%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN171-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:47:32 EDT 2024
% Result : Unsatisfiable 1.63s 1.81s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 31
% Syntax : Number of clauses : 68 ( 33 unt; 0 nHn; 55 RR)
% Number of literals : 122 ( 0 equ; 55 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 77 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
~ p4(d,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(axiom_9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
cnf(rule_267,axiom,
( r3(X242,X243,X242)
| ~ p2(X242,X241,X243) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_267) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(axiom_7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
cnf(rule_063,axiom,
( p1(X290,X290,X291)
| ~ n0(d,X290)
| ~ k0(X291) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_063) ).
cnf(c346,plain,
( p1(b,b,X293)
| ~ k0(X293) ),
inference(resolution,[status(thm)],[rule_063,axiom_7]) ).
cnf(c351,plain,
p1(b,b,e),
inference(resolution,[status(thm)],[c346,axiom_28]) ).
cnf(rule_145,axiom,
( p2(e,X557,X558)
| ~ r0(e)
| ~ p1(X557,X558,e) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_145) ).
cnf(c628,plain,
( p2(e,b,b)
| ~ r0(e) ),
inference(resolution,[status(thm)],[rule_145,c351]) ).
cnf(c648,plain,
p2(e,b,b),
inference(resolution,[status(thm)],[c628,axiom_13]) ).
cnf(c649,plain,
r3(e,b,e),
inference(resolution,[status(thm)],[c648,rule_267]) ).
cnf(rule_285,axiom,
( p4(X701,X701,X702)
| ~ r0(X701)
| ~ r3(X702,X701,X702) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_285) ).
cnf(c831,plain,
( p4(b,b,e)
| ~ r0(b) ),
inference(resolution,[status(thm)],[rule_285,c649]) ).
cnf(c867,plain,
p4(b,b,e),
inference(resolution,[status(thm)],[c831,axiom_9]) ).
cnf(rule_288,axiom,
( p4(X933,X932,X932)
| ~ r3(X932,X932,X933)
| ~ p4(X935,X935,X934) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_288) ).
cnf(c1194,plain,
( p4(X947,X948,X948)
| ~ r3(X948,X948,X947) ),
inference(resolution,[status(thm)],[rule_288,c867]) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(rule_002,axiom,
( l1(X15,X15)
| ~ n0(X16,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(c9,plain,
l1(b,b),
inference(resolution,[status(thm)],[rule_002,axiom_7]) ).
cnf(rule_135,axiom,
( m2(X197)
| ~ s0(X197)
| ~ l1(X195,X196) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_135) ).
cnf(c228,plain,
( m2(X198)
| ~ s0(X198) ),
inference(resolution,[status(thm)],[rule_135,c9]) ).
cnf(c234,plain,
m2(d),
inference(resolution,[status(thm)],[c228,axiom_1]) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(rule_188,axiom,
( r2(X140)
| ~ r1(X140)
| ~ l0(X140) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(c172,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[rule_188,axiom_20]) ).
cnf(axiom_36,axiom,
q0(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_36) ).
cnf(axiom_14,axiom,
p0(b,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_092,axiom,
( q1(X416,X413,X416)
| ~ n0(X414,X413)
| ~ p0(X415,X416) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_092) ).
cnf(c449,plain,
( q1(X423,X421,X423)
| ~ n0(X422,X421) ),
inference(resolution,[status(thm)],[rule_092,axiom_14]) ).
cnf(c451,plain,
q1(X427,b,X427),
inference(resolution,[status(thm)],[c449,axiom_7]) ).
cnf(rule_124,axiom,
( r1(X514)
| ~ q0(X514,X515)
| ~ s0(d)
| ~ q1(d,X515,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(c528,plain,
( r1(X527)
| ~ q0(X527,b)
| ~ s0(d) ),
inference(resolution,[status(thm)],[rule_124,c451]) ).
cnf(c546,plain,
( r1(a)
| ~ s0(d) ),
inference(resolution,[status(thm)],[c528,axiom_36]) ).
cnf(c549,plain,
r1(a),
inference(resolution,[status(thm)],[c546,axiom_1]) ).
cnf(c550,plain,
r2(a),
inference(resolution,[status(thm)],[c549,c172]) ).
cnf(rule_235,axiom,
( m3(X625,X625,X626)
| ~ r2(X626)
| ~ k3(X625,X626,X625) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_235) ).
cnf(rule_125,axiom,
( s1(X9)
| ~ p0(X9,X9) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_126,axiom,
( s1(X182)
| ~ q0(X182,X180)
| ~ s1(X181) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(c219,plain,
( s1(X184)
| ~ s1(X183) ),
inference(resolution,[status(thm)],[rule_126,axiom_17]) ).
cnf(c223,plain,
s1(X185),
inference(resolution,[status(thm)],[c219,c8]) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(axiom_19,axiom,
m0(X5,d,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_006,axiom,
( m1(X37,X37,X37)
| ~ m0(X36,X36,X37) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_006) ).
cnf(c49,plain,
m1(X38,X38,X38),
inference(resolution,[status(thm)],[rule_006,axiom_19]) ).
cnf(rule_150,axiom,
( p2(X211,X211,X211)
| ~ m1(X210,X210,X211) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_150) ).
cnf(c248,plain,
p2(X212,X212,X212),
inference(resolution,[status(thm)],[rule_150,c49]) ).
cnf(rule_192,axiom,
( k3(X688,X685,X688)
| ~ s1(X685)
| ~ p2(X686,X685,X687)
| ~ n0(X688,X687) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_192) ).
cnf(c796,plain,
( k3(X689,X690,X689)
| ~ s1(X690)
| ~ n0(X689,X690) ),
inference(resolution,[status(thm)],[rule_192,c248]) ).
cnf(c801,plain,
( k3(b,a,b)
| ~ s1(a) ),
inference(resolution,[status(thm)],[c796,axiom_37]) ).
cnf(c817,plain,
k3(b,a,b),
inference(resolution,[status(thm)],[c801,c223]) ).
cnf(c818,plain,
( m3(b,b,a)
| ~ r2(a) ),
inference(resolution,[status(thm)],[c817,rule_235]) ).
cnf(c826,plain,
m3(b,b,a),
inference(resolution,[status(thm)],[c818,c550]) ).
cnf(rule_007,axiom,
( m1(X45,X46,X45)
| ~ p0(X47,X46)
| ~ r0(X45) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).
cnf(c54,plain,
( m1(X73,X72,X73)
| ~ r0(X73) ),
inference(resolution,[status(thm)],[rule_007,axiom_14]) ).
cnf(c71,plain,
m1(b,X74,b),
inference(resolution,[status(thm)],[c54,axiom_9]) ).
cnf(rule_176,axiom,
( p2(X219,X220,X219)
| ~ m1(X220,X219,X220) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(c258,plain,
p2(X224,b,X224),
inference(resolution,[status(thm)],[rule_176,c71]) ).
cnf(c281,plain,
r3(X244,X244,X244),
inference(resolution,[status(thm)],[rule_267,c258]) ).
cnf(rule_268,axiom,
( r3(X869,X869,X868)
| ~ m2(X868)
| ~ m3(X871,b,X869)
| ~ r3(X868,X870,X870) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_268) ).
cnf(c1101,plain,
( r3(X1313,X1313,X1315)
| ~ m2(X1315)
| ~ m3(X1314,b,X1313) ),
inference(resolution,[status(thm)],[rule_268,c281]) ).
cnf(c1642,plain,
( r3(a,a,X1318)
| ~ m2(X1318) ),
inference(resolution,[status(thm)],[c1101,c826]) ).
cnf(c1650,plain,
r3(a,a,d),
inference(resolution,[status(thm)],[c1642,c234]) ).
cnf(c1652,plain,
p4(d,a,a),
inference(resolution,[status(thm)],[c1650,c1194]) ).
cnf(c1654,plain,
$false,
inference(resolution,[status(thm)],[c1652,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN171-1 : TPTP v8.1.2. Released v1.1.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed May 8 19:58:53 EDT 2024
% 0.11/0.33 % CPUTime :
% 1.63/1.81 % Version: 1.5
% 1.63/1.81 % SZS status Unsatisfiable
% 1.63/1.81 % SZS output start CNFRefutation
% See solution above
% 1.63/1.81
% 1.63/1.81 % Initial clauses : 369
% 1.63/1.81 % Processed clauses : 1010
% 1.63/1.81 % Factors computed : 10
% 1.63/1.81 % Resolvents computed: 1646
% 1.63/1.81 % Tautologies deleted: 15
% 1.63/1.81 % Forward subsumed : 735
% 1.63/1.81 % Backward subsumed : 391
% 1.63/1.81 % -------- CPU Time ---------
% 1.63/1.81 % User time : 1.463 s
% 1.63/1.81 % System time : 0.018 s
% 1.63/1.81 % Total time : 1.481 s
%------------------------------------------------------------------------------