%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 01:05:41 PM UTC 2026
% Result : Theorem 0.06s 5.95s
% Output : Proof 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 65 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 28 ~; 18 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
fof(f46_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(hi45,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c46]) ).
fof(f55,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query68) ).
fof(f55_neg,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f55_nnf,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(nnf_transformation,[status(thm)],[f55_neg]) ).
fof(f55_sk,plain,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(skolemisation,[status(esa)],[f55_nnf]) ).
cnf(c55,plain,
mtvisible(c_tptp_member2356_mt),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(hi54,negated_conjecture,
mtvisible(c_tptp_member2356_mt) = true,
inference(equality_encoding,[status(esa)],[c55]) ).
fof(f6,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(f6_nnf,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h14,plain,
mtvisible(c_tptp_spindleheadmt) = true,
inference(hyper_resolution,[status(thm)],[hi45,hi54,hi6]) ).
fof(f8,axiom,
! [INS] :
( ( furpelt(INS)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(INS,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f8_nnf,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [INS] :
( tptpofobject(INS,f_tptpquantityfn_1(n_328))
| ~ furpelt(INS)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( tptpofobject(X0,f_tptpquantityfn_1(n_328))
| ~ furpelt(X0)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,axiom,
ifeq(mtvisible(c_tptp_spindleheadmt),true,ifeq(furpelt(X0),true,tptpofobject(X0,f_tptpquantityfn_1(n_328)),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
fof(f7,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(f7_nnf,plain,
furpelt(c_theprototypicalfurpelt),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
furpelt(c_theprototypicalfurpelt),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
furpelt(c_theprototypicalfurpelt) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h36,plain,
tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) = true,
inference(hyper_resolution,[status(thm)],[hi8,h14,hi7]) ).
cnf(c56,plain,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(hi56,negated_conjecture,
ifeq(tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi56,h36]) ).
cnf(t433,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f10,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
fof(f10_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c10,c56]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t433]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/5.30 % Computer : n012.cluster.edu
% 0.03/5.30 % Model : x86_64 x86_64
% 0.03/5.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.30 % Memory : 8046.5625MB
% 0.03/5.30 % OS : Linux 6.8.0-71-generic
% 0.03/5.30 % CPULimit : 300
% 0.03/5.30 % WCLimit : 300
% 0.03/5.30 % DateTime : Fri Sep 25 08:52:25 UTC 2026
% 0.03/5.31 % CPUTime :
% 0.03/5.31 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/5.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/5.95 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------