TSTP Solution File: SYN159-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:29:26 EDT 2023
% Result : Unsatisfiable 1.32s 0.65s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 47
% Syntax : Number of clauses : 151 ( 54 unt; 0 nHn; 116 RR)
% Number of literals : 312 ( 0 equ; 164 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 237 ( 81 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_021,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_021) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_28) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_125) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_14) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_20) ).
cnf(rule_088,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_088) ).
cnf(rule_176,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_176) ).
cnf(rule_133,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_133) ).
cnf(rule_082,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_082) ).
cnf(axiom_12,axiom,
m0(a,X1,a),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_12) ).
cnf(rule_155,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_155) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_001) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_26) ).
cnf(axiom_11,axiom,
n0(e,b),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_11) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_19) ).
cnf(rule_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_085) ).
cnf(rule_136,axiom,
( m2(b)
| ~ k1(b) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_136) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_137) ).
cnf(rule_201,axiom,
( k3(X1,X1,X2)
| ~ p1(X2,X3,X1)
| ~ m2(X4)
| ~ m2(X3) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_201) ).
cnf(rule_267,axiom,
( r3(X1,X2,X1)
| ~ p2(X1,X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_267) ).
cnf(rule_316,axiom,
( n5(X1,X1)
| ~ p4(X2,X1,X1)
| ~ s1(X1)
| ~ p4(b,b,X3) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_316) ).
cnf(rule_212,axiom,
( k3(X1,X1,X1)
| ~ m2(X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_212) ).
cnf(rule_246,axiom,
( p3(X1,X1,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_246) ).
cnf(rule_236,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_236) ).
cnf(rule_285,axiom,
( p4(X1,X1,X2)
| ~ r0(X1)
| ~ r3(X2,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_285) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_13) ).
cnf(rule_287,axiom,
( p4(X1,X2,X1)
| ~ k3(X1,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_287) ).
cnf(rule_291,axiom,
( p4(X1,X1,X1)
| ~ p3(X2,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_291) ).
cnf(rule_295,axiom,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1)
| ~ m3(X4,X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_295) ).
cnf(rule_251,axiom,
( p3(X1,X2,X2)
| ~ m3(X2,X3,X4)
| ~ p2(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_251) ).
cnf(rule_100,axiom,
( q1(X1,X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_100) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_37) ).
cnf(rule_288,axiom,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1)
| ~ p4(X3,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_288) ).
cnf(rule_265,axiom,
( r3(X1,X1,X1)
| ~ l2(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_265) ).
cnf(rule_181,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_181) ).
cnf(rule_281,axiom,
( n4(X1,X2)
| ~ p3(X1,X2,X2)
| ~ n4(X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_281) ).
cnf(rule_284,axiom,
( n4(X1,X1)
| ~ k4(X2)
| ~ m3(X1,X1,X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_284) ).
cnf(rule_276,axiom,
( k4(e)
| ~ q3(X1,X1)
| ~ q1(a,a,X2)
| ~ r3(X1,e,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_276) ).
cnf(rule_307,axiom,
( n5(X1,X2)
| ~ q4(X3,X4)
| ~ n4(X1,X4)
| ~ p4(X5,X5,X2)
| ~ n5(X5,X2) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_307) ).
cnf(rule_258,axiom,
( q3(X1,X1)
| ~ r2(X1)
| ~ s1(X2)
| ~ l2(X3,X3) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_258) ).
cnf(rule_124,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_124) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',axiom_1) ).
cnf(rule_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_117) ).
cnf(prove_this,negated_conjecture,
~ n5(a,e),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',prove_this) ).
cnf(rule_188,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
file('/export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p',rule_188) ).
cnf(c_0_47,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
rule_021 ).
cnf(c_0_48,axiom,
k0(e),
axiom_28 ).
cnf(c_0_49,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_50,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_51,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_52,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_53,plain,
( m1(X1,e,X1)
| ~ l0(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,axiom,
l0(a),
axiom_20 ).
cnf(c_0_55,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
s1(b),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,axiom,
( p1(a,a,a)
| ~ l0(a) ),
rule_088 ).
cnf(c_0_58,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
rule_176 ).
cnf(c_0_59,plain,
m1(a,e,a),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
rule_133 ).
cnf(c_0_61,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
rule_082 ).
cnf(c_0_63,plain,
p1(a,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_54])]) ).
cnf(c_0_64,axiom,
m0(a,X1,a),
axiom_12 ).
cnf(c_0_65,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
rule_155 ).
cnf(c_0_66,plain,
p2(e,a,e),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_68,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_69,axiom,
n0(e,b),
axiom_11 ).
cnf(c_0_70,plain,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ m0(X3,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_71,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_72,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_73,plain,
p1(a,X1,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_74,plain,
( p2(a,e,e)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,plain,
k1(c),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,axiom,
( m2(b)
| ~ k1(b) ),
rule_136 ).
cnf(c_0_77,plain,
k1(b),
inference(spm,[status(thm)],[c_0_67,c_0_69]) ).
cnf(c_0_78,plain,
( l2(X1,X1)
| ~ p0(X2,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_80,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_72,c_0_52]) ).
cnf(c_0_81,axiom,
( k3(X1,X1,X2)
| ~ p1(X2,X3,X1)
| ~ m2(X4)
| ~ m2(X3) ),
rule_201 ).
cnf(c_0_82,plain,
p1(X1,X2,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_73]),c_0_64])]) ).
cnf(c_0_83,axiom,
( r3(X1,X2,X1)
| ~ p2(X1,X3,X2) ),
rule_267 ).
cnf(c_0_84,plain,
p2(a,e,e),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_85,axiom,
( n5(X1,X1)
| ~ p4(X2,X1,X1)
| ~ s1(X1)
| ~ p4(b,b,X3) ),
rule_316 ).
cnf(c_0_86,axiom,
( k3(X1,X1,X1)
| ~ m2(X1) ),
rule_212 ).
cnf(c_0_87,plain,
m2(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]) ).
cnf(c_0_88,axiom,
( p3(X1,X1,X1)
| ~ l2(X1,X1) ),
rule_246 ).
cnf(c_0_89,plain,
l2(X1,X1),
inference(spm,[status(thm)],[c_0_78,c_0_52]) ).
cnf(c_0_90,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
rule_236 ).
cnf(c_0_91,plain,
n2(X1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_92,plain,
( k3(a,a,X1)
| ~ m2(X2)
| ~ m2(X3) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_93,axiom,
( p4(X1,X1,X2)
| ~ r0(X1)
| ~ r3(X2,X1,X2) ),
rule_285 ).
cnf(c_0_94,plain,
r3(a,e,a),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_95,axiom,
r0(e),
axiom_13 ).
cnf(c_0_96,plain,
( n5(X1,X1)
| ~ p4(b,b,X2)
| ~ p4(X3,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_61])]) ).
cnf(c_0_97,axiom,
( p4(X1,X2,X1)
| ~ k3(X1,X1,X2) ),
rule_287 ).
cnf(c_0_98,plain,
k3(b,b,b),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_99,axiom,
( p4(X1,X1,X1)
| ~ p3(X2,X2,X1) ),
rule_291 ).
cnf(c_0_100,plain,
p3(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_89])]) ).
cnf(c_0_101,axiom,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1)
| ~ m3(X4,X5,X4) ),
rule_295 ).
cnf(c_0_102,plain,
m3(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).
cnf(c_0_103,plain,
( k3(a,a,X1)
| ~ m2(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_87]) ).
cnf(c_0_104,axiom,
( p3(X1,X2,X2)
| ~ m3(X2,X3,X4)
| ~ p2(X1,X2,X4) ),
rule_251 ).
cnf(c_0_105,axiom,
( q1(X1,X1,X1)
| ~ n0(X2,X1) ),
rule_100 ).
cnf(c_0_106,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_107,axiom,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1)
| ~ p4(X3,X3,X4) ),
rule_288 ).
cnf(c_0_108,plain,
p4(e,e,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_109,plain,
( n5(X1,X1)
| ~ p4(X2,X1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).
cnf(c_0_110,plain,
p4(X1,X1,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_111,axiom,
( r3(X1,X1,X1)
| ~ l2(X2,X1) ),
rule_265 ).
cnf(c_0_112,plain,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_113,plain,
k3(a,a,X1),
inference(spm,[status(thm)],[c_0_103,c_0_87]) ).
cnf(c_0_114,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
rule_181 ).
cnf(c_0_115,axiom,
( n4(X1,X2)
| ~ p3(X1,X2,X2)
| ~ n4(X1,X1) ),
rule_281 ).
cnf(c_0_116,plain,
( p3(X1,X2,X2)
| ~ p2(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_102]) ).
cnf(c_0_117,axiom,
( n4(X1,X1)
| ~ k4(X2)
| ~ m3(X1,X1,X1) ),
rule_284 ).
cnf(c_0_118,axiom,
( k4(e)
| ~ q3(X1,X1)
| ~ q1(a,a,X2)
| ~ r3(X1,e,X2) ),
rule_276 ).
cnf(c_0_119,plain,
q1(a,a,a),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_120,axiom,
( n5(X1,X2)
| ~ q4(X3,X4)
| ~ n4(X1,X4)
| ~ p4(X5,X5,X2)
| ~ n5(X5,X2) ),
rule_307 ).
cnf(c_0_121,plain,
( p4(X1,X2,X2)
| ~ r3(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_122,plain,
n5(X1,X1),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_123,plain,
r3(X1,X1,X1),
inference(spm,[status(thm)],[c_0_111,c_0_89]) ).
cnf(c_0_124,plain,
( q4(X1,X2)
| ~ q2(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_125,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_80])]) ).
cnf(c_0_126,plain,
( n4(X1,X2)
| ~ n4(X1,X1)
| ~ p2(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_127,plain,
( n4(X1,X1)
| ~ k4(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_102])]) ).
cnf(c_0_128,plain,
( k4(e)
| ~ q3(a,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_94]),c_0_119])]) ).
cnf(c_0_129,plain,
( n5(X1,X2)
| ~ q4(X3,X4)
| ~ n4(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]),c_0_123])]) ).
cnf(c_0_130,plain,
q4(X1,X1),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,plain,
( n4(a,e)
| ~ n4(a,a) ),
inference(spm,[status(thm)],[c_0_126,c_0_84]) ).
cnf(c_0_132,plain,
( n4(X1,X1)
| ~ q3(a,a) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,axiom,
( q3(X1,X1)
| ~ r2(X1)
| ~ s1(X2)
| ~ l2(X3,X3) ),
rule_258 ).
cnf(c_0_134,plain,
( n5(X1,X2)
| ~ n4(X1,X3) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( n4(a,e)
| ~ q3(a,a) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_136,plain,
( q3(X1,X1)
| ~ r2(X1)
| ~ l2(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_61])]) ).
cnf(c_0_137,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
rule_124 ).
cnf(c_0_138,axiom,
s0(d),
axiom_1 ).
cnf(c_0_139,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
rule_117 ).
cnf(c_0_140,plain,
( n5(a,X1)
| ~ q3(a,a) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
( q3(X1,X1)
| ~ r2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_89])]) ).
cnf(c_0_142,plain,
( r1(X1)
| ~ q1(d,X2,d)
| ~ q0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).
cnf(c_0_143,plain,
q1(d,d,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_138]),c_0_48])]) ).
cnf(c_0_144,negated_conjecture,
~ n5(a,e),
prove_this ).
cnf(c_0_145,plain,
( n5(a,X1)
| ~ r2(a) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_146,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
rule_188 ).
cnf(c_0_147,plain,
r1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_50]),c_0_143])]) ).
cnf(c_0_148,negated_conjecture,
~ r2(a),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_149,plain,
( r2(X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).
cnf(c_0_150,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN159-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n005.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 : 2400
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Oct 2 18:28:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.50 Running first-order model finding
% 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.JKGvWeiqyk/E---3.1_23613.p
% 1.32/0.65 # Version: 3.1pre001
% 1.32/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.32/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.32/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.32/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.32/0.65 # Starting new_bool_1 with 300s (1) cores
% 1.32/0.65 # Starting sh5l with 300s (1) cores
% 1.32/0.65 # new_bool_3 with pid 23736 completed with status 0
% 1.32/0.65 # Result found by new_bool_3
% 1.32/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.32/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.32/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.32/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.32/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.32/0.65 # Search class: FHUNM-FSLM00-SFFFFFNN
% 1.32/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.32/0.65 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.32/0.65 # SAT001_MinMin_p005000_rr_RG with pid 23748 completed with status 0
% 1.32/0.65 # Result found by SAT001_MinMin_p005000_rr_RG
% 1.32/0.65 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.32/0.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.32/0.65 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.32/0.65 # Starting new_bool_3 with 300s (1) cores
% 1.32/0.65 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.32/0.65 # Search class: FHUNM-FSLM00-SFFFFFNN
% 1.32/0.65 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.32/0.65 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.32/0.65 # Preprocessing time : 0.005 s
% 1.32/0.65 # Presaturation interreduction done
% 1.32/0.65
% 1.32/0.65 # Proof found!
% 1.32/0.65 # SZS status Unsatisfiable
% 1.32/0.65 # SZS output start CNFRefutation
% See solution above
% 1.32/0.65 # Parsed axioms : 369
% 1.32/0.65 # Removed by relevancy pruning/SinE : 26
% 1.32/0.65 # Initial clauses : 343
% 1.32/0.65 # Removed in clause preprocessing : 6
% 1.32/0.65 # Initial clauses in saturation : 337
% 1.32/0.65 # Processed clauses : 1405
% 1.32/0.65 # ...of these trivial : 66
% 1.32/0.65 # ...subsumed : 108
% 1.32/0.65 # ...remaining for further processing : 1231
% 1.32/0.65 # Other redundant clauses eliminated : 0
% 1.32/0.65 # Clauses deleted for lack of memory : 0
% 1.32/0.65 # Backward-subsumed : 84
% 1.32/0.65 # Backward-rewritten : 346
% 1.32/0.65 # Generated clauses : 2081
% 1.32/0.65 # ...of the previous two non-redundant : 1523
% 1.32/0.65 # ...aggressively subsumed : 0
% 1.32/0.65 # Contextual simplify-reflections : 2
% 1.32/0.65 # Paramodulations : 2081
% 1.32/0.65 # Factorizations : 0
% 1.32/0.65 # NegExts : 0
% 1.32/0.65 # Equation resolutions : 0
% 1.32/0.65 # Total rewrite steps : 1444
% 1.32/0.65 # Propositional unsat checks : 0
% 1.32/0.65 # Propositional check models : 0
% 1.32/0.65 # Propositional check unsatisfiable : 0
% 1.32/0.65 # Propositional clauses : 0
% 1.32/0.65 # Propositional clauses after purity: 0
% 1.32/0.65 # Propositional unsat core size : 0
% 1.32/0.65 # Propositional preprocessing time : 0.000
% 1.32/0.65 # Propositional encoding time : 0.000
% 1.32/0.65 # Propositional solver time : 0.000
% 1.32/0.65 # Success case prop preproc time : 0.000
% 1.32/0.65 # Success case prop encoding time : 0.000
% 1.32/0.65 # Success case prop solver time : 0.000
% 1.32/0.65 # Current number of processed clauses : 498
% 1.32/0.65 # Positive orientable unit clauses : 216
% 1.32/0.65 # Positive unorientable unit clauses: 0
% 1.32/0.65 # Negative unit clauses : 2
% 1.32/0.65 # Non-unit-clauses : 280
% 1.32/0.65 # Current number of unprocessed clauses: 335
% 1.32/0.65 # ...number of literals in the above : 1033
% 1.32/0.65 # Current number of archived formulas : 0
% 1.32/0.65 # Current number of archived clauses : 733
% 1.32/0.65 # Clause-clause subsumption calls (NU) : 56938
% 1.32/0.65 # Rec. Clause-clause subsumption calls : 42896
% 1.32/0.65 # Non-unit clause-clause subsumptions : 185
% 1.32/0.65 # Unit Clause-clause subsumption calls : 4445
% 1.32/0.65 # Rewrite failures with RHS unbound : 0
% 1.32/0.65 # BW rewrite match attempts : 797
% 1.32/0.65 # BW rewrite match successes : 218
% 1.32/0.65 # Condensation attempts : 0
% 1.32/0.65 # Condensation successes : 0
% 1.32/0.65 # Termbank termtop insertions : 31232
% 1.32/0.65
% 1.32/0.65 # -------------------------------------------------
% 1.32/0.65 # User time : 0.103 s
% 1.32/0.65 # System time : 0.006 s
% 1.32/0.65 # Total time : 0.109 s
% 1.32/0.65 # Maximum resident set size: 2496 pages
% 1.32/0.65
% 1.32/0.65 # -------------------------------------------------
% 1.32/0.65 # User time : 0.109 s
% 1.32/0.65 # System time : 0.009 s
% 1.32/0.65 # Total time : 0.117 s
% 1.32/0.65 # Maximum resident set size: 2000 pages
% 1.32/0.65 % E---3.1 exiting
%------------------------------------------------------------------------------