TSTP Solution File: SYN640-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN640-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 01:53:35 EDT 2023
% Result : Unsatisfiable 1.19s 1.27s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 36
% Syntax : Number of formulae : 58 ( 19 unt; 24 typ; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 20 >; 10 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c22: $i ).
tff(decl_23,type,
p18: $i > $o ).
tff(decl_24,type,
p10: ( $i * $i ) > $o ).
tff(decl_25,type,
p4: ( $i * $i ) > $o ).
tff(decl_26,type,
p3: ( $i * $i ) > $o ).
tff(decl_27,type,
p2: ( $i * $i ) > $o ).
tff(decl_28,type,
p16: ( $i * $i ) > $o ).
tff(decl_29,type,
c25: $i ).
tff(decl_30,type,
f17: $i > $i ).
tff(decl_31,type,
p20: ( $i * $i ) > $o ).
tff(decl_32,type,
c23: $i ).
tff(decl_33,type,
f11: $i > $i ).
tff(decl_34,type,
f12: $i > $i ).
tff(decl_35,type,
c24: $i ).
tff(decl_36,type,
f7: $i > $i ).
tff(decl_37,type,
f13: $i > $i ).
tff(decl_38,type,
p19: ( $i * $i ) > $o ).
tff(decl_39,type,
f15: $i > $i ).
tff(decl_40,type,
f14: $i > $i ).
tff(decl_41,type,
f8: $i > $i ).
tff(decl_42,type,
f9: $i > $i ).
tff(decl_43,type,
p21: ( $i * $i ) > $o ).
tff(decl_44,type,
f5: ( $i * $i ) > $i ).
tff(decl_45,type,
f6: ( $i * $i ) > $i ).
cnf(p2_26,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
cnf(p2_18,negated_conjecture,
( p2(f13(X1),f13(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(p2_33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_33) ).
cnf(p19_28,negated_conjecture,
( p19(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p19(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
cnf(p19_12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_12) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(p20_35,negated_conjecture,
( p20(f17(X1),f17(X2))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p19(f13(f11(X1)),f13(f11(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_35) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(not_p20_7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p20_7) ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_26 ).
cnf(c_0_13,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_14,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_34 ).
cnf(c_0_16,negated_conjecture,
( p2(f13(X1),f13(X2))
| ~ p4(X1,X2) ),
p2_18 ).
cnf(c_0_17,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p2(X1,f13(X2))
| ~ p2(f13(X3),X1)
| ~ p4(X3,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_33 ).
cnf(c_0_20,negated_conjecture,
( p19(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p19(X3,X4) ),
p19_28 ).
cnf(c_0_21,negated_conjecture,
( p2(X1,f13(f11(c25)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(X1))
| ~ p4(f11(c23),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p19(X1,X2)
| ~ p19(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_24,negated_conjecture,
( p2(f13(X1),f13(f11(c25)))
| ~ p4(f11(c23),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( p19(f13(f11(c25)),X1)
| ~ p19(f13(X2),X1)
| ~ p4(f11(c23),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
p19_12 ).
cnf(c_0_27,negated_conjecture,
p4(X1,X1),
p4_3 ).
cnf(c_0_28,negated_conjecture,
( p20(f17(X1),f17(X2))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p19(f13(f11(X1)),f13(f11(X2))) ),
p20_35 ).
cnf(c_0_29,negated_conjecture,
p19(f13(f11(c25)),f13(f11(c22))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_30,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
p2_10 ).
cnf(c_0_31,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
p2_9 ).
cnf(c_0_32,negated_conjecture,
~ p20(f17(c25),f17(c22)),
not_p20_7 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN640-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 19:06:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 1.19/1.27 % Version : CSE_E---1.5
% 1.19/1.27 % Problem : theBenchmark.p
% 1.19/1.27 % Proof found
% 1.19/1.27 % SZS status Theorem for theBenchmark.p
% 1.19/1.27 % SZS output start Proof
% See solution above
% 1.19/1.27 % Total time : 0.714000 s
% 1.19/1.27 % SZS output end Proof
% 1.19/1.27 % Total time : 0.716000 s
%------------------------------------------------------------------------------