TSTP Solution File: LCL028-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL028-1 : 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 : n006.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 : Thu Aug 31 06:51:51 EDT 2023
% Result : Unsatisfiable 45.42s 45.58s
% Output : CNFRefutation 45.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 88 ( 47 unt; 7 typ; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 41 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 213 ( 56 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
implies: ( $i * $i ) > $i ).
tff(decl_23,type,
is_a_theorem: $i > $o ).
tff(decl_24,type,
falsehood: $i ).
tff(decl_25,type,
a: $i ).
tff(decl_26,type,
b: $i ).
tff(decl_27,type,
c: $i ).
tff(decl_28,type,
e: $i ).
cnf(condensed_detachment,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c0_6,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_6) ).
cnf(c0_2,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_2) ).
cnf(c0_5,axiom,
is_a_theorem(implies(implies(implies(X1,falsehood),falsehood),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c0_5) ).
cnf(prove_c0_CAMerideth,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c0_CAMerideth) ).
cnf(c_0_5,axiom,
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X1) ),
condensed_detachment ).
cnf(c_0_6,axiom,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
c0_6 ).
cnf(c_0_7,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
is_a_theorem(implies(X1,implies(X2,X1))),
c0_2 ).
cnf(c_0_9,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X3,X2)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_8]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_14,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_15,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_16,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X1,X2),X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,plain,
is_a_theorem(implies(X1,implies(X2,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_8]) ).
cnf(c_0_18,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
is_a_theorem(implies(X1,implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_20,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_21,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_18]) ).
cnf(c_0_22,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_23,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_24,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X4,X1),X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_25,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),implies(implies(X1,X2),X2))),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_26,plain,
is_a_theorem(implies(X1,implies(implies(X2,implies(X1,X3)),implies(X2,X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,axiom,
is_a_theorem(implies(implies(implies(X1,falsehood),falsehood),X1)),
c0_5 ).
cnf(c_0_28,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),X3))),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_30,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_31,plain,
is_a_theorem(implies(falsehood,X1)),
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_32,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))),
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_33,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X3,X1),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_29]) ).
cnf(c_0_34,plain,
is_a_theorem(implies(X1,implies(X2,implies(implies(X1,implies(X2,X3)),X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_30]) ).
cnf(c_0_35,plain,
is_a_theorem(implies(X1,implies(falsehood,X2))),
inference(spm,[status(thm)],[c_0_15,c_0_31]) ).
cnf(c_0_36,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_32]) ).
cnf(c_0_37,plain,
is_a_theorem(implies(X1,implies(implies(X1,implies(implies(X2,X1),X3)),X3))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
is_a_theorem(implies(implies(implies(falsehood,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_35]) ).
cnf(c_0_39,plain,
( is_a_theorem(implies(X1,implies(implies(X2,X3),X3)))
| ~ is_a_theorem(implies(implies(X4,X1),X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_36]) ).
cnf(c_0_40,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_15,c_0_37]) ).
cnf(c_0_41,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(falsehood,X2),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_38]) ).
cnf(c_0_42,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_43,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(implies(X2,X3),X4),X4))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_41,c_0_23]) ).
cnf(c_0_45,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,falsehood),falsehood)) ),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_46,plain,
is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X2),X2)),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
cnf(c_0_47,plain,
( is_a_theorem(implies(implies(X1,falsehood),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_44]) ).
cnf(c_0_48,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,falsehood),X2),X2))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(implies(implies(X1,X2),X3),X3))),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_50,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_51,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_52,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X2,falsehood),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_48]) ).
cnf(c_0_53,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X1,falsehood),X3))),
inference(spm,[status(thm)],[c_0_15,c_0_49]) ).
cnf(c_0_54,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_15,c_0_50]) ).
cnf(c_0_55,plain,
is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X1,X2),X3)))),
inference(spm,[status(thm)],[c_0_22,c_0_51]) ).
cnf(c_0_56,plain,
is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),X3)),
inference(spm,[status(thm)],[c_0_16,c_0_54]) ).
cnf(c_0_58,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_21,c_0_55]) ).
cnf(c_0_59,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X2,X3),X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_56]) ).
cnf(c_0_60,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,implies(X3,X2)),X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_57]) ).
cnf(c_0_61,plain,
is_a_theorem(implies(implies(X1,falsehood),implies(implies(implies(X2,X2),X1),X3))),
inference(spm,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_62,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
inference(spm,[status(thm)],[c_0_59,c_0_43]) ).
cnf(c_0_63,plain,
is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_60,c_0_23]) ).
cnf(c_0_64,plain,
is_a_theorem(implies(X1,implies(implies(implies(X2,X2),implies(X1,falsehood)),X3))),
inference(spm,[status(thm)],[c_0_22,c_0_61]) ).
cnf(c_0_65,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(implies(X2,X3),X2))) ),
inference(spm,[status(thm)],[c_0_9,c_0_62]) ).
cnf(c_0_66,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_5,c_0_51]) ).
cnf(c_0_67,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(X1,implies(X4,X2)),X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_63]) ).
cnf(c_0_68,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_5,c_0_23]) ).
cnf(c_0_69,plain,
is_a_theorem(implies(implies(implies(X1,X1),implies(X2,falsehood)),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_15,c_0_64]) ).
cnf(c_0_70,plain,
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X2,X3),X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
| ~ is_a_theorem(implies(implies(X4,X2),X3)) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
is_a_theorem(implies(implies(implies(X1,X1),implies(implies(X2,X3),falsehood)),X2)),
inference(spm,[status(thm)],[c_0_65,c_0_69]) ).
cnf(c_0_73,plain,
( is_a_theorem(implies(implies(X1,falsehood),implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X1,X4),X3)) ),
inference(spm,[status(thm)],[c_0_47,c_0_20]) ).
cnf(c_0_74,plain,
( is_a_theorem(implies(implies(implies(X1,X2),X3),X3))
| ~ is_a_theorem(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_70,c_0_66]) ).
cnf(c_0_75,plain,
( is_a_theorem(implies(implies(X1,implies(X2,X3)),X4))
| ~ is_a_theorem(implies(implies(X2,implies(X1,X3)),X4)) ),
inference(spm,[status(thm)],[c_0_11,c_0_30]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(implies(X1,implies(implies(X2,X3),falsehood)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(c,falsehood)),e),falsehood),implies(implies(falsehood,a),implies(c,a)))),
prove_c0_CAMerideth ).
cnf(c_0_78,plain,
( is_a_theorem(implies(implies(implies(X1,X2),falsehood),implies(X3,X4)))
| ~ is_a_theorem(implies(X1,X4)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(implies(implies(X1,X2),implies(X3,falsehood)),implies(X3,X1))),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL028-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 18:22:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 45.42/45.58 % Version : CSE_E---1.5
% 45.42/45.58 % Problem : theBenchmark.p
% 45.42/45.58 % Proof found
% 45.42/45.58 % SZS status Theorem for theBenchmark.p
% 45.42/45.58 % SZS output start Proof
% See solution above
% 45.42/45.59 % Total time : 45.007000 s
% 45.42/45.59 % SZS output end Proof
% 45.42/45.59 % Total time : 45.011000 s
%------------------------------------------------------------------------------