TSTP Solution File: SYN686-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN686-1 : 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 : n014.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 01:53:47 EDT 2023
% Result : Unsatisfiable 4.56s 4.64s
% Output : CNFRefutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 57
% Syntax : Number of formulae : 80 ( 18 unt; 44 typ; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 30 >; 30 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 14 con; 0-2 aty)
% Number of variables : 62 ( 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,
p28: ( $i * $i ) > $o ).
tff(decl_29,type,
p26: ( $i * $i ) > $o ).
tff(decl_30,type,
p24: ( $i * $i ) > $o ).
tff(decl_31,type,
p22: ( $i * $i ) > $o ).
tff(decl_32,type,
p20: ( $i * $i ) > $o ).
tff(decl_33,type,
p2: ( $i * $i ) > $o ).
tff(decl_34,type,
p18: ( $i * $i ) > $o ).
tff(decl_35,type,
p16: ( $i * $i ) > $o ).
tff(decl_36,type,
p14: ( $i * $i ) > $o ).
tff(decl_37,type,
p13: ( $i * $i ) > $o ).
tff(decl_38,type,
c36: $i ).
tff(decl_39,type,
c33: $i ).
tff(decl_40,type,
c34: $i ).
tff(decl_41,type,
f7: ( $i * $i ) > $i ).
tff(decl_42,type,
c42: $i ).
tff(decl_43,type,
c32: $i ).
tff(decl_44,type,
f5: ( $i * $i ) > $i ).
tff(decl_45,type,
c37: $i ).
tff(decl_46,type,
c35: $i ).
tff(decl_47,type,
c39: $i ).
tff(decl_48,type,
f12: ( $i * $i ) > $i ).
tff(decl_49,type,
f10: ( $i * $i ) > $i ).
tff(decl_50,type,
c41: $i ).
tff(decl_51,type,
p30: ( $i * $i ) > $o ).
tff(decl_52,type,
p31: ( $i * $i ) > $o ).
tff(decl_53,type,
f15: ( $i * $i ) > $i ).
tff(decl_54,type,
f19: ( $i * $i ) > $i ).
tff(decl_55,type,
f21: ( $i * $i ) > $i ).
tff(decl_56,type,
f27: ( $i * $i ) > $i ).
tff(decl_57,type,
f25: ( $i * $i ) > $i ).
tff(decl_58,type,
f29: ( $i * $i ) > $i ).
tff(decl_59,type,
f17: ( $i * $i ) > $i ).
tff(decl_60,type,
f23: ( $i * $i ) > $i ).
tff(decl_61,type,
c45: $i ).
tff(decl_62,type,
c43: $i ).
tff(decl_63,type,
c40: $i ).
tff(decl_64,type,
c38: $i ).
tff(decl_65,type,
c44: $i ).
cnf(p30_39,negated_conjecture,
( p30(X1,X2)
| ~ p4(X3,X2)
| ~ p9(X4,X1)
| ~ p30(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(p4_27,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_27) ).
cnf(p4_19,negated_conjecture,
p4(f5(c32,c36),c37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_19) ).
cnf(p9_41,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p4(X2,X4)
| ~ p8(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_41) ).
cnf(p4_50,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_50) ).
cnf(p30_21,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_21) ).
cnf(p4_20,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_20) ).
cnf(p2_12,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p8_51,negated_conjecture,
( p8(f12(X1,X2),f12(X3,X4))
| ~ p11(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_51) ).
cnf(p3_17,negated_conjecture,
p3(c36,f7(c33,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
cnf(not_p30_22,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_22) ).
cnf(p11_1,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).
cnf(c_0_13,negated_conjecture,
( p30(X1,X2)
| ~ p4(X3,X2)
| ~ p9(X4,X1)
| ~ p30(X4,X3) ),
p30_39 ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_15,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_27 ).
cnf(c_0_16,negated_conjecture,
p4(f5(c32,c36),c37),
p4_19 ).
cnf(c_0_17,negated_conjecture,
( p30(X1,X2)
| ~ p30(X3,X2)
| ~ p9(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p4(X2,X4)
| ~ p8(X1,X3) ),
p9_41 ).
cnf(c_0_19,negated_conjecture,
( p4(X1,c37)
| ~ p4(f5(c32,c36),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_50 ).
cnf(c_0_21,negated_conjecture,
( p30(f10(X1,X2),X3)
| ~ p30(f10(X4,X5),X3)
| ~ p4(X5,X2)
| ~ p8(X4,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p30(f10(f12(c39,c36),c37),c41),
p30_21 ).
cnf(c_0_23,negated_conjecture,
p4(f5(c32,f7(c33,c34)),c35),
p4_20 ).
cnf(c_0_24,negated_conjecture,
( p4(f5(X1,X2),c37)
| ~ p2(c32,X1)
| ~ p3(c36,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
p2(X1,X1),
p2_12 ).
cnf(c_0_26,negated_conjecture,
( p30(f10(X1,X2),c41)
| ~ p4(c37,X2)
| ~ p8(f12(c39,c36),X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( p8(f12(X1,X2),f12(X3,X4))
| ~ p11(X1,X3)
| ~ p3(X2,X4) ),
p8_51 ).
cnf(c_0_28,negated_conjecture,
( p4(X1,c35)
| ~ p4(f5(c32,f7(c33,c34)),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( p4(f5(c32,X1),c37)
| ~ p3(c36,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
p3(c36,f7(c33,c34)),
p3_17 ).
cnf(c_0_31,negated_conjecture,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
not_p30_22 ).
cnf(c_0_32,negated_conjecture,
( p30(f10(f12(X1,X2),X3),c41)
| ~ p3(c36,X2)
| ~ p4(c37,X3)
| ~ p11(c39,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
p4(c37,c35),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_34,negated_conjecture,
p11(X1,X1),
p11_1 ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30]),c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN686-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.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 20:59:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 4.56/4.64 % Version : CSE_E---1.5
% 4.56/4.64 % Problem : theBenchmark.p
% 4.56/4.64 % Proof found
% 4.56/4.64 % SZS status Theorem for theBenchmark.p
% 4.56/4.64 % SZS output start Proof
% See solution above
% 4.56/4.65 % Total time : 4.028000 s
% 4.56/4.65 % SZS output end Proof
% 4.56/4.65 % Total time : 4.032000 s
%------------------------------------------------------------------------------