TSTP Solution File: SYN254-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN254-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 01:50:47 EDT 2023
% Result : Unsatisfiable 0.22s 0.68s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 79
% Syntax : Number of formulae : 133 ( 36 unt; 53 typ; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 167 ( 86 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 117 ( 39 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_085,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(rule_126,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).
cnf(axiom_17,axiom,
q0(X1,d),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).
cnf(rule_125,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).
cnf(rule_181,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_181) ).
cnf(rule_273,axiom,
( s3(X1,X2)
| ~ q2(X3,X1,X3)
| ~ s2(X1)
| ~ m0(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_273) ).
cnf(rule_133,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(axiom_19,axiom,
m0(X1,d,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
cnf(rule_063,axiom,
( p1(X1,X1,X2)
| ~ n0(d,X1)
| ~ k0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_063) ).
cnf(axiom_7,axiom,
n0(d,b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).
cnf(rule_279,axiom,
( m4(X1,X2)
| ~ l2(X3,X2)
| ~ s3(a,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_279) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(rule_082,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_082) ).
cnf(axiom_31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_31) ).
cnf(rule_050,axiom,
( n1(X1,X2,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_050) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(prove_this,negated_conjecture,
~ m4(e,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(rule_189,axiom,
( s2(X1)
| ~ q2(b,X1,b)
| ~ s1(b) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_189) ).
cnf(rule_182,axiom,
( q2(X1,X2,X1)
| ~ p1(X1,X1,X3)
| ~ n1(X2,X1,X3)
| ~ q2(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_182) ).
cnf(rule_177,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).
cnf(axiom_20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
cnf(axiom_32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).
cnf(rule_054,axiom,
( n1(X1,X2,X2)
| ~ l0(X3)
| ~ l1(X3,X1)
| ~ n1(X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_054) ).
cnf(rule_002,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
cnf(axiom_37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).
cnf(c_0_26,axiom,
( p1(X1,X1,X1)
| ~ p0(X2,X1) ),
rule_085 ).
cnf(c_0_27,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_28,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_29,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_30,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_31,axiom,
( q2(X1,X1,X1)
| ~ p1(X1,X1,X1) ),
rule_181 ).
cnf(c_0_32,plain,
p1(X1,X1,X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,plain,
s1(b),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_35,axiom,
( s3(X1,X2)
| ~ q2(X3,X1,X3)
| ~ s2(X1)
| ~ m0(X3,X4,X2) ),
rule_273 ).
cnf(c_0_36,plain,
q2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_37,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
rule_133 ).
cnf(c_0_38,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( s3(X1,X2)
| ~ s2(X1)
| ~ m0(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_41,plain,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ m0(X3,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_42,axiom,
( p1(X1,X1,X2)
| ~ n0(d,X1)
| ~ k0(X2) ),
rule_063 ).
cnf(c_0_43,axiom,
n0(d,b),
axiom_7 ).
cnf(c_0_44,axiom,
( m4(X1,X2)
| ~ l2(X3,X2)
| ~ s3(a,X1) ),
rule_279 ).
cnf(c_0_45,plain,
( s3(X1,X2)
| ~ s2(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( l2(X1,X1)
| ~ p0(X2,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_47,plain,
( p1(b,b,X1)
| ~ k0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,axiom,
k0(e),
axiom_28 ).
cnf(c_0_49,plain,
( m4(X1,X2)
| ~ s2(a)
| ~ l2(X3,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
l2(X1,X1),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
cnf(c_0_51,axiom,
( p1(X1,X2,X3)
| ~ m0(X3,X1,X4)
| ~ p1(X3,X1,X4) ),
rule_082 ).
cnf(c_0_52,plain,
p1(b,b,e),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,axiom,
m0(b,b,e),
axiom_31 ).
cnf(c_0_54,axiom,
( n1(X1,X2,X1)
| ~ s0(b)
| ~ l0(X1)
| ~ p0(b,X2) ),
rule_050 ).
cnf(c_0_55,axiom,
s0(b),
axiom_5 ).
cnf(c_0_56,negated_conjecture,
~ m4(e,b),
prove_this ).
cnf(c_0_57,plain,
( m4(X1,X2)
| ~ s2(a) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,axiom,
( s2(X1)
| ~ q2(b,X1,b)
| ~ s1(b) ),
rule_189 ).
cnf(c_0_59,axiom,
( q2(X1,X2,X1)
| ~ p1(X1,X1,X3)
| ~ n1(X2,X1,X3)
| ~ q2(X2,X3,X1) ),
rule_182 ).
cnf(c_0_60,plain,
p1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_61,axiom,
( q2(X1,X2,X2)
| ~ k0(X2)
| ~ p1(X1,X1,X1) ),
rule_177 ).
cnf(c_0_62,plain,
( n1(X1,X2,X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_27])]) ).
cnf(c_0_63,axiom,
l0(a),
axiom_20 ).
cnf(c_0_64,negated_conjecture,
~ s2(a),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( s2(X1)
| ~ q2(b,X1,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_34])]) ).
cnf(c_0_66,plain,
( q2(b,X1,b)
| ~ q2(X1,b,b)
| ~ n1(X1,b,b) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
( q2(X1,X2,X2)
| ~ k0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_32])]) ).
cnf(c_0_68,axiom,
k0(b),
axiom_32 ).
cnf(c_0_69,axiom,
( n1(X1,X2,X2)
| ~ l0(X3)
| ~ l1(X3,X1)
| ~ n1(X1,X2,X1) ),
rule_054 ).
cnf(c_0_70,plain,
n1(a,X1,a),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,axiom,
( l1(X1,X1)
| ~ n0(X2,X1) ),
rule_002 ).
cnf(c_0_72,axiom,
n0(b,a),
axiom_37 ).
cnf(c_0_73,negated_conjecture,
~ q2(b,a,b),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
( q2(b,X1,b)
| ~ n1(X1,b,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_75,plain,
( n1(a,X1,X1)
| ~ l1(X2,a)
| ~ l0(X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,plain,
l1(a,a),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
~ n1(a,b,b),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
n1(a,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_63])]) ).
cnf(c_0_79,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN254-1 : TPTP v8.1.2. Released v1.1.0.
% 0.15/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 21:09:12 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 0.22/0.68 % Version : CSE_E---1.5
% 0.22/0.68 % Problem : theBenchmark.p
% 0.22/0.68 % Proof found
% 0.22/0.68 % SZS status Theorem for theBenchmark.p
% 0.22/0.68 % SZS output start Proof
% See solution above
% 0.22/0.68 % Total time : 0.083000 s
% 0.22/0.68 % SZS output end Proof
% 0.22/0.68 % Total time : 0.089000 s
%------------------------------------------------------------------------------