TSTP Solution File: SYN193-10 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN193-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 01:50:31 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 67
% Syntax : Number of formulae : 89 ( 34 unt; 55 typ; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 94 ( 49 >; 45 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 6 con; 0-4 aty)
% Number of variables : 55 ( 25 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
ifeq: ( $i * $i * $i * $i ) > $i ).
tff(decl_23,type,
d: $i ).
tff(decl_24,type,
s0: $i > $i ).
tff(decl_25,type,
true: $i ).
tff(decl_26,type,
e: $i ).
tff(decl_27,type,
q0: ( $i * $i ) > $i ).
tff(decl_28,type,
n0: ( $i * $i ) > $i ).
tff(decl_29,type,
a: $i ).
tff(decl_30,type,
m0: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
b: $i ).
tff(decl_32,type,
r0: $i > $i ).
tff(decl_33,type,
p0: ( $i * $i ) > $i ).
tff(decl_34,type,
c: $i ).
tff(decl_35,type,
l0: $i > $i ).
tff(decl_36,type,
k0: $i > $i ).
tff(decl_37,type,
k1: $i > $i ).
tff(decl_38,type,
l1: ( $i * $i ) > $i ).
tff(decl_39,type,
m1: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
n1: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
p1: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
q1: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
r1: $i > $i ).
tff(decl_44,type,
s1: $i > $i ).
tff(decl_45,type,
k2: ( $i * $i ) > $i ).
tff(decl_46,type,
l2: ( $i * $i ) > $i ).
tff(decl_47,type,
m2: $i > $i ).
tff(decl_48,type,
n2: $i > $i ).
tff(decl_49,type,
p2: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
q2: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
r2: $i > $i ).
tff(decl_52,type,
s2: $i > $i ).
tff(decl_53,type,
k3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
l3: ( $i * $i ) > $i ).
tff(decl_55,type,
m3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
n3: $i > $i ).
tff(decl_57,type,
p3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
q3: ( $i * $i ) > $i ).
tff(decl_59,type,
r3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
s3: ( $i * $i ) > $i ).
tff(decl_61,type,
k4: $i > $i ).
tff(decl_62,type,
l4: $i > $i ).
tff(decl_63,type,
m4: ( $i * $i ) > $i ).
tff(decl_64,type,
n4: ( $i * $i ) > $i ).
tff(decl_65,type,
p4: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
q4: ( $i * $i ) > $i ).
tff(decl_67,type,
r4: $i > $i ).
tff(decl_68,type,
s4: $i > $i ).
tff(decl_69,type,
k5: $i > $i ).
tff(decl_70,type,
l5: $i > $i ).
tff(decl_71,type,
m5: ( $i * $i ) > $i ).
tff(decl_72,type,
n5: ( $i * $i ) > $i ).
tff(decl_73,type,
p5: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
q5: ( $i * $i ) > $i ).
tff(decl_75,type,
r5: ( $i * $i ) > $i ).
tff(decl_76,type,
s5: $i > $i ).
cnf(rule_029,axiom,
ifeq(p0(X1,X2),true,ifeq(s0(X1),true,m1(X1,X2,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_029) ).
cnf(axiom_5,axiom,
s0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(axiom_14,axiom,
p0(b,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
cnf(ifeq_axiom,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(rule_176,axiom,
ifeq(m1(X1,X2,X1),true,p2(X2,X1,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_176) ).
cnf(rule_240,axiom,
ifeq(p2(X1,X2,X3),true,n3(X3),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
cnf(rule_002,axiom,
ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).
cnf(axiom_30,axiom,
n0(e,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
cnf(rule_298,axiom,
ifeq(q3(X1,X2),true,ifeq(n3(X3),true,ifeq(p0(X4,X3),true,r4(X3),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
cnf(rule_186,axiom,
ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
cnf(rule_255,axiom,
ifeq(q2(X1,X2,X3),true,ifeq(n0(X1,X2),true,q3(X2,X3),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
cnf(prove_this,negated_conjecture,
r4(b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_12,axiom,
ifeq(p0(X1,X2),true,ifeq(s0(X1),true,m1(X1,X2,X1),true),true) = true,
rule_029 ).
cnf(c_0_13,axiom,
s0(b) = true,
axiom_5 ).
cnf(c_0_14,axiom,
p0(b,X1) = true,
axiom_14 ).
cnf(c_0_15,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_16,axiom,
ifeq(m1(X1,X2,X1),true,p2(X2,X1,X2),true) = true,
rule_176 ).
cnf(c_0_17,plain,
m1(b,X1,b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_15]) ).
cnf(c_0_18,axiom,
ifeq(p2(X1,X2,X3),true,n3(X3),true) = true,
rule_240 ).
cnf(c_0_19,plain,
p2(X1,b,X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).
cnf(c_0_20,axiom,
ifeq(n0(X1,X2),true,l1(X2,X2),true) = true,
rule_002 ).
cnf(c_0_21,axiom,
n0(e,e) = true,
axiom_30 ).
cnf(c_0_22,axiom,
ifeq(q3(X1,X2),true,ifeq(n3(X3),true,ifeq(p0(X4,X3),true,r4(X3),true),true),true) = true,
rule_298 ).
cnf(c_0_23,plain,
n3(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).
cnf(c_0_24,axiom,
ifeq(l1(X1,X2),true,q2(X2,X2,X1),true) = true,
rule_186 ).
cnf(c_0_25,plain,
l1(e,e) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).
cnf(c_0_26,plain,
ifeq(q3(X1,X2),true,ifeq(p0(X3,X4),true,r4(X4),true),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_15]) ).
cnf(c_0_27,axiom,
ifeq(q2(X1,X2,X3),true,ifeq(n0(X1,X2),true,q3(X2,X3),true),true) = true,
rule_255 ).
cnf(c_0_28,plain,
q2(e,e,e) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_15]) ).
cnf(c_0_29,plain,
ifeq(q3(X1,X2),true,r4(X3),true) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_14]),c_0_15]) ).
cnf(c_0_30,plain,
q3(e,e) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_21]),c_0_15]),c_0_15]) ).
cnf(c_0_31,negated_conjecture,
r4(b) != true,
prove_this ).
cnf(c_0_32,plain,
r4(X1) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_15]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN193-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n012.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 17:54:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.63 % Version : CSE_E---1.5
% 0.20/0.63 % Problem : theBenchmark.p
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark.p
% 0.20/0.63 % SZS output start Proof
% See solution above
% 0.20/0.64 % Total time : 0.052000 s
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time : 0.061000 s
%------------------------------------------------------------------------------