%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN156-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 2.04s 2.28s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 38
% Syntax : Number of clauses : 78 ( 39 unt; 0 nHn; 58 RR)
% Number of literals : 135 ( 0 equ; 58 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 86 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ n4(a,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_281,axiom,
( n4(X677,X678)
| ~ p3(X677,X678,X678)
| ~ n4(X677,X677) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_281) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_188,axiom,
( r2(X140)
| ~ r1(X140)
| ~ l0(X140) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(c173,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[rule_188,axiom_20]) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(axiom_17,axiom,
q0(X3,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(axiom_19,axiom,
m0(X5,d,X4),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_110,axiom,
( q1(X165,X165,X165)
| ~ m0(X163,X164,X165) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
cnf(c205,plain,
q1(X166,X166,X166),
inference(resolution,[status(thm)],[rule_110,axiom_19]) ).
cnf(rule_124,axiom,
( r1(X514)
| ~ q0(X514,X515)
| ~ s0(d)
| ~ q1(d,X515,d) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(c530,plain,
( r1(X530)
| ~ q0(X530,d)
| ~ s0(d) ),
inference(resolution,[status(thm)],[rule_124,c205]) ).
cnf(c550,plain,
( r1(X531)
| ~ s0(d) ),
inference(resolution,[status(thm)],[c530,axiom_17]) ).
cnf(c551,plain,
r1(X532),
inference(resolution,[status(thm)],[c550,axiom_1]) ).
cnf(c552,plain,
r2(a),
inference(resolution,[status(thm)],[c551,c173]) ).
cnf(rule_206,axiom,
( k3(X236,X237,X236)
| ~ p2(X237,X236,X236) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_206) ).
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_141,axiom,
( p2(X355,a,X355)
| ~ q1(X355,a,X355) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_141) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(axiom_14,axiom,
p0(b,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_092,axiom,
( q1(X413,X414,X413)
| ~ n0(X415,X414)
| ~ p0(X416,X413) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_092) ).
cnf(c448,plain,
( q1(X422,X421,X422)
| ~ n0(X423,X421) ),
inference(resolution,[status(thm)],[rule_092,axiom_14]) ).
cnf(c452,plain,
q1(X428,a,X428),
inference(resolution,[status(thm)],[c448,axiom_37]) ).
cnf(c459,plain,
p2(X438,a,X438),
inference(resolution,[status(thm)],[c452,rule_141]) ).
cnf(rule_155,axiom,
( p2(X591,X592,X592)
| ~ k1(X590)
| ~ p2(e,X591,X592) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(c668,plain,
( p2(a,e,e)
| ~ k1(X606) ),
inference(resolution,[status(thm)],[rule_155,c459]) ).
cnf(c700,plain,
p2(a,e,e),
inference(resolution,[status(thm)],[c668,c2]) ).
cnf(c706,plain,
k3(e,a,e),
inference(resolution,[status(thm)],[c700,rule_206]) ).
cnf(rule_235,axiom,
( m3(X626,X626,X625)
| ~ r2(X625)
| ~ k3(X626,X625,X626) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_235) ).
cnf(c712,plain,
( m3(e,e,a)
| ~ r2(a) ),
inference(resolution,[status(thm)],[rule_235,c706]) ).
cnf(c718,plain,
m3(e,e,a),
inference(resolution,[status(thm)],[c712,c552]) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(rule_007,axiom,
( m1(X42,X43,X42)
| ~ p0(X44,X43)
| ~ r0(X42) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_007) ).
cnf(c53,plain,
( m1(X72,X73,X72)
| ~ r0(X72) ),
inference(resolution,[status(thm)],[rule_007,axiom_14]) ).
cnf(c72,plain,
m1(e,X75,e),
inference(resolution,[status(thm)],[c53,axiom_13]) ).
cnf(rule_176,axiom,
( p2(X219,X220,X219)
| ~ m1(X220,X219,X220) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(c260,plain,
p2(X225,e,X225),
inference(resolution,[status(thm)],[rule_176,c72]) ).
cnf(rule_251,axiom,
( p3(X818,X820,X820)
| ~ m3(X820,X821,X819)
| ~ p2(X818,X820,X819) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).
cnf(c1022,plain,
( p3(X1112,e,e)
| ~ m3(e,X1113,X1112) ),
inference(resolution,[status(thm)],[rule_251,c260]) ).
cnf(c1364,plain,
p3(a,e,e),
inference(resolution,[status(thm)],[c1022,c718]) ).
cnf(c1367,plain,
( n4(a,e)
| ~ n4(a,a) ),
inference(resolution,[status(thm)],[c1364,rule_281]) ).
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(X33,X34,X32) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
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(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_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(X396,X396)
| ~ k4(X395) ),
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(X35,X35,X35)
| ~ m0(X36,X36,X35) ),
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(X210,X210,X210)
| ~ m1(X211,X211,X210) ),
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(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_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(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(c17,plain,
( l1(b,e)
| ~ p0(c,b)
| ~ r0(X1082) ),
inference(resolution,[status(thm)],[rule_003,axiom_27]) ).
cnf(c1326,plain,
( l1(b,e)
| ~ r0(X1084) ),
inference(resolution,[status(thm)],[c17,axiom_18]) ).
cnf(c1327,plain,
l1(b,e),
inference(resolution,[status(thm)],[c1326,axiom_9]) ).
cnf(c1330,plain,
q2(e,e,b),
inference(resolution,[status(thm)],[c1327,rule_186]) ).
cnf(c1331,plain,
( q3(e,b)
| ~ n0(e,e) ),
inference(resolution,[status(thm)],[c1330,rule_255]) ).
cnf(c1334,plain,
q3(e,b),
inference(resolution,[status(thm)],[c1331,axiom_30]) ).
cnf(c1336,plain,
( k4(c)
| ~ n0(c,d)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c1334,rule_274]) ).
cnf(c2076,plain,
( k4(c)
| ~ n3(e) ),
inference(resolution,[status(thm)],[c1336,axiom_34]) ).
cnf(c2077,plain,
k4(c),
inference(resolution,[status(thm)],[c2076,c252]) ).
cnf(c2078,plain,
n4(X1582,X1582),
inference(resolution,[status(thm)],[c2077,c420]) ).
cnf(c2084,plain,
n4(a,e),
inference(resolution,[status(thm)],[c2078,c1367]) ).
cnf(c2093,plain,
$false,
inference(resolution,[status(thm)],[c2084,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN156-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 20:06:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 2.04/2.28 % Version: 1.5
% 2.04/2.28 % SZS status Unsatisfiable
% 2.04/2.28 % SZS output start CNFRefutation
% See solution above
% 2.04/2.28
% 2.04/2.28 % Initial clauses : 369
% 2.04/2.28 % Processed clauses : 1166
% 2.04/2.28 % Factors computed : 10
% 2.04/2.28 % Resolvents computed: 2084
% 2.04/2.28 % Tautologies deleted: 16
% 2.04/2.28 % Forward subsumed : 975
% 2.04/2.28 % Backward subsumed : 532
% 2.04/2.28 % -------- CPU Time ---------
% 2.04/2.28 % User time : 1.903 s
% 2.04/2.28 % System time : 0.022 s
% 2.04/2.28 % Total time : 1.925 s
%------------------------------------------------------------------------------