%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PLA009-2 : TPTP v9.2.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 05:01:20 PM UTC 2026
% Result : Unsatisfiable 1.30s 1.70s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 53 ( 23 unt; 0 nHn; 49 RR)
% Number of literals : 137 ( 0 equ; 96 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 86 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_D_AB,negated_conjecture,
~ holds(and(clear(d),on(a,b)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_D_AB) ).
cnf(and_definition,axiom,
( holds(and(X1,X2),X3)
| ~ holds(X1,X3)
| ~ holds(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',and_definition) ).
cnf(pickup_3,axiom,
( holds(on(X1,X2),do(pickup(X3),X4))
| ~ holds(on(X1,X2),X4)
| ~ differ(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_3) ).
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/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_2) ).
cnf(putdown_2,axiom,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_2) ).
cnf(putdown_1,axiom,
( holds(empty,do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
cnf(putdown_4,axiom,
( holds(on(X1,X2),do(putdown(X3,X4),X5))
| ~ holds(on(X1,X2),X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).
cnf(putdown_5,axiom,
( holds(clear(X1),do(putdown(X2,X3),X4))
| ~ holds(clear(X1),X4)
| ~ differ(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
cnf(pickup_1,axiom,
( holds(holding(X1),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
cnf(differ_a_table,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
cnf(symmetry_of_differ,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
cnf(differ_a_b,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
cnf(pickup_4,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X1),X3)
| ~ differ(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_4) ).
cnf(differ_b_c,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
cnf(initial_state3,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
cnf(differ_a_c,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
cnf(initial_state5,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
cnf(initial_state6,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
cnf(initial_state7,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
cnf(initial_state8,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
cnf(c_0_20,negated_conjecture,
~ holds(and(clear(d),on(a,b)),X1),
prove_D_AB ).
cnf(c_0_21,axiom,
( holds(and(X1,X2),X3)
| ~ holds(X1,X3)
| ~ holds(X2,X3) ),
and_definition ).
cnf(c_0_22,negated_conjecture,
( ~ holds(on(a,b),X1)
| ~ holds(clear(d),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,axiom,
( holds(on(X1,X2),do(pickup(X3),X4))
| ~ holds(on(X1,X2),X4)
| ~ differ(X1,X3) ),
pickup_3 ).
cnf(c_0_24,negated_conjecture,
( ~ differ(a,X1)
| ~ holds(clear(d),do(pickup(X1),X2))
| ~ holds(on(a,b),X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,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_26,negated_conjecture,
( ~ differ(a,X1)
| ~ holds(on(a,b),X2)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,axiom,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_2 ).
cnf(c_0_28,axiom,
( holds(empty,do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_1 ).
cnf(c_0_29,negated_conjecture,
( ~ differ(a,X1)
| ~ holds(on(X1,d),do(putdown(a,b),X2))
| ~ holds(clear(X1),do(putdown(a,b),X2))
| ~ holds(holding(a),X2)
| ~ holds(clear(b),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_30,axiom,
( holds(on(X1,X2),do(putdown(X3,X4),X5))
| ~ holds(on(X1,X2),X5) ),
putdown_4 ).
cnf(c_0_31,negated_conjecture,
( ~ differ(a,X1)
| ~ holds(clear(X1),do(putdown(a,b),X2))
| ~ holds(on(X1,d),X2)
| ~ holds(holding(a),X2)
| ~ holds(clear(b),X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,axiom,
( holds(clear(X1),do(putdown(X2,X3),X4))
| ~ holds(clear(X1),X4)
| ~ differ(X1,X3) ),
putdown_5 ).
cnf(c_0_33,negated_conjecture,
( ~ differ(a,X1)
| ~ differ(X1,b)
| ~ holds(on(X1,d),X2)
| ~ holds(holding(a),X2)
| ~ holds(clear(b),X2)
| ~ holds(clear(X1),X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( ~ differ(a,X1)
| ~ differ(X1,b)
| ~ differ(X1,X2)
| ~ holds(holding(a),do(pickup(X2),X3))
| ~ holds(clear(b),do(pickup(X2),X3))
| ~ holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X1,d),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
cnf(c_0_35,axiom,
( holds(holding(X1),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
pickup_1 ).
cnf(c_0_36,axiom,
differ(a,table),
differ_a_table ).
cnf(c_0_37,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
symmetry_of_differ ).
cnf(c_0_38,axiom,
differ(a,b),
differ_a_b ).
cnf(c_0_39,negated_conjecture,
( ~ differ(a,X1)
| ~ differ(X1,b)
| ~ holds(clear(b),do(pickup(a),X2))
| ~ holds(clear(X1),do(pickup(a),X2))
| ~ holds(on(X1,d),X2)
| ~ holds(clear(a),X2)
| ~ holds(empty,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_40,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X1),X3)
| ~ differ(X1,X2) ),
pickup_4 ).
cnf(c_0_41,plain,
differ(b,a),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( ~ differ(a,X1)
| ~ differ(X1,b)
| ~ holds(clear(X1),do(pickup(a),X2))
| ~ holds(on(X1,d),X2)
| ~ holds(clear(a),X2)
| ~ holds(clear(b),X2)
| ~ holds(empty,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,axiom,
differ(b,c),
differ_b_c ).
cnf(c_0_44,negated_conjecture,
( ~ differ(a,X1)
| ~ differ(X1,b)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(a),X2)
| ~ holds(clear(b),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_37]) ).
cnf(c_0_45,axiom,
holds(on(c,d),s0),
initial_state3 ).
cnf(c_0_46,axiom,
differ(a,c),
differ_a_c ).
cnf(c_0_47,plain,
differ(c,b),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_48,axiom,
holds(clear(a),s0),
initial_state5 ).
cnf(c_0_49,axiom,
holds(clear(b),s0),
initial_state6 ).
cnf(c_0_50,axiom,
holds(clear(c),s0),
initial_state7 ).
cnf(c_0_51,axiom,
holds(empty,s0),
initial_state8 ).
cnf(c_0_52,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_44,c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PLA009-2 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.31 % Computer : n031.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Tue May 5 01:27:39 EDT 2026
% 0.13/0.31 % CPUTime :
% 0.13/0.32 % start to proof: theBenchmark
% 1.30/1.70 % Version : CSE_E---1.7
% 1.30/1.70 % Problem : theBenchmark.p
% 1.30/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 1.30/1.70 % SZS output start CNFRefutation
% See solution above
% 1.30/1.70 % Total time : 1.370s
%------------------------------------------------------------------------------