TSTP Solution File: SYN129-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN129-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 : Fri Sep 1 01:50:13 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 87
% Syntax : Number of formulae : 161 ( 51 unt; 53 typ; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 190 ( 96 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 48 >; 42 *; 0 +; 0 <<)
% Number of predicates : 49 ( 48 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 154 ( 51 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
d: $i ).
tff(decl_23,type,
s0: $i > $o ).
tff(decl_24,type,
e: $i ).
tff(decl_25,type,
q0: ( $i * $i ) > $o ).
tff(decl_26,type,
n0: ( $i * $i ) > $o ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
m0: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
b: $i ).
tff(decl_30,type,
r0: $i > $o ).
tff(decl_31,type,
p0: ( $i * $i ) > $o ).
tff(decl_32,type,
c: $i ).
tff(decl_33,type,
l0: $i > $o ).
tff(decl_34,type,
k0: $i > $o ).
tff(decl_35,type,
k1: $i > $o ).
tff(decl_36,type,
l1: ( $i * $i ) > $o ).
tff(decl_37,type,
m1: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
n1: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
p1: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
q1: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
r1: $i > $o ).
tff(decl_42,type,
s1: $i > $o ).
tff(decl_43,type,
k2: ( $i * $i ) > $o ).
tff(decl_44,type,
l2: ( $i * $i ) > $o ).
tff(decl_45,type,
m2: $i > $o ).
tff(decl_46,type,
n2: $i > $o ).
tff(decl_47,type,
p2: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
q2: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
r2: $i > $o ).
tff(decl_50,type,
s2: $i > $o ).
tff(decl_51,type,
k3: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
l3: ( $i * $i ) > $o ).
tff(decl_53,type,
m3: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
n3: $i > $o ).
tff(decl_55,type,
p3: ( $i * $i * $i ) > $o ).
tff(decl_56,type,
q3: ( $i * $i ) > $o ).
tff(decl_57,type,
r3: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
s3: ( $i * $i ) > $o ).
tff(decl_59,type,
k4: $i > $o ).
tff(decl_60,type,
l4: $i > $o ).
tff(decl_61,type,
m4: ( $i * $i ) > $o ).
tff(decl_62,type,
n4: ( $i * $i ) > $o ).
tff(decl_63,type,
p4: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
q4: ( $i * $i ) > $o ).
tff(decl_65,type,
r4: $i > $o ).
tff(decl_66,type,
s4: $i > $o ).
tff(decl_67,type,
k5: $i > $o ).
tff(decl_68,type,
l5: $i > $o ).
tff(decl_69,type,
m5: ( $i * $i ) > $o ).
tff(decl_70,type,
n5: ( $i * $i ) > $o ).
tff(decl_71,type,
p5: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
q5: ( $i * $i ) > $o ).
tff(decl_73,type,
r5: ( $i * $i ) > $o ).
tff(decl_74,type,
s5: $i > $o ).
cnf(rule_021,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_021) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(axiom_24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_176,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(rule_007,axiom,
( m1(X1,X2,X1)
| ~ p0(X3,X2)
| ~ r0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).
cnf(rule_155,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(rule_107,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_107) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_192,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_192) ).
cnf(rule_029,axiom,
( m1(X1,X2,X1)
| ~ p0(X1,X2)
| ~ s0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_029) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(rule_127,axiom,
( k2(X1,X2)
| ~ m1(X3,X2,X1)
| ~ k1(X4)
| ~ k2(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
cnf(rule_129,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
cnf(rule_005,axiom,
( m1(X1,X2,X1)
| ~ m0(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_005) ).
cnf(axiom_30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
cnf(axiom_3,axiom,
n0(d,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
cnf(axiom_11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_11) ).
cnf(axiom_34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_34) ).
cnf(rule_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(rule_202,axiom,
( k3(X1,X1,X2)
| ~ q0(X3,X2)
| ~ k2(X1,X4)
| ~ k3(X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_202) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(rule_236,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_236) ).
cnf(rule_295,axiom,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1)
| ~ m3(X4,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_295) ).
cnf(axiom_21,axiom,
q0(b,e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_21) ).
cnf(rule_177,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_177) ).
cnf(rule_302,axiom,
( l5(X1)
| ~ q4(X2,X2)
| ~ k1(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_302) ).
cnf(prove_this,negated_conjecture,
~ l5(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_34,axiom,
( m1(X1,X2,X1)
| ~ l0(X1)
| ~ k0(X2) ),
rule_021 ).
cnf(c_0_35,axiom,
k0(e),
axiom_28 ).
cnf(c_0_36,plain,
( m1(X1,e,X1)
| ~ l0(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,axiom,
l0(c),
axiom_24 ).
cnf(c_0_38,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_39,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_40,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_41,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_42,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
rule_176 ).
cnf(c_0_43,plain,
m1(c,e,c),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,axiom,
( m1(X1,X2,X1)
| ~ p0(X3,X2)
| ~ r0(X1) ),
rule_007 ).
cnf(c_0_45,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,plain,
s1(b),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
rule_155 ).
cnf(c_0_48,plain,
p2(e,c,e),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_50,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_51,plain,
( m1(X1,X2,X1)
| ~ r0(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_52,axiom,
r0(e),
axiom_13 ).
cnf(c_0_53,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_54,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_55,axiom,
( k3(X1,X2,X1)
| ~ s1(X2)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
rule_192 ).
cnf(c_0_56,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_57,plain,
( p2(c,e,e)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,plain,
k1(c),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,axiom,
( m1(X1,X2,X1)
| ~ p0(X1,X2)
| ~ s0(X1) ),
rule_029 ).
cnf(c_0_60,axiom,
s0(b),
axiom_5 ).
cnf(c_0_61,axiom,
( k2(X1,X2)
| ~ m1(X3,X2,X1)
| ~ k1(X4)
| ~ k2(X4,X2) ),
rule_127 ).
cnf(c_0_62,plain,
m1(e,X1,e),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,axiom,
( k2(X1,X1)
| ~ q1(X2,X1,X1) ),
rule_129 ).
cnf(c_0_64,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54])]) ).
cnf(c_0_65,plain,
( k3(X1,X2,X1)
| ~ p2(X3,X2,X4)
| ~ n0(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_66,plain,
p2(c,e,e),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,axiom,
( m1(X1,X2,X1)
| ~ m0(X2,X2,X1) ),
rule_005 ).
cnf(c_0_68,plain,
m1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_41]),c_0_60])]) ).
cnf(c_0_69,plain,
( k2(e,X1)
| ~ k2(X2,X1)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
k2(X1,X1),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,axiom,
n0(e,e),
axiom_30 ).
cnf(c_0_72,plain,
( k3(X1,e,X1)
| ~ n0(X1,e) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,axiom,
n0(d,e),
axiom_3 ).
cnf(c_0_74,plain,
m1(X1,d,X1),
inference(spm,[status(thm)],[c_0_67,c_0_54]) ).
cnf(c_0_75,plain,
( k2(b,X1)
| ~ k2(X2,X1)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_68]) ).
cnf(c_0_76,plain,
( k2(e,X1)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
k1(e),
inference(spm,[status(thm)],[c_0_49,c_0_71]) ).
cnf(c_0_78,axiom,
n0(e,b),
axiom_11 ).
cnf(c_0_79,axiom,
n0(c,d),
axiom_34 ).
cnf(c_0_80,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_81,axiom,
( k3(X1,X1,X2)
| ~ q0(X3,X2)
| ~ k2(X1,X4)
| ~ k3(X2,X5,X4) ),
rule_202 ).
cnf(c_0_82,plain,
k3(d,e,d),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,plain,
( k2(X1,d)
| ~ k2(X2,d)
| ~ k1(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
cnf(c_0_84,plain,
( k2(b,X1)
| ~ k1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_85,plain,
k1(b),
inference(spm,[status(thm)],[c_0_49,c_0_78]) ).
cnf(c_0_86,plain,
k1(d),
inference(spm,[status(thm)],[c_0_49,c_0_79]) ).
cnf(c_0_87,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_88,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_80,c_0_41]) ).
cnf(c_0_89,plain,
( k3(X1,X1,d)
| ~ k2(X1,d) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_39])]) ).
cnf(c_0_90,plain,
k2(X1,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]),c_0_86])]) ).
cnf(c_0_91,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
rule_236 ).
cnf(c_0_92,plain,
n2(X1),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
k3(X1,X1,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_94,axiom,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1)
| ~ m3(X4,X5,X4) ),
rule_295 ).
cnf(c_0_95,plain,
m3(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_96,plain,
( k3(X1,X1,X2)
| ~ q0(X3,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_93]),c_0_90])]) ).
cnf(c_0_97,axiom,
q0(b,e),
axiom_21 ).
cnf(c_0_98,plain,
( q4(X1,X2)
| ~ k3(X3,X3,X1)
| ~ q2(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,plain,
k3(X1,X1,e),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
rule_177 ).
cnf(c_0_101,plain,
( q4(e,X1)
| ~ q2(X2,X1,e) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_102,plain,
( q2(X1,X2,X2)
| ~ k0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_88])]) ).
cnf(c_0_103,axiom,
( l5(X1)
| ~ q4(X2,X2)
| ~ k1(X1) ),
rule_302 ).
cnf(c_0_104,plain,
q4(e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_35])]) ).
cnf(c_0_105,negated_conjecture,
~ l5(e),
prove_this ).
cnf(c_0_106,plain,
( l5(X1)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN129-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 19:33:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.66 % Version : CSE_E---1.5
% 0.21/0.66 % Problem : theBenchmark.p
% 0.21/0.66 % Proof found
% 0.21/0.66 % SZS status Theorem for theBenchmark.p
% 0.21/0.66 % SZS output start Proof
% See solution above
% 0.21/0.67 % Total time : 0.074000 s
% 0.21/0.67 % SZS output end Proof
% 0.21/0.67 % Total time : 0.082000 s
%------------------------------------------------------------------------------