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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PLA012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n018.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 : Fri Sep 25 02:30:59 PM UTC 2026

% Result   : Unsatisfiable 3.01s 1.19s
% Output   : CNFRefutation 3.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   89 (  32 unt;   3 def)
%            Number of atoms       :  273 (   3 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  341 ( 186   ~; 155   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :  129 (   0 sgn 129   !;   0   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(X1,X2)
      | ~ holds(X0,X2)
      | holds(and(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',and_definition) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ differ(X0,table)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | holds(holding(X0),do(pickup(X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_1) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(empty,X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(on(X1,X0),X2)
      | holds(clear(X0),do(pickup(X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_2) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ differ(X0,X2)
      | ~ holds(on(X0,X1),X3)
      | holds(on(X0,X1),do(pickup(X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_3) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ differ(X0,X1)
      | ~ holds(clear(X0),X2)
      | holds(clear(X0),do(pickup(X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',pickup_4) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(empty,do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_1) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_2) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(clear(X0),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_3) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ holds(on(X0,X1),X4)
      | holds(on(X0,X1),do(putdown(X2,X3),X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ differ(X0,X2)
      | ~ holds(clear(X0),X3)
      | holds(clear(X0),do(putdown(X1,X2),X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_5) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ differ(X1,X0)
      | differ(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).

fof(f17,axiom,
    differ(b,d),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).

fof(f18,axiom,
    differ(b,table),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state3) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state6) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state7) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state8) ).

fof(f30,axiom,
    ! [X0] : holds(clear(table),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',clear_table) ).

fof(f31,negated_conjecture,
    ! [X0] : ~ holds(and(on(d,b),on(b,c)),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_DBC) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(and(X0,X2),X1)
      | ~ holds(X2,X1)
      | ~ holds(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] :
      ( holds(holding(X0),do(pickup(X0),X1))
      | ~ differ(X0,table)
      | ~ holds(empty,X1)
      | ~ holds(clear(X0),X1) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ holds(on(X0,X1),X2) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( holds(on(X0,X1),do(pickup(X3),X2))
      | ~ differ(X0,X3)
      | ~ holds(on(X0,X1),X2) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(clear(X0),do(pickup(X2),X1))
      | ~ differ(X0,X2)
      | ~ holds(clear(X0),X1) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(empty,do(putdown(X2,X0),X1))
      | ~ holds(holding(X2),X1)
      | ~ holds(clear(X0),X1) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(on(X2,X0),do(putdown(X2,X0),X1))
      | ~ holds(holding(X2),X1)
      | ~ holds(clear(X0),X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(clear(X2),do(putdown(X2,X0),X1))
      | ~ holds(holding(X2),X1)
      | ~ holds(clear(X0),X1) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( holds(on(X0,X1),do(putdown(X3,X4),X2))
      | ~ holds(on(X0,X1),X2) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( holds(clear(X0),do(putdown(X3,X2),X1))
      | ~ differ(X0,X2)
      | ~ holds(clear(X0),X1) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] :
      ( differ(X1,X0)
      | ~ differ(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_95,plain,
    differ(b,c),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_96,plain,
    differ(b,d),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_97,plain,
    differ(b,table),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_98,plain,
    differ(c,d),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_99,plain,
    differ(c,table),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_100,plain,
    differ(d,table),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_103,plain,
    holds(on(c,d),s0),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_106,plain,
    holds(clear(b),s0),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_107,plain,
    holds(clear(c),s0),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_108,plain,
    holds(empty,s0),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_109,plain,
    ! [X0: $i] : holds(clear(table),X0),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_110,negated_conjecture,
    ! [X0: $i] : ~ holds(and(on(d,b),on(b,c)),X0),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_229,definition,
    iPr_def_10 = on(d,b),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_230,definition,
    iPr_def_11 = on(b,c),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_231,definition,
    iPr_def_12 = and(iPr_def_10,iPr_def_11),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] : ~ holds(iPr_def_12,X0),
    inference(demodulation,[status(thm)],[c_110,c_230,c_229,c_231]) ).

tcf(c_569,plain,
    differ(c,b),
    inference(superposition,[status(thm)],[c_95,c_90]) ).

tcf(c_570,plain,
    differ(d,b),
    inference(superposition,[status(thm)],[c_96,c_90]) ).

tcf(c_572,plain,
    differ(d,c),
    inference(superposition,[status(thm)],[c_98,c_90]) ).

tcf(c_582,plain,
    ! [X0: $i] :
      ( holds(iPr_def_12,X0)
      | ~ holds(iPr_def_11,X0)
      | ~ holds(iPr_def_10,X0) ),
    inference(superposition,[status(thm)],[c_231,c_80]) ).

tcf(c_583,plain,
    ! [X0: $i] :
      ( ~ holds(iPr_def_11,X0)
      | ~ holds(iPr_def_10,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_582,c_232]) ).

tcf(c_592,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(iPr_def_11,do(putdown(X1,X2),X0))
      | ~ holds(on(b,c),X0) ),
    inference(superposition,[status(thm)],[c_230,c_88]) ).

tcf(c_593,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( holds(iPr_def_11,do(putdown(X1,X2),X0))
      | ~ holds(iPr_def_11,X0) ),
    inference(light_normalisation,[status(thm)],[c_592,c_230]) ).

tcf(c_656,plain,
    ! [X0: $i,X1: $i] :
      ( holds(iPr_def_11,do(pickup(X1),X0))
      | ~ differ(b,X1)
      | ~ holds(on(b,c),X0) ),
    inference(superposition,[status(thm)],[c_230,c_83]) ).

tcf(c_657,plain,
    ! [X0: $i,X1: $i] :
      ( holds(iPr_def_11,do(pickup(X1),X0))
      | ~ differ(b,X1)
      | ~ holds(iPr_def_11,X0) ),
    inference(light_normalisation,[status(thm)],[c_656,c_230]) ).

tcf(c_679,plain,
    ! [X0: $i] :
      ( holds(iPr_def_10,do(putdown(d,b),X0))
      | ~ holds(holding(d),X0)
      | ~ holds(clear(b),X0) ),
    inference(superposition,[status(thm)],[c_229,c_86]) ).

tcf(c_680,plain,
    ! [X0: $i] :
      ( holds(iPr_def_11,do(putdown(b,c),X0))
      | ~ holds(holding(b),X0)
      | ~ holds(clear(c),X0) ),
    inference(superposition,[status(thm)],[c_230,c_86]) ).

tcf(c_727,plain,
    ! [X0: $i] :
      ( ~ holds(holding(d),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(iPr_def_11,do(putdown(d,b),X0)) ),
    inference(superposition,[status(thm)],[c_679,c_583]) ).

tcf(c_738,plain,
    ! [X0: $i] :
      ( ~ holds(iPr_def_11,X0)
      | ~ holds(holding(d),X0)
      | ~ holds(clear(b),X0) ),
    inference(superposition,[status(thm)],[c_593,c_727]) ).

tcf(c_750,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(b,X0)
      | ~ holds(clear(b),X1)
      | ~ holds(iPr_def_11,do(pickup(X0),X1))
      | ~ holds(holding(d),do(pickup(X0),X1)) ),
    inference(superposition,[status(thm)],[c_84,c_738]) ).

tcf(c_782,plain,
    ! [X0: $i] :
      ( ~ differ(b,d)
      | ~ differ(d,table)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(iPr_def_11,do(pickup(d),X0)) ),
    inference(superposition,[status(thm)],[c_81,c_750]) ).

tcf(c_783,plain,
    ! [X0: $i] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(iPr_def_11,do(pickup(d),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_782,c_96,c_100]) ).

tcf(c_813,plain,
    ! [X0: $i] :
      ( ~ differ(b,d)
      | ~ holds(iPr_def_11,X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(superposition,[status(thm)],[c_657,c_783]) ).

tcf(c_814,plain,
    ! [X0: $i] :
      ( ~ holds(iPr_def_11,X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_813,c_96]) ).

tcf(c_830,plain,
    ! [X0: $i,X1: $i] :
      ( ~ holds(holding(b),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(iPr_def_11,do(putdown(b,X0),X1))
      | ~ holds(empty,do(putdown(b,X0),X1))
      | ~ holds(clear(d),do(putdown(b,X0),X1)) ),
    inference(superposition,[status(thm)],[c_87,c_814]) ).

tcf(c_1163,plain,
    ! [X0: $i,X1: $i] :
      ( ~ holds(holding(b),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(iPr_def_11,do(putdown(b,X0),X1))
      | ~ holds(clear(d),do(putdown(b,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_830,c_85]) ).

tcf(c_1176,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(d,X0)
      | ~ holds(holding(b),X1)
      | ~ holds(clear(d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(iPr_def_11,do(putdown(b,X0),X1)) ),
    inference(superposition,[status(thm)],[c_89,c_1163]) ).

tcf(c_1212,plain,
    ! [X0: $i] :
      ( ~ differ(d,c)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(d),X0) ),
    inference(superposition,[status(thm)],[c_680,c_1176]) ).

tcf(c_1213,plain,
    ! [X0: $i] :
      ( ~ holds(holding(b),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(d),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1212,c_572]) ).

tcf(c_1264,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(c,X0)
      | ~ holds(clear(c),X1)
      | ~ holds(holding(b),do(pickup(X0),X1))
      | ~ holds(clear(d),do(pickup(X0),X1)) ),
    inference(superposition,[status(thm)],[c_84,c_1213]) ).

tcf(c_1649,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(c,X0)
      | ~ differ(d,X0)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(d),X1)
      | ~ holds(holding(b),do(pickup(X0),X1)) ),
    inference(superposition,[status(thm)],[c_84,c_1264]) ).

tcf(c_1960,plain,
    ! [X0: $i] :
      ( ~ differ(c,b)
      | ~ differ(b,table)
      | ~ differ(d,b)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(superposition,[status(thm)],[c_81,c_1649]) ).

tcf(c_1961,plain,
    ! [X0: $i] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1960,c_569,c_97,c_570]) ).

tcf(c_1979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ differ(b,X1)
      | ~ holds(clear(b),X2)
      | ~ holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_89,c_1961]) ).

tcf(c_4036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ differ(b,X1)
      | ~ differ(d,X1)
      | ~ holds(clear(b),X2)
      | ~ holds(clear(d),X2)
      | ~ holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),X2)) ),
    inference(superposition,[status(thm)],[c_89,c_1979]) ).

tcf(c_4960,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ holds(holding(c),X1)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,do(putdown(c,X0),X1)) ),
    inference(superposition,[status(thm)],[c_87,c_4036]) ).

tcf(c_7059,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ holds(holding(c),X1)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(d),X1)
      | ~ holds(clear(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4960,c_85]) ).

tcf(c_7081,plain,
    ! [X0: $i] :
      ( ~ differ(b,table)
      | ~ differ(d,table)
      | ~ holds(holding(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(superposition,[status(thm)],[c_109,c_7059]) ).

tcf(c_7086,plain,
    ! [X0: $i] :
      ( ~ holds(holding(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7081,c_97,c_100]) ).

tcf(c_7140,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(b,X0)
      | ~ holds(clear(b),X1)
      | ~ holds(holding(c),do(pickup(X0),X1))
      | ~ holds(clear(d),do(pickup(X0),X1)) ),
    inference(superposition,[status(thm)],[c_84,c_7086]) ).

tcf(c_7182,plain,
    ! [X0: $i,X1: $i] :
      ( ~ differ(b,X0)
      | ~ holds(empty,X1)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(on(X0,d),X1)
      | ~ holds(holding(c),do(pickup(X0),X1)) ),
    inference(superposition,[status(thm)],[c_82,c_7140]) ).

tcf(c_7851,plain,
    ! [X0: $i] :
      ( ~ differ(c,table)
      | ~ differ(b,c)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(on(c,d),X0) ),
    inference(superposition,[status(thm)],[c_81,c_7182]) ).

tcf(c_7852,plain,
    ! [X0: $i] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(on(c,d),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7851,c_99,c_95]) ).

tcf(c_7887,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(c),s0)
    | ~ holds(clear(b),s0) ),
    inference(superposition,[status(thm)],[c_103,c_7852]) ).

tcf(c_7891,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7887,c_108,c_107,c_106]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37  % Computer : n018.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Thu Sep 24 06:12:18 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41  Running first-order theorem proving
% 0.08/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.42  
% 0.08/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42  
% 0.08/0.42  % Detected problem language: tptp
% 0.08/0.43  % Proving...
% 3.01/1.19  % SZS status Started for theBenchmark.p
% 3.01/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.19  
% 3.01/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.01/1.19  
% 3.01/1.19  % ------  iProver source info
% 3.01/1.19  
% 3.01/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.01/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.01/1.19  % git: non_committed_changes: false
% 3.01/1.19  
% 3.01/1.19  % ------ Parsing...% successful
% 3.01/1.19  
% 3.01/1.19  
% 3.01/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.01/1.19  
% 3.01/1.19  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.01/1.19  
% 3.01/1.19  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.01/1.19  
% 3.01/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.01/1.19  % ------ Proving...
% 3.01/1.19  % ------ Problem Properties 
% 3.01/1.19  
% 3.01/1.19  % 
% 3.01/1.19  % clauses                               34
% 3.01/1.19  % conjectures                           1
% 3.01/1.19  % EPR                                   13
% 3.01/1.19  % Horn                                  34
% 3.01/1.19  % unary                                 23
% 3.01/1.19  % binary                                2
% 3.01/1.19  % lits                                  56
% 3.01/1.19  % lits eq                               3
% 3.01/1.19  % fd_pure                               0
% 3.01/1.19  % fd_pseudo                             0
% 3.01/1.19  % fd_cond                               0
% 3.01/1.19  % fd_pseudo_cond                        0
% 3.01/1.19  % AC symbols                            0
% 3.01/1.19  
% 3.01/1.19  % ------ Schedule dynamic 5 is on 
% 3.01/1.19  
% 3.01/1.19  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.01/1.19  
% 3.01/1.19  
% 3.01/1.19  % ------ 
% 3.01/1.19  % Current options:
% 3.01/1.19  % ------ 
% 3.01/1.19  
% 3.01/1.19  
% 3.01/1.19  % 
% 3.01/1.19  
% 3.01/1.19  % ------ Proving...
% 3.01/1.19  % 
% 3.01/1.19  
% 3.01/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 3.01/1.19  
% 3.01/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.01/1.19  
% 3.01/1.19  
%------------------------------------------------------------------------------