%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 08:20:54 AM UTC 2026
% Result : Theorem 27.78s 4.40s
% Output : CNFRefutation 27.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 26
% Syntax : Number of formulae : 183 ( 58 unt; 0 def)
% Number of atoms : 532 ( 33 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 560 ( 211 ~; 236 |; 90 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 309 ( 18 sgn 149 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_02,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('theBenchmark.p',sos_02) ).
fof(sos_07,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('theBenchmark.p',sos_07) ).
fof(sos_08,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('theBenchmark.p',sos_08) ).
fof(sos_13,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('theBenchmark.p',sos_13) ).
fof(sos_14,axiom,
! [X35,X36,X37] :
( min_precedes(X35,X36,X37)
=> ~ root(X36,X37) ),
file('theBenchmark.p',sos_14) ).
fof(sos_16,axiom,
! [X41,X42] :
( root(X41,X42)
=> legal(X41) ),
file('theBenchmark.p',sos_16) ).
fof(sos_21,axiom,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) ) ),
file('theBenchmark.p',sos_21) ).
fof(sos_22,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('theBenchmark.p',sos_22) ).
fof(sos_25,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('theBenchmark.p',sos_25) ).
fof(sos_27,axiom,
! [X76,X77] :
( ( ~ atomic(X76)
& occurrence_of(X77,X76) )
=> ? [X78] :
( subactivity_occurrence(X78,X77)
& root(X78,X76) ) ),
file('theBenchmark.p',sos_27) ).
fof(sos_29,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('theBenchmark.p',sos_29) ).
fof(sos_33,axiom,
! [X99,X100] :
( root_occ(X99,X100)
<=> ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) ) ),
file('theBenchmark.p',sos_33) ).
fof(sos_34,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('theBenchmark.p',sos_34) ).
fof(sos_36,axiom,
! [X109,X110,X111,X112] :
( ( leaf_occ(X110,X111)
& leaf_occ(X109,X111)
& ~ atomic(X112)
& occurrence_of(X111,X112) )
=> X109 = X110 ),
file('theBenchmark.p',sos_36) ).
fof(sos_37,axiom,
! [X113,X114,X115] :
( ( leaf_occ(X114,X113)
& occurrence_of(X113,X115) )
=> ~ ? [X116] : min_precedes(X114,X116,X115) ),
file('theBenchmark.p',sos_37) ).
fof(sos_38,axiom,
! [X117,X118,X119] :
( ( root_occ(X118,X117)
& occurrence_of(X117,X119) )
=> ~ ? [X120] : min_precedes(X120,X118,X119) ),
file('theBenchmark.p',sos_38) ).
fof(sos_42,axiom,
! [X134,X135,X136,X137] :
( ( ~ min_precedes(X137,X136,X134)
& arboreal(X136)
& root_occ(X137,X135)
& subactivity_occurrence(X136,X135)
& occurrence_of(X135,X134) )
=> X137 = X136 ),
file('theBenchmark.p',sos_42) ).
fof(sos_45,axiom,
! [X145,X146] :
( ( ~ atomic(X146)
& leaf(X145,X146) )
=> ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
file('theBenchmark.p',sos_45) ).
fof(sos_47,axiom,
! [X151,X152,X153,X154,X155] :
( ( X153 != X154
& min_precedes(X153,X155,X151)
& subactivity_occurrence(X153,X152)
& leaf_occ(X155,X152)
& root_occ(X154,X152)
& occurrence_of(X152,X151) )
=> min_precedes(X154,X153,X151) ),
file('theBenchmark.p',sos_47) ).
fof(sos_49,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163] :
( next_subocc(X162,X163,tptp0)
& leaf_occ(X163,X161)
& occurrence_of(X163,tptp3)
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) ) ),
file('theBenchmark.p',sos_49) ).
fof(sos_62,axiom,
! [X164,X165] :
( ( ~ leaf_occ(X164,X165)
& arboreal(X164)
& subactivity_occurrence(X164,X165)
& occurrence_of(X165,tptp0) )
=> root_occ(X164,X165) ),
file('theBenchmark.p',sos_62) ).
fof(sos_64,axiom,
! [X168,X169] :
( ( ~ leaf_occ(X168,X169)
& arboreal(X168)
& subactivity_occurrence(X168,X169)
& occurrence_of(X169,tptp0) )
=> ? [X170] :
( next_subocc(X168,X170,tptp0)
& occurrence_of(X170,tptp1) ) ),
file('theBenchmark.p',sos_64) ).
fof(goals,conjecture,
~ ? [X171] : occurrence_of(X171,tptp0),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ~ ? [X171] : occurrence_of(X171,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_85,plain,
( ~ root(B,C)
| ~ min_precedes(A,B,C) ),
inference(clausify,[status(thm)],[sos_14]) ).
cnf(c_86,plain,
( legal(A)
| ~ root(A,B) ),
inference(clausify,[status(thm)],[sos_16]) ).
fof(nnf_28,plain,
! [X76,X77] :
( ? [X78] :
( subactivity_occurrence(X78,X77)
& root(X78,X76) )
| atomic(X76)
| ~ occurrence_of(X77,X76) ),
inference(fof_nnf,[status(thm)],[sos_27]) ).
fof(sk_sos_27_sk,plain,
! [X76,X77] :
( ( subactivity_occurrence(sK0(X76,X77),X77)
& root(sK0(X76,X77),X76) )
| atomic(X76)
| ~ occurrence_of(X77,X76) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X78,sK0(X76,X77))],[nnf_28]) ).
fof(sk_sos_27,plain,
( ! [VAR_0,VAR_1] :
( subactivity_occurrence(sK0(VAR_1,VAR_0),VAR_0)
| atomic(VAR_1)
| ~ occurrence_of(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( root(sK0(VAR_1,VAR_0),VAR_1)
| atomic(VAR_1)
| ~ occurrence_of(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_27_sk]) ).
cnf(c_92,plain,
( root(sK0(B,A),B)
| atomic(B)
| ~ occurrence_of(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_27]) ).
fof(nnf_34,plain,
! [X99,X100] :
( ( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ( ? [X172] :
( root(X99,X172)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X172) )
| ~ root_occ(X99,X100) ) ),
inference(fof_nnf,[status(thm)],[sos_33]) ).
fof(sk_sos_33_sk,plain,
! [X99,X100] :
( ( ! [X101] :
( ~ root(X99,X101)
| ~ subactivity_occurrence(X99,X100)
| ~ occurrence_of(X100,X101) )
| root_occ(X99,X100) )
& ( ( root(X99,sK1(X99,X100))
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,sK1(X99,X100)) )
| ~ root_occ(X99,X100) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X172,sK1(X99,X100))],[nnf_34]) ).
fof(sk_sos_33,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( ~ root(VAR_0,VAR_2)
| ~ subactivity_occurrence(VAR_0,VAR_1)
| ~ occurrence_of(VAR_1,VAR_2)
| root_occ(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( root(VAR_0,sK1(VAR_0,VAR_1))
| ~ root_occ(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( subactivity_occurrence(VAR_0,VAR_1)
| ~ root_occ(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( occurrence_of(VAR_1,sK1(VAR_0,VAR_1))
| ~ root_occ(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_33_sk]) ).
cnf(c_93,plain,
( root(A,sK1(A,B))
| ~ root_occ(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_33]) ).
cnf(c_94,plain,
( ~ root(A,C)
| ~ subactivity_occurrence(A,B)
| ~ occurrence_of(B,C)
| root_occ(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_33]) ).
fof(nnf_46,plain,
! [X145,X146] :
( ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) )
| atomic(X146)
| ~ leaf(X145,X146) ),
inference(fof_nnf,[status(thm)],[sos_45]) ).
fof(sk_sos_45_sk,plain,
! [X145,X146] :
( ( leaf_occ(X145,sK2(X145,X146))
& occurrence_of(sK2(X145,X146),X146) )
| atomic(X146)
| ~ leaf(X145,X146) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X147,sK2(X145,X146))],[nnf_46]) ).
fof(sk_sos_45,plain,
( ! [VAR_0,VAR_1] :
( leaf_occ(VAR_0,sK2(VAR_0,VAR_1))
| atomic(VAR_1)
| ~ leaf(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( occurrence_of(sK2(VAR_0,VAR_1),VAR_1)
| atomic(VAR_1)
| ~ leaf(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_45_sk]) ).
cnf(c_111,plain,
( leaf_occ(A,sK2(A,B))
| atomic(B)
| ~ leaf(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_45]) ).
cnf(c_112,plain,
( occurrence_of(sK2(A,B),B)
| atomic(B)
| ~ leaf(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_45]) ).
fof(nnf_22,plain,
! [X56,X57] :
( ( ? [X59] : min_precedes(X56,X59,X57)
| ( ! [X58] : ~ min_precedes(X58,X56,X57)
& ~ root(X56,X57) )
| leaf(X56,X57) )
& ( ( ! [X172] : ~ min_precedes(X56,X172,X57)
& ( ? [X173] : min_precedes(X173,X56,X57)
| root(X56,X57) ) )
| ~ leaf(X56,X57) ) ),
inference(fof_nnf,[status(thm)],[sos_21]) ).
fof(sk_sos_21_sk,plain,
! [X56,X57] :
( ( min_precedes(X56,sK3(X56,X57),X57)
| ( ! [X58] : ~ min_precedes(X58,X56,X57)
& ~ root(X56,X57) )
| leaf(X56,X57) )
& ( ( ! [X172] : ~ min_precedes(X56,X172,X57)
& ( min_precedes(sK10(X56,X57),X56,X57)
| root(X56,X57) ) )
| ~ leaf(X56,X57) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK3]),skolemize(X173,sK10(X56,X57)),skolemize(X59,sK3(X56,X57))],[nnf_22]) ).
fof(sk_sos_21,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( min_precedes(VAR_0,sK3(VAR_0,VAR_1),VAR_1)
| ~ min_precedes(VAR_2,VAR_0,VAR_1)
| leaf(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( min_precedes(VAR_0,sK3(VAR_0,VAR_1),VAR_1)
| ~ root(VAR_0,VAR_1)
| leaf(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1,VAR_2] :
( ~ min_precedes(VAR_0,VAR_2,VAR_1)
| ~ leaf(VAR_0,VAR_1) )
& ! [VAR_0,VAR_1] :
( min_precedes(sK10(VAR_0,VAR_1),VAR_0,VAR_1)
| root(VAR_0,VAR_1)
| ~ leaf(VAR_0,VAR_1) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_21_sk]) ).
cnf(c_115,plain,
( min_precedes(A,sK3(A,B),B)
| ~ min_precedes(C,A,B)
| leaf(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_21]) ).
cnf(c_124,plain,
( leaf_occ(B,sK2(B,C))
| atomic(C)
| min_precedes(B,sK3(B,C),C)
| ~ min_precedes(A,B,C) ),
inference(resolve,[status(thm)],[c_115,c_111]) ).
cnf(c_125,plain,
( occurrence_of(sK2(B,C),C)
| atomic(C)
| min_precedes(B,sK3(B,C),C)
| ~ min_precedes(A,B,C) ),
inference(resolve,[status(thm)],[c_115,c_112]) ).
cnf(c_192,plain,
( C = B
| ~ occurrence_of(A,C)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_02]) ).
cnf(c_197,plain,
( ~ atomic(B)
| arboreal(A)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_07]) ).
cnf(c_198,plain,
( arboreal(A)
| ~ legal(A) ),
inference(clausify,[status(thm)],[sos_08]) ).
fof(nnf_14,plain,
! [X31,X32,X33] :
( ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) )
| ~ min_precedes(X31,X32,X33) ),
inference(fof_nnf,[status(thm)],[sos_13]) ).
fof(sk_sos_13_sk,plain,
! [X31,X32,X33] :
( ( min_precedes(sK4(X31,X32,X33),X32,X33)
& root(sK4(X31,X32,X33),X33) )
| ~ min_precedes(X31,X32,X33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X34,sK4(X31,X32,X33))],[nnf_14]) ).
fof(sk_sos_13,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( min_precedes(sK4(VAR_0,VAR_1,VAR_2),VAR_1,VAR_2)
| ~ min_precedes(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( root(sK4(VAR_0,VAR_1,VAR_2),VAR_2)
| ~ min_precedes(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_13_sk]) ).
cnf(c_202,plain,
( min_precedes(sK4(A,B,C),B,C)
| ~ min_precedes(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_sos_13]) ).
cnf(c_204,plain,
( min_precedes(A,B,C)
| ~ next_subocc(A,B,C) ),
inference(clausify,[status(thm)],[sos_22]) ).
fof(nnf_26,plain,
! [X69,X70,X71] :
( ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) )
| ~ min_precedes(X70,X71,X69) ),
inference(fof_nnf,[status(thm)],[sos_25]) ).
fof(sk_sos_25_sk,plain,
! [X69,X70,X71] :
( ( subactivity_occurrence(X71,sK5(X69,X70,X71))
& subactivity_occurrence(X70,sK5(X69,X70,X71))
& occurrence_of(sK5(X69,X70,X71),X69) )
| ~ min_precedes(X70,X71,X69) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X72,sK5(X69,X70,X71))],[nnf_26]) ).
fof(sk_sos_25,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( subactivity_occurrence(VAR_1,sK5(VAR_2,VAR_0,VAR_1))
| ~ min_precedes(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( subactivity_occurrence(VAR_0,sK5(VAR_2,VAR_0,VAR_1))
| ~ min_precedes(VAR_0,VAR_1,VAR_2) )
& ! [VAR_0,VAR_1,VAR_2] :
( occurrence_of(sK5(VAR_2,VAR_0,VAR_1),VAR_2)
| ~ min_precedes(VAR_0,VAR_1,VAR_2) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_25_sk]) ).
cnf(c_210,plain,
( occurrence_of(sK5(C,A,B),C)
| ~ min_precedes(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_sos_25]) ).
cnf(c_212,plain,
( subactivity_occurrence(B,sK5(C,A,B))
| ~ min_precedes(A,B,C) ),
inference(split_conjunct,[status(thm)],[sk_sos_25]) ).
cnf(c_213,plain,
( subactivity_occurrence(sK0(B,A),A)
| atomic(B)
| ~ occurrence_of(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_27]) ).
cnf(c_215,plain,
( subactivity_occurrence(A,D)
| ~ subactivity_occurrence(B,D)
| ~ occurrence_of(D,C)
| ~ min_precedes(A,B,C) ),
inference(clausify,[status(thm)],[sos_29]) ).
cnf(c_218,plain,
( subactivity_occurrence(A,B)
| ~ root_occ(A,B) ),
inference(split_conjunct,[status(thm)],[sk_sos_33]) ).
cnf(c_220,plain,
( subactivity_occurrence(A,B)
| ~ leaf_occ(A,B) ),
inference(clausify,[status(thm)],[sos_34]) ).
cnf(c_222,plain,
( D = C
| ~ leaf_occ(D,A)
| ~ leaf_occ(C,A)
| atomic(B)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_36]) ).
cnf(c_223,plain,
( ~ min_precedes(C,D,B)
| ~ leaf_occ(C,A)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_37]) ).
cnf(c_224,plain,
( ~ min_precedes(D,C,B)
| ~ root_occ(C,A)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_38]) ).
cnf(c_228,plain,
( D = C
| min_precedes(D,C,B)
| ~ arboreal(C)
| ~ root_occ(D,A)
| ~ subactivity_occurrence(C,A)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_42]) ).
cnf(c_233,plain,
( min_precedes(C,E,B)
| E = C
| ~ min_precedes(E,D,B)
| ~ subactivity_occurrence(E,A)
| ~ leaf_occ(D,A)
| ~ root_occ(C,A)
| ~ occurrence_of(A,B) ),
inference(clausify,[status(thm)],[sos_47]) ).
fof(nnf_50,plain,
! [X161] :
( ? [X162,X163] :
( next_subocc(X162,X163,tptp0)
& leaf_occ(X163,X161)
& occurrence_of(X163,tptp3)
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) )
| ~ occurrence_of(X161,tptp0) ),
inference(fof_nnf,[status(thm)],[sos_49]) ).
fof(sk_sos_49_sk,plain,
! [X161] :
( ( next_subocc(sK6(X161),sK7(X161),tptp0)
& leaf_occ(sK7(X161),X161)
& occurrence_of(sK7(X161),tptp3)
& root_occ(sK6(X161),X161)
& occurrence_of(sK6(X161),tptp4) )
| ~ occurrence_of(X161,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X162,sK6(X161)),skolemize(X163,sK7(X161))],[nnf_50]) ).
fof(sk_sos_49,plain,
( ! [VAR_0] :
( next_subocc(sK6(VAR_0),sK7(VAR_0),tptp0)
| ~ occurrence_of(VAR_0,tptp0) )
& ! [VAR_0] :
( leaf_occ(sK7(VAR_0),VAR_0)
| ~ occurrence_of(VAR_0,tptp0) )
& ! [VAR_0] :
( occurrence_of(sK7(VAR_0),tptp3)
| ~ occurrence_of(VAR_0,tptp0) )
& ! [VAR_0] :
( root_occ(sK6(VAR_0),VAR_0)
| ~ occurrence_of(VAR_0,tptp0) )
& ! [VAR_0] :
( occurrence_of(sK6(VAR_0),tptp4)
| ~ occurrence_of(VAR_0,tptp0) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_49_sk]) ).
cnf(c_236,plain,
( root_occ(sK6(A),A)
| ~ occurrence_of(A,tptp0) ),
inference(split_conjunct,[status(thm)],[sk_sos_49]) ).
cnf(c_237,plain,
( occurrence_of(sK7(A),tptp3)
| ~ occurrence_of(A,tptp0) ),
inference(split_conjunct,[status(thm)],[sk_sos_49]) ).
cnf(c_238,plain,
( leaf_occ(sK7(A),A)
| ~ occurrence_of(A,tptp0) ),
inference(split_conjunct,[status(thm)],[sk_sos_49]) ).
cnf(c_239,plain,
( next_subocc(sK6(A),sK7(A),tptp0)
| ~ occurrence_of(A,tptp0) ),
inference(split_conjunct,[status(thm)],[sk_sos_49]) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('theBenchmark.p',sos_51) ).
cnf(c_240,plain,
~ atomic(tptp0),
inference(clausify,[status(thm)],[sos_51]) ).
fof(sos_55,axiom,
atomic(tptp1),
file('theBenchmark.p',sos_55) ).
cnf(c_244,plain,
atomic(tptp1),
inference(clausify,[status(thm)],[sos_55]) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('theBenchmark.p',sos_59) ).
cnf(c_249,plain,
tptp1 != tptp3,
inference(clausify,[status(thm)],[sos_59]) ).
cnf(c_250,plain,
tptp3 != tptp1,
inference(copy,[status(thm)],[c_249]) ).
cnf(c_255,plain,
( root_occ(B,A)
| leaf_occ(B,A)
| ~ arboreal(B)
| ~ subactivity_occurrence(B,A)
| ~ occurrence_of(A,tptp0) ),
inference(clausify,[status(thm)],[sos_62]) ).
fof(nnf_53,plain,
! [X168,X169] :
( ? [X170] :
( next_subocc(X168,X170,tptp0)
& occurrence_of(X170,tptp1) )
| leaf_occ(X168,X169)
| ~ arboreal(X168)
| ~ subactivity_occurrence(X168,X169)
| ~ occurrence_of(X169,tptp0) ),
inference(fof_nnf,[status(thm)],[sos_64]) ).
fof(sk_sos_64_sk,plain,
! [X168,X169] :
( ( next_subocc(X168,sK8(X168,X169),tptp0)
& occurrence_of(sK8(X168,X169),tptp1) )
| leaf_occ(X168,X169)
| ~ arboreal(X168)
| ~ subactivity_occurrence(X168,X169)
| ~ occurrence_of(X169,tptp0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X170,sK8(X168,X169))],[nnf_53]) ).
fof(sk_sos_64,plain,
( ! [VAR_0,VAR_1] :
( next_subocc(VAR_1,sK8(VAR_1,VAR_0),tptp0)
| leaf_occ(VAR_1,VAR_0)
| ~ arboreal(VAR_1)
| ~ subactivity_occurrence(VAR_1,VAR_0)
| ~ occurrence_of(VAR_0,tptp0) )
& ! [VAR_0,VAR_1] :
( occurrence_of(sK8(VAR_1,VAR_0),tptp1)
| leaf_occ(VAR_1,VAR_0)
| ~ arboreal(VAR_1)
| ~ subactivity_occurrence(VAR_1,VAR_0)
| ~ occurrence_of(VAR_0,tptp0) ) ),
inference(cnf_transformation,[status(thm)],[sk_sos_64_sk]) ).
cnf(c_256,plain,
( occurrence_of(sK8(B,A),tptp1)
| leaf_occ(B,A)
| ~ arboreal(B)
| ~ subactivity_occurrence(B,A)
| ~ occurrence_of(A,tptp0) ),
inference(split_conjunct,[status(thm)],[sk_sos_64]) ).
cnf(c_257,plain,
( next_subocc(B,sK8(B,A),tptp0)
| leaf_occ(B,A)
| ~ arboreal(B)
| ~ subactivity_occurrence(B,A)
| ~ occurrence_of(A,tptp0) ),
inference(split_conjunct,[status(thm)],[sk_sos_64]) ).
fof(nnf_54,plain,
? [X171] : occurrence_of(X171,tptp0),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
occurrence_of(sK9,tptp0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X171,sK9)],[nnf_54]) ).
cnf(c_258,negated_conjecture,
occurrence_of(sK9,tptp0),
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_295,plain,
( ~ min_precedes(C,sK0(B,A),B)
| atomic(B)
| ~ occurrence_of(A,B) ),
inference(resolve,[status(thm)],[c_92,c_85]) ).
cnf(c_299,plain,
( legal(A)
| ~ root_occ(A,B) ),
inference(resolve,[status(thm)],[c_93,c_86]) ).
cnf(c_303,plain,
( atomic(A)
| ~ occurrence_of(B,A)
| ~ subactivity_occurrence(sK0(A,B),C)
| ~ occurrence_of(C,A)
| root_occ(sK0(A,B),C) ),
inference(resolve,[status(thm)],[c_94,c_92]) ).
cnf(c_348,plain,
( atomic(A)
| ~ subactivity_occurrence(sK0(A,B),B)
| ~ occurrence_of(B,A)
| root_occ(sK0(A,B),B) ),
inference(factor,[status(thm)],[c_303]) ).
cnf(c_363,plain,
( arboreal(A)
| ~ occurrence_of(A,tptp1) ),
inference(resolve,[status(thm)],[c_244,c_197]) ).
cnf(c_364,plain,
( next_subocc(A,sK8(A,sK9),tptp0)
| leaf_occ(A,sK9)
| ~ arboreal(A)
| ~ subactivity_occurrence(A,sK9) ),
inference(resolve,[status(thm)],[c_258,c_257]) ).
cnf(c_365,plain,
( occurrence_of(sK8(A,sK9),tptp1)
| leaf_occ(A,sK9)
| ~ arboreal(A)
| ~ subactivity_occurrence(A,sK9) ),
inference(resolve,[status(thm)],[c_258,c_256]) ).
cnf(c_367,plain,
next_subocc(sK6(sK9),sK7(sK9),tptp0),
inference(resolve,[status(thm)],[c_258,c_239]) ).
cnf(c_370,plain,
root_occ(sK6(sK9),sK9),
inference(resolve,[status(thm)],[c_258,c_236]) ).
cnf(c_375,plain,
( B = A
| min_precedes(B,A,tptp0)
| ~ arboreal(A)
| ~ root_occ(B,sK9)
| ~ subactivity_occurrence(A,sK9) ),
inference(resolve,[status(thm)],[c_258,c_228]) ).
cnf(c_378,plain,
( ~ min_precedes(B,A,tptp0)
| ~ root_occ(A,sK9) ),
inference(resolve,[status(thm)],[c_258,c_224]) ).
cnf(c_379,plain,
( ~ min_precedes(A,B,tptp0)
| ~ leaf_occ(A,sK9) ),
inference(resolve,[status(thm)],[c_258,c_223]) ).
cnf(c_4820,negated_conjecture,
( subactivity_occurrence(sK0(tptp0,sK9),sK9)
| atomic(tptp0) ),
inference(resolve,[status(thm)],[c_258,c_213]) ).
cnf(c_384,negated_conjecture,
subactivity_occurrence(sK0(tptp0,sK9),sK9),
inference(resolve,[status(thm)],[c_240,c_4820]) ).
cnf(c_4821,negated_conjecture,
( ~ min_precedes(A,sK0(tptp0,sK9),tptp0)
| atomic(tptp0) ),
inference(resolve,[status(thm)],[c_295,c_258]) ).
cnf(c_448,negated_conjecture,
~ min_precedes(A,sK0(tptp0,sK9),tptp0),
inference(resolve,[status(thm)],[c_240,c_4821]) ).
cnf(c_4822,negated_conjecture,
( atomic(tptp0)
| ~ subactivity_occurrence(sK0(tptp0,sK9),sK9)
| root_occ(sK0(tptp0,sK9),sK9) ),
inference(resolve,[status(thm)],[c_348,c_258]) ).
cnf(c_4823,negated_conjecture,
( atomic(tptp0)
| root_occ(sK0(tptp0,sK9),sK9) ),
inference(resolve,[status(thm)],[c_384,c_4822]) ).
cnf(c_474,negated_conjecture,
root_occ(sK0(tptp0,sK9),sK9),
inference(resolve,[status(thm)],[c_240,c_4823]) ).
cnf(c_533,plain,
~ min_precedes(A,sK6(sK9),tptp0),
inference(resolve,[status(thm)],[c_370,c_378]) ).
cnf(c_538,plain,
legal(sK6(sK9)),
inference(resolve,[status(thm)],[c_370,c_299]) ).
cnf(c_547,plain,
subactivity_occurrence(sK6(sK9),sK9),
inference(resolve,[status(thm)],[c_370,c_218]) ).
cnf(c_557,plain,
arboreal(sK6(sK9)),
inference(resolve,[status(thm)],[c_538,c_198]) ).
cnf(c_4824,plain,
( occurrence_of(sK8(sK6(sK9),sK9),tptp1)
| leaf_occ(sK6(sK9),sK9)
| ~ subactivity_occurrence(sK6(sK9),sK9) ),
inference(resolve,[status(thm)],[c_557,c_365]) ).
cnf(c_564,plain,
( occurrence_of(sK8(sK6(sK9),sK9),tptp1)
| leaf_occ(sK6(sK9),sK9) ),
inference(resolve,[status(thm)],[c_547,c_4824]) ).
cnf(c_4825,plain,
( next_subocc(sK6(sK9),sK8(sK6(sK9),sK9),tptp0)
| leaf_occ(sK6(sK9),sK9)
| ~ subactivity_occurrence(sK6(sK9),sK9) ),
inference(resolve,[status(thm)],[c_557,c_364]) ).
cnf(c_565,plain,
( next_subocc(sK6(sK9),sK8(sK6(sK9),sK9),tptp0)
| leaf_occ(sK6(sK9),sK9) ),
inference(resolve,[status(thm)],[c_547,c_4825]) ).
cnf(c_607,plain,
min_precedes(sK6(sK9),sK7(sK9),tptp0),
inference(resolve,[status(thm)],[c_367,c_204]) ).
cnf(c_4826,plain,
( A = sK6(sK9)
| min_precedes(A,sK6(sK9),tptp0)
| ~ arboreal(sK6(sK9))
| ~ root_occ(A,sK9) ),
inference(resolve,[status(thm)],[c_375,c_547]) ).
cnf(c_4827,plain,
( sK6(sK9) = A
| min_precedes(A,sK6(sK9),tptp0)
| ~ arboreal(sK6(sK9))
| ~ root_occ(A,sK9) ),
inference(copy,[status(thm)],[c_4826]) ).
cnf(c_4828,plain,
( sK6(sK9) = A
| min_precedes(A,sK6(sK9),tptp0)
| ~ root_occ(A,sK9) ),
inference(resolve,[status(thm)],[c_557,c_4827]) ).
cnf(c_655,plain,
( sK6(sK9) = A
| ~ root_occ(A,sK9) ),
inference(resolve,[status(thm)],[c_533,c_4828]) ).
cnf(c_707,plain,
~ leaf_occ(sK6(sK9),sK9),
inference(resolve,[status(thm)],[c_607,c_379]) ).
cnf(c_748,plain,
next_subocc(sK6(sK9),sK8(sK6(sK9),sK9),tptp0),
inference(resolve,[status(thm)],[c_707,c_565]) ).
cnf(c_749,plain,
occurrence_of(sK8(sK6(sK9),sK9),tptp1),
inference(resolve,[status(thm)],[c_707,c_564]) ).
cnf(c_830,plain,
sK6(sK9) = sK0(tptp0,sK9),
inference(resolve,[status(thm)],[c_655,c_474]) ).
cnf(c_837,plain,
occurrence_of(sK8(sK0(tptp0,sK9),sK9),tptp1),
inference(paramod,[status(thm)],[c_830,c_749]) ).
cnf(c_4829,plain,
next_subocc(sK0(tptp0,sK9),sK8(sK6(sK9),sK9),tptp0),
inference(paramod,[status(thm)],[c_830,c_748]) ).
cnf(c_838,plain,
next_subocc(sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9),tptp0),
inference(paramod,[status(thm)],[c_830,c_4829]) ).
cnf(c_1087,plain,
arboreal(sK8(sK0(tptp0,sK9),sK9)),
inference(resolve,[status(thm)],[c_837,c_363]) ).
cnf(c_1097,plain,
( tptp1 = A
| ~ occurrence_of(sK8(sK0(tptp0,sK9),sK9),A) ),
inference(resolve,[status(thm)],[c_837,c_192]) ).
cnf(c_1101,plain,
( root_occ(sK8(sK0(tptp0,sK9),sK9),A)
| leaf_occ(sK8(sK0(tptp0,sK9),sK9),A)
| ~ subactivity_occurrence(sK8(sK0(tptp0,sK9),sK9),A)
| ~ occurrence_of(A,tptp0) ),
inference(resolve,[status(thm)],[c_1087,c_255]) ).
cnf(c_1466,plain,
min_precedes(sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9),tptp0),
inference(resolve,[status(thm)],[c_838,c_204]) ).
cnf(c_4830,plain,
( min_precedes(B,sK0(tptp0,sK9),tptp0)
| sK0(tptp0,sK9) = B
| ~ subactivity_occurrence(sK0(tptp0,sK9),A)
| ~ leaf_occ(sK8(sK0(tptp0,sK9),sK9),A)
| ~ root_occ(B,A)
| ~ occurrence_of(A,tptp0) ),
inference(resolve,[status(thm)],[c_1466,c_233]) ).
cnf(c_1684,plain,
( sK0(tptp0,sK9) = B
| ~ subactivity_occurrence(sK0(tptp0,sK9),A)
| ~ leaf_occ(sK8(sK0(tptp0,sK9),sK9),A)
| ~ root_occ(B,A)
| ~ occurrence_of(A,tptp0) ),
inference(resolve,[status(thm)],[c_448,c_4830]) ).
cnf(c_1685,plain,
( ~ root_occ(sK8(sK0(tptp0,sK9),sK9),A)
| ~ occurrence_of(A,tptp0) ),
inference(resolve,[status(thm)],[c_1466,c_224]) ).
cnf(c_1686,plain,
( subactivity_occurrence(sK0(tptp0,sK9),A)
| ~ subactivity_occurrence(sK8(sK0(tptp0,sK9),sK9),A)
| ~ occurrence_of(A,tptp0) ),
inference(resolve,[status(thm)],[c_1466,c_215]) ).
cnf(c_1687,plain,
subactivity_occurrence(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9))),
inference(resolve,[status(thm)],[c_1466,c_212]) ).
cnf(c_1689,plain,
occurrence_of(sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9)),tptp0),
inference(resolve,[status(thm)],[c_1466,c_210]) ).
cnf(c_1691,plain,
min_precedes(sK4(sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9),tptp0),sK8(sK0(tptp0,sK9),sK9),tptp0),
inference(resolve,[status(thm)],[c_1466,c_202]) ).
cnf(c_2316,plain,
~ root_occ(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9))),
inference(resolve,[status(thm)],[c_1689,c_1685]) ).
cnf(c_2345,plain,
( ~ min_precedes(A,B,tptp0)
| ~ leaf_occ(A,sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9))) ),
inference(resolve,[status(thm)],[c_1689,c_223]) ).
cnf(c_4831,plain,
( root_occ(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9)))
| leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9)))
| ~ subactivity_occurrence(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9))) ),
inference(resolve,[status(thm)],[c_1101,c_1689]) ).
cnf(c_4832,plain,
( root_occ(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9)))
| leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9))) ),
inference(resolve,[status(thm)],[c_1687,c_4831]) ).
cnf(c_2831,plain,
leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK5(tptp0,sK0(tptp0,sK9),sK8(sK0(tptp0,sK9),sK9))),
inference(resolve,[status(thm)],[c_2316,c_4832]) ).
cnf(c_3112,plain,
~ min_precedes(sK8(sK0(tptp0,sK9),sK9),A,tptp0),
inference(resolve,[status(thm)],[c_2831,c_2345]) ).
cnf(c_4833,plain,
( occurrence_of(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0),tptp0)
| atomic(tptp0)
| min_precedes(sK8(sK0(tptp0,sK9),sK9),sK3(sK8(sK0(tptp0,sK9),sK9),tptp0),tptp0) ),
inference(resolve,[status(thm)],[c_1691,c_125]) ).
cnf(c_4834,plain,
( occurrence_of(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0),tptp0)
| atomic(tptp0) ),
inference(resolve,[status(thm)],[c_3112,c_4833]) ).
cnf(c_3440,plain,
occurrence_of(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0),tptp0),
inference(resolve,[status(thm)],[c_240,c_4834]) ).
cnf(c_4835,plain,
( leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| atomic(tptp0)
| min_precedes(sK8(sK0(tptp0,sK9),sK9),sK3(sK8(sK0(tptp0,sK9),sK9),tptp0),tptp0) ),
inference(resolve,[status(thm)],[c_1691,c_124]) ).
cnf(c_4836,plain,
( leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| atomic(tptp0) ),
inference(resolve,[status(thm)],[c_3112,c_4835]) ).
cnf(c_3441,plain,
leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_240,c_4836]) ).
cnf(c_3480,plain,
next_subocc(sK6(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),
inference(resolve,[status(thm)],[c_3440,c_239]) ).
cnf(c_3481,plain,
leaf_occ(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_3440,c_238]) ).
cnf(c_3483,plain,
root_occ(sK6(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_3440,c_236]) ).
cnf(c_3486,plain,
( ~ min_precedes(A,B,tptp0)
| ~ leaf_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(resolve,[status(thm)],[c_3440,c_223]) ).
cnf(c_4837,plain,
( B = A
| ~ leaf_occ(B,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| ~ leaf_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| atomic(tptp0) ),
inference(resolve,[status(thm)],[c_3440,c_222]) ).
cnf(c_3487,plain,
( B = A
| ~ leaf_occ(B,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| ~ leaf_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(resolve,[status(thm)],[c_240,c_4837]) ).
cnf(c_3558,plain,
subactivity_occurrence(sK8(sK0(tptp0,sK9),sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_3441,c_220]) ).
cnf(c_4838,plain,
( subactivity_occurrence(sK0(tptp0,sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| ~ occurrence_of(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0),tptp0) ),
inference(resolve,[status(thm)],[c_3558,c_1686]) ).
cnf(c_3562,plain,
subactivity_occurrence(sK0(tptp0,sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_3440,c_4838]) ).
cnf(c_4839,plain,
( sK0(tptp0,sK9) = A
| ~ subactivity_occurrence(sK0(tptp0,sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| ~ leaf_occ(sK8(sK0(tptp0,sK9),sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| ~ root_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(resolve,[status(thm)],[c_1684,c_3440]) ).
cnf(c_4840,plain,
( sK0(tptp0,sK9) = A
| ~ subactivity_occurrence(sK0(tptp0,sK9),sK2(sK8(sK0(tptp0,sK9),sK9),tptp0))
| ~ root_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(resolve,[status(thm)],[c_3441,c_4839]) ).
cnf(c_3677,plain,
( sK0(tptp0,sK9) = A
| ~ root_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(resolve,[status(thm)],[c_3562,c_4840]) ).
cnf(c_4115,plain,
~ min_precedes(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),A,tptp0),
inference(resolve,[status(thm)],[c_3481,c_3486]) ).
cnf(c_4841,plain,
sK0(tptp0,sK9) = sK6(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_3483,c_3677]) ).
cnf(c_4118,plain,
sK6(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) = sK0(tptp0,sK9),
inference(copy,[status(thm)],[c_4841]) ).
cnf(c_4119,plain,
next_subocc(sK0(tptp0,sK9),sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),
inference(paramod,[status(thm)],[c_4118,c_3480]) ).
cnf(c_4124,plain,
min_precedes(sK0(tptp0,sK9),sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),
inference(resolve,[status(thm)],[c_4119,c_204]) ).
cnf(c_4842,plain,
( occurrence_of(sK2(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),tptp0)
| atomic(tptp0)
| min_precedes(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),sK3(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),tptp0) ),
inference(resolve,[status(thm)],[c_4124,c_125]) ).
cnf(c_4843,plain,
( occurrence_of(sK2(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),tptp0)
| atomic(tptp0) ),
inference(resolve,[status(thm)],[c_4115,c_4842]) ).
cnf(c_4160,plain,
occurrence_of(sK2(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0),tptp0),
inference(resolve,[status(thm)],[c_240,c_4843]) ).
cnf(c_4189,plain,
occurrence_of(sK7(sK2(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp0)),tptp3),
inference(resolve,[status(thm)],[c_4160,c_237]) ).
cnf(c_4844,plain,
( A = sK8(sK0(tptp0,sK9),sK9)
| ~ leaf_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(resolve,[status(thm)],[c_3487,c_3441]) ).
cnf(c_4753,plain,
( sK8(sK0(tptp0,sK9),sK9) = A
| ~ leaf_occ(A,sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) ),
inference(copy,[status(thm)],[c_4844]) ).
cnf(c_4845,plain,
sK8(sK0(tptp0,sK9),sK9) = sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),
inference(resolve,[status(thm)],[c_4753,c_3481]) ).
cnf(c_4754,plain,
sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)) = sK8(sK0(tptp0,sK9),sK9),
inference(copy,[status(thm)],[c_4845]) ).
cnf(c_4846,plain,
occurrence_of(sK7(sK2(sK8(sK0(tptp0,sK9),sK9),tptp0)),tptp3),
inference(paramod,[status(thm)],[c_4754,c_4189]) ).
cnf(c_4780,plain,
occurrence_of(sK8(sK0(tptp0,sK9),sK9),tptp3),
inference(paramod,[status(thm)],[c_4754,c_4846]) ).
cnf(c_4847,plain,
tptp1 = tptp3,
inference(resolve,[status(thm)],[c_4780,c_1097]) ).
cnf(c_4848,plain,
tptp3 = tptp1,
inference(copy,[status(thm)],[c_4847]) ).
cnf(c_4819,plain,
$false,
inference(resolve,[status(thm)],[c_250,c_4848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO004+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 04:53:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 2821571 was started by sandbox on n007,
% 0.09/0.37 % Sat Sep 26 04:53:23 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 27.78/4.40
% 27.78/4.40 % given #500 (F,wt=14): 1549 -earlier(f18(c1),f7(f12(tptp0,c1),tptp0)). [back_unit_del(1520),unit_del(b,1546)].
% 27.78/4.40
% 27.78/4.40 % given #1000 (T,wt=21): 1342 -occurrence_of(A,tptp2) | -subactivity_occurrence(f10(tptp0,f12(tptp0,c1),f18(c1)),A) | atocc(A,tptp0). [resolve(855,a,402,a),unit_del(b,240)].
% 27.78/4.40
% 27.78/4.40 % given #1500 (F,wt=28): 2769 -root_occ(f18(f11(tptp0,f12(tptp0,c1))),f11(tptp0,f12(tptp0,f10(tptp0,f12(tptp0,c1),f18(c1))))). [resolve(1352,a,2216,a)].
% 27.78/4.40
% 27.78/4.40 % given #2000 (T,wt=26): 2083 root_occ(f18(c1),f19(f12(tptp0,c1),c1)) | -subactivity_occurrence(f18(c1),f19(f12(tptp0,c1),c1)) | -atocc(f18(c1),tptp1). [resolve(759,b,837,a)].
% 27.78/4.40
% 27.78/4.40 % given #2500 (F,wt=28): 4059 -subactivity_occurrence(f16(f18(f16(f7(f12(tptp0,c1),tptp0),tptp0)),tptp0),f19(f12(tptp0,c1),c1)). [resolve(4033,a,1082,a),unit_del(a,240),unit_del(c,1707)].
% 27.78/4.40
% 27.78/4.40 % SZS status Theorem for theBenchmark
% 27.78/4.40
% 27.78/4.40 % Proof 1 at 3.13 (+ 0.80) seconds.
% 27.78/4.40 % Length of proof is 124.
% 27.78/4.40 % Level of proof is 23.
% 27.78/4.40 % Maximum clause weight is 30.000.
% 27.78/4.40 % Given clauses 2990.
% 27.78/4.40
% 27.78/4.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------