TSTP Solution File: SYN570-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN570-1 : 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 : n027.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 01:53:16 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 46 ( 18 unt; 14 typ; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 43 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p7: ( $i * $i ) > $o ).
tff(decl_24,type,
p6: ( $i * $i ) > $o ).
tff(decl_25,type,
p3: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
c12: $i ).
tff(decl_28,type,
c14: $i ).
tff(decl_29,type,
p11: ( $i * $i ) > $o ).
tff(decl_30,type,
c15: $i ).
tff(decl_31,type,
c13: $i ).
tff(decl_32,type,
f8: $i > $i ).
tff(decl_33,type,
p9: ( $i * $i ) > $o ).
tff(decl_34,type,
f5: $i > $i ).
tff(decl_35,type,
f4: $i > $i ).
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_9,negated_conjecture,
p3(f4(f5(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
cnf(p3_13,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
cnf(p2_8,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
cnf(p9_19,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X2)
| ~ p9(X4,X3)
| ~ p3(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).
cnf(p9_7,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_7) ).
cnf(not_p9_10,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(c_0_11,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_12,negated_conjecture,
p3(f4(f5(X1)),X1),
p3_9 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_18 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(f4(f5(X2)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_13 ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p2(c12,f5(c15)),
p2_8 ).
cnf(c_0_19,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_20,negated_conjecture,
( p3(f4(X1),X2)
| ~ p2(f5(X2),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(f5(c15),c12),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
p3(f4(c12),c15),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X2)
| ~ p9(X4,X3)
| ~ p3(X4,X1) ),
p9_19 ).
cnf(c_0_25,negated_conjecture,
p3(c15,f4(c12)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p9(f4(c12),X1)
| ~ p9(c15,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
p9(c15,f8(c13)),
p9_7 ).
cnf(c_0_28,negated_conjecture,
~ p9(f4(c12),f8(c13)),
not_p9_10 ).
cnf(c_0_29,negated_conjecture,
( p9(f4(c12),X1)
| ~ p7(f8(c13),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN570-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.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 21:13:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.62 % Total time : 0.031000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.034000 s
%------------------------------------------------------------------------------