%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR052+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 01:05:31 PM UTC 2026
% Result : Theorem 3.98s 1.02s
% Output : Proof 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 55 unt; 0 def)
% Number of atoms : 103 ( 29 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 18 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-4 aty)
% Number of variables : 48 ( 4 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,axiom,
! [INS,ARG2] :
( genls(INS,ARG2)
=> collection(INS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just84) ).
fof(f83_nnf,plain,
! [INS,ARG2] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(nnf_transformation,[status(thm)],[f83]) ).
fof(f83_sk,plain,
! [INS,ARG2] :
( collection(INS)
| ~ genls(INS,ARG2) ),
inference(skolemisation,[status(esa)],[f83_nnf]) ).
cnf(c83,plain,
( collection(X0)
| ~ genls(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f83_sk]) ).
cnf(hi82,axiom,
ifeq(genls(X0,X1),true,collection(X0),true) = true,
inference(equality_encoding,[status(esa)],[c83]) ).
fof(f21,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).
fof(f21_nnf,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c21,plain,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(hi21,axiom,
genls(c_tptpcol_15_40430,c_tptpcol_14_40429) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(h28,plain,
collection(c_tptpcol_15_40430) = true,
inference(hyper_resolution,[status(thm)],[hi82,hi21]) ).
fof(f86,axiom,
! [X] :
( collection(X)
=> genls(X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just87) ).
fof(f86_nnf,plain,
! [X] :
( genls(X,X)
| ~ collection(X) ),
inference(nnf_transformation,[status(thm)],[f86]) ).
fof(f86_sk,plain,
! [X] :
( genls(X,X)
| ~ collection(X) ),
inference(skolemisation,[status(esa)],[f86_nnf]) ).
cnf(c86,plain,
( genls(X0,X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(esa)],[f86_sk]) ).
cnf(hi85,axiom,
ifeq(collection(X0),true,genls(X0,X0),true) = true,
inference(equality_encoding,[status(esa)],[c86]) ).
cnf(t76,plain,
genls(c_tptpcol_15_40430,c_tptpcol_15_40430) = true,
inference(hyper_resolution,[status(thm)],[hi85,h28]) ).
cnf(t235,plain,
genls(c_tptpcol_15_40430,c_tptpcol_15_40430) = true,
inference(orient,[status(thm)],[t76]) ).
fof(f88,axiom,
! [ARG1,OLD,NEW] :
( ( genls(OLD,NEW)
& genls(ARG1,OLD) )
=> genls(ARG1,NEW) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just89) ).
fof(f88_nnf,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(nnf_transformation,[status(thm)],[f88]) ).
fof(f88_sk,plain,
! [ARG1,OLD,NEW] :
( genls(ARG1,NEW)
| ~ genls(OLD,NEW)
| ~ genls(ARG1,OLD) ),
inference(skolemisation,[status(esa)],[f88_nnf]) ).
cnf(c88,plain,
( genls(X0,X2)
| ~ genls(X1,X2)
| ~ genls(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f88_sk]) ).
cnf(hi87,axiom,
ifeq(genls(X0,X1),true,ifeq(genls(X1,X2),true,genls(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c88]) ).
fof(f9,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
fof(f9_nnf,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi9,axiom,
genls(c_tptpcol_9_40196,c_tptpcol_8_39940) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
fof(f7,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f7_nnf,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
genls(c_tptpcol_8_39940,c_tptpcol_7_39939) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h14,plain,
genls(c_tptpcol_9_40196,c_tptpcol_7_39939) = true,
inference(hyper_resolution,[status(thm)],[hi87,hi9,hi7]) ).
fof(f13,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f13_nnf,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(hi13,axiom,
genls(c_tptpcol_11_40388,c_tptpcol_10_40324) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
fof(f11,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f11_nnf,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,axiom,
genls(c_tptpcol_10_40324,c_tptpcol_9_40196) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h18,plain,
genls(c_tptpcol_11_40388,c_tptpcol_9_40196) = true,
inference(hyper_resolution,[status(thm)],[hi87,hi13,hi11]) ).
cnf(h52,plain,
genls(c_tptpcol_11_40388,c_tptpcol_7_39939) = true,
inference(hyper_resolution,[status(thm)],[hi87,h18,h14]) ).
fof(f17,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).
fof(f17_nnf,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(hi17,axiom,
genls(c_tptpcol_13_40421,c_tptpcol_12_40420) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
fof(f15,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).
fof(f15_nnf,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(hi15,axiom,
genls(c_tptpcol_12_40420,c_tptpcol_11_40388) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(h22,plain,
genls(c_tptpcol_13_40421,c_tptpcol_11_40388) = true,
inference(hyper_resolution,[status(thm)],[hi87,hi17,hi15]) ).
fof(f19,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just20) ).
fof(f19_nnf,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(hi19,axiom,
genls(c_tptpcol_14_40429,c_tptpcol_13_40421) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(h27,plain,
genls(c_tptpcol_15_40430,c_tptpcol_13_40421) = true,
inference(hyper_resolution,[status(thm)],[hi87,hi21,hi19]) ).
cnf(h63,plain,
genls(c_tptpcol_15_40430,c_tptpcol_11_40388) = true,
inference(hyper_resolution,[status(thm)],[hi87,h27,h22]) ).
cnf(t77,plain,
genls(c_tptpcol_15_40430,c_tptpcol_7_39939) = true,
inference(hyper_resolution,[status(thm)],[hi87,h63,h52]) ).
cnf(t248,plain,
genls(c_tptpcol_15_40430,c_tptpcol_7_39939) = true,
inference(orient,[status(thm)],[t77]) ).
cnf(t93,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t177,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t93]) ).
fof(f23,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just24) ).
fof(f23_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
fof(f95,conjecture,
( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_76157_h308ac516b3598fdb)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query52) ).
fof(f95_neg,negated_conjecture,
~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_76157_h308ac516b3598fdb)),c_translation_33))
=> genls(c_tptpcol_15_40430,c_tptpcol_7_39939) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f95_nnf,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_76157_h308ac516b3598fdb)),c_translation_33)) ),
inference(nnf_transformation,[status(thm)],[f95_neg]) ).
fof(f95_sk,plain,
( ~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939)
& mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_76157_h308ac516b3598fdb)),c_translation_33)) ),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c96,plain,
~ genls(c_tptpcol_15_40430,c_tptpcol_7_39939),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c23,c96]) ).
cnf(g0_0,plain,
true != ifeq(genls(c_tptpcol_15_40430,c_tptpcol_7_39939),true,false,true),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
true != ifeq(genls(c_tptpcol_15_40430,c_tptpcol_7_39939),true,false,genls(c_tptpcol_15_40430,c_tptpcol_15_40430)),
inference(rw,[status(thm)],[g0_0,t235]) ).
cnf(g0_2,plain,
true != ifeq(genls(c_tptpcol_15_40430,c_tptpcol_7_39939),genls(c_tptpcol_15_40430,c_tptpcol_7_39939),false,genls(c_tptpcol_15_40430,c_tptpcol_15_40430)),
inference(rw,[status(thm)],[g0_1,t248]) ).
cnf(g0_3,plain,
true != false,
inference(rw,[status(thm)],[g0_2,t177]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR052+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 08:36:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.98/1.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.02 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------