%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN143-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:47:28 EDT 2024
% Result : Unsatisfiable 2.35s 2.56s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of clauses : 68 ( 31 unt; 0 nHn; 39 RR)
% Number of literals : 129 ( 0 equ; 62 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 93 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ m5(d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_002,axiom,
( l1(X16,X16)
| ~ n0(X15,X16) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(c13,plain,
l1(d,d),
inference(resolution,[status(thm)],[rule_002,axiom_34]) ).
cnf(rule_244,axiom,
( p3(X48,X48,X48)
| ~ n2(X48) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).
cnf(rule_137,axiom,
( n2(X32)
| ~ p1(X34,X33,X32) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
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(c130,plain,
n2(X108),
inference(resolution,[status(thm)],[c128,rule_137]) ).
cnf(c132,plain,
p3(X110,X110,X110),
inference(resolution,[status(thm)],[c130,rule_244]) ).
cnf(rule_299,axiom,
( s4(X401)
| ~ p3(X404,X402,X403)
| ~ l1(X401,X402) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_299) ).
cnf(c421,plain,
( s4(X405)
| ~ l1(X405,X406) ),
inference(resolution,[status(thm)],[rule_299,c132]) ).
cnf(c425,plain,
s4(d),
inference(resolution,[status(thm)],[c421,c13]) ).
cnf(rule_305,axiom,
( m5(X718,X718)
| ~ s4(X718)
| ~ m4(e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_305) ).
cnf(rule_125,axiom,
( s1(X9)
| ~ p0(X9,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(c8,plain,
s1(b),
inference(resolution,[status(thm)],[rule_125,axiom_14]) ).
cnf(axiom_17,axiom,
q0(X3,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_126,axiom,
( s1(X181)
| ~ q0(X181,X182)
| ~ s1(X180) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(c220,plain,
( s1(X183)
| ~ s1(X184) ),
inference(resolution,[status(thm)],[rule_126,axiom_17]) ).
cnf(c223,plain,
s1(X185),
inference(resolution,[status(thm)],[c220,c8]) ).
cnf(axiom_19,axiom,
m0(X4,d,X5),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_133,axiom,
( l2(X545,X545)
| ~ p0(X542,X542)
| ~ s1(X544)
| ~ m0(X543,X544,X545) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(c563,plain,
( l2(X563,X563)
| ~ p0(X564,X564)
| ~ s1(d) ),
inference(resolution,[status(thm)],[rule_133,axiom_19]) ).
cnf(c636,plain,
( l2(X565,X565)
| ~ s1(d) ),
inference(resolution,[status(thm)],[c563,axiom_14]) ).
cnf(c637,plain,
l2(X566,X566),
inference(resolution,[status(thm)],[c636,c223]) ).
cnf(rule_279,axiom,
( m4(X674,X675)
| ~ l2(X676,X675)
| ~ s3(a,X674) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
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(rule_273,axiom,
( s3(X902,X904)
| ~ q2(X901,X902,X901)
| ~ s2(X902)
| ~ m0(X901,X903,X904) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
cnf(c1140,plain,
( s3(X912,X911)
| ~ q2(X910,X912,X910)
| ~ s2(X912) ),
inference(resolution,[status(thm)],[rule_273,axiom_19]) ).
cnf(c1159,plain,
( s3(X913,X914)
| ~ s2(X913) ),
inference(resolution,[status(thm)],[c1140,c271]) ).
cnf(rule_189,axiom,
( s2(X684)
| ~ q2(b,X684,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
cnf(axiom_24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(rule_069,axiom,
( p1(X97,X97,X96)
| ~ p0(X96,X97) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_069) ).
cnf(c121,plain,
p1(X98,X98,b),
inference(resolution,[status(thm)],[rule_069,axiom_14]) ).
cnf(rule_071,axiom,
( p1(X313,X314,X313)
| ~ l0(X315)
| ~ p1(X314,X312,X313)
| ~ s0(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_071) ).
cnf(c362,plain,
( p1(b,X1160,b)
| ~ l0(X1159)
| ~ s0(b) ),
inference(resolution,[status(thm)],[rule_071,c121]) ).
cnf(c1408,plain,
( p1(b,X1162,b)
| ~ l0(X1161) ),
inference(resolution,[status(thm)],[c362,axiom_5]) ).
cnf(c1409,plain,
p1(b,X1163,b),
inference(resolution,[status(thm)],[c1408,axiom_24]) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(c10,plain,
l1(a,a),
inference(resolution,[status(thm)],[rule_002,axiom_37]) ).
cnf(rule_054,axiom,
( n1(X246,X247,X247)
| ~ l0(X248)
| ~ l1(X248,X246)
| ~ n1(X246,X247,X246) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
cnf(rule_050,axiom,
( n1(X222,X223,X222)
| ~ s0(b)
| ~ l0(X222)
| ~ p0(b,X223) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
cnf(c262,plain,
( n1(X475,X474,X475)
| ~ s0(b)
| ~ l0(X475) ),
inference(resolution,[status(thm)],[rule_050,axiom_14]) ).
cnf(c496,plain,
( n1(a,X489,a)
| ~ s0(b) ),
inference(resolution,[status(thm)],[c262,axiom_20]) ).
cnf(c509,plain,
n1(a,X490,a),
inference(resolution,[status(thm)],[c496,axiom_5]) ).
cnf(c510,plain,
( n1(a,X1181,X1181)
| ~ l0(X1180)
| ~ l1(X1180,a) ),
inference(resolution,[status(thm)],[c509,rule_054]) ).
cnf(c1425,plain,
( n1(a,X1182,X1182)
| ~ l0(a) ),
inference(resolution,[status(thm)],[c510,c10]) ).
cnf(c1427,plain,
n1(a,X1183,X1183),
inference(resolution,[status(thm)],[c1425,axiom_20]) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(rule_177,axiom,
( q2(X510,X511,X511)
| ~ k0(X511)
| ~ p1(X510,X510,X510) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
cnf(c524,plain,
( q2(X513,X512,X512)
| ~ k0(X512) ),
inference(resolution,[status(thm)],[rule_177,c128]) ).
cnf(c527,plain,
q2(X517,b,b),
inference(resolution,[status(thm)],[c524,axiom_32]) ).
cnf(rule_182,axiom,
( q2(X662,X663,X662)
| ~ p1(X662,X662,X661)
| ~ n1(X663,X662,X661)
| ~ q2(X663,X661,X662) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
cnf(c758,plain,
( q2(b,X1486,b)
| ~ p1(b,b,b)
| ~ n1(X1486,b,b) ),
inference(resolution,[status(thm)],[rule_182,c527]) ).
cnf(c1954,plain,
( q2(b,a,b)
| ~ p1(b,b,b) ),
inference(resolution,[status(thm)],[c758,c1427]) ).
cnf(c2305,plain,
q2(b,a,b),
inference(resolution,[status(thm)],[c1954,c1409]) ).
cnf(c2308,plain,
( s2(a)
| ~ s1(b) ),
inference(resolution,[status(thm)],[c2305,rule_189]) ).
cnf(c2312,plain,
s2(a),
inference(resolution,[status(thm)],[c2308,c223]) ).
cnf(c2317,plain,
s3(a,X1905),
inference(resolution,[status(thm)],[c2312,c1159]) ).
cnf(c2318,plain,
( m4(X1911,X1910)
| ~ l2(X1909,X1910) ),
inference(resolution,[status(thm)],[c2317,rule_279]) ).
cnf(c2325,plain,
m4(X1916,X1915),
inference(resolution,[status(thm)],[c2318,c637]) ).
cnf(c2328,plain,
( m5(X1919,X1919)
| ~ s4(X1919) ),
inference(resolution,[status(thm)],[c2325,rule_305]) ).
cnf(c2329,plain,
m5(d,d),
inference(resolution,[status(thm)],[c2328,c425]) ).
cnf(c2334,plain,
$false,
inference(resolution,[status(thm)],[c2329,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN143-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 20:37:08 EDT 2024
% 0.13/0.35 % 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
% 2.35/2.57
% 2.35/2.57 % Initial clauses : 369
% 2.35/2.57 % Processed clauses : 1322
% 2.35/2.57 % Factors computed : 10
% 2.35/2.57 % Resolvents computed: 2325
% 2.35/2.57 % Tautologies deleted: 20
% 2.35/2.57 % Forward subsumed : 1262
% 2.35/2.57 % Backward subsumed : 609
% 2.35/2.57 % -------- CPU Time ---------
% 2.35/2.57 % User time : 2.191 s
% 2.35/2.57 % System time : 0.020 s
% 2.35/2.57 % Total time : 2.211 s
%------------------------------------------------------------------------------