%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PLA007-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : Tue May 5 05:01:19 PM UTC 2026
% Result : Unsatisfiable 1.28s 1.72s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of clauses : 58 ( 27 unt; 0 nHn; 54 RR)
% Number of literals : 160 ( 0 equ; 119 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 85 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
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(putdown_3,axiom,
( holds(clear(X1),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_3) ).
cnf(differ_c_d,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
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_20,negated_conjecture,
~ holds(on(a,d),X1),
prove_AD ).
cnf(c_0_21,axiom,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_2 ).
cnf(c_0_22,negated_conjecture,
( ~ holds(holding(a),X1)
| ~ holds(clear(d),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,axiom,
( holds(holding(X1),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
pickup_1 ).
cnf(c_0_24,axiom,
differ(a,table),
differ_a_table ).
cnf(c_0_25,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
symmetry_of_differ ).
cnf(c_0_26,axiom,
differ(a,d),
differ_a_d ).
cnf(c_0_27,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_22,c_0_23]),c_0_24])]) ).
cnf(c_0_28,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X1),X3)
| ~ differ(X1,X2) ),
pickup_4 ).
cnf(c_0_29,plain,
differ(d,a),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,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_27,c_0_28]),c_0_29])]) ).
cnf(c_0_31,axiom,
( holds(clear(X1),do(putdown(X2,X3),X4))
| ~ holds(clear(X1),X4)
| ~ differ(X1,X3) ),
putdown_5 ).
cnf(c_0_32,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_30,c_0_31]) ).
cnf(c_0_33,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_32,c_0_31]) ).
cnf(c_0_34,axiom,
( holds(empty,do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_1 ).
cnf(c_0_35,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_33,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ differ(d,X2)
| ~ holds(clear(a),do(pickup(X2),X3))
| ~ holds(holding(X4),do(pickup(X2),X3))
| ~ holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(d),X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_37,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_38,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ differ(d,X2)
| ~ holds(holding(X3),do(pickup(X2),X4))
| ~ holds(clear(X1),do(pickup(X2),X4))
| ~ holds(on(X2,a),X4)
| ~ holds(clear(d),X4)
| ~ holds(clear(X2),X4)
| ~ holds(empty,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(a,X1)
| ~ differ(d,X2)
| ~ differ(X2,table)
| ~ holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X2,a),X3)
| ~ holds(clear(d),X3)
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_23]) ).
cnf(c_0_40,axiom,
holds(clear(table),X1),
clear_table ).
cnf(c_0_41,axiom,
differ(d,table),
differ_d_table ).
cnf(c_0_42,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(X1,table)
| ~ holds(on(X1,a),X2)
| ~ holds(clear(d),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_39,c_0_40]),c_0_41]),c_0_24])]) ).
cnf(c_0_43,axiom,
( holds(clear(X1),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_3 ).
cnf(c_0_44,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(X1,table)
| ~ holds(clear(d),do(putdown(X1,a),X2))
| ~ holds(clear(a),X2)
| ~ holds(holding(X1),X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_21]),c_0_34]),c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(X1,table)
| ~ holds(clear(a),X2)
| ~ holds(clear(d),X2)
| ~ holds(holding(X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_29])]) ).
cnf(c_0_46,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(X1,table)
| ~ holds(clear(a),do(pickup(X1),X2))
| ~ holds(clear(d),do(pickup(X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_47,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(X1,table)
| ~ holds(clear(a),do(pickup(X1),X2))
| ~ holds(on(X1,d),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_48,axiom,
differ(c,d),
differ_c_d ).
cnf(c_0_49,negated_conjecture,
( ~ differ(d,X1)
| ~ differ(X1,table)
| ~ differ(a,X1)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(a),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_50,axiom,
holds(on(c,d),s0),
initial_state3 ).
cnf(c_0_51,plain,
differ(d,c),
inference(spm,[status(thm)],[c_0_25,c_0_48]) ).
cnf(c_0_52,axiom,
differ(c,table),
differ_c_table ).
cnf(c_0_53,axiom,
differ(a,c),
differ_a_c ).
cnf(c_0_54,axiom,
holds(clear(a),s0),
initial_state5 ).
cnf(c_0_55,axiom,
holds(clear(c),s0),
initial_state7 ).
cnf(c_0_56,axiom,
holds(empty,s0),
initial_state8 ).
cnf(c_0_57,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA007-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:26:40 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.28/1.72 % Version : CSE_E---1.7
% 1.28/1.72 % Problem : theBenchmark.p
% 1.28/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.72 % SZS output start CNFRefutation
% See solution above
% 1.28/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------