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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 12:28:34 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.54s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   86 (  23 unt;   0 def)
%            Number of atoms       :  333 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  548 ( 301   ~; 247   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 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   :  110 ( 110   !;   0   ?)

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

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

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

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

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

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

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

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(putdown(X0,X1),X2))
      | ~ holds(holding(X0),X2)
      | ~ holds(clear(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),do(putdown(X2,X3),X4))
      | ~ holds(on(X0,X1),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-0.ax',putdown_4) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X0),do(putdown(X1,X2),X3))
      | ~ holds(clear(X0),X3)
      | ~ differ(X0,X2) ),
    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(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).

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

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/Axioms/PLA001-1.ax',initial_state5) ).

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(b,d),on(a,c)),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_BD_AC) ).

fof(f39,plain,
    differ(b,a),
    inference(resolution,[],[f11,f12]) ).

fof(f40,plain,
    differ(c,a),
    inference(resolution,[],[f11,f13]) ).

fof(f41,plain,
    differ(d,a),
    inference(resolution,[],[f11,f14]) ).

fof(f42,plain,
    differ(c,b),
    inference(resolution,[],[f11,f16]) ).

fof(f43,plain,
    differ(d,b),
    inference(resolution,[],[f11,f17]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(on(a,c),X0) ),
    inference(resolution,[],[f1,f31]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(a,c),do(putdown(X1,X2),X0))
      | ~ holds(on(b,d),X0) ),
    inference(resolution,[],[f9,f87]) ).

fof(f377,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(holding(a),X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f137,f7]) ).

fof(f454,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),do(pickup(X0),X1))
      | ~ holds(holding(a),do(pickup(X0),X1))
      | ~ holds(on(b,d),X1)
      | ~ differ(b,X0) ),
    inference(resolution,[],[f377,f4]) ).

fof(f953,plain,
    ! [X0,X1] :
      ( ~ holds(holding(a),do(pickup(X0),X1))
      | ~ holds(on(b,d),X1)
      | ~ differ(b,X0)
      | ~ holds(clear(c),X1)
      | ~ differ(c,X0) ),
    inference(resolution,[],[f454,f5]) ).

fof(f959,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ differ(b,a)
      | ~ holds(clear(c),X0)
      | ~ differ(c,a)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,table) ),
    inference(resolution,[],[f953,f2]) ).

fof(f960,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,a)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,table) ),
    inference(forward_subsumption_resolution,[],[f959,f39]) ).

fof(f961,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,table) ),
    inference(forward_subsumption_resolution,[],[f960,f40]) ).

fof(f962,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0) ),
    inference(forward_subsumption_resolution,[],[f961,f15]) ).

fof(f963,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(a),do(putdown(X0,X1),X2))
      | ~ holds(on(b,d),X2) ),
    inference(resolution,[],[f962,f9]) ).

fof(f1045,plain,
    ! [X0,X1] :
      ( ~ holds(empty,do(putdown(c,X0),X1))
      | ~ holds(clear(a),do(putdown(c,X0),X1))
      | ~ holds(on(b,d),X1)
      | ~ holds(holding(c),X1)
      | ~ holds(clear(X0),X1) ),
    inference(resolution,[],[f963,f8]) ).

fof(f1046,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),do(putdown(c,X0),X1))
      | ~ holds(on(b,d),X1)
      | ~ holds(holding(c),X1)
      | ~ holds(clear(X0),X1) ),
    inference(forward_subsumption_resolution,[],[f1045,f6]) ).

fof(f1059,plain,
    ! [X0,X1] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(holding(c),X0)
      | ~ holds(clear(X1),X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,X1) ),
    inference(resolution,[],[f1046,f10]) ).

fof(f1073,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(a),do(pickup(X0),X1))
      | ~ holds(clear(X2),do(pickup(X0),X1))
      | ~ holds(holding(c),do(pickup(X0),X1))
      | ~ differ(a,X2)
      | ~ holds(on(b,d),X1)
      | ~ differ(b,X0) ),
    inference(resolution,[],[f1059,f4]) ).

fof(f1118,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(holding(c),do(pickup(X1),X2))
      | ~ differ(a,X0)
      | ~ holds(on(b,d),X2)
      | ~ differ(b,X1)
      | ~ holds(on(X1,a),X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2) ),
    inference(resolution,[],[f1073,f3]) ).

fof(f1159,plain,
    ! [X0,X1] :
      ( ~ holds(holding(c),do(pickup(X0),X1))
      | ~ differ(a,table)
      | ~ holds(on(b,d),X1)
      | ~ differ(b,X0)
      | ~ holds(on(X0,a),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1) ),
    inference(resolution,[],[f1118,f30]) ).

fof(f1161,plain,
    ! [X0,X1] :
      ( ~ holds(holding(c),do(pickup(X0),X1))
      | ~ holds(on(b,d),X1)
      | ~ differ(b,X0)
      | ~ holds(on(X0,a),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1) ),
    inference(forward_subsumption_resolution,[],[f1159,f15]) ).

fof(f1188,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ differ(b,c)
      | ~ holds(on(c,a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,table) ),
    inference(resolution,[],[f1161,f2]) ).

fof(f1189,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ differ(b,c)
      | ~ holds(on(c,a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,table) ),
    inference(duplicate_literal_removal,[],[f1188]) ).

fof(f1190,plain,
    ! [X0] :
      ( ~ holds(on(b,d),X0)
      | ~ holds(on(c,a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(c,table) ),
    inference(forward_subsumption_resolution,[],[f1189,f16]) ).

fof(f1191,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(on(b,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0) ),
    inference(forward_subsumption_resolution,[],[f1190,f20]) ).

fof(f1195,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(b,d),do(putdown(X0,X1),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(on(c,a),X2) ),
    inference(resolution,[],[f1191,f9]) ).

fof(f1235,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(putdown(b,d),X0))
      | ~ holds(empty,do(putdown(b,d),X0))
      | ~ holds(on(c,a),X0)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(resolution,[],[f1195,f7]) ).

fof(f1404,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(putdown(b,d),X0))
      | ~ holds(on(c,a),X0)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(d),X0) ),
    inference(forward_subsumption_resolution,[],[f1235,f6]) ).

fof(f1411,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,d) ),
    inference(resolution,[],[f1404,f10]) ).

fof(f1412,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(holding(b),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0) ),
    inference(forward_subsumption_resolution,[],[f1411,f19]) ).

fof(f1415,plain,
    ! [X0,X1] :
      ( ~ holds(clear(d),do(pickup(X0),X1))
      | ~ holds(holding(b),do(pickup(X0),X1))
      | ~ holds(clear(c),do(pickup(X0),X1))
      | ~ holds(on(c,a),X1)
      | ~ differ(c,X0) ),
    inference(resolution,[],[f1412,f4]) ).

fof(f1475,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),do(pickup(X0),X1))
      | ~ holds(holding(b),do(pickup(X0),X1))
      | ~ holds(on(c,a),X1)
      | ~ differ(c,X0)
      | ~ holds(clear(d),X1)
      | ~ differ(d,X0) ),
    inference(resolution,[],[f1415,f5]) ).

fof(f1477,plain,
    ! [X0,X1] :
      ( ~ holds(holding(b),do(pickup(X0),X1))
      | ~ holds(on(c,a),X1)
      | ~ differ(c,X0)
      | ~ holds(clear(d),X1)
      | ~ differ(d,X0)
      | ~ holds(clear(c),X1)
      | ~ differ(c,X0) ),
    inference(resolution,[],[f1475,f5]) ).

fof(f1478,plain,
    ! [X0,X1] :
      ( ~ holds(holding(b),do(pickup(X0),X1))
      | ~ holds(on(c,a),X1)
      | ~ differ(c,X0)
      | ~ holds(clear(d),X1)
      | ~ differ(d,X0)
      | ~ holds(clear(c),X1) ),
    inference(duplicate_literal_removal,[],[f1477]) ).

fof(f1479,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ differ(c,b)
      | ~ holds(clear(d),X0)
      | ~ differ(d,b)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,table) ),
    inference(resolution,[],[f1478,f2]) ).

fof(f1480,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,b)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,table) ),
    inference(forward_subsumption_resolution,[],[f1479,f42]) ).

fof(f1481,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,table) ),
    inference(forward_subsumption_resolution,[],[f1480,f43]) ).

fof(f1482,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0) ),
    inference(forward_subsumption_resolution,[],[f1481,f18]) ).

fof(f1484,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(putdown(c,a),X0))
      | ~ holds(clear(c),do(putdown(c,a),X0))
      | ~ holds(empty,do(putdown(c,a),X0))
      | ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f1482,f7]) ).

fof(f1486,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(putdown(c,a),X0))
      | ~ holds(empty,do(putdown(c,a),X0))
      | ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(forward_subsumption_resolution,[],[f1484,f8]) ).

fof(f1487,plain,
    ! [X0] :
      ( ~ holds(clear(d),do(putdown(c,a),X0))
      | ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0) ),
    inference(forward_subsumption_resolution,[],[f1486,f6]) ).

fof(f1494,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,a) ),
    inference(resolution,[],[f1487,f10]) ).

fof(f1495,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(putdown(c,a),X0))
      | ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(d),X0) ),
    inference(forward_subsumption_resolution,[],[f1494,f41]) ).

fof(f1502,plain,
    ! [X0] :
      ( ~ holds(holding(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,a) ),
    inference(resolution,[],[f1495,f10]) ).

fof(f1503,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(holding(c),X0)
      | ~ holds(clear(b),X0) ),
    inference(forward_subsumption_resolution,[],[f1502,f39]) ).

fof(f1504,plain,
    ! [X0,X1] :
      ( ~ holds(clear(b),do(pickup(X0),X1))
      | ~ holds(holding(c),do(pickup(X0),X1))
      | ~ holds(clear(a),do(pickup(X0),X1))
      | ~ holds(on(X0,d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1) ),
    inference(resolution,[],[f1503,f3]) ).

fof(f1820,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),do(pickup(X0),X1))
      | ~ holds(holding(c),do(pickup(X0),X1))
      | ~ holds(on(X0,d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(b),X1)
      | ~ differ(b,X0) ),
    inference(resolution,[],[f1504,f5]) ).

fof(f2014,plain,
    ! [X0,X1] :
      ( ~ holds(holding(c),do(pickup(X0),X1))
      | ~ holds(on(X0,d),X1)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | ~ holds(clear(b),X1)
      | ~ differ(b,X0)
      | ~ holds(clear(a),X1)
      | ~ differ(a,X0) ),
    inference(resolution,[],[f1820,f5]) ).

fof(f2036,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,c)
      | ~ holds(clear(a),X0)
      | ~ differ(a,c)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),X0)
      | ~ differ(c,table) ),
    inference(resolution,[],[f2014,f2]) ).

fof(f2037,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,c)
      | ~ holds(clear(a),X0)
      | ~ differ(a,c)
      | ~ differ(c,table) ),
    inference(duplicate_literal_removal,[],[f2036]) ).

fof(f2038,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,c)
      | ~ differ(c,table) ),
    inference(forward_subsumption_resolution,[],[f2037,f16]) ).

fof(f2039,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(a),X0)
      | ~ differ(c,table) ),
    inference(forward_subsumption_resolution,[],[f2038,f13]) ).

fof(f2040,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(a),X0) ),
    inference(forward_subsumption_resolution,[],[f2039,f20]) ).

fof(f2044,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(empty,s0)
    | ~ holds(clear(b),s0)
    | ~ holds(clear(a),s0) ),
    inference(resolution,[],[f2040,f24]) ).

fof(f2045,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(b),s0)
    | ~ holds(clear(a),s0) ),
    inference(forward_subsumption_resolution,[],[f2044,f28]) ).

fof(f2047,plain,
    ( ~ holds(clear(b),s0)
    | ~ holds(clear(a),s0) ),
    inference(forward_subsumption_resolution,[],[f2045,f29]) ).

fof(f2049,plain,
    ~ holds(clear(a),s0),
    inference(forward_subsumption_resolution,[],[f2047,f27]) ).

fof(f2050,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2049,f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n008.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 22:09:54 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.54  % (1651635)Will run a generic schedule for satisfiability detection.
% 0.17/0.54  % (1651643)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2056623998_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.54  % TRYING [1]
% 0.17/0.54  % TRYING [2]
% 0.17/0.54  % TRYING [3]
% 0.17/0.54  % (1651644)% WARNING: option uhcvi not known.
% 0.17/0.54  % (1651645)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1080167185:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.54  % (1651647)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1630087455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.54  % (1651648)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4187237850:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.54  % (1651644)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1575350809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.54  % (1651646)dis+10_1_sil=32000:sp=arity:random_seed=3984639875:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.54  % (1651649)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1427281625:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.54  % TRYING [4]
% 0.17/0.54  % (1651646)Instruction limit reached! 
% 0.17/0.54  % (1651646)------------------------------
% 0.17/0.54  % (1651646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54  % (1651646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54  % (1651646)CaDiCaL version: 2.1.3
% 0.17/0.54  % (1651646)Termination reason: Instruction limit
% 0.17/0.54  % (1651646)Termination phase: Saturation
% 0.17/0.54  % (1651646)Time elapsed: 0.061 s
% 0.17/0.54  % (1651646)Peak memory usage: 12 MB
% 0.17/0.54  % (1651646)Instructions burned: 104 (million)
% 0.17/0.54  % (1651647)Instruction limit reached! 
% 0.17/0.54  % (1651647)------------------------------
% 0.17/0.54  % (1651647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.54  % (1651647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.54  % (1651647)CaDiCaL version: 2.1.3
% 0.17/0.54  % (1651647)Termination reason: Instruction limit
% 0.17/0.54  % (1651647)Termination phase: Saturation
% 0.17/0.54  % (1651647)Time elapsed: 0.065 s
% 0.17/0.54  % (1651645) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1651635-1651645"...
% 0.17/0.54  % (1651647)Peak memory usage: 12 MB
% 0.17/0.54  % (1651647)Instructions burned: 116 (million)
% 0.17/0.54  % (1651645)...printing done.
% 0.17/0.54  % (1651645)Refutation found. Thanks to Tanya!
% 0.17/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.55  % (1651645)------------------------------
% 0.17/0.55  % (1651645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.55  % (1651645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.55  % (1651645)CaDiCaL version: 2.1.3
% 0.17/0.55  % (1651645)Termination reason: Refutation
% 0.17/0.55  % (1651645)Time elapsed: 0.066 s
% 0.17/0.55  % (1651645)Peak memory usage: 12 MB
% 0.17/0.55  % (1651645)Instructions burned: 97 (million)
% 0.17/0.55  % (1651635)Success in time 0.112 s
% 0.17/0.55  % Vampire exiting
%------------------------------------------------------------------------------