%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ITP004+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 07:41:17 AM UTC 2026
% Result : Theorem 7.43s 6.50s
% Output : CNFRefutation 7.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 14 unt; 0 def)
% Number of atoms : 175 ( 6 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 209 ( 86 ~; 88 |; 14 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 81 ( 0 sgn 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ap_tp,axiom,
! [A,B,F] :
( mem(F,arr(A,B))
=> ! [X] :
( mem(X,A)
=> mem(ap(F,X),B) ) ),
file('theBenchmark.p',ap_tp) ).
fof(mem_c_2Epred__set_2ECHOICE,axiom,
! [A_27a] :
( ne(A_27a)
=> mem(c_2Epred__set_2ECHOICE(A_27a),arr(arr(A_27a,bool),A_27a)) ),
file('theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).
fof(mem_c_2Epred__set_2EREST,axiom,
! [A_27a] :
( ne(A_27a)
=> mem(c_2Epred__set_2EREST(A_27a),arr(arr(A_27a,bool),arr(A_27a,bool))) ),
file('theBenchmark.p',mem_c_2Epred__set_2EREST) ).
fof(ax_thm_2Epred__set_2ESUBSET__DEF,axiom,
! [A_27a] :
( ne(A_27a)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> ! [V1t] :
( mem(V1t,arr(A_27a,bool))
=> ( p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t))
<=> ! [V2x] :
( mem(V2x,A_27a)
=> ( p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))
=> p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t)) ) ) ) ) ) ),
file('theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).
fof(conj_thm_2Epred__set_2EIN__DELETE,axiom,
! [A_27a] :
( ne(A_27a)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> ! [V1x] :
( mem(V1x,A_27a)
=> ! [V2y] :
( mem(V2y,A_27a)
=> ( p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),V2y)))
<=> ( V1x != V2y
& p(ap(ap(c_2Ebool_2EIN(A_27a),V1x),V0s)) ) ) ) ) ) ),
file('theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).
fof(ax_thm_2Epred__set_2EREST__DEF,axiom,
! [A_27a] :
( ne(A_27a)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> ap(c_2Epred__set_2EREST(A_27a),V0s) = ap(ap(c_2Epred__set_2EDELETE(A_27a),V0s),ap(c_2Epred__set_2ECHOICE(A_27a),V0s)) ) ),
file('theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).
fof(conj_thm_2Epred__set_2EREST__SUBSET,conjecture,
! [A_27a] :
( ne(A_27a)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),ap(c_2Epred__set_2EREST(A_27a),V0s)),V0s)) ) ),
file('theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).
fof(conj_thm_2Epred__set_2EREST__SUBSET_neg,negated_conjecture,
~ ! [A_27a] :
( ne(A_27a)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),ap(c_2Epred__set_2EREST(A_27a),V0s)),V0s)) ) ),
inference(assume_negation,[status(cth)],[conj_thm_2Epred__set_2EREST__SUBSET]) ).
cnf(c_26,plain,
( mem(ap(A,D),C)
| ~ mem(D,B)
| ~ mem(A,arr(B,C)) ),
inference(clausify,[status(thm)],[ap_tp]) ).
cnf(c_46,plain,
( mem(c_2Epred__set_2ECHOICE(A),arr(arr(A,bool),A))
| ~ ne(A) ),
inference(clausify,[status(thm)],[mem_c_2Epred__set_2ECHOICE]) ).
cnf(c_48,plain,
( mem(c_2Epred__set_2EREST(A),arr(arr(A,bool),arr(A,bool)))
| ~ ne(A) ),
inference(clausify,[status(thm)],[mem_c_2Epred__set_2EREST]) ).
fof(nnf_19,plain,
! [A_27a] :
( ! [V0s] :
( ! [V1t] :
( ( ( ? [V2x] :
( ~ p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V1t))
& p(ap(ap(c_2Ebool_2EIN(A_27a),V2x),V0s))
& mem(V2x,A_27a) )
| p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t)) )
& ( ! [X0] :
( p(ap(ap(c_2Ebool_2EIN(A_27a),X0),V1t))
| ~ p(ap(ap(c_2Ebool_2EIN(A_27a),X0),V0s))
| ~ mem(X0,A_27a) )
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t)) ) )
| ~ mem(V1t,arr(A_27a,bool)) )
| ~ mem(V0s,arr(A_27a,bool)) )
| ~ ne(A_27a) ),
inference(fof_nnf,[status(thm)],[ax_thm_2Epred__set_2ESUBSET__DEF]) ).
fof(sk_ax_thm_2Epred__set_2ESUBSET__DEF_sk,plain,
! [A_27a] :
( ! [V0s] :
( ! [V1t] :
( ( ( ( ~ p(ap(ap(c_2Ebool_2EIN(A_27a),sK0(A_27a,V0s,V1t)),V1t))
& p(ap(ap(c_2Ebool_2EIN(A_27a),sK0(A_27a,V0s,V1t)),V0s))
& mem(sK0(A_27a,V0s,V1t),A_27a) )
| p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t)) )
& ( ! [X0] :
( p(ap(ap(c_2Ebool_2EIN(A_27a),X0),V1t))
| ~ p(ap(ap(c_2Ebool_2EIN(A_27a),X0),V0s))
| ~ mem(X0,A_27a) )
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),V0s),V1t)) ) )
| ~ mem(V1t,arr(A_27a,bool)) )
| ~ mem(V0s,arr(A_27a,bool)) )
| ~ ne(A_27a) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(V2x,sK0(A_27a,V0s,V1t))],[nnf_19]) ).
fof(sk_ax_thm_2Epred__set_2ESUBSET__DEF,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( ~ p(ap(ap(c_2Ebool_2EIN(VAR_0),sK0(VAR_0,VAR_1,VAR_2)),VAR_2))
| p(ap(ap(c_2Epred__set_2ESUBSET(VAR_0),VAR_1),VAR_2))
| ~ mem(VAR_2,arr(VAR_0,bool))
| ~ mem(VAR_1,arr(VAR_0,bool))
| ~ ne(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( p(ap(ap(c_2Ebool_2EIN(VAR_0),sK0(VAR_0,VAR_1,VAR_2)),VAR_1))
| p(ap(ap(c_2Epred__set_2ESUBSET(VAR_0),VAR_1),VAR_2))
| ~ mem(VAR_2,arr(VAR_0,bool))
| ~ mem(VAR_1,arr(VAR_0,bool))
| ~ ne(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( mem(sK0(VAR_0,VAR_1,VAR_2),VAR_0)
| p(ap(ap(c_2Epred__set_2ESUBSET(VAR_0),VAR_1),VAR_2))
| ~ mem(VAR_2,arr(VAR_0,bool))
| ~ mem(VAR_1,arr(VAR_0,bool))
| ~ ne(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p(ap(ap(c_2Ebool_2EIN(VAR_0),VAR_3),VAR_2))
| ~ p(ap(ap(c_2Ebool_2EIN(VAR_0),VAR_3),VAR_1))
| ~ mem(VAR_3,VAR_0)
| ~ p(ap(ap(c_2Epred__set_2ESUBSET(VAR_0),VAR_1),VAR_2))
| ~ mem(VAR_2,arr(VAR_0,bool))
| ~ mem(VAR_1,arr(VAR_0,bool))
| ~ ne(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_ax_thm_2Epred__set_2ESUBSET__DEF_sk]) ).
cnf(c_57,plain,
( mem(sK0(A,B,C),A)
| p(ap(ap(c_2Epred__set_2ESUBSET(A),B),C))
| ~ mem(C,arr(A,bool))
| ~ mem(B,arr(A,bool))
| ~ ne(A) ),
inference(split_conjunct,[status(thm)],[sk_ax_thm_2Epred__set_2ESUBSET__DEF]) ).
cnf(c_58,plain,
( p(ap(ap(c_2Ebool_2EIN(A),sK0(A,B,C)),B))
| p(ap(ap(c_2Epred__set_2ESUBSET(A),B),C))
| ~ mem(C,arr(A,bool))
| ~ mem(B,arr(A,bool))
| ~ ne(A) ),
inference(split_conjunct,[status(thm)],[sk_ax_thm_2Epred__set_2ESUBSET__DEF]) ).
cnf(c_59,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(A),sK0(A,B,C)),C))
| p(ap(ap(c_2Epred__set_2ESUBSET(A),B),C))
| ~ mem(C,arr(A,bool))
| ~ mem(B,arr(A,bool))
| ~ ne(A) ),
inference(split_conjunct,[status(thm)],[sk_ax_thm_2Epred__set_2ESUBSET__DEF]) ).
cnf(c_60,plain,
( p(ap(ap(c_2Ebool_2EIN(A),C),B))
| ~ p(ap(ap(c_2Ebool_2EIN(A),C),ap(ap(c_2Epred__set_2EDELETE(A),B),D)))
| ~ mem(D,A)
| ~ mem(C,A)
| ~ mem(B,arr(A,bool))
| ~ ne(A) ),
inference(clausify,[status(thm)],[conj_thm_2Epred__set_2EIN__DELETE]) ).
cnf(c_63,plain,
( ap(c_2Epred__set_2EREST(A),B) = ap(ap(c_2Epred__set_2EDELETE(A),B),ap(c_2Epred__set_2ECHOICE(A),B))
| ~ mem(B,arr(A,bool))
| ~ ne(A) ),
inference(clausify,[status(thm)],[ax_thm_2Epred__set_2EREST__DEF]) ).
cnf(c_64,plain,
( ap(ap(c_2Epred__set_2EDELETE(A),B),ap(c_2Epred__set_2ECHOICE(A),B)) = ap(c_2Epred__set_2EREST(A),B)
| ~ mem(B,arr(A,bool))
| ~ ne(A) ),
inference(copy,[status(thm)],[c_63]) ).
fof(nnf_22,plain,
? [A_27a] :
( ? [V0s] :
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(A_27a),ap(c_2Epred__set_2EREST(A_27a),V0s)),V0s))
& mem(V0s,arr(A_27a,bool)) )
& ne(A_27a) ),
inference(fof_nnf,[status(thm)],[conj_thm_2Epred__set_2EREST__SUBSET_neg]) ).
fof(sk_conj_thm_2Epred__set_2EREST__SUBSET_neg,plain,
( ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK2)),sK2))
& mem(sK2,arr(sK1,bool))
& ne(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(A_27a,sK1),skolemize(V0s,sK2)],[nnf_22]) ).
cnf(c_65,negated_conjecture,
ne(sK1),
inference(split_conjunct,[status(thm)],[sk_conj_thm_2Epred__set_2EREST__SUBSET_neg]) ).
cnf(c_66,negated_conjecture,
mem(sK2,arr(sK1,bool)),
inference(split_conjunct,[status(thm)],[sk_conj_thm_2Epred__set_2EREST__SUBSET_neg]) ).
cnf(c_67,negated_conjecture,
~ p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK2)),sK2)),
inference(split_conjunct,[status(thm)],[sk_conj_thm_2Epred__set_2EREST__SUBSET_neg]) ).
cnf(c_166,plain,
mem(c_2Epred__set_2EREST(sK1),arr(arr(sK1,bool),arr(sK1,bool))),
inference(resolve,[status(thm)],[c_65,c_48]) ).
cnf(c_168,plain,
mem(c_2Epred__set_2ECHOICE(sK1),arr(arr(sK1,bool),sK1)),
inference(resolve,[status(thm)],[c_65,c_46]) ).
cnf(c_7337,negated_conjecture,
( ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),ap(c_2Epred__set_2ECHOICE(sK1),sK2)) = ap(c_2Epred__set_2EREST(sK1),sK2)
| ~ ne(sK1) ),
inference(resolve,[status(thm)],[c_66,c_64]) ).
cnf(c_173,negated_conjecture,
ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),ap(c_2Epred__set_2ECHOICE(sK1),sK2)) = ap(c_2Epred__set_2EREST(sK1),sK2),
inference(resolve,[status(thm)],[c_65,c_7337]) ).
cnf(c_7338,negated_conjecture,
( p(ap(ap(c_2Ebool_2EIN(sK1),A),sK2))
| ~ p(ap(ap(c_2Ebool_2EIN(sK1),A),ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),B)))
| ~ mem(B,sK1)
| ~ mem(A,sK1)
| ~ ne(sK1) ),
inference(resolve,[status(thm)],[c_66,c_60]) ).
cnf(c_182,negated_conjecture,
( p(ap(ap(c_2Ebool_2EIN(sK1),A),sK2))
| ~ p(ap(ap(c_2Ebool_2EIN(sK1),A),ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),B)))
| ~ mem(B,sK1)
| ~ mem(A,sK1) ),
inference(resolve,[status(thm)],[c_65,c_7338]) ).
cnf(c_7339,negated_conjecture,
( ~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,A,sK2)),sK2))
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),A),sK2))
| ~ mem(A,arr(sK1,bool))
| ~ ne(sK1) ),
inference(resolve,[status(thm)],[c_66,c_59]) ).
cnf(c_183,negated_conjecture,
( ~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,A,sK2)),sK2))
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),A),sK2))
| ~ mem(A,arr(sK1,bool)) ),
inference(resolve,[status(thm)],[c_65,c_7339]) ).
cnf(c_7340,negated_conjecture,
( p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,A,sK2)),A))
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),A),sK2))
| ~ mem(A,arr(sK1,bool))
| ~ ne(sK1) ),
inference(resolve,[status(thm)],[c_66,c_58]) ).
cnf(c_185,negated_conjecture,
( p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,A,sK2)),A))
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),A),sK2))
| ~ mem(A,arr(sK1,bool)) ),
inference(resolve,[status(thm)],[c_65,c_7340]) ).
cnf(c_7341,negated_conjecture,
( mem(sK0(sK1,A,sK2),sK1)
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),A),sK2))
| ~ mem(A,arr(sK1,bool))
| ~ ne(sK1) ),
inference(resolve,[status(thm)],[c_66,c_57]) ).
cnf(c_187,negated_conjecture,
( mem(sK0(sK1,A,sK2),sK1)
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),A),sK2))
| ~ mem(A,arr(sK1,bool)) ),
inference(resolve,[status(thm)],[c_65,c_7341]) ).
cnf(c_206,plain,
( mem(ap(A,sK2),B)
| ~ mem(A,arr(arr(sK1,bool),B)) ),
inference(resolve,[status(thm)],[c_66,c_26]) ).
cnf(c_1853,plain,
( mem(ap(c_2Epred__set_2ECHOICE(sK1),A),sK1)
| ~ mem(A,arr(sK1,bool)) ),
inference(resolve,[status(thm)],[c_168,c_26]) ).
cnf(c_3118,plain,
mem(ap(c_2Epred__set_2ECHOICE(sK1),sK2),sK1),
inference(resolve,[status(thm)],[c_1853,c_66]) ).
cnf(c_4202,plain,
mem(ap(c_2Epred__set_2EREST(sK1),sK2),arr(sK1,bool)),
inference(resolve,[status(thm)],[c_206,c_166]) ).
cnf(c_7342,plain,
( mem(sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2),sK1)
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK2)),sK2)) ),
inference(resolve,[status(thm)],[c_4202,c_187]) ).
cnf(c_4224,negated_conjecture,
mem(sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2),sK1),
inference(resolve,[status(thm)],[c_67,c_7342]) ).
cnf(c_7343,plain,
( p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),ap(c_2Epred__set_2EREST(sK1),sK2)))
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK2)),sK2)) ),
inference(resolve,[status(thm)],[c_4202,c_185]) ).
cnf(c_4226,negated_conjecture,
p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),ap(c_2Epred__set_2EREST(sK1),sK2))),
inference(resolve,[status(thm)],[c_67,c_7343]) ).
cnf(c_7344,plain,
( ~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),sK2))
| p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK2)),sK2)) ),
inference(resolve,[status(thm)],[c_4202,c_183]) ).
cnf(c_4228,negated_conjecture,
~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),sK2)),
inference(resolve,[status(thm)],[c_67,c_7344]) ).
cnf(c_7345,plain,
( p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),sK2))
| ~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),A)))
| ~ mem(A,sK1) ),
inference(resolve,[status(thm)],[c_182,c_4224]) ).
cnf(c_7346,plain,
( p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),sK2))
| ~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),ap(c_2Epred__set_2ECHOICE(sK1),sK2)))) ),
inference(resolve,[status(thm)],[c_7345,c_3118]) ).
cnf(c_7327,plain,
~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),ap(ap(c_2Epred__set_2EDELETE(sK1),sK2),ap(c_2Epred__set_2ECHOICE(sK1),sK2)))),
inference(resolve,[status(thm)],[c_7346,c_4228]) ).
cnf(c_7347,plain,
~ p(ap(ap(c_2Ebool_2EIN(sK1),sK0(sK1,ap(c_2Epred__set_2EREST(sK1),sK2),sK2)),ap(c_2Epred__set_2EREST(sK1),sK2))),
inference(paramod,[status(thm)],[c_173,c_7327]) ).
cnf(c_7336,plain,
$false,
inference(resolve,[status(thm)],[c_4226,c_7347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP004+2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.41 % Computer : n008.cluster.edu
% 0.12/5.41 % Model : x86_64 x86_64
% 0.12/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.41 % Memory : 8046.5625MB
% 0.12/5.41 % OS : Linux 6.8.0-71-generic
% 0.12/5.42 % CPULimit : 300
% 0.12/5.42 % WCLimit : 300
% 0.12/5.42 % DateTime : Fri Sep 25 17:03:29 UTC 2026
% 0.12/5.42 % CPUTime :
% 0.12/5.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/5.42 % Process 1501303 was started by sandbox2 on n008,
% 0.12/5.42 % Fri Sep 25 17:03:29 2026
% 0.12/5.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/5.43
% 0.12/5.43 % From the command line: assign(max_seconds, 300).
% 7.43/6.50
% 7.43/6.50 % given #500 (T,wt=29): 1873 p(ap(c_2Ebool_2E_21(c1),c2)) | ap(k(c1,A),f2(c1,c2)) = A. [resolve(193,b,31,a)].
% 7.43/6.50
% 7.43/6.50 % SZS status Theorem for theBenchmark
% 7.43/6.50
% 7.43/6.50 % Proof 1 at 0.85 (+ 0.18) seconds.
% 7.43/6.50 % Length of proof is 35.
% 7.43/6.50 % Level of proof is 6.
% 7.43/6.50 % Maximum clause weight is 65.000.
% 7.43/6.50 % Given clauses 510.
% 7.43/6.50
% 7.43/6.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
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