%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PLA006-1 : 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 : n027.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 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 31
% Syntax : Number of clauses : 68 ( 44 unt; 0 nHn; 62 RR)
% Number of literals : 115 ( 0 equ; 51 neg)
% Maximal clause size : 4 ( 1 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 : 81 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
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(putdown_4,axiom,
( holds(on(X1,X2),do(putdown(X3,X4),X5))
| ~ holds(on(X1,X2),X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_4) ).
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(pickup_3,axiom,
( holds(on(X1,X2),do(pickup(X3),X4))
| ~ holds(on(X1,X2),X4)
| ~ differ(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_3) ).
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(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(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(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(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(and_definition,axiom,
( holds(and(X1,X2),X3)
| ~ holds(X1,X3)
| ~ holds(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',and_definition) ).
cnf(prove_CTable,negated_conjecture,
~ holds(on(c,table),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_CTable) ).
cnf(symmetry_of_differ,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
cnf(initial_state4,axiom,
holds(on(d,table),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state4) ).
cnf(initial_state3,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
cnf(initial_state2,axiom,
holds(on(b,table),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state2) ).
cnf(initial_state1,axiom,
holds(on(a,table),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state1) ).
cnf(clear_table,axiom,
holds(clear(table),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',clear_table) ).
cnf(initial_state7,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
cnf(initial_state6,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
cnf(initial_state5,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
cnf(differ_d_table,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
cnf(differ_c_d,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
cnf(differ_c_table,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
cnf(differ_b_d,axiom,
differ(b,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).
cnf(differ_b_c,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
cnf(differ_b_table,axiom,
differ(b,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).
cnf(differ_a_d,axiom,
differ(a,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).
cnf(differ_a_c,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
cnf(differ_a_b,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
cnf(differ_a_table,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
cnf(initial_state8,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
cnf(i_0_31,axiom,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_2,
[final] ).
cnf(i_0_32,axiom,
( holds(on(X1,X2),do(putdown(X3,X4),X5))
| ~ holds(on(X1,X2),X5) ),
putdown_4,
[final] ).
cnf(i_0_33,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(on(X2,X1),X3)
| ~ holds(clear(X2),X3)
| ~ holds(empty,X3) ),
pickup_2,
[final] ).
cnf(i_0_34,axiom,
( holds(on(X1,X2),do(pickup(X3),X4))
| ~ holds(on(X1,X2),X4)
| ~ differ(X1,X3) ),
pickup_3,
[final] ).
cnf(i_0_35,axiom,
( holds(clear(X1),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_3,
[final] ).
cnf(i_0_36,axiom,
( holds(empty,do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
putdown_1,
[final] ).
cnf(i_0_37,axiom,
( holds(clear(X1),do(putdown(X2,X3),X4))
| ~ holds(clear(X1),X4)
| ~ differ(X1,X3) ),
putdown_5,
[final] ).
cnf(i_0_38,axiom,
( holds(holding(X1),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table) ),
pickup_1,
[final] ).
cnf(i_0_39,axiom,
( holds(clear(X1),do(pickup(X2),X3))
| ~ holds(clear(X1),X3)
| ~ differ(X1,X2) ),
pickup_4,
[final] ).
cnf(i_0_40,axiom,
( holds(and(X1,X2),X3)
| ~ holds(X1,X3)
| ~ holds(X2,X3) ),
and_definition,
[final] ).
cnf(i_0_41,negated_conjecture,
~ holds(on(c,table),X1),
prove_CTable,
[final] ).
cnf(i_0_42,axiom,
( differ(X1,X2)
| ~ differ(X2,X1) ),
symmetry_of_differ,
[final] ).
cnf(i_0_43,axiom,
holds(on(d,table),s0),
initial_state4,
[final] ).
cnf(i_0_44,axiom,
holds(on(c,d),s0),
initial_state3,
[final] ).
cnf(i_0_45,axiom,
holds(on(b,table),s0),
initial_state2,
[final] ).
cnf(i_0_46,axiom,
holds(on(a,table),s0),
initial_state1,
[final] ).
cnf(i_0_47,axiom,
holds(clear(table),X1),
clear_table,
[final] ).
cnf(i_0_48,axiom,
holds(clear(c),s0),
initial_state7,
[final] ).
cnf(i_0_49,axiom,
holds(clear(b),s0),
initial_state6,
[final] ).
cnf(i_0_50,axiom,
holds(clear(a),s0),
initial_state5,
[final] ).
cnf(i_0_51,axiom,
differ(d,table),
differ_d_table,
[final] ).
cnf(i_0_52,axiom,
differ(c,d),
differ_c_d,
[final] ).
cnf(i_0_53,axiom,
differ(c,table),
differ_c_table,
[final] ).
cnf(i_0_54,axiom,
differ(b,d),
differ_b_d,
[final] ).
cnf(i_0_55,axiom,
differ(b,c),
differ_b_c,
[final] ).
cnf(i_0_56,axiom,
differ(b,table),
differ_b_table,
[final] ).
cnf(i_0_57,axiom,
differ(a,d),
differ_a_d,
[final] ).
cnf(i_0_58,axiom,
differ(a,c),
differ_a_c,
[final] ).
cnf(i_0_59,axiom,
differ(a,b),
differ_a_b,
[final] ).
cnf(i_0_60,axiom,
differ(a,table),
differ_a_table,
[final] ).
cnf(i_0_61,axiom,
holds(empty,s0),
initial_state8,
[final] ).
cnf(i_0_62,plain,
differ(table,d),
inference(scs_inference,[],[i_0_51,i_0_42]) ).
cnf(i_0_63,plain,
( ~ differ(X1,X2)
| differ(X2,X1) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_64,plain,
~ holds(holding(c),X1),
inference(scs_inference,[],[i_0_41,i_0_47,i_0_51,i_0_42,i_0_31]) ).
cnf(i_0_65,plain,
~ holds(on(c,table),X1),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_66,plain,
( holds(on(X1,X2),do(putdown(X1,X2),X3))
| ~ holds(holding(X1),X3)
| ~ holds(clear(X2),X3) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_67,plain,
$false,
inference(scs_inference,[],[i_0_41,i_0_47,i_0_51,i_0_53,i_0_61,i_0_48,i_0_42,i_0_31,i_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PLA006-1 : 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
% 0.16/0.33 % Computer : n027.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:26:05 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.64 % Total time : 1.270s
%------------------------------------------------------------------------------