TSTP Solution File: SYN005-1.010 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 01:48:24 EDT 2023
% Result : Unsatisfiable 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 42 ( 21 unt; 11 typ; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 118 ( 64 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 10 >; 10 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p_1: ( $i * $i ) > $o ).
tff(decl_23,type,
p_2: ( $i * $i ) > $o ).
tff(decl_24,type,
p_3: ( $i * $i ) > $o ).
tff(decl_25,type,
p_4: ( $i * $i ) > $o ).
tff(decl_26,type,
p_5: ( $i * $i ) > $o ).
tff(decl_27,type,
p_6: ( $i * $i ) > $o ).
tff(decl_28,type,
p_7: ( $i * $i ) > $o ).
tff(decl_29,type,
p_8: ( $i * $i ) > $o ).
tff(decl_30,type,
p_9: ( $i * $i ) > $o ).
tff(decl_31,type,
p_10: ( $i * $i ) > $o ).
tff(decl_32,type,
a: $i ).
cnf(disjunction,negated_conjecture,
( ~ p_1(X1,X2)
| ~ p_2(X2,X3)
| ~ p_3(X3,X4)
| ~ p_4(X4,X5)
| ~ p_5(X5,X6)
| ~ p_6(X6,X7)
| ~ p_7(X7,X8)
| ~ p_8(X8,X9)
| ~ p_9(X9,X10)
| ~ p_10(X10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disjunction) ).
cnf(p_10,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_10) ).
cnf(p_9,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_9) ).
cnf(p_8,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_8) ).
cnf(p_7,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_7) ).
cnf(p_6,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_6) ).
cnf(p_5,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_5) ).
cnf(p_4,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_4) ).
cnf(p_3,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_3) ).
cnf(p_2,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_2) ).
cnf(p_1,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p_1) ).
cnf(c_0_11,negated_conjecture,
( ~ p_1(X1,X2)
| ~ p_2(X2,X3)
| ~ p_3(X3,X4)
| ~ p_4(X4,X5)
| ~ p_5(X5,X6)
| ~ p_6(X6,X7)
| ~ p_7(X7,X8)
| ~ p_8(X8,X9)
| ~ p_9(X9,X10)
| ~ p_10(X10,X1) ),
disjunction ).
cnf(c_0_12,negated_conjecture,
p_10(a,a),
p_10 ).
cnf(c_0_13,negated_conjecture,
( ~ p_9(X1,a)
| ~ p_8(X2,X1)
| ~ p_7(X3,X2)
| ~ p_6(X4,X3)
| ~ p_5(X5,X4)
| ~ p_4(X6,X5)
| ~ p_3(X7,X6)
| ~ p_2(X8,X7)
| ~ p_1(a,X8) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p_9(a,a),
p_9 ).
cnf(c_0_15,negated_conjecture,
( ~ p_8(X1,a)
| ~ p_7(X2,X1)
| ~ p_6(X3,X2)
| ~ p_5(X4,X3)
| ~ p_4(X5,X4)
| ~ p_3(X6,X5)
| ~ p_2(X7,X6)
| ~ p_1(a,X7) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
p_8(a,a),
p_8 ).
cnf(c_0_17,negated_conjecture,
( ~ p_7(X1,a)
| ~ p_6(X2,X1)
| ~ p_5(X3,X2)
| ~ p_4(X4,X3)
| ~ p_3(X5,X4)
| ~ p_2(X6,X5)
| ~ p_1(a,X6) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
p_7(a,a),
p_7 ).
cnf(c_0_19,negated_conjecture,
( ~ p_6(X1,a)
| ~ p_5(X2,X1)
| ~ p_4(X3,X2)
| ~ p_3(X4,X3)
| ~ p_2(X5,X4)
| ~ p_1(a,X5) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
p_6(a,a),
p_6 ).
cnf(c_0_21,negated_conjecture,
( ~ p_5(X1,a)
| ~ p_4(X2,X1)
| ~ p_3(X3,X2)
| ~ p_2(X4,X3)
| ~ p_1(a,X4) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
p_5(a,a),
p_5 ).
cnf(c_0_23,negated_conjecture,
( ~ p_4(X1,a)
| ~ p_3(X2,X1)
| ~ p_2(X3,X2)
| ~ p_1(a,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
p_4(a,a),
p_4 ).
cnf(c_0_25,negated_conjecture,
( ~ p_3(X1,a)
| ~ p_2(X2,X1)
| ~ p_1(a,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
p_3(a,a),
p_3 ).
cnf(c_0_27,negated_conjecture,
( ~ p_2(X1,a)
| ~ p_1(a,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
p_2(a,a),
p_2 ).
cnf(c_0_29,negated_conjecture,
p_1(a,a),
p_1 ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 20:42:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.53 start to proof: theBenchmark
% 0.19/0.54 % Version : CSE_E---1.5
% 0.19/0.54 % Problem : theBenchmark.p
% 0.19/0.54 % Proof found
% 0.19/0.54 % SZS status Theorem for theBenchmark.p
% 0.19/0.54 % SZS output start Proof
% See solution above
% 0.19/0.54 % Total time : 0.004000 s
% 0.19/0.54 % SZS output end Proof
% 0.19/0.54 % Total time : 0.007000 s
%------------------------------------------------------------------------------