TSTP Solution File: SYN656-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 01:53:39 EDT 2023
% Result : Unsatisfiable 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 46
% Syntax : Number of formulae : 70 ( 14 unt; 35 typ; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 36 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 24 >; 24 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p11: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p8: ( $i * $i ) > $o ).
tff(decl_25,type,
p6: ( $i * $i ) > $o ).
tff(decl_26,type,
p4: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p22: ( $i * $i ) > $o ).
tff(decl_29,type,
p20: ( $i * $i ) > $o ).
tff(decl_30,type,
p2: ( $i * $i ) > $o ).
tff(decl_31,type,
p18: ( $i * $i ) > $o ).
tff(decl_32,type,
p16: ( $i * $i ) > $o ).
tff(decl_33,type,
p14: ( $i * $i ) > $o ).
tff(decl_34,type,
p12: ( $i * $i ) > $o ).
tff(decl_35,type,
c26: $i ).
tff(decl_36,type,
c27: $i ).
tff(decl_37,type,
p24: ( $i * $i ) > $o ).
tff(decl_38,type,
c30: $i ).
tff(decl_39,type,
c31: $i ).
tff(decl_40,type,
f13: ( $i * $i ) > $i ).
tff(decl_41,type,
f10: ( $i * $i ) > $i ).
tff(decl_42,type,
c28: $i ).
tff(decl_43,type,
c29: $i ).
tff(decl_44,type,
f7: ( $i * $i ) > $i ).
tff(decl_45,type,
f5: ( $i * $i ) > $i ).
tff(decl_46,type,
p25: ( $i * $i ) > $o ).
tff(decl_47,type,
c32: $i ).
tff(decl_48,type,
f15: ( $i * $i ) > $i ).
tff(decl_49,type,
f17: ( $i * $i ) > $i ).
tff(decl_50,type,
f21: ( $i * $i ) > $i ).
tff(decl_51,type,
f23: ( $i * $i ) > $i ).
tff(decl_52,type,
f19: ( $i * $i ) > $i ).
tff(decl_53,type,
c33: $i ).
tff(decl_54,type,
c34: $i ).
tff(decl_55,type,
c35: $i ).
tff(decl_56,type,
c36: $i ).
cnf(p25_35,negated_conjecture,
( p25(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p25(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_35) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(p4_44,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_44) ).
cnf(p25_31,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X1))),f13(c31,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_31) ).
cnf(p25_46,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X4)
| ~ p25(f5(f7(c28,X1),X4),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_46) ).
cnf(p3_49,negated_conjecture,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X1))),f13(c31,c34)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_49) ).
cnf(p2_9,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
cnf(p3_22,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_22) ).
cnf(not_p25_45,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p25_45) ).
cnf(p25_32,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_32) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(c_0_11,negated_conjecture,
( p25(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p25(X4,X3) ),
p25_35 ).
cnf(c_0_12,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_13,negated_conjecture,
( p25(X1,X2)
| ~ p25(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_44 ).
cnf(c_0_15,negated_conjecture,
( p25(f5(X1,X2),X3)
| ~ p25(f5(X4,X5),X3)
| ~ p2(X4,X1)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
p25(f5(c29,f13(c31,f15(c32,X1))),f13(c31,X1)),
p25_31 ).
cnf(c_0_17,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X4)
| ~ p25(f5(f7(c28,X1),X4),X3) ),
p25_46 ).
cnf(c_0_18,negated_conjecture,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X1))),f13(c31,c34)) ),
p3_49 ).
cnf(c_0_19,negated_conjecture,
( p25(f5(X1,X2),f13(c31,X3))
| ~ p2(c29,X1)
| ~ p3(f13(c31,f15(c32,X3)),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p25(f5(f7(c28,c29),X1),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X2)))
| ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X2))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( p25(f5(X1,f13(c31,f15(c32,X2))),f13(c31,X2))
| ~ p2(c29,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_22,negated_conjecture,
p2(X1,X1),
p2_9 ).
cnf(c_0_23,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_22 ).
cnf(c_0_24,negated_conjecture,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
not_p25_45 ).
cnf(c_0_25,negated_conjecture,
( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X1)))),f13(c31,c34))
| p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_12]) ).
cnf(c_0_27,negated_conjecture,
p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( p25(X1,f13(c31,c34))
| ~ p25(X2,f13(c31,f15(f17(c33,c34),c35)))
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( p25(f5(f7(c28,X1),X2),X3)
| ~ p25(f5(X1,X2),X3) ),
p25_32 ).
cnf(c_0_31,negated_conjecture,
( p25(X1,f13(c31,c34))
| ~ p4(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_32,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_33,negated_conjecture,
~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n029.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 17:44:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.009000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.012000 s
%------------------------------------------------------------------------------