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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PLA023-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 : Tue Sep 29 12:27:45 PM UTC 2026

% Result   : Unsatisfiable 50.92s 8.64s
% Output   : Refutation 55.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  155 ( 155 unt;   4 def)
%            Number of atoms       :  155 ( 154 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  10 con; 0-4 aty)
%            Number of variables   :  141 ( 141   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq(holds(X0,X1),true,ifeq(holds(X2,X1),true,holds(and(X2,X0),X1),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).

fof(f3,plain,
    ! [X2,X0,X1] : true = ifeq(holds(X0,X1),true,ifeq(holds(X2,X1),true,holds(and(X2,X0),X1),true),true),
    inference(reorient_equations,[],[f2]) ).

fof(f4,axiom,
    ! [X0,X1] : ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).

fof(f5,plain,
    ! [X0,X1] : true = ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true),
    inference(reorient_equations,[],[f4]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : ifeq(holds(on(X0,X1),X2),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X0),X2),true,holds(clear(X1),do(pickup(X0),X2)),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).

fof(f7,plain,
    ! [X2,X0,X1] : true = ifeq(holds(on(X0,X1),X2),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X0),X2),true,holds(clear(X1),do(pickup(X0),X2)),true),true),true),
    inference(reorient_equations,[],[f6]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] : ifeq(differ(X0,X1),true,ifeq(holds(on(X0,X2),X3),true,holds(on(X0,X2),do(pickup(X1),X3)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).

fof(f9,plain,
    ! [X2,X3,X0,X1] : true = ifeq(differ(X0,X1),true,ifeq(holds(on(X0,X2),X3),true,holds(on(X0,X2),do(pickup(X1),X3)),true),true),
    inference(reorient_equations,[],[f8]) ).

fof(f10,axiom,
    ! [X2,X0,X1] : ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).

fof(f11,plain,
    ! [X2,X0,X1] : true = ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true),
    inference(reorient_equations,[],[f10]) ).

fof(f12,axiom,
    ! [X2,X0,X1] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(empty,do(putdown(X0,X2),X1)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).

fof(f13,plain,
    ! [X2,X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(empty,do(putdown(X0,X2),X1)),true),true),
    inference(reorient_equations,[],[f12]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).

fof(f15,plain,
    ! [X2,X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true),
    inference(reorient_equations,[],[f14]) ).

fof(f16,axiom,
    ! [X2,X0,X1] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(clear(X0),do(putdown(X0,X2),X1)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).

fof(f17,plain,
    ! [X2,X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(clear(X0),do(putdown(X0,X2),X1)),true),true),
    inference(reorient_equations,[],[f16]) ).

fof(f18,axiom,
    ! [X2,X3,X0,X1,X4] : ifeq(holds(on(X0,X1),X2),true,holds(on(X0,X1),do(putdown(X3,X4),X2)),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(holds(on(X0,X1),X2),true,holds(on(X0,X1),do(putdown(X3,X4),X2)),true),
    inference(reorient_equations,[],[f18]) ).

fof(f20,axiom,
    ! [X2,X3,X0,X1] : ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(putdown(X3,X1),X2)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] : true = ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(putdown(X3,X1),X2)),true),true),
    inference(reorient_equations,[],[f20]) ).

fof(f22,axiom,
    ! [X0,X1] : ifeq(differ(X0,X1),true,differ(X1,X0),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f23,plain,
    ! [X0,X1] : true = ifeq(differ(X0,X1),true,differ(X1,X0),true),
    inference(reorient_equations,[],[f22]) ).

fof(f26,axiom,
    differ(a,c) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).

fof(f27,plain,
    true = differ(a,c),
    inference(reorient_equations,[],[f26]) ).

fof(f28,axiom,
    differ(a,d) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_d) ).

fof(f29,plain,
    true = differ(a,d),
    inference(reorient_equations,[],[f28]) ).

fof(f30,axiom,
    differ(a,table) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).

fof(f31,plain,
    true = differ(a,table),
    inference(reorient_equations,[],[f30]) ).

fof(f38,axiom,
    differ(c,d) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_d) ).

fof(f39,plain,
    true = differ(c,d),
    inference(reorient_equations,[],[f38]) ).

fof(f40,axiom,
    differ(c,table) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).

fof(f41,plain,
    true = differ(c,table),
    inference(reorient_equations,[],[f40]) ).

fof(f42,axiom,
    differ(d,table) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_d_table) ).

fof(f43,plain,
    true = differ(d,table),
    inference(reorient_equations,[],[f42]) ).

fof(f48,axiom,
    holds(on(c,d),s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).

fof(f49,plain,
    true = holds(on(c,d),s0),
    inference(reorient_equations,[],[f48]) ).

fof(f52,axiom,
    holds(clear(a),s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).

fof(f53,plain,
    true = holds(clear(a),s0),
    inference(reorient_equations,[],[f52]) ).

fof(f56,axiom,
    holds(clear(c),s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).

fof(f57,plain,
    true = holds(clear(c),s0),
    inference(reorient_equations,[],[f56]) ).

fof(f58,axiom,
    holds(empty,s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).

fof(f59,plain,
    true = holds(empty,s0),
    inference(reorient_equations,[],[f58]) ).

fof(f60,axiom,
    ! [X0] : holds(clear(table),X0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clear_table) ).

fof(f61,plain,
    ! [X0] : true = holds(clear(table),X0),
    inference(reorient_equations,[],[f60]) ).

fof(f62,negated_conjecture,
    ! [X0] : holds(and(on(d,a),on(a,c)),X0) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DAC) ).

fof(f63,plain,
    ! [X0] : true != holds(and(on(d,a),on(a,c)),X0),
    inference(reorient_equations,[],[f62]) ).

fof(f64,definition,
    sF0 = on(d,a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f65,plain,
    on(d,a) = sF0,
    inference(reorient_equations,[],[f64]) ).

fof(f66,definition,
    sF1 = on(a,c),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f67,plain,
    on(a,c) = sF1,
    inference(reorient_equations,[],[f66]) ).

fof(f68,definition,
    sF2 = and(sF0,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f69,plain,
    and(sF0,sF1) = sF2,
    inference(reorient_equations,[],[f68]) ).

fof(f70,definition,
    ! [X0] : sF3(X0) = holds(sF2,X0),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f71,plain,
    ! [X0] : holds(sF2,X0) = sF3(X0),
    inference(reorient_equations,[],[f70]) ).

fof(f72,plain,
    ! [X0] : true != sF3(X0),
    inference(definition_folding,[],[f63,f71,f69,f67,f65]) ).

fof(f74,plain,
    ! [X0] : true = ifeq(holds(holding(d),X0),true,ifeq(holds(clear(a),X0),true,holds(sF0,do(putdown(d,a),X0)),true),true),
    inference(superposition,[],[f15,f65]) ).

fof(f77,plain,
    ! [X0] : true = ifeq(holds(holding(a),X0),true,ifeq(holds(clear(c),X0),true,holds(sF1,do(putdown(a,c),X0)),true),true),
    inference(superposition,[],[f15,f67]) ).

fof(f78,plain,
    ! [X0,X1] : true = ifeq(differ(a,X0),true,ifeq(holds(sF1,X1),true,holds(sF1,do(pickup(X0),X1)),true),true),
    inference(superposition,[],[f9,f67]) ).

fof(f109,plain,
    ! [X0] : true = ifeq(holds(sF1,X0),true,ifeq(holds(sF0,X0),true,holds(sF2,X0),true),true),
    inference(superposition,[],[f3,f69]) ).

fof(f110,plain,
    ! [X0] : true = ifeq(holds(sF1,X0),true,ifeq(holds(sF0,X0),true,sF3(X0),true),true),
    inference(forward_demodulation,[],[f109,f71]) ).

fof(f114,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(c),X0)),true),true),
    inference(superposition,[],[f11,f27]) ).

fof(f115,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(d),X0)),true),true),
    inference(superposition,[],[f11,f29]) ).

fof(f122,plain,
    ! [X0] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(d),X0)),true),
    inference(forward_demodulation,[],[f115,f1]) ).

fof(f123,plain,
    ! [X0] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(pickup(c),X0)),true),
    inference(forward_demodulation,[],[f114,f1]) ).

fof(f125,plain,
    true = ifeq(true,true,differ(d,c),true),
    inference(superposition,[],[f23,f39]) ).

fof(f126,plain,
    true = ifeq(true,true,differ(c,a),true),
    inference(superposition,[],[f23,f27]) ).

fof(f127,plain,
    true = ifeq(true,true,differ(d,a),true),
    inference(superposition,[],[f23,f29]) ).

fof(f140,plain,
    true = differ(d,a),
    inference(forward_demodulation,[],[f127,f1]) ).

fof(f141,plain,
    true = differ(c,a),
    inference(forward_demodulation,[],[f126,f1]) ).

fof(f142,plain,
    true = differ(d,c),
    inference(forward_demodulation,[],[f125,f1]) ).

fof(f150,plain,
    ! [X2,X0,X1] : true = ifeq(holds(sF1,X0),true,holds(sF1,do(putdown(X1,X2),X0)),true),
    inference(superposition,[],[f19,f67]) ).

fof(f164,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,table),X0)),true),true),
    inference(superposition,[],[f21,f31]) ).

fof(f167,plain,
    ! [X0,X1] : true = ifeq(holds(clear(a),X0),true,holds(clear(a),do(putdown(X1,table),X0)),true),
    inference(forward_demodulation,[],[f164,f1]) ).

fof(f174,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,table),X0)),true),true),
    inference(superposition,[],[f21,f43]) ).

fof(f177,plain,
    ! [X0,X1] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,table),X0)),true),
    inference(forward_demodulation,[],[f174,f1]) ).

fof(f229,plain,
    ! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(true,true,holds(clear(X0),do(putdown(X0,table),X1)),true),true),
    inference(superposition,[],[f17,f61]) ).

fof(f230,plain,
    ! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,ifeq(true,true,holds(empty,do(putdown(X0,table),X1)),true),true),
    inference(superposition,[],[f13,f61]) ).

fof(f245,plain,
    ! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,holds(empty,do(putdown(X0,table),X1)),true),
    inference(forward_demodulation,[],[f230,f1]) ).

fof(f246,plain,
    ! [X0,X1] : true = ifeq(holds(holding(X0),X1),true,holds(clear(X0),do(putdown(X0,table),X1)),true),
    inference(forward_demodulation,[],[f229,f1]) ).

fof(f253,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(empty,X0),true,ifeq(holds(clear(a),X0),true,holds(holding(a),do(pickup(a),X0)),true),true),true),
    inference(superposition,[],[f5,f31]) ).

fof(f256,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(empty,X0),true,ifeq(holds(clear(d),X0),true,holds(holding(d),do(pickup(d),X0)),true),true),true),
    inference(superposition,[],[f5,f43]) ).

fof(f258,plain,
    true = ifeq(differ(c,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),true),true),
    inference(superposition,[],[f5,f57]) ).

fof(f263,plain,
    true = ifeq(differ(c,table),true,ifeq(holds(empty,s0),true,holds(holding(c),do(pickup(c),s0)),true),true),
    inference(forward_demodulation,[],[f258,f1]) ).

fof(f265,plain,
    ! [X0] : true = ifeq(holds(empty,X0),true,ifeq(holds(clear(d),X0),true,holds(holding(d),do(pickup(d),X0)),true),true),
    inference(forward_demodulation,[],[f256,f1]) ).

fof(f268,plain,
    ! [X0] : true = ifeq(holds(empty,X0),true,ifeq(holds(clear(a),X0),true,holds(holding(a),do(pickup(a),X0)),true),true),
    inference(forward_demodulation,[],[f253,f1]) ).

fof(f270,plain,
    true = ifeq(differ(c,table),true,ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),true),
    inference(forward_demodulation,[],[f263,f59]) ).

fof(f272,plain,
    true = ifeq(differ(c,table),true,holds(holding(c),do(pickup(c),s0)),true),
    inference(forward_demodulation,[],[f270,f1]) ).

fof(f274,plain,
    true = ifeq(true,true,holds(holding(c),do(pickup(c),s0)),true),
    inference(forward_demodulation,[],[f272,f41]) ).

fof(f276,plain,
    true = holds(holding(c),do(pickup(c),s0)),
    inference(forward_demodulation,[],[f274,f1]) ).

fof(f349,plain,
    true = ifeq(true,true,holds(clear(c),do(putdown(c,table),do(pickup(c),s0))),true),
    inference(superposition,[],[f246,f276]) ).

fof(f355,plain,
    true = holds(clear(c),do(putdown(c,table),do(pickup(c),s0))),
    inference(forward_demodulation,[],[f349,f1]) ).

fof(f356,plain,
    true = ifeq(true,true,holds(empty,do(putdown(c,table),do(pickup(c),s0))),true),
    inference(superposition,[],[f245,f276]) ).

fof(f361,plain,
    true = holds(empty,do(putdown(c,table),do(pickup(c),s0))),
    inference(forward_demodulation,[],[f356,f1]) ).

fof(f369,plain,
    true = ifeq(true,true,ifeq(holds(empty,s0),true,ifeq(holds(clear(c),s0),true,holds(clear(d),do(pickup(c),s0)),true),true),true),
    inference(superposition,[],[f7,f49]) ).

fof(f376,plain,
    true = ifeq(holds(empty,s0),true,ifeq(holds(clear(c),s0),true,holds(clear(d),do(pickup(c),s0)),true),true),
    inference(forward_demodulation,[],[f369,f1]) ).

fof(f378,plain,
    true = ifeq(holds(empty,s0),true,ifeq(true,true,holds(clear(d),do(pickup(c),s0)),true),true),
    inference(forward_demodulation,[],[f376,f57]) ).

fof(f379,plain,
    true = ifeq(holds(empty,s0),true,holds(clear(d),do(pickup(c),s0)),true),
    inference(forward_demodulation,[],[f378,f1]) ).

fof(f380,plain,
    true = ifeq(true,true,holds(clear(d),do(pickup(c),s0)),true),
    inference(forward_demodulation,[],[f379,f59]) ).

fof(f381,plain,
    true = holds(clear(d),do(pickup(c),s0)),
    inference(forward_demodulation,[],[f380,f1]) ).

fof(f447,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(c),X0),true,holds(clear(c),do(pickup(a),X0)),true),true),
    inference(superposition,[],[f11,f141]) ).

fof(f452,plain,
    ! [X0] : true = ifeq(holds(clear(c),X0),true,holds(clear(c),do(pickup(a),X0)),true),
    inference(forward_demodulation,[],[f447,f1]) ).

fof(f472,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,c),X0)),true),true),
    inference(superposition,[],[f21,f142]) ).

fof(f475,plain,
    ! [X0,X1] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(putdown(X1,c),X0)),true),
    inference(forward_demodulation,[],[f472,f1]) ).

fof(f519,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(a),X0)),true),true),
    inference(superposition,[],[f11,f140]) ).

fof(f524,plain,
    ! [X0] : true = ifeq(holds(clear(d),X0),true,holds(clear(d),do(pickup(a),X0)),true),
    inference(forward_demodulation,[],[f519,f1]) ).

fof(f787,plain,
    true = ifeq(true,true,holds(clear(a),do(pickup(c),s0)),true),
    inference(superposition,[],[f123,f53]) ).

fof(f792,plain,
    true = holds(clear(a),do(pickup(c),s0)),
    inference(forward_demodulation,[],[f787,f1]) ).

fof(f1570,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(sF1,X0),true,holds(sF1,do(pickup(d),X0)),true),true),
    inference(superposition,[],[f78,f29]) ).

fof(f1571,plain,
    ! [X0] : true = ifeq(holds(sF1,X0),true,holds(sF1,do(pickup(d),X0)),true),
    inference(forward_demodulation,[],[f1570,f1]) ).

fof(f1625,plain,
    true = ifeq(true,true,holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),
    inference(superposition,[],[f452,f355]) ).

fof(f1632,plain,
    true = holds(clear(c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),
    inference(forward_demodulation,[],[f1625,f1]) ).

fof(f1672,plain,
    true = ifeq(holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,ifeq(true,true,holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),true),
    inference(superposition,[],[f77,f1632]) ).

fof(f1705,plain,
    true = ifeq(holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
    inference(forward_demodulation,[],[f1672,f1]) ).

fof(f2199,plain,
    ! [X0] : true = ifeq(true,true,holds(clear(a),do(putdown(X0,table),do(pickup(c),s0))),true),
    inference(superposition,[],[f167,f792]) ).

fof(f2207,plain,
    ! [X0] : true = holds(clear(a),do(putdown(X0,table),do(pickup(c),s0))),
    inference(forward_demodulation,[],[f2199,f1]) ).

fof(f2580,plain,
    ! [X0] : true = ifeq(true,true,holds(clear(d),do(putdown(X0,table),do(pickup(c),s0))),true),
    inference(superposition,[],[f177,f381]) ).

fof(f2583,plain,
    ! [X0] : true = holds(clear(d),do(putdown(X0,table),do(pickup(c),s0))),
    inference(forward_demodulation,[],[f2580,f1]) ).

fof(f2918,plain,
    true = ifeq(true,true,ifeq(holds(clear(a),do(putdown(c,table),do(pickup(c),s0))),true,holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),true),
    inference(superposition,[],[f268,f361]) ).

fof(f2947,plain,
    true = ifeq(holds(clear(a),do(putdown(c,table),do(pickup(c),s0))),true,holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),
    inference(forward_demodulation,[],[f2918,f1]) ).

fof(f2956,plain,
    true = ifeq(true,true,holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true),
    inference(forward_demodulation,[],[f2947,f2207]) ).

fof(f2965,plain,
    true = holds(holding(a),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),
    inference(forward_demodulation,[],[f2956,f1]) ).

fof(f2968,plain,
    true = ifeq(true,true,holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
    inference(backward_demodulation,[],[f1705,f2965]) ).

fof(f2969,plain,
    true = holds(sF1,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
    inference(forward_demodulation,[],[f2968,f1]) ).

fof(f3008,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(clear(a),do(putdown(a,X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),true),
    inference(superposition,[],[f17,f2965]) ).

fof(f3009,plain,
    ! [X0] : true = ifeq(true,true,ifeq(holds(clear(X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(empty,do(putdown(a,X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),true),
    inference(superposition,[],[f13,f2965]) ).

fof(f3020,plain,
    ! [X0] : true = ifeq(holds(clear(X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(empty,do(putdown(a,X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
    inference(forward_demodulation,[],[f3009,f1]) ).

fof(f3021,plain,
    ! [X0] : true = ifeq(holds(clear(X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))),true,holds(clear(a),do(putdown(a,X0),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
    inference(forward_demodulation,[],[f3008,f1]) ).

fof(f3042,plain,
    true = ifeq(true,true,holds(sF1,do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
    inference(superposition,[],[f1571,f2969]) ).

fof(f3057,plain,
    true = holds(sF1,do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),
    inference(forward_demodulation,[],[f3042,f1]) ).

fof(f3461,plain,
    ! [X0] : true = ifeq(true,true,holds(clear(d),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0)))),true),
    inference(superposition,[],[f524,f2583]) ).

fof(f3464,plain,
    ! [X0] : true = holds(clear(d),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0)))),
    inference(forward_demodulation,[],[f3461,f1]) ).

fof(f7429,plain,
    ! [X0,X1] : true = ifeq(true,true,holds(sF1,do(putdown(X0,X1),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
    inference(superposition,[],[f150,f3057]) ).

fof(f7450,plain,
    ! [X0,X1] : true = holds(sF1,do(putdown(X0,X1),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
    inference(forward_demodulation,[],[f7429,f1]) ).

fof(f13904,plain,
    ! [X0,X1] : true = ifeq(true,true,holds(clear(d),do(putdown(X1,c),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0))))),true),
    inference(superposition,[],[f475,f3464]) ).

fof(f13949,plain,
    ! [X0,X1] : true = holds(clear(d),do(putdown(X1,c),do(pickup(a),do(putdown(X0,table),do(pickup(c),s0))))),
    inference(forward_demodulation,[],[f13904,f1]) ).

fof(f15333,plain,
    true = ifeq(true,true,holds(clear(a),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
    inference(superposition,[],[f3021,f1632]) ).

fof(f15341,plain,
    true = holds(clear(a),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
    inference(forward_demodulation,[],[f15333,f1]) ).

fof(f15353,plain,
    true = ifeq(true,true,holds(clear(a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
    inference(superposition,[],[f122,f15341]) ).

fof(f15396,plain,
    true = holds(clear(a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),
    inference(forward_demodulation,[],[f15353,f1]) ).

fof(f17543,plain,
    true = ifeq(true,true,holds(empty,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true),
    inference(superposition,[],[f3020,f1632]) ).

fof(f17550,plain,
    true = holds(empty,do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),
    inference(forward_demodulation,[],[f17543,f1]) ).

fof(f17647,plain,
    true = ifeq(true,true,ifeq(holds(clear(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true,holds(holding(d),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),true),
    inference(superposition,[],[f265,f17550]) ).

fof(f17666,plain,
    true = ifeq(holds(clear(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))),true,holds(holding(d),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
    inference(forward_demodulation,[],[f17647,f1]) ).

fof(f17677,plain,
    true = ifeq(true,true,holds(holding(d),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true),
    inference(forward_demodulation,[],[f17666,f13949]) ).

fof(f17683,plain,
    true = holds(holding(d),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),
    inference(forward_demodulation,[],[f17677,f1]) ).

fof(f17879,plain,
    true = ifeq(true,true,ifeq(holds(clear(a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true,holds(sF0,do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),true),
    inference(superposition,[],[f74,f17683]) ).

fof(f17906,plain,
    true = ifeq(holds(clear(a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0)))))),true,holds(sF0,do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
    inference(forward_demodulation,[],[f17879,f1]) ).

fof(f17909,plain,
    true = ifeq(true,true,holds(sF0,do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
    inference(forward_demodulation,[],[f17906,f15396]) ).

fof(f17912,plain,
    true = holds(sF0,do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
    inference(forward_demodulation,[],[f17909,f1]) ).

fof(f18879,plain,
    true = ifeq(holds(sF1,do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true,ifeq(true,true,sF3(do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),true),
    inference(superposition,[],[f110,f17912]) ).

fof(f18902,plain,
    true = ifeq(holds(sF1,do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true,sF3(do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
    inference(forward_demodulation,[],[f18879,f1]) ).

fof(f18906,plain,
    true = ifeq(true,true,sF3(do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),true),
    inference(forward_demodulation,[],[f18902,f7450]) ).

fof(f18908,plain,
    true = sF3(do(putdown(d,a),do(pickup(d),do(putdown(a,c),do(pickup(a),do(putdown(c,table),do(pickup(c),s0))))))),
    inference(forward_demodulation,[],[f18906,f1]) ).

fof(f18910,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f18908,f72]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA023-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n009.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 22:10:30 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 50.92/8.64  % (2457393)Detected a unit-equality problem, will run specialized UEQ schedule.
% 50.92/8.64  % (2457478)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3188504957:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 50.92/8.64  % (2457485)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2678078836:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 50.92/8.64  % (2457482)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3394698457:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 50.92/8.64  % (2457481)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1706146603:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 50.92/8.64  % (2457479)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3721539205:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 50.92/8.64  % (2457477)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=111886168:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 50.92/8.64  % (2457484)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1477836180:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 50.92/8.64  % (2457481)Instruction limit reached! 
% 50.92/8.64  % (2457481)------------------------------
% 50.92/8.64  % (2457481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457481)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457481)Termination reason: Instruction limit
% 50.92/8.64  % (2457481)Termination phase: Saturation
% 50.92/8.64  % (2457481)Time elapsed: 0.073 s
% 50.92/8.64  % (2457481)Peak memory usage: 89 MB
% 50.92/8.64  % (2457481)Instructions burned: 138 (million)
% 50.92/8.64  % (2457482)Instruction limit reached! 
% 50.92/8.64  % (2457482)------------------------------
% 50.92/8.64  % (2457482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457482)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457482)Termination reason: Instruction limit
% 50.92/8.64  % (2457482)Termination phase: Saturation
% 50.92/8.64  % (2457482)Time elapsed: 0.094 s
% 50.92/8.64  % (2457482)Peak memory usage: 90 MB
% 50.92/8.64  % (2457482)Instructions burned: 183 (million)
% 50.92/8.64  % (2457500)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1839184966:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 50.92/8.64  % (2457501)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2235909312:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 50.92/8.64  % (2457484)Instruction limit reached! 
% 50.92/8.64  % (2457484)------------------------------
% 50.92/8.64  % (2457484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457484)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457484)Termination reason: Instruction limit
% 50.92/8.64  % (2457484)Termination phase: Saturation
% 50.92/8.64  % (2457484)Time elapsed: 0.259 s
% 50.92/8.64  % (2457484)Peak memory usage: 94 MB
% 50.92/8.64  % (2457484)Instructions burned: 257 (million)
% 50.92/8.64  % (2457504)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1938662321:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 50.92/8.64  % (2457504)Instruction limit reached! 
% 50.92/8.64  % (2457504)------------------------------
% 50.92/8.64  % (2457504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457504)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457504)Termination reason: Instruction limit
% 50.92/8.64  % (2457504)Termination phase: Saturation
% 50.92/8.64  % (2457504)Time elapsed: 0.054 s
% 50.92/8.64  % (2457504)Peak memory usage: 88 MB
% 50.92/8.64  % (2457504)Instructions burned: 219 (million)
% 50.92/8.64  % (2457485)Instruction limit reached! 
% 50.92/8.64  % (2457485)------------------------------
% 50.92/8.64  % (2457485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457485)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457485)Termination reason: Instruction limit
% 50.92/8.64  % (2457485)Termination phase: Saturation
% 50.92/8.64  % (2457485)Time elapsed: 0.621 s
% 50.92/8.64  % (2457485)Peak memory usage: 104 MB
% 50.92/8.64  % (2457485)Instructions burned: 1187 (million)
% 50.92/8.64  % (2457506)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=4077713106:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 50.92/8.64  % (2457506)Instruction limit reached! 
% 50.92/8.64  % (2457506)------------------------------
% 50.92/8.64  % (2457506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457506)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457506)Termination reason: Instruction limit
% 50.92/8.64  % (2457506)Termination phase: Saturation
% 50.92/8.64  % (2457506)Time elapsed: 0.164 s
% 50.92/8.64  % (2457506)Peak memory usage: 96 MB
% 50.92/8.64  % (2457506)Instructions burned: 318 (million)
% 50.92/8.64  % (2457516)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1538913356:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 50.92/8.64  % (2457526)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2612127297:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 50.92/8.64  % (2457500)Instruction limit reached! 
% 50.92/8.64  % (2457500)------------------------------
% 50.92/8.64  % (2457500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457500)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457500)Termination reason: Instruction limit
% 50.92/8.64  % (2457500)Termination phase: Saturation
% 50.92/8.64  % (2457500)Time elapsed: 1.346 s
% 50.92/8.64  % (2457500)Peak memory usage: 141 MB
% 50.92/8.64  % (2457500)Instructions burned: 2051 (million)
% 50.92/8.64  % (2457539)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1971317520:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 50.92/8.64  % (2457526)Instruction limit reached! 
% 50.92/8.64  % (2457526)------------------------------
% 50.92/8.64  % (2457526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457526)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457526)Termination reason: Instruction limit
% 50.92/8.64  % (2457526)Termination phase: Saturation
% 50.92/8.64  % (2457526)Time elapsed: 2.061 s
% 50.92/8.64  % (2457526)Peak memory usage: 151 MB
% 50.92/8.64  % (2457526)Instructions burned: 2837 (million)
% 50.92/8.64  % (2457671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3032003001:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2966 on theBenchmark for (2966ds/11832Mi)
% 50.92/8.64  % (2457501)Instruction limit reached! 
% 50.92/8.64  % (2457501)------------------------------
% 50.92/8.64  % (2457501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457501)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457501)Termination reason: Instruction limit
% 50.92/8.64  % (2457501)Termination phase: Saturation
% 50.92/8.64  % (2457501)Time elapsed: 3.800 s
% 50.92/8.64  % (2457501)Peak memory usage: 168 MB
% 50.92/8.64  % (2457501)Instructions burned: 4948 (million)
% 50.92/8.64  % (2457707)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=3301784730:i=2279:fgj=on:bd=all_2957 on theBenchmark for (2957ds/2279Mi)
% 50.92/8.64  % (2457707)Instruction limit reached! 
% 50.92/8.64  % (2457707)------------------------------
% 50.92/8.64  % (2457707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457707)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457707)Termination reason: Instruction limit
% 50.92/8.64  % (2457707)Termination phase: Saturation
% 50.92/8.64  % (2457707)Time elapsed: 1.401 s
% 50.92/8.64  % (2457707)Peak memory usage: 141 MB
% 50.92/8.64  % (2457707)Instructions burned: 2280 (million)
% 50.92/8.64  % (2457709)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3914217857:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2941 on theBenchmark for (2941ds/6225Mi)
% 50.92/8.64  % (2457539)Instruction limit reached! 
% 50.92/8.64  % (2457539)------------------------------
% 50.92/8.64  % (2457539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.92/8.64  % (2457539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.92/8.64  % (2457539)CaDiCaL version: 2.1.3
% 50.92/8.64  % (2457539)Termination reason: Instruction limit
% 50.92/8.64  % (2457539)Termination phase: Saturation
% 50.92/8.64  % (2457539)Time elapsed: 4.921 s
% 50.92/8.64  % (2457539)Peak memory usage: 268 MB
% 50.92/8.64  % (2457539)Instructions burned: 14535 (million)
% 50.92/8.64  % (2457711)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=386414512:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2930 on theBenchmark for (2930ds/21755Mi)
% 50.92/8.64  % (2457671)First to succeed.
% 50.92/8.64  % (2457671)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2457393"
% 50.92/8.64  % (2457671)Refutation found. Thanks to Tanya!
% 50.92/8.64  % SZS status Unsatisfiable for theBenchmark
% 50.92/8.64  % SZS output start Proof for theBenchmark
% See solution above
% 55.59/9.00  % (2457671)------------------------------
% 55.59/9.00  % (2457671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.59/9.00  % (2457671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.59/9.00  % (2457671)CaDiCaL version: 2.1.3
% 55.59/9.00  % (2457671)Termination reason: Refutation
% 55.59/9.00  % (2457671)Time elapsed: 3.973 s
% 55.59/9.00  % (2457671)Peak memory usage: 186 MB
% 55.59/9.00  % (2457671)Instructions burned: 6561 (million)
% 55.59/9.00  % (2457671)------------------------------
% 55.59/9.00  % (2457671)------------------------------
% 55.59/9.00  % (2457393)Success in time 8.05 s
% 55.59/9.00  % Vampire exiting
%------------------------------------------------------------------------------