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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SET005-1 : TPTP v9.3.1. Released v1.0.0.
% 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 02:45:58 PM UTC 2026

% Result   : Unsatisfiable 2.83s 1.38s
% Output   : CNFRefutation 2.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   72 (  16 unt;   0 def)
%            Number of atoms       :  175 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  189 (  86   ~; 103   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :  105 (   0 sgn 105   !;   0   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X0,X2)
      | ~ subset(X1,X2)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',membership_in_subsets) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(member_of_1_not_of_2(X0,X1),X0)
      | subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ member(member_of_1_not_of_2(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-0.ax',subsets_axiom2) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X3,X0)
      | ~ member(X3,X2)
      | ~ intersection(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set1) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X3,X1)
      | ~ member(X3,X2)
      | ~ intersection(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set2) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( member(X3,X2)
      | ~ member(X3,X0)
      | ~ member(X3,X1)
      | ~ intersection(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',member_of_both_is_member_of_intersection) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( member(h(X0,X1,X2),X0)
      | intersection(X0,X1,X2)
      | member(h(X0,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( member(h(X0,X1,X2),X1)
      | intersection(X0,X1,X2)
      | member(h(X0,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( intersection(X0,X1,X2)
      | ~ member(h(X0,X1,X2),X0)
      | ~ member(h(X0,X1,X2),X1)
      | ~ member(h(X0,X1,X2),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom3) ).

fof(f13,axiom,
    intersection(a,b,aIb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_b) ).

fof(f14,axiom,
    intersection(b,c,bIc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_intersection_c) ).

fof(f15,axiom,
    intersection(a,bIc,aIbIc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bIc) ).

fof(f16,negated_conjecture,
    ~ intersection(aIb,c,aIbIc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aIb_intersection_c_is_aIbIc) ).

tcf(c_65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( member(X0,X2)
      | ~ subset(X1,X2)
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | member(member_of_1_not_of_2(X0,X1),X0) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_67,plain,
    ! [X0: $i,X1: $i] :
      ( subset(X0,X1)
      | ~ member(member_of_1_not_of_2(X0,X1),X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X3,X0)
      | ~ member(X3,X2)
      | ~ intersection(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X3,X1)
      | ~ member(X3,X2)
      | ~ intersection(X0,X1,X2) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( member(X3,X2)
      | ~ member(X3,X1)
      | ~ member(X3,X0)
      | ~ intersection(X0,X1,X2) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( intersection(X0,X1,X2)
      | member(h(X0,X1,X2),X2)
      | member(h(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( intersection(X0,X1,X2)
      | member(h(X0,X1,X2),X2)
      | member(h(X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( intersection(X0,X1,X2)
      | ~ member(h(X0,X1,X2),X2)
      | ~ member(h(X0,X1,X2),X1)
      | ~ member(h(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_77,plain,
    intersection(a,b,aIb),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_78,plain,
    intersection(b,c,bIc),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_79,plain,
    intersection(a,bIc,aIbIc),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_80,negated_conjecture,
    ~ intersection(aIb,c,aIbIc),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_407,plain,
    ( ~ member(h(aIb,c,aIbIc),aIbIc)
    | ~ member(h(aIb,c,aIbIc),c)
    | ~ member(h(aIb,c,aIbIc),aIb) ),
    inference(resolution,[status(thm)],[c_80,c_76]) ).

tcf(c_417,plain,
    ( member(h(aIb,c,aIbIc),aIbIc)
    | member(h(aIb,c,aIbIc),c) ),
    inference(resolution,[status(thm)],[c_80,c_75]) ).

tcf(c_424,plain,
    ( member(h(aIb,c,aIbIc),aIbIc)
    | member(h(aIb,c,aIbIc),aIb) ),
    inference(resolution,[status(thm)],[c_80,c_74]) ).

tcf(c_890,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( subset(X0_iProver_subset_1,X1_iProver_subset_1)
      | ~ member(member_of_1_not_of_2(X0_iProver_subset_1,X1_iProver_subset_1),X1_iProver_subset_1) ),
    inference(subtyping,[status(esa)],[c_67]) ).

tcf(c_891,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( subset(X0_iProver_subset_1,X1_iProver_subset_1)
      | member(member_of_1_not_of_2(X0_iProver_subset_1,X1_iProver_subset_1),X0_iProver_subset_1) ),
    inference(subtyping,[status(esa)],[c_66]) ).

tcf(c_892,plain,
    ! [X0_iProver_member_1: iProver_member_1,X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( member(X0_iProver_member_1,X1_iProver_subset_1)
      | ~ subset(X0_iProver_subset_1,X1_iProver_subset_1)
      | ~ member(X0_iProver_member_1,X0_iProver_subset_1) ),
    inference(subtyping,[status(esa)],[c_65]) ).

tcf(c_896,plain,
    ! [X0_iProver_member_1: iProver_member_1,X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1,X2_iProver_subset_1: iProver_subset_1] :
      ( member(X0_iProver_member_1,X2_iProver_subset_1)
      | ~ member(X0_iProver_member_1,X1_iProver_subset_1)
      | ~ member(X0_iProver_member_1,X0_iProver_subset_1)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,X2_iProver_subset_1) ),
    inference(subtyping,[status(esa)],[c_73]) ).

tcf(c_897,plain,
    ! [X0_iProver_member_1: iProver_member_1,X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1,X2_iProver_subset_1: iProver_subset_1] :
      ( member(X0_iProver_member_1,X1_iProver_subset_1)
      | ~ member(X0_iProver_member_1,X2_iProver_subset_1)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,X2_iProver_subset_1) ),
    inference(subtyping,[status(esa)],[c_72]) ).

tcf(c_898,plain,
    ! [X0_iProver_member_1: iProver_member_1,X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1,X2_iProver_subset_1: iProver_subset_1] :
      ( member(X0_iProver_member_1,X0_iProver_subset_1)
      | ~ member(X0_iProver_member_1,X2_iProver_subset_1)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,X2_iProver_subset_1) ),
    inference(subtyping,[status(esa)],[c_71]) ).

tcf(c_900,plain,
    intersection(a,bIc,aIbIc),
    inference(subtyping,[status(esa)],[c_79]) ).

tcf(c_901,plain,
    intersection(b,c,bIc),
    inference(subtyping,[status(esa)],[c_78]) ).

tcf(c_902,plain,
    intersection(a,b,aIb),
    inference(subtyping,[status(esa)],[c_77]) ).

tcf(c_910,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),aIbIc)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,aIbIc)
      | ~ member(h(aIb,c,aIbIc),X1_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),X0_iProver_subset_1) ),
    inference(instantiation,[status(thm)],[c_896]) ).

tcf(c_929,plain,
    ( member(h(aIb,c,aIbIc),aIbIc)
    | ~ intersection(a,bIc,aIbIc)
    | ~ member(h(aIb,c,aIbIc),bIc)
    | ~ member(h(aIb,c,aIbIc),a) ),
    inference(instantiation,[status(thm)],[c_910]) ).

tcf(c_936,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),a)
      | ~ subset(X0_iProver_subset_1,a)
      | ~ member(h(aIb,c,aIbIc),X0_iProver_subset_1) ),
    inference(instantiation,[status(thm)],[c_892]) ).

tcf(c_973,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1,X2_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),X2_iProver_subset_1)
      | ~ intersection(X1_iProver_subset_1,X2_iProver_subset_1,X0_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),X0_iProver_subset_1) ),
    inference(instantiation,[status(thm)],[c_897]) ).

tcf(c_974,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),X1_iProver_subset_1)
      | ~ subset(X0_iProver_subset_1,X1_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),X0_iProver_subset_1) ),
    inference(instantiation,[status(thm)],[c_892]) ).

tcf(c_975,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1,X2_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),X2_iProver_subset_1)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,X2_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),X1_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),X0_iProver_subset_1) ),
    inference(instantiation,[status(thm)],[c_896]) ).

tcf(c_1049,plain,
    ! [X0_iProver_member_1: iProver_member_1] :
      ( member(X0_iProver_member_1,c)
      | ~ member(X0_iProver_member_1,bIc) ),
    inference(superposition,[status(thm)],[c_901,c_897]) ).

tcf(c_1050,plain,
    ! [X0_iProver_member_1: iProver_member_1] :
      ( member(X0_iProver_member_1,bIc)
      | ~ member(X0_iProver_member_1,aIbIc) ),
    inference(superposition,[status(thm)],[c_900,c_897]) ).

tcf(c_1066,plain,
    ( member(h(aIb,c,aIbIc),a)
    | ~ subset(aIb,a)
    | ~ member(h(aIb,c,aIbIc),aIb) ),
    inference(instantiation,[status(thm)],[c_936]) ).

tcf(c_1088,plain,
    ! [X0_iProver_member_1: iProver_member_1] :
      ( member(X0_iProver_member_1,a)
      | ~ member(X0_iProver_member_1,aIb) ),
    inference(superposition,[status(thm)],[c_902,c_898]) ).

tcf(c_1089,plain,
    ! [X0_iProver_member_1: iProver_member_1] :
      ( member(X0_iProver_member_1,b)
      | ~ member(X0_iProver_member_1,bIc) ),
    inference(superposition,[status(thm)],[c_901,c_898]) ).

tcf(c_1090,plain,
    ! [X0_iProver_member_1: iProver_member_1] :
      ( member(X0_iProver_member_1,a)
      | ~ member(X0_iProver_member_1,aIbIc) ),
    inference(superposition,[status(thm)],[c_900,c_898]) ).

tcf(c_1113,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),X1_iProver_subset_1)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,aIb)
      | ~ member(h(aIb,c,aIbIc),aIb) ),
    inference(instantiation,[status(thm)],[c_973]) ).

tcf(c_1181,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),X0_iProver_subset_1)
      | ~ subset(aIbIc,X0_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),aIbIc) ),
    inference(instantiation,[status(thm)],[c_974]) ).

tcf(c_1340,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIb,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIb,X0_iProver_subset_1),a) ),
    inference(superposition,[status(thm)],[c_891,c_1088]) ).

tcf(c_1343,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIbIc,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),bIc) ),
    inference(superposition,[status(thm)],[c_891,c_1050]) ).

tcf(c_1477,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIbIc,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),a) ),
    inference(superposition,[status(thm)],[c_891,c_1090]) ).

tcf(c_1500,plain,
    ! [X0_iProver_subset_1: iProver_subset_1,X1_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),bIc)
      | ~ intersection(X0_iProver_subset_1,X1_iProver_subset_1,bIc)
      | ~ member(h(aIb,c,aIbIc),X1_iProver_subset_1)
      | ~ member(h(aIb,c,aIbIc),X0_iProver_subset_1) ),
    inference(instantiation,[status(thm)],[c_975]) ).

tcf(c_1708,plain,
    ( member(h(aIb,c,aIbIc),c)
    | ~ subset(aIbIc,c)
    | ~ member(h(aIb,c,aIbIc),aIbIc) ),
    inference(instantiation,[status(thm)],[c_1181]) ).

tcf(c_1803,plain,
    subset(aIb,a),
    inference(superposition,[status(thm)],[c_1340,c_890]) ).

tcf(c_1970,plain,
    ( member(h(aIb,c,aIbIc),bIc)
    | ~ intersection(b,c,bIc)
    | ~ member(h(aIb,c,aIbIc),c)
    | ~ member(h(aIb,c,aIbIc),b) ),
    inference(instantiation,[status(thm)],[c_1500]) ).

tcf(c_1985,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIbIc,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),c) ),
    inference(superposition,[status(thm)],[c_1343,c_1049]) ).

tcf(c_1992,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIbIc,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),b) ),
    inference(superposition,[status(thm)],[c_1343,c_1089]) ).

tcf(c_2417,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( member(h(aIb,c,aIbIc),b)
      | ~ intersection(X0_iProver_subset_1,b,aIb)
      | ~ member(h(aIb,c,aIbIc),aIb) ),
    inference(instantiation,[status(thm)],[c_1113]) ).

tcf(c_2418,plain,
    ( member(h(aIb,c,aIbIc),b)
    | ~ intersection(a,b,aIb)
    | ~ member(h(aIb,c,aIbIc),aIb) ),
    inference(instantiation,[status(thm)],[c_2417]) ).

tcf(c_2424,plain,
    ( member(h(aIb,c,aIbIc),b)
    | ~ subset(aIbIc,b)
    | ~ member(h(aIb,c,aIbIc),aIbIc) ),
    inference(instantiation,[status(thm)],[c_1181]) ).

tcf(c_2442,plain,
    ! [X0_iProver_member_1: iProver_member_1] :
      ( member(X0_iProver_member_1,aIb)
      | ~ member(X0_iProver_member_1,b)
      | ~ member(X0_iProver_member_1,a) ),
    inference(superposition,[status(thm)],[c_902,c_896]) ).

tcf(c_2560,plain,
    subset(aIbIc,c),
    inference(superposition,[status(thm)],[c_1985,c_890]) ).

tcf(c_2776,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIbIc,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),aIb)
      | ~ member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),b) ),
    inference(superposition,[status(thm)],[c_1477,c_2442]) ).

tcf(c_2795,plain,
    ( member(h(aIb,c,aIbIc),aIb)
    | ~ subset(aIbIc,aIb)
    | ~ member(h(aIb,c,aIbIc),aIbIc) ),
    inference(instantiation,[status(thm)],[c_1181]) ).

tcf(c_3006,plain,
    subset(aIbIc,b),
    inference(superposition,[status(thm)],[c_1992,c_890]) ).

tcf(c_3998,plain,
    ! [X0_iProver_subset_1: iProver_subset_1] :
      ( subset(aIbIc,X0_iProver_subset_1)
      | member(member_of_1_not_of_2(aIbIc,X0_iProver_subset_1),aIb) ),
    inference(global_subsumption_just,[status(thm)],[c_2776,c_1992,c_2776]) ).

tcf(c_4000,plain,
    subset(aIbIc,aIb),
    inference(superposition,[status(thm)],[c_3998,c_890]) ).

tcf(c_4003,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4000,c_3006,c_2795,c_2560,c_2424,c_2418,c_1970,c_1803,c_1708,c_1066,c_929,c_424,c_417,c_407,c_77,c_78,c_79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SET005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40  % Computer : n018.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.40  % CPULimit : 300
% 0.14/0.40  % WCLimit  : 300
% 0.14/0.40  % DateTime : Thu Sep 24 09:06:33 UTC 2026
% 0.14/0.40  % CPUTime  : 
% 0.14/0.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.46  Running first-order theorem proving
% 0.14/0.46  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
% 0.14/0.48  
% 0.14/0.48  % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.48  
% 0.14/0.48  % Detected problem language: tptp
% 0.14/0.50  % Proving...
% 2.83/1.38  % SZS status Started for theBenchmark.p
% 2.83/1.38  % SZS status Unsatisfiable for theBenchmark.p
% 2.83/1.38  
% 2.83/1.38  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.83/1.38  
% 2.83/1.38  % ------  iProver source info
% 2.83/1.38  
% 2.83/1.38  % git: date: 2026-07-19 20:42:38 +0200
% 2.83/1.38  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.83/1.38  % git: non_committed_changes: false
% 2.83/1.38  
% 2.83/1.38  % ------ Parsing...% successful
% 2.83/1.38  
% 2.83/1.38  
% 2.83/1.38  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.83/1.38  
% 2.83/1.38  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.83/1.38  
% 2.83/1.38  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.83/1.38  % ------ Proving...
% 2.83/1.38  % ------ Problem Properties 
% 2.83/1.38  
% 2.83/1.38  % 
% 2.83/1.38  % clauses                               13
% 2.83/1.38  % conjectures                           1
% 2.83/1.38  % EPR                                   8
% 2.83/1.38  % Horn                                  10
% 2.83/1.38  % unary                                 4
% 2.83/1.38  % binary                                2
% 2.83/1.38  % lits                                  31
% 2.83/1.38  % lits eq                               0
% 2.83/1.38  % fd_pure                               0
% 2.83/1.38  % fd_pseudo                             0
% 2.83/1.38  % fd_cond                               0
% 2.83/1.38  % fd_pseudo_cond                        0
% 2.83/1.38  % AC symbols                            0
% 2.83/1.38  
% 2.83/1.38  % ------ Input Options Time Limit: Unbounded
% 2.83/1.38  
% 2.83/1.38  
% 2.83/1.38  % ------ 
% 2.83/1.38  % Current options:
% 2.83/1.38  % ------ 
% 2.83/1.38  
% 2.83/1.38  
% 2.83/1.38  % 
% 2.83/1.38  
% 2.83/1.38  % ------ Proving...
% 2.83/1.38  % 
% 2.83/1.38  
% 2.83/1.38  % SZS status Unsatisfiable for theBenchmark.p
% 2.83/1.38  
% 2.83/1.38  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.83/1.38  
% 2.83/1.38  
%------------------------------------------------------------------------------