TSTP Solution File: PLA007-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PLA007-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 12:59:14 EDT 2023
% Result : Unsatisfiable 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 34
% Syntax : Number of formulae : 64 ( 24 unt; 16 typ; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 160 ( 86 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 9 >; 6 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 67 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
and: ( $i * $i ) > $i ).
tff(decl_23,type,
holds: ( $i * $i ) > $o ).
tff(decl_24,type,
holding: $i > $i ).
tff(decl_25,type,
pickup: $i > $i ).
tff(decl_26,type,
do: ( $i * $i ) > $i ).
tff(decl_27,type,
empty: $i ).
tff(decl_28,type,
clear: $i > $i ).
tff(decl_29,type,
table: $i ).
tff(decl_30,type,
differ: ( $i * $i ) > $o ).
tff(decl_31,type,
on: ( $i * $i ) > $i ).
tff(decl_32,type,
putdown: ( $i * $i ) > $i ).
tff(decl_33,type,
a: $i ).
tff(decl_34,type,
b: $i ).
tff(decl_35,type,
c: $i ).
tff(decl_36,type,
d: $i ).
tff(decl_37,type,
s0: $i ).
cnf(prove_AD,negated_conjecture,
~ holds(on(a,d),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_AD) ).
cnf(putdown_2,axiom,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
cnf(pickup_1,axiom,
( holds(holding(X1),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
cnf(differ_a_table,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
cnf(symmetry_of_differ,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
cnf(differ_a_d,axiom,
differ(a,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).
cnf(pickup_4,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X1),X3)
| ~ differ(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
cnf(putdown_5,axiom,
( holds(clear(X1),do(putdown(X2,X3),X4))
| ~ holds(clear(X1),X4)
| ~ differ(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
cnf(putdown_1,axiom,
( holds(empty,do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
cnf(pickup_2,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X2,X1),X3)
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_2) ).
cnf(clear_table,axiom,
holds(clear(table),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',clear_table) ).
cnf(differ_d_table,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
cnf(initial_state3,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
cnf(differ_c_table,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
cnf(differ_a_c,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
cnf(initial_state5,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
cnf(initial_state7,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
cnf(initial_state8,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
cnf(c_0_18,negated_conjecture,
~ holds(on(a,d),X1),
prove_AD ).
cnf(c_0_19,axiom,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_2 ).
cnf(c_0_20,negated_conjecture,
( ~ holds(holding(a),X1)
| ~ holds(clear(d),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,axiom,
( holds(holding(X1),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
pickup_1 ).
cnf(c_0_22,axiom,
differ(a,table),
differ_a_table ).
cnf(c_0_23,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
symmetry_of_differ ).
cnf(c_0_24,axiom,
differ(a,d),
differ_a_d ).
cnf(c_0_25,negated_conjecture,
( ~ holds(clear(d),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(empty,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,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X1),X3)
| ~ differ(X1,X2) ),
pickup_4 ).
cnf(c_0_27,plain,
differ(d,a),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( ~ holds(clear(a),X1)
| ~ holds(clear(d),X1)
| ~ holds(empty,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_29,axiom,
( holds(clear(X1),do(putdown(X2,X3),X4))
| ~ holds(clear(X1),X4)
| ~ differ(X1,X3) ),
putdown_5 ).
cnf(c_0_30,negated_conjecture,
( ~ differ(d,X1)
| ~ holds(clear(a),do(putdown(X2,X1),X3))
| ~ holds(empty,do(putdown(X2,X1),X3))
| ~ holds(clear(d),X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ holds(empty,do(putdown(X2,X1),X3))
| ~ holds(clear(d),X3)
| ~ holds(clear(a),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_32,axiom,
( holds(empty,do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_1 ).
cnf(c_0_33,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ holds(clear(d),X2)
| ~ holds(clear(a),X2)
| ~ holds(holding(X3),X2)
| ~ holds(clear(X1),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ differ(X2,table)
| ~ holds(clear(d),do(pickup(X2),X3))
| ~ holds(clear(a),do(pickup(X2),X3))
| ~ holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_35,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X2,X1),X3)
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
pickup_2 ).
cnf(c_0_36,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ differ(X2,table)
| ~ holds(clear(a),do(pickup(X2),X3))
| ~ holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X2,d),X3)
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ differ(X2,table)
| ~ differ(a,X2)
| ~ holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X2,d),X3)
| ~ holds(clear(a),X3)
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_26]) ).
cnf(c_0_38,axiom,
holds(clear(table),X1),
clear_table ).
cnf(c_0_39,axiom,
differ(d,table),
differ_d_table ).
cnf(c_0_40,negated_conjecture,
( ~ differ(X1,table)
| ~ differ(a,X1)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(a),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_22])]) ).
cnf(c_0_41,axiom,
holds(on(c,d),s0),
initial_state3 ).
cnf(c_0_42,axiom,
differ(c,table),
differ_c_table ).
cnf(c_0_43,axiom,
differ(a,c),
differ_a_c ).
cnf(c_0_44,axiom,
holds(clear(a),s0),
initial_state5 ).
cnf(c_0_45,axiom,
holds(clear(c),s0),
initial_state7 ).
cnf(c_0_46,axiom,
holds(empty,s0),
initial_state8 ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PLA007-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 05:53:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.017000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.020000 s
%------------------------------------------------------------------------------