%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN269-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:47:45 EDT 2024
% Result : Unsatisfiable 1.76s 1.96s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 32
% Syntax : Number of clauses : 71 ( 36 unt; 0 nHn; 61 RR)
% Number of literals : 125 ( 0 equ; 55 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 : 72 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p4(b,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(rule_267,axiom,
( r3(X242,X243,X242)
| ~ p2(X242,X241,X243) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(axiom_7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
cnf(rule_063,axiom,
( p1(X290,X290,X291)
| ~ n0(d,X290)
| ~ k0(X291) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_063) ).
cnf(c348,plain,
( p1(b,b,X300)
| ~ k0(X300) ),
inference(resolution,[status(thm)],[rule_063,axiom_7]) ).
cnf(c355,plain,
p1(b,b,e),
inference(resolution,[status(thm)],[c348,axiom_28]) ).
cnf(rule_145,axiom,
( p2(e,X558,X557)
| ~ r0(e)
| ~ p1(X558,X557,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_145) ).
cnf(c629,plain,
( p2(e,b,b)
| ~ r0(e) ),
inference(resolution,[status(thm)],[rule_145,c355]) ).
cnf(c649,plain,
p2(e,b,b),
inference(resolution,[status(thm)],[c629,axiom_13]) ).
cnf(c650,plain,
r3(e,b,e),
inference(resolution,[status(thm)],[c649,rule_267]) ).
cnf(rule_285,axiom,
( p4(X708,X708,X707)
| ~ r0(X708)
| ~ r3(X707,X708,X707) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_285) ).
cnf(c839,plain,
( p4(b,b,e)
| ~ r0(b) ),
inference(resolution,[status(thm)],[rule_285,c650]) ).
cnf(c865,plain,
p4(b,b,e),
inference(resolution,[status(thm)],[c839,axiom_9]) ).
cnf(rule_288,axiom,
( p4(X931,X933,X933)
| ~ r3(X933,X933,X931)
| ~ p4(X934,X934,X932) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).
cnf(c1194,plain,
( p4(X950,X951,X951)
| ~ r3(X951,X951,X950) ),
inference(resolution,[status(thm)],[rule_288,c865]) ).
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(c3,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,c3]) ).
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_36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(axiom_14,axiom,
p0(b,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_092,axiom,
( q1(X413,X416,X413)
| ~ n0(X414,X416)
| ~ p0(X415,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(c454,plain,
q1(X430,b,X430),
inference(resolution,[status(thm)],[c448,axiom_11]) ).
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(c528,plain,
( r1(X527)
| ~ q0(X527,b)
| ~ s0(d) ),
inference(resolution,[status(thm)],[rule_124,c454]) ).
cnf(c548,plain,
( r1(a)
| ~ s0(d) ),
inference(resolution,[status(thm)],[c528,axiom_36]) ).
cnf(c551,plain,
r1(a),
inference(resolution,[status(thm)],[c548,axiom_1]) ).
cnf(c552,plain,
r2(a),
inference(resolution,[status(thm)],[c551,c173]) ).
cnf(rule_231,axiom,
( m3(X619,X620,X619)
| ~ r2(X619)
| ~ k2(c,X620) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_231) ).
cnf(axiom_3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
cnf(c1,plain,
k1(e),
inference(resolution,[status(thm)],[rule_001,axiom_3]) ).
cnf(rule_129,axiom,
( k2(X126,X126)
| ~ q1(X127,X126,X126) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(axiom_19,axiom,
m0(X5,d,X4),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_110,axiom,
( q1(X164,X164,X164)
| ~ m0(X165,X163,X164) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_110) ).
cnf(c204,plain,
q1(X166,X166,X166),
inference(resolution,[status(thm)],[rule_110,axiom_19]) ).
cnf(c211,plain,
k2(X168,X168),
inference(resolution,[status(thm)],[c204,rule_129]) ).
cnf(rule_007,axiom,
( m1(X47,X45,X47)
| ~ p0(X46,X45)
| ~ r0(X47) ),
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_127,axiom,
( k2(X522,X521)
| ~ m1(X523,X521,X522)
| ~ k1(X524)
| ~ k2(X524,X521) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_127) ).
cnf(c537,plain,
( k2(e,X539)
| ~ k1(X540)
| ~ k2(X540,X539) ),
inference(resolution,[status(thm)],[rule_127,c72]) ).
cnf(c557,plain,
( k2(e,X545)
| ~ k1(X545) ),
inference(resolution,[status(thm)],[c537,c211]) ).
cnf(c567,plain,
k2(e,b),
inference(resolution,[status(thm)],[c557,c3]) ).
cnf(axiom_24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(rule_021,axiom,
( m1(X93,X92,X93)
| ~ l0(X93)
| ~ k0(X92) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).
cnf(c112,plain,
( m1(X162,b,X162)
| ~ l0(X162) ),
inference(resolution,[status(thm)],[rule_021,axiom_32]) ).
cnf(c199,plain,
m1(c,b,c),
inference(resolution,[status(thm)],[c112,axiom_24]) ).
cnf(c539,plain,
( k2(c,b)
| ~ k1(X1206)
| ~ k2(X1206,b) ),
inference(resolution,[status(thm)],[rule_127,c199]) ).
cnf(c1481,plain,
( k2(c,b)
| ~ k1(e) ),
inference(resolution,[status(thm)],[c539,c567]) ).
cnf(c1484,plain,
k2(c,b),
inference(resolution,[status(thm)],[c1481,c1]) ).
cnf(c1486,plain,
( m3(X1207,b,X1207)
| ~ r2(X1207) ),
inference(resolution,[status(thm)],[c1484,rule_231]) ).
cnf(c1494,plain,
m3(a,b,a),
inference(resolution,[status(thm)],[c1486,c552]) ).
cnf(rule_176,axiom,
( p2(X219,X220,X219)
| ~ m1(X220,X219,X220) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(c256,plain,
p2(X224,e,X224),
inference(resolution,[status(thm)],[rule_176,c72]) ).
cnf(c279,plain,
r3(X244,X244,X244),
inference(resolution,[status(thm)],[rule_267,c256]) ).
cnf(rule_268,axiom,
( r3(X868,X868,X870)
| ~ m2(X870)
| ~ m3(X871,b,X868)
| ~ r3(X870,X869,X869) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_268) ).
cnf(c1096,plain,
( r3(X1316,X1316,X1315)
| ~ m2(X1315)
| ~ m3(X1314,b,X1316) ),
inference(resolution,[status(thm)],[rule_268,c279]) ).
cnf(c1647,plain,
( r3(a,a,X1319)
| ~ m2(X1319) ),
inference(resolution,[status(thm)],[c1096,c1494]) ).
cnf(c1655,plain,
r3(a,a,b),
inference(resolution,[status(thm)],[c1647,c43]) ).
cnf(c1657,plain,
p4(b,a,a),
inference(resolution,[status(thm)],[c1655,c1194]) ).
cnf(c1660,plain,
$false,
inference(resolution,[status(thm)],[c1657,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN269-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n017.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 20:24:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.76/1.96 % Version: 1.5
% 1.76/1.96 % SZS status Unsatisfiable
% 1.76/1.96 % SZS output start CNFRefutation
% See solution above
% 1.76/1.96
% 1.76/1.96 % Initial clauses : 369
% 1.76/1.96 % Processed clauses : 1014
% 1.76/1.96 % Factors computed : 10
% 1.76/1.96 % Resolvents computed: 1651
% 1.76/1.96 % Tautologies deleted: 15
% 1.76/1.96 % Forward subsumed : 737
% 1.76/1.96 % Backward subsumed : 395
% 1.76/1.96 % -------- CPU Time ---------
% 1.76/1.96 % User time : 1.589 s
% 1.76/1.96 % System time : 0.021 s
% 1.76/1.96 % Total time : 1.610 s
%------------------------------------------------------------------------------