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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:58:49 PM UTC 2026

% Result   : Unsatisfiable 0.53s 0.49s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   99 (  39 unt;   0 nHn;  91 RR)
%            Number of literals    :  256 (   0 equ; 187 neg)
%            Maximal clause size   :    6 (   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   :  149 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_BD_AC,negated_conjecture,
    ~ holds(and(on(b,d),on(a,c)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_BD_AC) ).

cnf(and_definition,axiom,
    ( ~ holds(X2,X3)
    | ~ holds(X1,X3)
    | holds(and(X1,X2),X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',and_definition) ).

cnf(putdown_4,axiom,
    ( ~ holds(on(X1,X2),X5)
    | holds(on(X1,X2),do(putdown(X3,X4),X5)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_4) ).

cnf(putdown_2,axiom,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(on(X1,X2),do(putdown(X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).

cnf(pickup_1,axiom,
    ( ~ differ(X1,table)
    | ~ holds(clear(X1),X2)
    | ~ holds(empty,X2)
    | holds(holding(X1),do(pickup(X1),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).

cnf(symmetry_of_differ,axiom,
    ( ~ differ(X2,X1)
    | differ(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).

cnf(differ_a_table,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).

cnf(pickup_3,axiom,
    ( ~ differ(X1,X3)
    | ~ holds(on(X1,X2),X4)
    | holds(on(X1,X2),do(pickup(X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_3) ).

cnf(differ_a_b,axiom,
    differ(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).

cnf(pickup_4,axiom,
    ( ~ differ(X1,X2)
    | ~ holds(clear(X1),X3)
    | holds(clear(X1),do(pickup(X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).

cnf(differ_a_c,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).

cnf(putdown_3,axiom,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(clear(X1),do(putdown(X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_3) ).

cnf(putdown_1,axiom,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(empty,do(putdown(X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_1) ).

cnf(putdown_5,axiom,
    ( ~ differ(X1,X3)
    | ~ holds(clear(X1),X4)
    | holds(clear(X1),do(putdown(X2,X3),X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).

cnf(differ_b_c,axiom,
    differ(b,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).

cnf(differ_c_table,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).

cnf(pickup_2,axiom,
    ( ~ holds(empty,X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(on(X2,X1),X3)
    | holds(clear(X1),do(pickup(X2),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_c_d,axiom,
    differ(c,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).

cnf(differ_b_table,axiom,
    differ(b,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).

cnf(differ_b_d,axiom,
    differ(b,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).

cnf(differ_a_d,axiom,
    differ(a,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).

cnf(initial_state3,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).

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(initial_state8,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).

cnf(c_0_27,negated_conjecture,
    ~ holds(and(on(b,d),on(a,c)),X1),
    inference(fof_simplification,[status(thm)],[prove_BD_AC]) ).

cnf(c_0_28,plain,
    ( ~ holds(X2,X3)
    | ~ holds(X1,X3)
    | holds(and(X1,X2),X3) ),
    inference(fof_simplification,[status(thm)],[and_definition]) ).

cnf(c_0_29,negated_conjecture,
    ~ holds(and(on(b,d),on(a,c)),X1),
    c_0_27 ).

cnf(c_0_30,plain,
    ( ~ holds(X2,X3)
    | ~ holds(X1,X3)
    | holds(and(X1,X2),X3) ),
    c_0_28 ).

cnf(c_0_31,plain,
    ( ~ holds(on(X1,X2),X5)
    | holds(on(X1,X2),do(putdown(X3,X4),X5)) ),
    inference(fof_simplification,[status(thm)],[putdown_4]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ holds(on(b,d),X1)
    | ~ holds(on(a,c),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( ~ holds(on(X1,X2),X5)
    | holds(on(X1,X2),do(putdown(X3,X4),X5)) ),
    c_0_31 ).

cnf(c_0_34,plain,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(on(X1,X2),do(putdown(X1,X2),X3)) ),
    inference(fof_simplification,[status(thm)],[putdown_2]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ holds(on(b,d),X3)
    | ~ holds(on(a,c),do(putdown(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(on(X1,X2),do(putdown(X1,X2),X3)) ),
    c_0_34 ).

cnf(c_0_37,plain,
    ( ~ differ(X1,table)
    | ~ holds(clear(X1),X2)
    | ~ holds(empty,X2)
    | holds(holding(X1),do(pickup(X1),X2)) ),
    inference(fof_simplification,[status(thm)],[pickup_1]) ).

cnf(c_0_38,plain,
    ( ~ differ(X2,X1)
    | differ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[symmetry_of_differ]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ holds(clear(c),X1)
    | ~ holds(holding(a),X1)
    | ~ holds(on(b,d),X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ differ(X1,table)
    | ~ holds(clear(X1),X2)
    | ~ holds(empty,X2)
    | holds(holding(X1),do(pickup(X1),X2)) ),
    c_0_37 ).

cnf(c_0_41,axiom,
    differ(a,table),
    differ_a_table ).

cnf(c_0_42,plain,
    ( ~ differ(X1,X3)
    | ~ holds(on(X1,X2),X4)
    | holds(on(X1,X2),do(pickup(X3),X4)) ),
    inference(fof_simplification,[status(thm)],[pickup_3]) ).

cnf(c_0_43,plain,
    ( ~ differ(X2,X1)
    | differ(X1,X2) ),
    c_0_38 ).

cnf(c_0_44,axiom,
    differ(a,b),
    differ_a_b ).

cnf(c_0_45,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(a),X1)
    | ~ holds(clear(c),do(pickup(a),X1))
    | ~ holds(on(b,d),do(pickup(a),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_46,plain,
    ( ~ differ(X1,X3)
    | ~ holds(on(X1,X2),X4)
    | holds(on(X1,X2),do(pickup(X3),X4)) ),
    c_0_42 ).

cnf(c_0_47,plain,
    differ(b,a),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,plain,
    ( ~ differ(X1,X2)
    | ~ holds(clear(X1),X3)
    | holds(clear(X1),do(pickup(X2),X3)) ),
    inference(fof_simplification,[status(thm)],[pickup_4]) ).

cnf(c_0_49,axiom,
    differ(a,c),
    differ_a_c ).

cnf(c_0_50,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(a),X1)
    | ~ holds(on(b,d),X1)
    | ~ holds(clear(c),do(pickup(a),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).

cnf(c_0_51,plain,
    ( ~ differ(X1,X2)
    | ~ holds(clear(X1),X3)
    | holds(clear(X1),do(pickup(X2),X3)) ),
    c_0_48 ).

cnf(c_0_52,plain,
    differ(c,a),
    inference(spm,[status(thm)],[c_0_43,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(c),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(on(b,d),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_54,plain,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(clear(X1),do(putdown(X1,X2),X3)) ),
    inference(fof_simplification,[status(thm)],[putdown_3]) ).

cnf(c_0_55,plain,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(empty,do(putdown(X1,X2),X3)) ),
    inference(fof_simplification,[status(thm)],[putdown_1]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ holds(on(b,d),X3)
    | ~ holds(empty,do(putdown(X1,X2),X3))
    | ~ holds(clear(c),do(putdown(X1,X2),X3))
    | ~ holds(clear(a),do(putdown(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_33]) ).

cnf(c_0_57,plain,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(clear(X1),do(putdown(X1,X2),X3)) ),
    c_0_54 ).

cnf(c_0_58,plain,
    ( ~ holds(clear(X2),X3)
    | ~ holds(holding(X1),X3)
    | holds(empty,do(putdown(X1,X2),X3)) ),
    c_0_55 ).

cnf(c_0_59,plain,
    ( ~ differ(X1,X3)
    | ~ holds(clear(X1),X4)
    | holds(clear(X1),do(putdown(X2,X3),X4)) ),
    inference(fof_simplification,[status(thm)],[putdown_5]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ holds(clear(X1),X2)
    | ~ holds(holding(c),X2)
    | ~ holds(on(b,d),X2)
    | ~ holds(clear(a),do(putdown(c,X1),X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

cnf(c_0_61,plain,
    ( ~ differ(X1,X3)
    | ~ holds(clear(X1),X4)
    | holds(clear(X1),do(putdown(X2,X3),X4)) ),
    c_0_59 ).

cnf(c_0_62,negated_conjecture,
    ( ~ holds(clear(X1),X2)
    | ~ holds(clear(a),X2)
    | ~ holds(holding(c),X2)
    | ~ holds(on(b,d),X2)
    | ~ differ(a,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ holds(on(b,d),X3)
    | ~ holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(a),do(pickup(X2),X3))
    | ~ holds(holding(c),do(pickup(X2),X3))
    | ~ differ(b,X2)
    | ~ differ(a,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_46]) ).

cnf(c_0_64,axiom,
    differ(b,c),
    differ_b_c ).

cnf(c_0_65,axiom,
    differ(c,table),
    differ_c_table ).

cnf(c_0_66,plain,
    ( ~ holds(empty,X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(on(X2,X1),X3)
    | holds(clear(X1),do(pickup(X2),X3)) ),
    inference(fof_simplification,[status(thm)],[pickup_2]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ holds(empty,X2)
    | ~ holds(clear(c),X2)
    | ~ holds(on(b,d),X2)
    | ~ holds(clear(X1),do(pickup(c),X2))
    | ~ holds(clear(a),do(pickup(c),X2))
    | ~ differ(a,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_64]),c_0_65])]) ).

cnf(c_0_68,plain,
    ( ~ holds(empty,X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(on(X2,X1),X3)
    | holds(clear(X1),do(pickup(X2),X3)) ),
    c_0_66 ).

cnf(c_0_69,negated_conjecture,
    ( ~ holds(empty,X2)
    | ~ holds(clear(c),X2)
    | ~ holds(on(c,a),X2)
    | ~ holds(on(b,d),X2)
    | ~ holds(clear(X1),do(pickup(c),X2))
    | ~ differ(a,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_70,axiom,
    holds(clear(table),X1),
    clear_table ).

cnf(c_0_71,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(c),X1)
    | ~ holds(on(c,a),X1)
    | ~ holds(on(b,d),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_41])]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ holds(on(c,a),X3)
    | ~ holds(empty,do(putdown(X1,X2),X3))
    | ~ holds(clear(c),do(putdown(X1,X2),X3))
    | ~ holds(on(b,d),do(putdown(X1,X2),X3)) ),
    inference(spm,[status(thm)],[c_0_71,c_0_33]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ holds(clear(d),X1)
    | ~ holds(holding(b),X1)
    | ~ holds(on(c,a),X1)
    | ~ holds(clear(c),do(putdown(b,d),X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_36]),c_0_58]) ).

cnf(c_0_74,axiom,
    differ(c,d),
    differ_c_d ).

cnf(c_0_75,negated_conjecture,
    ( ~ holds(clear(c),X1)
    | ~ holds(clear(d),X1)
    | ~ holds(holding(b),X1)
    | ~ holds(on(c,a),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_61]),c_0_74])]) ).

cnf(c_0_76,axiom,
    differ(b,table),
    differ_b_table ).

cnf(c_0_77,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(b),X1)
    | ~ holds(clear(c),do(pickup(b),X1))
    | ~ holds(clear(d),do(pickup(b),X1))
    | ~ holds(on(c,a),do(pickup(b),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_40]),c_0_76])]) ).

cnf(c_0_78,plain,
    differ(c,b),
    inference(spm,[status(thm)],[c_0_43,c_0_64]) ).

cnf(c_0_79,axiom,
    differ(b,d),
    differ_b_d ).

cnf(c_0_80,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(b),X1)
    | ~ holds(on(c,a),X1)
    | ~ holds(clear(c),do(pickup(b),X1))
    | ~ holds(clear(d),do(pickup(b),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_46]),c_0_78])]) ).

cnf(c_0_81,plain,
    differ(d,b),
    inference(spm,[status(thm)],[c_0_43,c_0_79]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(d),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(on(c,a),X1)
    | ~ holds(clear(c),do(pickup(b),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_51]),c_0_81])]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(c),X1)
    | ~ holds(clear(d),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(on(c,a),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_78])]) ).

cnf(c_0_84,axiom,
    differ(a,d),
    differ_a_d ).

cnf(c_0_85,negated_conjecture,
    ( ~ holds(clear(a),X1)
    | ~ holds(holding(c),X1)
    | ~ holds(clear(d),do(putdown(c,a),X1))
    | ~ holds(clear(b),do(putdown(c,a),X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_36]),c_0_58]),c_0_57]) ).

cnf(c_0_86,plain,
    differ(d,a),
    inference(spm,[status(thm)],[c_0_43,c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ holds(clear(d),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(holding(c),X1)
    | ~ holds(clear(b),do(putdown(c,a),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_61]),c_0_86])]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ holds(clear(b),X1)
    | ~ holds(clear(d),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(holding(c),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_61]),c_0_47])]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(c),X1)
    | ~ holds(clear(b),do(pickup(c),X1))
    | ~ holds(clear(d),do(pickup(c),X1))
    | ~ holds(clear(a),do(pickup(c),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_40]),c_0_65])]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(c),X1)
    | ~ holds(on(c,d),X1)
    | ~ holds(clear(b),do(pickup(c),X1))
    | ~ holds(clear(a),do(pickup(c),X1)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_68]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(b),X1)
    | ~ holds(clear(c),X1)
    | ~ holds(on(c,d),X1)
    | ~ holds(clear(a),do(pickup(c),X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_51]),c_0_64])]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ holds(empty,X1)
    | ~ holds(clear(a),X1)
    | ~ holds(clear(b),X1)
    | ~ holds(clear(c),X1)
    | ~ holds(on(c,d),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_51]),c_0_49])]) ).

cnf(c_0_93,axiom,
    holds(on(c,d),s0),
    initial_state3 ).

cnf(c_0_94,axiom,
    holds(clear(c),s0),
    initial_state7 ).

cnf(c_0_95,axiom,
    holds(clear(b),s0),
    initial_state6 ).

cnf(c_0_96,axiom,
    holds(clear(a),s0),
    initial_state5 ).

cnf(c_0_97,axiom,
    holds(empty,s0),
    initial_state8 ).

cnf(c_0_98,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n013.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 03:31:06 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.49  % Version: 3.5.1
% 0.53/0.49  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.53/0.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.49  % Starting new_bool_3 with 300s (1) cores
% 0.53/0.49  % Starting new_bool_1 with 300s (1) cores
% 0.53/0.49  % Starting sh5l with 300s (1) cores
% 0.53/0.49  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4051170 completed with status 0
% 0.53/0.49  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.53/0.49  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.53/0.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.53/0.49  % No SInE strategy applied
% 0.53/0.49  % Search class: FHUNF-FFMM21-SFFFFFNN
% 0.53/0.49  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.53/0.49  % Starting SubtermCWHack with 136s (1) cores
% 0.53/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.53/0.49  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.53/0.49  % Starting new_bool_3 with 136s (1) cores
% 0.53/0.49  % Starting new_bool_1 with 136s (1) cores
% 0.53/0.49  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4051177 completed with status 0
% 0.53/0.49  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.53/0.49  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.53/0.49  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.53/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.53/0.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.53/0.49  % No SInE strategy applied
% 0.53/0.49  % Search class: FHUNF-FFMM21-SFFFFFNN
% 0.53/0.49  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.53/0.49  % Starting SubtermCWHack with 136s (1) cores
% 0.53/0.49  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.53/0.49  % Preprocessing time       : 0.001 s
% 0.53/0.49  % Presaturation interreduction done
% 0.53/0.49  
% 0.53/0.49  % Proof found!
% 0.53/0.49  % SZS status Unsatisfiable
% 0.53/0.49  % SZS output start CNFRefutation
% See solution above
% 0.53/0.49  % Parsed axioms                        : 31
% 0.53/0.49  % Removed by relevancy pruning/SinE    : 0
% 0.53/0.49  % Initial clauses                      : 31
% 0.53/0.49  % Removed in clause preprocessing      : 0
% 0.53/0.49  % Initial clauses in saturation        : 31
% 0.53/0.49  % Processed clauses                    : 515
% 0.53/0.49  % ...of these trivial                  : 0
% 0.53/0.49  % ...subsumed                          : 69
% 0.53/0.49  % ...remaining for further processing  : 446
% 0.53/0.49  % Other redundant clauses eliminated   : 0
% 0.53/0.49  % Clauses deleted for lack of memory   : 0
% 0.53/0.49  % Backward-subsumed                    : 22
% 0.53/0.49  % Backward-rewritten                   : 0
% 0.53/0.49  % Generated clauses                    : 631
% 0.53/0.49  % ...of the previous two non-redundant : 617
% 0.53/0.49  % ...aggressively subsumed             : 0
% 0.53/0.49  % Contextual simplify-reflections      : 71
% 0.53/0.49  % Paramodulations                      : 631
% 0.53/0.49  % Factorizations                       : 0
% 0.53/0.49  % NegExts                              : 0
% 0.53/0.49  % Equation resolutions                 : 0
% 0.53/0.49  % Disequality decompositions           : 0
% 0.53/0.49  % Total rewrite steps                  : 155
% 0.53/0.49  % ...of those cached                   : 135
% 0.53/0.49  % Propositional unsat checks           : 0
% 0.53/0.49  %    Propositional check models        : 0
% 0.53/0.49  %    Propositional check unsatisfiable : 0
% 0.53/0.49  %    Propositional clauses             : 0
% 0.53/0.49  %    Propositional clauses after purity: 0
% 0.53/0.49  %    Propositional unsat core size     : 0
% 0.53/0.49  %    Propositional preprocessing time  : 0.000
% 0.53/0.49  %    Propositional encoding time       : 0.000
% 0.53/0.49  %    Propositional solver time         : 0.000
% 0.53/0.49  %    Success case prop preproc time    : 0.000
% 0.53/0.49  %    Success case prop encoding time   : 0.000
% 0.53/0.49  %    Success case prop solver time     : 0.000
% 0.53/0.49  % Current number of processed clauses  : 393
% 0.53/0.49  %    Positive orientable unit clauses  : 29
% 0.53/0.49  %    Positive unorientable unit clauses: 0
% 0.53/0.49  %    Negative unit clauses             : 2
% 0.53/0.49  %    Non-unit-clauses                  : 362
% 0.53/0.49  % Current number of unprocessed clauses: 160
% 0.53/0.49  % ...number of literals in the above   : 1139
% 0.53/0.49  % Current number of archived formulas  : 0
% 0.53/0.49  % Current number of archived clauses   : 53
% 0.53/0.49  % Clause-clause subsumption calls (NU) : 108982
% 0.53/0.49  % Rec. Clause-clause subsumption calls : 1320
% 0.53/0.49  % Non-unit clause-clause subsumptions  : 160
% 0.53/0.49  % Unit Clause-clause subsumption calls : 277
% 0.53/0.49  % Rewrite failures with RHS unbound    : 0
% 0.53/0.49  % BW rewrite match attempts            : 0
% 0.53/0.49  % BW rewrite match successes           : 0
% 0.53/0.49  % Condensation attempts                : 0
% 0.53/0.49  % Condensation successes               : 0
% 0.53/0.49  % Termbank termtop insertions          : 30983
% 0.53/0.49  % Search garbage collected termcells   : 55
% 0.53/0.49  
% 0.53/0.49  % -------------------------------------------------
% 0.53/0.49  % User time                : 0.042 s
% 0.53/0.49  % System time              : 0.005 s
% 0.53/0.49  % Total time               : 0.047 s
% 0.53/0.49  % Maximum resident set size: 3404 pages
% 0.53/0.49  
% 0.53/0.49  % -------------------------------------------------
% 0.53/0.49  % User time                : 0.215 s
% 0.53/0.49  % System time              : 0.028 s
% 0.53/0.49  % Total time               : 0.243 s
% 0.53/0.49  % Maximum resident set size: 4608 pages
% 0.53/0.49  % E exiting
%------------------------------------------------------------------------------