TSTP Solution File: SYN214-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN214-1 : 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 : 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 : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:50:37 EDT 2023
% Result : Unsatisfiable 0.19s 0.64s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 76
% Syntax : Number of formulae : 127 ( 30 unt; 53 typ; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 156 ( 79 ~; 77 |; 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 : 110 ( 53 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_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_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_154,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_154) ).
cnf(rule_133,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).
cnf(rule_165,axiom,
( p2(X1,X1,X1)
| ~ q1(X2,X3,X2)
| ~ p2(X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_165) ).
cnf(axiom_27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_27) ).
cnf(rule_240,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_240) ).
cnf(rule_258,axiom,
( q3(X1,X1)
| ~ r2(X1)
| ~ s1(X2)
| ~ l2(X3,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_258) ).
cnf(rule_298,axiom,
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_298) ).
cnf(rule_124,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_124) ).
cnf(axiom_1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
cnf(rule_117,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_117) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(rule_277,axiom,
( l4(X1)
| ~ p3(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_277) ).
cnf(rule_246,axiom,
( p3(X1,X1,X1)
| ~ l2(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_246) ).
cnf(rule_188,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_188) ).
cnf(rule_329,axiom,
( s5(X1)
| ~ l4(X1)
| ~ r4(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_329) ).
cnf(axiom_24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).
cnf(prove_this,negated_conjecture,
~ s5(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_23,axiom,
( s1(X1)
| ~ q0(X1,X2)
| ~ s1(X3) ),
rule_126 ).
cnf(c_0_24,axiom,
q0(X1,d),
axiom_17 ).
cnf(c_0_25,axiom,
( s1(X1)
| ~ p0(X1,X1) ),
rule_125 ).
cnf(c_0_26,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_27,axiom,
( q1(e,X1,X1)
| ~ m0(X1,d,X1)
| ~ m0(e,d,X1) ),
rule_107 ).
cnf(c_0_28,axiom,
m0(X1,d,X2),
axiom_19 ).
cnf(c_0_29,plain,
( s1(X1)
| ~ s1(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
s1(b),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,axiom,
( p2(X1,X1,X1)
| ~ q1(X1,X1,X1) ),
rule_154 ).
cnf(c_0_32,plain,
q1(e,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28])]) ).
cnf(c_0_33,axiom,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ s1(X3)
| ~ m0(X4,X3,X1) ),
rule_133 ).
cnf(c_0_34,plain,
s1(X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,axiom,
( p2(X1,X1,X1)
| ~ q1(X2,X3,X2)
| ~ p2(X2,X2,X3) ),
rule_165 ).
cnf(c_0_36,plain,
p2(e,e,e),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( l2(X1,X1)
| ~ p0(X2,X2)
| ~ m0(X3,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_38,axiom,
m0(e,b,c),
axiom_27 ).
cnf(c_0_39,axiom,
( n3(X1)
| ~ p2(X2,X3,X1) ),
rule_240 ).
cnf(c_0_40,plain,
p2(X1,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_36])]) ).
cnf(c_0_41,axiom,
( q3(X1,X1)
| ~ r2(X1)
| ~ s1(X2)
| ~ l2(X3,X3) ),
rule_258 ).
cnf(c_0_42,plain,
( l2(c,c)
| ~ p0(X1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,axiom,
( r4(X1)
| ~ n3(X1)
| ~ q3(X2,X3)
| ~ p0(X4,X1) ),
rule_298 ).
cnf(c_0_44,plain,
n3(X1),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( q3(X1,X1)
| ~ r2(X1)
| ~ l2(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_34])]) ).
cnf(c_0_46,plain,
l2(c,c),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_47,axiom,
( r1(X1)
| ~ q0(X1,X2)
| ~ s0(d)
| ~ q1(d,X2,d) ),
rule_124 ).
cnf(c_0_48,axiom,
s0(d),
axiom_1 ).
cnf(c_0_49,axiom,
( q1(d,d,d)
| ~ k0(e)
| ~ s0(d) ),
rule_117 ).
cnf(c_0_50,axiom,
k0(e),
axiom_28 ).
cnf(c_0_51,plain,
( r4(X1)
| ~ q3(X2,X3)
| ~ p0(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_52,plain,
( q3(X1,X1)
| ~ r2(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( r1(X1)
| ~ q1(d,X2,d)
| ~ q0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_54,plain,
q1(d,d,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_48]),c_0_50])]) ).
cnf(c_0_55,axiom,
( l4(X1)
| ~ p3(X2,X3,X1) ),
rule_277 ).
cnf(c_0_56,axiom,
( p3(X1,X1,X1)
| ~ l2(X1,X1) ),
rule_246 ).
cnf(c_0_57,plain,
( l2(X1,X1)
| ~ p0(X2,X2) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_58,plain,
( r4(X1)
| ~ r2(X2)
| ~ p0(X3,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,axiom,
( r2(X1)
| ~ r1(X1)
| ~ l0(X1) ),
rule_188 ).
cnf(c_0_60,plain,
r1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_24]),c_0_54])]) ).
cnf(c_0_61,plain,
( l4(X1)
| ~ l2(X1,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
l2(X1,X1),
inference(spm,[status(thm)],[c_0_57,c_0_26]) ).
cnf(c_0_63,plain,
( r4(X1)
| ~ r2(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_26]) ).
cnf(c_0_64,plain,
( r2(X1)
| ~ l0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]) ).
cnf(c_0_65,axiom,
( s5(X1)
| ~ l4(X1)
| ~ r4(X2) ),
rule_329 ).
cnf(c_0_66,plain,
l4(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_67,plain,
( r4(X1)
| ~ l0(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,axiom,
l0(c),
axiom_24 ).
cnf(c_0_69,plain,
( s5(X1)
| ~ r4(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).
cnf(c_0_70,plain,
r4(X1),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
~ s5(c),
prove_this ).
cnf(c_0_72,plain,
s5(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN214-1 : 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
% 0.13/0.34 % Computer : n005.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 : Sat Aug 26 17:08:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.64 % Version : CSE_E---1.5
% 0.19/0.64 % Problem : theBenchmark.p
% 0.19/0.64 % Proof found
% 0.19/0.64 % SZS status Theorem for theBenchmark.p
% 0.19/0.64 % SZS output start Proof
% See solution above
% 0.19/0.65 % Total time : 0.084000 s
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time : 0.092000 s
%------------------------------------------------------------------------------