TSTP Solution File: PLA008-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 13:01:35 EDT 2023

% Result   : Unsatisfiable 9.61s 2.16s
% Output   : CNFRefutation 9.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  130 (  26 unt;   0 nHn; 124 RR)
%            Number of literals    :  489 (   0 equ; 436 neg)
%            Maximal clause size   :    8 (   3 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   :  167 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ holds(and(on(b,d),on(a,c)),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_BD_AC) ).

cnf(c_50,plain,
    ( ~ differ(X0,X1)
    | differ(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).

cnf(c_51,plain,
    differ(a,b),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).

cnf(c_52,plain,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).

cnf(c_53,plain,
    differ(a,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).

cnf(c_54,plain,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).

cnf(c_55,plain,
    differ(b,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).

cnf(c_56,plain,
    differ(b,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).

cnf(c_57,plain,
    differ(b,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).

cnf(c_58,plain,
    differ(c,d),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).

cnf(c_59,plain,
    differ(c,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).

cnf(c_60,plain,
    differ(d,table),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).

cnf(c_63,plain,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).

cnf(c_65,plain,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).

cnf(c_66,plain,
    holds(clear(b),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state6) ).

cnf(c_67,plain,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).

cnf(c_68,plain,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).

cnf(c_69,plain,
    holds(clear(table),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',clear_table) ).

cnf(c_70,plain,
    ( ~ holds(X0,X1)
    | ~ holds(X2,X1)
    | holds(and(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',and_definition) ).

cnf(c_71,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(empty,X1)
    | ~ differ(X0,table)
    | holds(holding(X0),do(pickup(X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).

cnf(c_72,plain,
    ( ~ holds(on(X0,X1),X2)
    | ~ holds(clear(X0),X2)
    | ~ holds(empty,X2)
    | holds(clear(X1),do(pickup(X0),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_2) ).

cnf(c_73,plain,
    ( ~ holds(on(X0,X1),X2)
    | ~ differ(X0,X3)
    | holds(on(X0,X1),do(pickup(X3),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_3) ).

cnf(c_74,plain,
    ( ~ holds(clear(X0),X1)
    | ~ differ(X0,X2)
    | holds(clear(X0),do(pickup(X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_4) ).

cnf(c_75,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(empty,do(putdown(X2,X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_1) ).

cnf(c_76,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(on(X2,X0),do(putdown(X2,X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_2) ).

cnf(c_77,plain,
    ( ~ holds(clear(X0),X1)
    | ~ holds(holding(X2),X1)
    | holds(clear(X2),do(putdown(X2,X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_3) ).

cnf(c_78,plain,
    ( ~ holds(on(X0,X1),X2)
    | holds(on(X0,X1),do(putdown(X3,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_4) ).

cnf(c_79,plain,
    ( ~ holds(clear(X0),X1)
    | ~ differ(X0,X2)
    | holds(clear(X0),do(putdown(X3,X2),X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).

cnf(c_198,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ differ(X0_15,X1_15)
    | holds(clear(X0_15),do(putdown(X2_15,X1_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_79]) ).

cnf(c_199,plain,
    ( ~ holds(on(X0_15,X1_15),X0_14)
    | holds(on(X0_15,X1_15),do(putdown(X2_15,X3_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_78]) ).

cnf(c_200,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(X1_15),X0_14)
    | holds(clear(X1_15),do(putdown(X1_15,X0_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_77]) ).

cnf(c_201,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(X1_15),X0_14)
    | holds(on(X1_15,X0_15),do(putdown(X1_15,X0_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_76]) ).

cnf(c_202,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(X1_15),X0_14)
    | holds(empty,do(putdown(X1_15,X0_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_75]) ).

cnf(c_203,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ differ(X0_15,X1_15)
    | holds(clear(X0_15),do(pickup(X1_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_74]) ).

cnf(c_204,plain,
    ( ~ holds(on(X0_15,X1_15),X0_14)
    | ~ differ(X0_15,X2_15)
    | holds(on(X0_15,X1_15),do(pickup(X2_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_73]) ).

cnf(c_205,plain,
    ( ~ holds(on(X0_15,X1_15),X0_14)
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(empty,X0_14)
    | holds(clear(X1_15),do(pickup(X0_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_72]) ).

cnf(c_206,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(X0_15,table)
    | holds(holding(X0_15),do(pickup(X0_15),X0_14)) ),
    inference(subtyping,[status(esa)],[c_71]) ).

cnf(c_207,plain,
    ( ~ holds(X0_13,X0_14)
    | ~ holds(X1_13,X0_14)
    | holds(and(X0_13,X1_13),X0_14) ),
    inference(subtyping,[status(esa)],[c_70]) ).

cnf(c_208,plain,
    holds(clear(table),X0_14),
    inference(subtyping,[status(esa)],[c_69]) ).

cnf(c_219,plain,
    differ(c,d),
    inference(subtyping,[status(esa)],[c_58]) ).

cnf(c_221,plain,
    differ(b,d),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_224,plain,
    differ(a,d),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_227,plain,
    ( ~ differ(X0_15,X1_15)
    | differ(X1_15,X0_15) ),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_228,negated_conjecture,
    ~ holds(and(on(b,d),on(a,c)),X0_14),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_305,plain,
    ( ~ differ(a,c)
    | differ(c,a) ),
    inference(instantiation,[status(thm)],[c_227]) ).

cnf(c_376,plain,
    ( ~ differ(a,b)
    | differ(b,a) ),
    inference(instantiation,[status(thm)],[c_227]) ).

cnf(c_522,plain,
    ( ~ holds(clear(a),X0_14)
    | ~ differ(a,c)
    | holds(clear(a),do(pickup(c),X0_14)) ),
    inference(instantiation,[status(thm)],[c_203]) ).

cnf(c_523,plain,
    ( ~ holds(clear(a),s0)
    | ~ differ(a,c)
    | holds(clear(a),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[c_522]) ).

cnf(c_528,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ differ(b,c)
    | holds(clear(b),do(pickup(c),X0_14)) ),
    inference(instantiation,[status(thm)],[c_203]) ).

cnf(c_529,plain,
    ( ~ holds(clear(b),s0)
    | ~ differ(b,c)
    | holds(clear(b),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[c_528]) ).

cnf(c_692,plain,
    ( ~ holds(on(c,d),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | holds(clear(d),do(pickup(c),s0)) ),
    inference(instantiation,[status(thm)],[c_205]) ).

cnf(c_714,plain,
    differ(d,a),
    inference(superposition,[status(thm)],[c_224,c_227]) ).

cnf(c_717,plain,
    differ(d,b),
    inference(superposition,[status(thm)],[c_221,c_227]) ).

cnf(c_719,plain,
    differ(d,c),
    inference(superposition,[status(thm)],[c_219,c_227]) ).

cnf(c_832,plain,
    ( ~ holds(on(b,d),X0_14)
    | ~ holds(on(a,c),X0_14) ),
    inference(superposition,[status(thm)],[c_207,c_228]) ).

cnf(c_859,plain,
    ( ~ holds(on(a,c),do(putdown(b,d),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(holding(b),X0_14) ),
    inference(superposition,[status(thm)],[c_201,c_832]) ).

cnf(c_931,plain,
    ( ~ holds(on(a,c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(holding(b),X0_14) ),
    inference(superposition,[status(thm)],[c_199,c_859]) ).

cnf(c_940,plain,
    ( ~ holds(clear(d),do(pickup(X0_15),X0_14))
    | ~ holds(holding(b),do(pickup(X0_15),X0_14))
    | ~ holds(on(a,c),X0_14)
    | ~ differ(a,X0_15) ),
    inference(superposition,[status(thm)],[c_204,c_931]) ).

cnf(c_1088,plain,
    ( ~ holds(holding(b),do(pickup(X0_15),X0_14))
    | ~ holds(on(a,c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ differ(d,X0_15)
    | ~ differ(a,X0_15) ),
    inference(superposition,[status(thm)],[c_203,c_940]) ).

cnf(c_1199,plain,
    ( ~ holds(on(b,d),X0_14)
    | ~ holds(on(a,c),X0_14) ),
    inference(resolution,[status(thm)],[c_228,c_207]) ).

cnf(c_1220,plain,
    ( ~ holds(on(a,c),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(b,table)
    | ~ differ(d,b)
    | ~ differ(a,b) ),
    inference(superposition,[status(thm)],[c_206,c_1088]) ).

cnf(c_1228,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(on(a,c),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_1220,c_57,c_51,c_717,c_1220]) ).

cnf(c_1229,plain,
    ( ~ holds(on(a,c),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_1228]) ).

cnf(c_1340,plain,
    ( ~ holds(on(b,d),do(putdown(X0_15,X1_15),X0_14))
    | ~ holds(on(a,c),X0_14) ),
    inference(resolution,[status(thm)],[c_1199,c_199]) ).

cnf(c_1560,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(clear(d),do(putdown(a,c),X0_14))
    | ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(superposition,[status(thm)],[c_201,c_1229]) ).

cnf(c_1688,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14)
    | ~ differ(d,c) ),
    inference(superposition,[status(thm)],[c_198,c_1560]) ).

cnf(c_1773,plain,
    ( ~ holds(on(a,c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(holding(b),X0_14) ),
    inference(resolution,[status(thm)],[c_201,c_1340]) ).

cnf(c_1859,plain,
    ( ~ holds(clear(d),do(pickup(X0_15),X0_14))
    | ~ holds(holding(b),do(pickup(X0_15),X0_14))
    | ~ holds(on(a,c),X0_14)
    | ~ differ(a,X0_15) ),
    inference(resolution,[status(thm)],[c_1773,c_204]) ).

cnf(c_2006,plain,
    ( ~ holds(holding(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(b),do(putdown(a,c),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_1688,c_719,c_1688]) ).

cnf(c_2007,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(renaming,[status(thm)],[c_2006]) ).

cnf(c_2009,plain,
    ( ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14)
    | ~ differ(b,c) ),
    inference(superposition,[status(thm)],[c_198,c_2007]) ).

cnf(c_2145,plain,
    ( ~ holds(clear(d),do(pickup(b),X0_14))
    | ~ holds(on(a,c),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(b,table)
    | ~ differ(a,b) ),
    inference(resolution,[status(thm)],[c_1859,c_206]) ).

cnf(c_2289,plain,
    ( ~ holds(clear(d),do(pickup(b),X0_14))
    | ~ holds(on(a,c),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_2145,c_57,c_51,c_2145]) ).

cnf(c_2308,plain,
    ( ~ holds(on(a,c),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(d,b) ),
    inference(resolution,[status(thm)],[c_2289,c_203]) ).

cnf(c_2349,plain,
    ( ~ holds(holding(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(empty,do(putdown(a,c),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_2009,c_55,c_2009]) ).

cnf(c_2350,plain,
    ( ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(renaming,[status(thm)],[c_2349]) ).

cnf(c_2352,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(superposition,[status(thm)],[c_202,c_2350]) ).

cnf(c_2385,plain,
    ( ~ holds(clear(b),do(pickup(X0_15),X0_14))
    | ~ holds(clear(d),do(pickup(X0_15),X0_14))
    | ~ holds(holding(a),do(pickup(X0_15),X0_14))
    | ~ holds(clear(c),X0_14)
    | ~ differ(c,X0_15) ),
    inference(superposition,[status(thm)],[c_203,c_2352]) ).

cnf(c_2391,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(on(a,c),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_2308,c_1229]) ).

cnf(c_2392,plain,
    ( ~ holds(on(a,c),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_2391]) ).

cnf(c_2446,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(clear(d),do(putdown(a,c),X0_14))
    | ~ holds(empty,do(putdown(a,c),X0_14))
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(resolution,[status(thm)],[c_2392,c_201]) ).

cnf(c_2825,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(clear(d),do(putdown(a,c),X0_14))
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2446,c_202]) ).

cnf(c_2839,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14)
    | ~ differ(d,c) ),
    inference(resolution,[status(thm)],[c_2825,c_198]) ).

cnf(c_3060,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(a,table)
    | ~ differ(c,a) ),
    inference(superposition,[status(thm)],[c_206,c_2385]) ).

cnf(c_3067,plain,
    ( ~ holds(holding(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),do(putdown(a,c),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_2839,c_719,c_2839]) ).

cnf(c_3068,plain,
    ( ~ holds(clear(b),do(putdown(a,c),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(renaming,[status(thm)],[c_3067]) ).

cnf(c_3096,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14)
    | ~ differ(b,c) ),
    inference(resolution,[status(thm)],[c_3068,c_198]) ).

cnf(c_3333,plain,
    ( ~ holds(holding(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_3096,c_2352]) ).

cnf(c_3334,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(holding(a),X0_14) ),
    inference(renaming,[status(thm)],[c_3333]) ).

cnf(c_3351,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(c),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(a,table) ),
    inference(resolution,[status(thm)],[c_3334,c_206]) ).

cnf(c_3946,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(b),do(pickup(a),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_3351,c_54,c_3351]) ).

cnf(c_3947,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(c),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_3946]) ).

cnf(c_3969,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(c,a) ),
    inference(resolution,[status(thm)],[c_3947,c_203]) ).

cnf(c_4237,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(b),do(pickup(a),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_3969,c_54,c_52,c_305,c_3060]) ).

cnf(c_4238,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_4237]) ).

cnf(c_4260,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(d,a) ),
    inference(resolution,[status(thm)],[c_4238,c_203]) ).

cnf(c_4709,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_3060,c_52,c_305,c_3969]) ).

cnf(c_4711,plain,
    ( ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(b,a) ),
    inference(superposition,[status(thm)],[c_203,c_4709]) ).

cnf(c_5030,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),do(pickup(a),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_4260,c_714,c_4260]) ).

cnf(c_5031,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_5030]) ).

cnf(c_5057,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(b,a) ),
    inference(resolution,[status(thm)],[c_5031,c_203]) ).

cnf(c_6969,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_5057,c_51,c_376,c_5057]) ).

cnf(c_6970,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_6969]) ).

cnf(c_7004,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(d),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(a),do(putdown(c,X0_15),X0_14))
    | ~ holds(empty,do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(resolution,[status(thm)],[c_6970,c_200]) ).

cnf(c_9795,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(d),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(a),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7004,c_202]) ).

cnf(c_10352,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(d),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(a,X0_15) ),
    inference(resolution,[status(thm)],[c_9795,c_198]) ).

cnf(c_11233,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(a,table)
    | ~ differ(c,a) ),
    inference(superposition,[status(thm)],[c_206,c_2385]) ).

cnf(c_11265,plain,
    ( ~ holds(clear(b),do(pickup(a),X0_14))
    | ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_11233,c_52,c_305,c_3969]) ).

cnf(c_11267,plain,
    ( ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(b,a) ),
    inference(superposition,[status(thm)],[c_203,c_11265]) ).

cnf(c_11269,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),do(pickup(a),X0_14)) ),
    inference(global_subsumption_just,[status(thm)],[c_11267,c_51,c_376,c_4711]) ).

cnf(c_11270,plain,
    ( ~ holds(clear(d),do(pickup(a),X0_14))
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_11269]) ).

cnf(c_11271,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(d,a) ),
    inference(superposition,[status(thm)],[c_203,c_11270]) ).

cnf(c_11291,plain,
    ( ~ holds(empty,X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_11271,c_51,c_376,c_5057]) ).

cnf(c_11292,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14) ),
    inference(renaming,[status(thm)],[c_11291]) ).

cnf(c_11295,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(d),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(a),do(putdown(c,X0_15),X0_14))
    | ~ holds(empty,do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(superposition,[status(thm)],[c_200,c_11292]) ).

cnf(c_11698,plain,
    ( ~ holds(clear(a),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(d),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_11295,c_9795]) ).

cnf(c_11699,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(d),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(a),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(renaming,[status(thm)],[c_11698]) ).

cnf(c_11700,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(a),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(d,X0_15) ),
    inference(superposition,[status(thm)],[c_198,c_11699]) ).

cnf(c_11789,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(d,X0_15)
    | ~ differ(a,X0_15) ),
    inference(superposition,[status(thm)],[c_198,c_11700]) ).

cnf(c_14835,plain,
    ( ~ holds(clear(b),do(putdown(c,X0_15),X0_14))
    | ~ holds(clear(X0_15),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(d,X0_15)
    | ~ differ(a,X0_15) ),
    inference(resolution,[status(thm)],[c_10352,c_198]) ).

cnf(c_16087,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(b,X0_15)
    | ~ differ(d,X0_15)
    | ~ differ(a,X0_15) ),
    inference(superposition,[status(thm)],[c_198,c_11789]) ).

cnf(c_18116,plain,
    ( ~ holds(clear(X0_15),X0_14)
    | ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(b,X0_15)
    | ~ differ(d,X0_15)
    | ~ differ(a,X0_15) ),
    inference(resolution,[status(thm)],[c_14835,c_198]) ).

cnf(c_20116,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14)
    | ~ differ(b,table)
    | ~ differ(d,table)
    | ~ differ(a,table) ),
    inference(superposition,[status(thm)],[c_208,c_16087]) ).

cnf(c_20432,plain,
    ( ~ holds(holding(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_20116,c_60,c_57,c_54,c_20116]) ).

cnf(c_20433,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(renaming,[status(thm)],[c_20432]) ).

cnf(c_23295,plain,
    ( ~ holds(holding(c),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(b),X0_14) ),
    inference(global_subsumption_just,[status(thm)],[c_18116,c_20433]) ).

cnf(c_23296,plain,
    ( ~ holds(clear(b),X0_14)
    | ~ holds(clear(d),X0_14)
    | ~ holds(clear(a),X0_14)
    | ~ holds(holding(c),X0_14) ),
    inference(renaming,[status(thm)],[c_23295]) ).

cnf(c_23334,plain,
    ( ~ holds(clear(b),do(pickup(c),X0_14))
    | ~ holds(clear(d),do(pickup(c),X0_14))
    | ~ holds(clear(a),do(pickup(c),X0_14))
    | ~ holds(clear(c),X0_14)
    | ~ holds(empty,X0_14)
    | ~ differ(c,table) ),
    inference(resolution,[status(thm)],[c_23296,c_206]) ).

cnf(c_23335,plain,
    ( ~ holds(clear(b),do(pickup(c),s0))
    | ~ holds(clear(d),do(pickup(c),s0))
    | ~ holds(clear(a),do(pickup(c),s0))
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ differ(c,table) ),
    inference(instantiation,[status(thm)],[c_23334]) ).

cnf(c_23336,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_23335,c_692,c_529,c_523,c_63,c_65,c_66,c_67,c_52,c_55,c_59,c_68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.35  % Computer : n010.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sun Aug 27 06:01:35 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.61/2.16  % SZS status Started for theBenchmark.p
% 9.61/2.16  % SZS status Unsatisfiable for theBenchmark.p
% 9.61/2.16  
% 9.61/2.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.61/2.16  
% 9.61/2.16  ------  iProver source info
% 9.61/2.16  
% 9.61/2.16  git: date: 2023-05-31 18:12:56 +0000
% 9.61/2.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.61/2.16  git: non_committed_changes: false
% 9.61/2.16  git: last_make_outside_of_git: false
% 9.61/2.16  
% 9.61/2.16  ------ Parsing...successful
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.61/2.16  
% 9.61/2.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.61/2.16  ------ Proving...
% 9.61/2.16  ------ Problem Properties 
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  clauses                                 31
% 9.61/2.16  conjectures                             1
% 9.61/2.16  EPR                                     12
% 9.61/2.16  Horn                                    31
% 9.61/2.16  unary                                   20
% 9.61/2.16  binary                                  2
% 9.61/2.16  lits                                    53
% 9.61/2.16  lits eq                                 0
% 9.61/2.16  fd_pure                                 0
% 9.61/2.16  fd_pseudo                               0
% 9.61/2.16  fd_cond                                 0
% 9.61/2.16  fd_pseudo_cond                          0
% 9.61/2.16  AC symbols                              0
% 9.61/2.16  
% 9.61/2.16  ------ Input Options Time Limit: Unbounded
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  ------ 
% 9.61/2.16  Current options:
% 9.61/2.16  ------ 
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  ------ Proving...
% 9.61/2.16  
% 9.61/2.16  
% 9.61/2.16  % SZS status Unsatisfiable for theBenchmark.p
% 9.61/2.16  
% 9.61/2.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.61/2.17  
% 9.61/2.17  
%------------------------------------------------------------------------------