%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO354+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /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 : Thu Sep 24 12:26:24 PM UTC 2026
% Result : Satisfiable 0.14s 0.39s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,L] :
( divides_points(L,A,B)
<=> ( ( left_apart_point(B,L)
& left_apart_point(A,reverse_line(L)) )
| ( left_apart_point(B,reverse_line(L))
& left_apart_point(A,L) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [L,A,B] :
( before_on_line(L,A,B)
<=> ( ~ unequally_directed_lines(L,line_connecting(A,B))
& ~ ( left_apart_point(B,reverse_line(L))
| left_apart_point(B,L) )
& ~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) )
& distinct_points(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [L,A,B,C] :
( between_on_line(L,A,B,C)
<=> ( ( before_on_line(L,B,A)
& before_on_line(L,C,B) )
| ( before_on_line(L,B,C)
& before_on_line(L,A,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : ~ distinct_points(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] :
( distinct_points(A,B)
=> ( distinct_points(B,C)
| distinct_points(A,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [L] : ~ distinct_lines(L,L),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [L,M,N] :
( distinct_lines(L,M)
=> ( distinct_lines(M,N)
| distinct_lines(L,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [L,M,N] :
( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
=> ( ( unequally_directed_lines(M,reverse_line(N))
& unequally_directed_lines(M,N) )
| ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [L,M] :
( ( line(M)
& line(L) )
=> ( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,L] :
~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [L,M] :
~ ( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B] :
( ( distinct_points(A,B)
& point(B)
& point(A) )
=> line(line_connecting(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [L,A] :
( ( line(L)
& point(A) )
=> line(parallel_through_point(L,A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [L] :
( line(L)
=> line(reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [L] : ~ distinct_lines(L,reverse_line(L)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [A,B,L,M] :
( ( distinct_lines(L,M)
& distinct_points(A,B) )
=> ( left_apart_point(B,reverse_line(M))
| left_apart_point(A,reverse_line(M))
| left_apart_point(B,reverse_line(L))
| left_apart_point(A,reverse_line(L))
| left_apart_point(B,M)
| left_apart_point(A,M)
| left_apart_point(B,L)
| left_apart_point(A,L) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [L,M,N] :
( ( ( ~ unequally_directed_lines(L,reverse_line(N))
| ~ unequally_directed_lines(L,N) )
& ( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M) ) )
=> ( ~ unequally_directed_lines(M,reverse_line(N))
| ~ unequally_directed_lines(M,N) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [L,M,N] :
( ( ~ unequally_directed_lines(L,reverse_line(N))
=> ~ unequally_directed_lines(M,N) )
& ~ unequally_directed_lines(L,reverse_line(M)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,plain,
! [A,L] :
( ( ( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) )
| apart_point_and_line(A,L) )
& ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L)
| ~ apart_point_and_line(A,L) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( ! [A,L] :
( ( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) )
| apart_point_and_line(A,L) )
& ! [A,L] :
( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L)
| ~ apart_point_and_line(A,L) ) ),
inference(miniscoping,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,plain,
! [L,M] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M)
| convergent_lines(L,M) )
& ( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
| ~ convergent_lines(L,M) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( ! [L,M] :
( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M)
| convergent_lines(L,M) )
& ! [L,M] :
( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
| ~ convergent_lines(L,M) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f46,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f48,plain,
! [A,B,L] :
( ( ( ( ~ left_apart_point(B,L)
| ~ left_apart_point(A,reverse_line(L)) )
& ( ~ left_apart_point(B,reverse_line(L))
| ~ left_apart_point(A,L) ) )
| divides_points(L,A,B) )
& ( ( left_apart_point(B,L)
& left_apart_point(A,reverse_line(L)) )
| ( left_apart_point(B,reverse_line(L))
& left_apart_point(A,L) )
| ~ divides_points(L,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
( ! [A,B,L] :
( ( ( ~ left_apart_point(B,L)
| ~ left_apart_point(A,reverse_line(L)) )
& ( ~ left_apart_point(B,reverse_line(L))
| ~ left_apart_point(A,L) ) )
| divides_points(L,A,B) )
& ! [A,B,L] :
( ( left_apart_point(B,L)
& left_apart_point(A,reverse_line(L)) )
| ( left_apart_point(B,reverse_line(L))
& left_apart_point(A,L) )
| ~ divides_points(L,A,B) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f53,plain,
! [X0,X1,X2] :
( left_apart_point(X2,X0)
| left_apart_point(X2,reverse_line(X0))
| ~ divides_points(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f56,plain,
! [L,A,B] :
( before_on_line(L,A,B)
<=> ( ~ unequally_directed_lines(L,line_connecting(A,B))
& ~ left_apart_point(B,reverse_line(L))
& ~ left_apart_point(B,L)
& ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L)
& distinct_points(A,B) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f57,plain,
! [L,A,B] :
( ( unequally_directed_lines(L,line_connecting(A,B))
| left_apart_point(B,reverse_line(L))
| left_apart_point(B,L)
| left_apart_point(A,reverse_line(L))
| left_apart_point(A,L)
| ~ distinct_points(A,B)
| before_on_line(L,A,B) )
& ( ( ~ unequally_directed_lines(L,line_connecting(A,B))
& ~ left_apart_point(B,reverse_line(L))
& ~ left_apart_point(B,L)
& ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L)
& distinct_points(A,B) )
| ~ before_on_line(L,A,B) ) ),
inference(NNF_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
( ! [L,A,B] :
( unequally_directed_lines(L,line_connecting(A,B))
| left_apart_point(B,reverse_line(L))
| left_apart_point(B,L)
| left_apart_point(A,reverse_line(L))
| left_apart_point(A,L)
| ~ distinct_points(A,B)
| before_on_line(L,A,B) )
& ! [L,A,B] :
( ( ~ unequally_directed_lines(L,line_connecting(A,B))
& ~ left_apart_point(B,reverse_line(L))
& ~ left_apart_point(B,L)
& ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L)
& distinct_points(A,B) )
| ~ before_on_line(L,A,B) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| ~ before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f65,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2)
| before_on_line(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f66,plain,
! [L,A,B,C] :
( ( ( ( ~ before_on_line(L,B,A)
| ~ before_on_line(L,C,B) )
& ( ~ before_on_line(L,B,C)
| ~ before_on_line(L,A,B) ) )
| between_on_line(L,A,B,C) )
& ( ( before_on_line(L,B,A)
& before_on_line(L,C,B) )
| ( before_on_line(L,B,C)
& before_on_line(L,A,B) )
| ~ between_on_line(L,A,B,C) ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f67,plain,
( ! [L,A,B,C] :
( ( ( ~ before_on_line(L,B,A)
| ~ before_on_line(L,C,B) )
& ( ~ before_on_line(L,B,C)
| ~ before_on_line(L,A,B) ) )
| between_on_line(L,A,B,C) )
& ! [L,A,B,C] :
( ( before_on_line(L,B,A)
& before_on_line(L,C,B) )
| ( before_on_line(L,B,C)
& before_on_line(L,A,B) )
| ~ between_on_line(L,A,B,C) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X2)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( before_on_line(X0,X2,X1)
| before_on_line(X0,X1,X2)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( before_on_line(X0,X3,X2)
| before_on_line(X0,X2,X3)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( before_on_line(X0,X2,X1)
| before_on_line(X0,X2,X3)
| ~ between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ~ before_on_line(X0,X2,X3)
| ~ before_on_line(X0,X1,X2)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ before_on_line(X0,X2,X1)
| ~ before_on_line(X0,X3,X2)
| between_on_line(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f74,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f75,plain,
! [A,B,C] :
( distinct_points(B,C)
| distinct_points(A,C)
| ~ distinct_points(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f76,plain,
! [A,B] :
( ! [C] :
( distinct_points(B,C)
| distinct_points(A,C) )
| ~ distinct_points(A,B) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f79,plain,
! [L,M,N] :
( distinct_lines(M,N)
| distinct_lines(L,N)
| ~ distinct_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f80,plain,
! [L,M] :
( ! [N] :
( distinct_lines(M,N)
| distinct_lines(L,N) )
| ~ distinct_lines(L,M) ),
inference(miniscoping,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f86,plain,
! [L,M,N] :
( ( unequally_directed_lines(M,reverse_line(N))
& unequally_directed_lines(M,N) )
| ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) )
| ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f87,definition,
! [L,N] :
( sP0_prd(N,L)
<=> ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f92,plain,
! [L,M] :
( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M)
| ~ line(M)
| ~ line(L) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f93,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f96,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f97,plain,
( ! [A,L] : ~ left_apart_point(A,reverse_line(L))
& ! [A,L] : ~ left_apart_point(A,L) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f100,plain,
! [L,M] :
( ~ left_convergent_lines(L,reverse_line(M))
& ~ left_convergent_lines(L,M) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f101,plain,
( ! [L,M] : ~ left_convergent_lines(L,reverse_line(M))
& ! [L,M] : ~ left_convergent_lines(L,M) ),
inference(miniscoping,[status(thm)],[f100]) ).
fof(f102,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,plain,
! [A,B] :
( line(line_connecting(A,B))
| ~ distinct_points(A,B)
| ~ point(B)
| ~ point(A) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f105,plain,
! [X0,X1] :
( line(line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| ~ point(X1)
| ~ point(X0) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f108,plain,
! [L,A] :
( line(parallel_through_point(L,A))
| ~ line(L)
| ~ point(A) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f109,plain,
! [X0,X1] :
( line(parallel_through_point(X1,X0))
| ~ line(X1)
| ~ point(X0) ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
! [L] :
( line(reverse_line(L))
| ~ line(L) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f111,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f119,plain,
! [X0] : ~ distinct_lines(X0,reverse_line(X0)),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f122,plain,
! [A,B,L,M] :
( left_apart_point(B,reverse_line(M))
| left_apart_point(A,reverse_line(M))
| left_apart_point(B,reverse_line(L))
| left_apart_point(A,reverse_line(L))
| left_apart_point(B,M)
| left_apart_point(A,M)
| left_apart_point(B,L)
| left_apart_point(A,L)
| ~ distinct_lines(L,M)
| ~ distinct_points(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f27]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f145,plain,
! [L,M,N] :
( ~ unequally_directed_lines(M,reverse_line(N))
| ~ unequally_directed_lines(M,N)
| ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) )
| ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) ) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f146,definition,
! [L,M] :
( sP1_prd(M,L)
<=> ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f153,plain,
! [L,M,N] :
( ( ~ unequally_directed_lines(M,N)
| unequally_directed_lines(L,reverse_line(N)) )
& ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f154,plain,
( ! [N] :
( ! [M] : ~ unequally_directed_lines(M,N)
| ! [L] : unequally_directed_lines(L,reverse_line(N)) )
& ! [L,M] : ~ unequally_directed_lines(L,reverse_line(M)) ),
inference(miniscoping,[status(thm)],[f153]) ).
fof(f155,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ unequally_directed_lines(X2,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f157,plain,
! [L,N] :
( ( ~ unequally_directed_lines(L,reverse_line(N))
| ~ unequally_directed_lines(L,N)
| sP0_prd(N,L) )
& ( ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) )
| ~ sP0_prd(N,L) ) ),
inference(NNF_transformation,[status(thm)],[f87]) ).
fof(f158,plain,
( ! [L,N] :
( ~ unequally_directed_lines(L,reverse_line(N))
| ~ unequally_directed_lines(L,N)
| sP0_prd(N,L) )
& ! [L,N] :
( ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) )
| ~ sP0_prd(N,L) ) ),
inference(miniscoping,[status(thm)],[f157]) ).
fof(f159,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f162,plain,
! [L,M] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M)
| sP1_prd(M,L) )
& ( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
| ~ sP1_prd(M,L) ) ),
inference(NNF_transformation,[status(thm)],[f146]) ).
fof(f163,plain,
( ! [L,M] :
( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M)
| sP1_prd(M,L) )
& ! [L,M] :
( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
| ~ sP1_prd(M,L) ) ),
inference(miniscoping,[status(thm)],[f162]) ).
fof(f164,plain,
! [X0,X1] :
( unequally_directed_lines(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f167,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2)
| before_on_line(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f65,f98]) ).
fof(f168,plain,
! [X0,X1,X2] :
( left_apart_point(X2,X0)
| ~ divides_points(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f53,f98]) ).
fof(f171,plain,
! [X0,X1] :
( left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f40,f98]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f98]) ).
fof(f175,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f93,f155]) ).
fof(f176,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f46,f155]) ).
fof(f178,plain,
! [X0,X1] : ~ unequally_directed_lines(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f156,f155]) ).
fof(f179,plain,
! [X0,X1] : ~ sP0_prd(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f159,f178]) ).
fof(f180,plain,
! [X0,X1] : ~ sP1_prd(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f164,f178]) ).
fof(f181,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| ~ distinct_points(X1,X2)
| before_on_line(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f98]) ).
fof(f182,plain,
! [X0,X1,X2] : ~ divides_points(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f168,f98]) ).
fof(f183,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f171,f98]) ).
fof(f184,plain,
! [X0] : ~ line(X0),
inference(backward_subsumption_resolution,[status(thm)],[f111,f186]) ).
fof(f185,plain,
! [X0,X1] :
( ~ line(X1)
| ~ point(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f109,f186]) ).
fof(f186,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f178]) ).
fof(f187,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ point(X1)
| ~ point(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f105,f184]) ).
fof(f188,definition,
! [X0] :
( sQ0_spl
<=> ~ point(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f189,plain,
! [X0] :
( ~ sQ0_spl
| ~ point(X0) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
! [X1] :
( sQ1_spl
<=> ~ line(X1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f185,f188,f191]) ).
fof(model,axiom,
sQ0_spl ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO354+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 15:32:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.037191 seconds
% 0.14/0.41 % CPU time: 0.091039 seconds
% 0.14/0.41 % Total memory used: 4.703 MB
% 0.14/0.41 % Net memory used: 4.574 MB
%------------------------------------------------------------------------------