129,rule_137]) ).
cnf(c133,plain,
m3(X115,X115,X115),
inference(resolution,[status(thm)],[c130,rule_236]) ).
cnf(rule_295,axiom,
( q4(X992,X989)
| ~ k3(X991,X991,X992)
| ~ q2(X988,X989,X992)
| ~ m3(X988,X990,X988) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(c1222,plain,
( q4(X1364,X1365)
| ~ k3(X1362,X1362,X1364)
| ~ q2(X1363,X1365,X1364) ),
inference(resolution,[status(thm)],[rule_295,c133]) ).
cnf(c1703,plain,
( q4(X1366,X1366)
| ~ k3(X1367,X1367,X1366) ),
inference(resolution,[status(thm)],[c1222,c272]) ).
cnf(c1708,plain,
q4(X1368,X1368),
inference(resolution,[status(thm)],[c1703,c1185]) ).
cnf(rule_284,axiom,
( n4(X393,X393)
| ~ k4(X394)
| ~ m3(X393,X393,X393) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_284) ).
cnf(c420,plain,
( n4(X396,X396)
| ~ k4(X395) ),
inference(resolution,[status(thm)],[rule_284,c133]) ).
cnf(rule_240,axiom,
( n3(X46)
| ~ p2(X45,X47,X46) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_006,axiom,
( m1(X35,X35,X35)
| ~ m0(X36,X36,X35) ),
file('/export/starexec/sandbox2/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(X210,X210,X210)
| ~ m1(X211,X211,X210) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_150) ).
cnf(c251,plain,
p2(X212,X212,X212),
inference(resolution,[status(thm)],[rule_150,c44]) ).
cnf(c252,plain,
n3(X216),
inference(resolution,[status(thm)],[c251,rule_240]) ).
cnf(rule_274,axiom,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_274) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(rule_255,axiom,
( q3(X650,X649)
| ~ q2(X651,X650,X649)
| ~ n0(X651,X650) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_255) ).
cnf(rule_186,axiom,
( q2(X135,X135,X134)
| ~ l1(X134,X135) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_186) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(axiom_18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_18) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(rule_003,axiom,
( l1(X19,X18)
| ~ p0(X17,X19)
| ~ r0(X20)
| ~ m0(X18,X19,X17) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_003) ).
cnf(c17,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ r0(X1085) ),
inference(resolution,[status(thm)],[rule_003,axiom_27]) ).
cnf(c1323,plain,
( l1(b,e)
| ~ r0(X1086) ),
inference(resolution,[status(thm)],[c17,axiom_18]) ).
cnf(c1324,plain,
l1(b,e),
inference(resolution,[status(thm)],[c1323,axiom_9]) ).
cnf(c1327,plain,
q2(e,e,b),
inference(resolution,[status(thm)],[c1324,rule_186]) ).
cnf(c1330,plain,
( q3(e,b)
| ~ n0(e,e) ),
inference(resolution,[status(thm)],[c1327,rule_255]) ).
cnf(c1331,plain,
q3(e,b),
inference(resolution,[status(thm)],[c1330,axiom_30]) ).
cnf(c1332,plain,
( k4(c)
| ~ n0(c,d)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c1331,rule_274]) ).
cnf(c2055,plain,
( k4(c)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c1332,axiom_34]) ).
cnf(c2056,plain,
k4(c),
inference(resolution,[status(thm)],[c2055,c252]) ).
cnf(c2058,plain,
n4(X1587,X1587),
inference(resolution,[status(thm)],[c2056,c420]) ).
cnf(rule_314,axiom,
( n5(X12,X12)
| ~ r4(X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_314) ).
cnf(c19,plain,
( l1(d,X725)
| ~ p0(X724,d)
| ~ r0(X723) ),
inference(resolution,[status(thm)],[rule_003,axiom_19]) ).
cnf(c869,plain,
( l1(d,X727)
| ~ r0(X726) ),
inference(resolution,[status(thm)],[c19,axiom_14]) ).
cnf(c870,plain,
l1(d,X728),
inference(resolution,[status(thm)],[c869,axiom_9]) ).
cnf(c873,plain,
q2(X731,X731,d),
inference(resolution,[status(thm)],[c870,rule_186]) ).
cnf(c877,plain,
( q3(X732,d)
| ~ n0(X732,X732) ),
inference(resolution,[status(thm)],[c873,rule_255]) ).
cnf(c878,plain,
q3(e,d),
inference(resolution,[status(thm)],[c877,axiom_30]) ).
cnf(rule_298,axiom,
( r4(X999)
| ~ n3(X999)
| ~ q3(X998,X1000)
| ~ p0(X997,X999) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(c1247,plain,
( r4(X1003)
| ~ n3(X1003)
| ~ q3(X1002,X1001) ),
inference(resolution,[status(thm)],[rule_298,axiom_14]) ).
cnf(c1248,plain,
( r4(X1004)
| ~ n3(X1004) ),
inference(resolution,[status(thm)],[c1247,c878]) ).
cnf(c1257,plain,
r4(X1005),
inference(resolution,[status(thm)],[c1248,c252]) ).
cnf(c1259,plain,
n5(X1006,X1006),
inference(resolution,[status(thm)],[c1257,rule_314]) ).
cnf(rule_210,axiom,
( k3(X39,X39,X39)
| ~ n2(X39) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_210) ).
cnf(c131,plain,
k3(X109,X109,X109),
inference(resolution,[status(thm)],[c130,rule_210]) ).
cnf(rule_287,axiom,
( p4(X250,X251,X250)
| ~ k3(X250,X250,X251) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_287) ).
cnf(c296,plain,
p4(X252,X252,X252),
inference(resolution,[status(thm)],[rule_287,c131]) ).
cnf(rule_307,axiom,
( n5(X1015,X1012)
| ~ q4(X1014,X1011)
| ~ n4(X1015,X1011)
| ~ p4(X1013,X1013,X1012)
| ~ n5(X1013,X1012) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_307) ).
cnf(c1270,plain,
( n5(X1820,X1821)
| ~ q4(X1822,X1823)
| ~ n4(X1820,X1823)
| ~ n5(X1821,X1821) ),
inference(resolution,[status(thm)],[rule_307,c296]) ).
cnf(c2234,plain,
( n5(X1826,X1824)
| ~ q4(X1825,X1827)
| ~ n4(X1826,X1827) ),
inference(resolution,[status(thm)],[c1270,c1259]) ).
cnf(c2239,plain,
( n5(X1830,X1829)
| ~ q4(X1828,X1830) ),
inference(resolution,[status(thm)],[c2234,c2058]) ).
cnf(c2248,plain,
n5(X1831,X1832),
inference(resolution,[status(thm)],[c2239,c1708]) ).
cnf(c2250,plain,
$false,
inference(resolution,[status(thm)],[c2248,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n003.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 : Wed May 8 20:13:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 2.24/2.45 % Version: 1.5
% 2.24/2.45 % SZS status Unsatisfiable
% 2.24/2.45 % SZS output start CNFRefutation
% See solution above
% 2.24/2.45
% 2.24/2.45 % Initial clauses : 369
% 2.24/2.45 % Processed clauses : 1283
% 2.24/2.45 % Factors computed : 10
% 2.24/2.45 % Resolvents computed: 2241
% 2.24/2.45 % Tautologies deleted: 20
% 2.24/2.45 % Forward subsumed : 1194
% 2.24/2.45 % Backward subsumed : 591
% 2.24/2.45 % -------- CPU Time ---------
% 2.24/2.45 % User time : 2.071 s
% 2.24/2.45 % System time : 0.017 s
% 2.24/2.45 % Total time : 2.088 s
%------------------------------------------------------------------------------