TSTP Solution File: SYN266-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN266-1 : 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 : n024.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 01:50:50 EDT 2023
% Result : Unsatisfiable 0.21s 0.65s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 67
% Syntax : Number of formulae : 91 ( 20 unt; 53 typ; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 40 ( 14 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_090,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).
cnf(axiom_13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).
cnf(axiom_28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).
cnf(rule_029,axiom,
( m1(X1,X2,X1)
| ~ p0(X1,X2)
| ~ s0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_029) ).
cnf(axiom_14,axiom,
p0(b,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
cnf(axiom_5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_5) ).
cnf(rule_137,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
cnf(rule_176,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
cnf(rule_236,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
cnf(rule_155,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).
cnf(rule_001,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
cnf(axiom_26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
cnf(rule_251,axiom,
( p3(X1,X2,X2)
| ~ m3(X2,X3,X4)
| ~ p2(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).
cnf(prove_this,negated_conjecture,
~ p3(b,e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c_0_14,axiom,
( p1(e,e,e)
| ~ r0(e)
| ~ k0(e) ),
rule_090 ).
cnf(c_0_15,axiom,
r0(e),
axiom_13 ).
cnf(c_0_16,axiom,
k0(e),
axiom_28 ).
cnf(c_0_17,axiom,
( m1(X1,X2,X1)
| ~ p0(X1,X2)
| ~ s0(X1) ),
rule_029 ).
cnf(c_0_18,axiom,
p0(b,X1),
axiom_14 ).
cnf(c_0_19,axiom,
s0(b),
axiom_5 ).
cnf(c_0_20,axiom,
( n2(X1)
| ~ p1(X2,X3,X1) ),
rule_137 ).
cnf(c_0_21,plain,
p1(e,e,e),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_22,axiom,
( p2(X1,X2,X1)
| ~ m1(X2,X1,X2) ),
rule_176 ).
cnf(c_0_23,plain,
m1(b,X1,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,axiom,
( m3(X1,X1,X1)
| ~ n2(X1) ),
rule_236 ).
cnf(c_0_25,plain,
n2(e),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,axiom,
( p2(X1,X2,X2)
| ~ k1(X3)
| ~ p2(e,X1,X2) ),
rule_155 ).
cnf(c_0_27,plain,
p2(X1,b,X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,axiom,
( k1(X1)
| ~ n0(X2,X1) ),
rule_001 ).
cnf(c_0_29,axiom,
n0(d,c),
axiom_26 ).
cnf(c_0_30,axiom,
( p3(X1,X2,X2)
| ~ m3(X2,X3,X4)
| ~ p2(X1,X2,X4) ),
rule_251 ).
cnf(c_0_31,plain,
m3(e,e,e),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( p2(b,e,e)
| ~ k1(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
k1(c),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
~ p3(b,e,e),
prove_this ).
cnf(c_0_35,plain,
( p3(X1,e,e)
| ~ p2(X1,e,e) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
p2(b,e,e),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN266-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n024.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 20:07:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.65 % Version : CSE_E---1.5
% 0.21/0.65 % Problem : theBenchmark.p
% 0.21/0.65 % Proof found
% 0.21/0.65 % SZS status Theorem for theBenchmark.p
% 0.21/0.65 % SZS output start Proof
% See solution above
% 0.21/0.65 % Total time : 0.063000 s
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time : 0.068000 s
%------------------------------------------------------------------------------