0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_SATResetCoP /export/starexec/sandbox/benchmark/theBenchmark.p 180 0.10/0.37 % Computer : n018.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 : 1440 0.10/0.37 % WCLimit : 180 0.10/0.37 % DateTime : Mon Jul 27 09:27:40 UTC 2026 0.10/0.37 % CPUTime : 0.10/0.37 Running run_SATResetCoP /export/starexec/sandbox/benchmark/theBenchmark.p 180 123.03/123.30 % SZS status Theorem for theBenchmark 123.03/123.30 % SZS output start CNFRefutation for theBenchmark 123.03/123.30 fof(satresetcop_input_1,axiom, 123.03/123.30 ! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A)), 123.03/123.30 file('Axioms/GEO007+0.ax',oagco7)). 123.03/123.30 fof(satresetcop_input_2,axiom, 123.03/123.30 ! [A,B] : 123.03/123.30 ( ( point(B) 123.03/123.30 & distinct_points(A,B) 123.03/123.30 & point(A) ) 123.03/123.30 => line(line_connecting(A,B)) ), 123.03/123.30 file('Axioms/GEO007+0.ax',oagco1)). 123.03/123.30 fof(satresetcop_input_3,axiom, 123.03/123.30 ! [A] : ~ distinct_points(A,A), 123.03/123.30 file('Axioms/GEO007+0.ax',oag1)). 123.03/123.30 fof(satresetcop_input_4,axiom, 123.03/123.30 ! [L,M] : 123.03/123.30 ( ( ~ apart_point_and_line(intersection_point(L,M),L) 123.03/123.30 & ~ apart_point_and_line(intersection_point(L,M),M) ) 123.03/123.30 <= ( unequally_directed_lines(L,reverse_line(M)) 123.03/123.30 & unequally_directed_lines(L,M) ) ), 123.03/123.30 file('Axioms/GEO007+0.ax',oagco6)). 123.03/123.30 fof(satresetcop_input_5,axiom, 123.03/123.30 ! [L,M] : 123.03/123.30 ( ( left_convergent_lines(L,M) 123.03/123.30 | left_convergent_lines(L,reverse_line(M)) ) 123.03/123.30 <= ( unequally_directed_lines(L,M) 123.03/123.30 & unequally_directed_lines(L,reverse_line(M)) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag9)). 123.03/123.31 fof(satresetcop_input_6,axiom, 123.03/123.31 ! [L,A] : 123.03/123.31 ( line(parallel_through_point(L,A)) 123.03/123.31 <= ( point(A) 123.03/123.31 & line(L) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco3)). 123.03/123.31 fof(satresetcop_input_7,axiom, 123.03/123.31 ! [L,M,N] : 123.03/123.31 ( ( unequally_directed_lines(L,N) 123.03/123.31 | unequally_directed_lines(M,N) ) 123.03/123.31 <= unequally_directed_lines(L,M) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag6)). 123.03/123.31 fof(satresetcop_input_8,axiom, 123.03/123.31 ! [L] : ~ distinct_lines(L,reverse_line(L)), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco8)). 123.03/123.31 fof(satresetcop_input_9,axiom, 123.03/123.31 ! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco10)). 123.03/123.31 fof(satresetcop_input_10,axiom, 123.03/123.31 ! [L,A,B] : 123.03/123.31 ( before_on_line(L,A,B) 123.03/123.31 <=> ( ~ ( left_apart_point(A,reverse_line(L)) 123.03/123.31 | left_apart_point(A,L) ) 123.03/123.31 & ~ ( left_apart_point(B,reverse_line(L)) 123.03/123.31 | left_apart_point(B,L) ) 123.03/123.31 & ~ unequally_directed_lines(L,line_connecting(A,B)) 123.03/123.31 & distinct_points(A,B) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',bf_def)). 123.03/123.31 fof(satresetcop_input_11,axiom, 123.03/123.31 ! [A,L] : 123.03/123.31 ( ( left_apart_point(A,reverse_line(L)) 123.03/123.31 | left_apart_point(A,L) ) 123.03/123.31 <=> apart_point_and_line(A,L) ), 123.03/123.31 file('Axioms/GEO007+0.ax',apt_def)). 123.03/123.31 fof(satresetcop_input_12,axiom, 123.03/123.31 ! [A,B,L] : 123.03/123.31 ( ( left_apart_point(B,L) 123.03/123.31 | left_convergent_lines(line_connecting(A,B),L) ) 123.03/123.31 <= ( distinct_points(A,B) 123.03/123.31 & left_apart_point(A,L) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oaguc2)). 123.03/123.31 fof(satresetcop_input_13,axiom, 123.03/123.31 ! [L,M] : 123.03/123.31 ~ ( left_convergent_lines(L,reverse_line(M)) 123.03/123.31 | left_convergent_lines(L,M) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag11)). 123.03/123.31 fof(satresetcop_input_14,axiom, 123.03/123.31 ! [A,B,C] : 123.03/123.31 ( ( distinct_points(B,C) 123.03/123.31 | distinct_points(A,C) ) 123.03/123.31 <= distinct_points(A,B) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag2)). 123.03/123.31 fof(satresetcop_input_15,axiom, 123.03/123.31 ! [L,M] : 123.03/123.31 ( ( unequally_directed_lines(L,M) 123.03/123.31 & unequally_directed_lines(L,reverse_line(M)) ) 123.03/123.31 <=> convergent_lines(L,M) ), 123.03/123.31 file('Axioms/GEO007+0.ax',con_def)). 123.03/123.31 fof(satresetcop_input_16,axiom, 123.03/123.31 ! [L] : ~ distinct_lines(L,L), 123.03/123.31 file('Axioms/GEO007+0.ax',oag3)). 123.03/123.31 fof(satresetcop_input_17,axiom, 123.03/123.31 ! [A,L] : 123.03/123.31 ~ ( left_apart_point(A,L) 123.03/123.31 | left_apart_point(A,reverse_line(L)) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag10)). 123.03/123.31 fof(satresetcop_input_18,axiom, 123.03/123.31 ! [L,M,N] : 123.03/123.31 ( ( unequally_directed_lines(M,N) 123.03/123.31 | left_convergent_lines(L,N) ) 123.03/123.31 <= left_convergent_lines(L,M) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagsub3)). 123.03/123.31 fof(satresetcop_input_19,axiom, 123.03/123.31 ! [A,B,L] : 123.03/123.31 ( divides_points(L,A,B) 123.03/123.31 <=> ( ( left_apart_point(B,reverse_line(L)) 123.03/123.31 & left_apart_point(A,L) ) 123.03/123.31 | ( left_apart_point(B,L) 123.03/123.31 & left_apart_point(A,reverse_line(L)) ) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',div_def)). 123.03/123.31 fof(satresetcop_input_20,axiom, 123.03/123.31 ! [L,A,B,C] : 123.03/123.31 ( ( ( before_on_line(L,A,B) 123.03/123.31 & before_on_line(L,B,C) ) 123.03/123.31 | ( before_on_line(L,C,B) 123.03/123.31 & before_on_line(L,B,A) ) ) 123.03/123.31 <=> between_on_line(L,A,B,C) ), 123.03/123.31 file('Axioms/GEO007+0.ax',bet_def)). 123.03/123.31 fof(satresetcop_input_21,axiom, 123.03/123.31 ! [L,M,N] : 123.03/123.31 ( ( unequally_directed_lines(L,reverse_line(M)) 123.03/123.31 & unequally_directed_lines(L,M) ) 123.03/123.31 => ( ( unequally_directed_lines(L,reverse_line(N)) 123.03/123.31 & unequally_directed_lines(L,N) ) 123.03/123.31 | ( unequally_directed_lines(M,reverse_line(N)) 123.03/123.31 & unequally_directed_lines(M,N) ) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag7)). 123.03/123.31 fof(satresetcop_input_22,axiom, 123.03/123.31 ! [L] : ~ unequally_directed_lines(L,L), 123.03/123.31 file('Axioms/GEO007+0.ax',oag5)). 123.03/123.31 fof(satresetcop_input_23,axiom, 123.03/123.31 ! [L,M,N] : 123.03/123.31 ( distinct_lines(L,M) 123.03/123.31 => ( distinct_lines(L,N) 123.03/123.31 | distinct_lines(M,N) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag4)). 123.03/123.31 fof(satresetcop_input_24,axiom, 123.03/123.31 ! [A,B,L,M] : 123.03/123.31 ( ( distinct_points(A,B) 123.03/123.31 & distinct_lines(L,M) ) 123.03/123.31 => ( left_apart_point(A,reverse_line(M)) 123.03/123.31 | left_apart_point(B,reverse_line(M)) 123.03/123.31 | left_apart_point(B,reverse_line(L)) 123.03/123.31 | left_apart_point(A,reverse_line(L)) 123.03/123.31 | left_apart_point(B,M) 123.03/123.31 | left_apart_point(A,M) 123.03/123.31 | left_apart_point(B,L) 123.03/123.31 | left_apart_point(A,L) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oaguc1)). 123.03/123.31 fof(satresetcop_input_25,axiom, 123.03/123.31 ! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco9)). 123.03/123.31 fof(satresetcop_input_26,axiom, 123.03/123.31 ! [A,L,M] : 123.03/123.31 ( ( unequally_directed_lines(L,M) 123.03/123.31 & left_apart_point(A,L) ) 123.03/123.31 => ( distinct_lines(L,M) 123.03/123.31 | left_apart_point(A,reverse_line(M)) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagsub2)). 123.03/123.31 fof(satresetcop_input_27,axiom, 123.03/123.31 ! [L] : 123.03/123.31 ( line(L) 123.03/123.31 => line(reverse_line(L)) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco4)). 123.03/123.31 fof(satresetcop_input_28,axiom, 123.03/123.31 ! [A,B] : 123.03/123.31 ( distinct_points(A,B) 123.03/123.31 => ( ~ apart_point_and_line(A,line_connecting(A,B)) 123.03/123.31 & ~ apart_point_and_line(B,line_connecting(A,B)) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco5)). 123.03/123.31 fof(satresetcop_input_29,axiom, 123.03/123.31 ! [A,B,L] : 123.03/123.31 ( left_apart_point(A,L) 123.03/123.31 => ( left_apart_point(B,L) 123.03/123.31 | distinct_points(A,B) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagsub1)). 123.03/123.31 fof(satresetcop_input_30,axiom, 123.03/123.31 ! [L,M] : 123.03/123.31 ( point(intersection_point(L,M)) 123.03/123.31 <= ( line(L) 123.03/123.31 & unequally_directed_lines(L,reverse_line(M)) 123.03/123.31 & unequally_directed_lines(L,M) 123.03/123.31 & line(M) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oagco2)). 123.03/123.31 fof(satresetcop_input_31,axiom, 123.03/123.31 ! [L,M] : 123.03/123.31 ( ( unequally_directed_lines(L,M) 123.03/123.31 | unequally_directed_lines(L,reverse_line(M)) ) 123.03/123.31 <= ( line(M) 123.03/123.31 & line(L) ) ), 123.03/123.31 file('Axioms/GEO007+0.ax',oag8)). 123.03/123.31 fof(satresetcop_input_32,conjecture, 123.03/123.31 ! [L,A,B,C] : 123.03/123.31 ( ( distinct_points(A,B) 123.03/123.31 & distinct_points(B,C) 123.03/123.31 & distinct_points(A,C) 123.03/123.31 & line(L) ) 123.03/123.31 => ~ ( between_on_line(L,A,B,C) 123.03/123.31 & between_on_line(L,A,C,B) ) ), 123.03/123.31 file('theBenchmark.p',con)). 123.03/123.31 fof(satresetcop_negated_conjecture_32,negated_conjecture, 123.03/123.31 ~ (! [L,A,B,C] : 123.03/123.31 ( ( distinct_points(A,B) 123.03/123.31 & distinct_points(B,C) 123.03/123.31 & distinct_points(A,C) 123.03/123.31 & line(L) ) 123.03/123.31 => ~ ( between_on_line(L,A,B,C) 123.03/123.31 & between_on_line(L,A,C,B) ) )), 123.03/123.31 inference(negate,[status(cth)],[satresetcop_input_32])). 123.03/123.31 fof(satresetcop_premises,plain, 123.03/123.31 ( (! [A,L] : ~ apart_point_and_line(A,parallel_through_point(L,A))) 123.03/123.31 & (! [A,B] : 123.03/123.31 ( ( point(B) 123.03/123.31 & distinct_points(A,B) 123.03/123.31 & point(A) ) 123.03/123.31 => line(line_connecting(A,B)) )) 123.03/123.31 & (! [A] : ~ distinct_points(A,A)) 123.03/123.31 & (! [L,M] : 123.03/123.31 ( ( ~ apart_point_and_line(intersection_point(L,M),L) 123.03/123.31 & ~ apart_point_and_line(intersection_point(L,M),M) ) 123.03/123.31 <= ( unequally_directed_lines(L,reverse_line(M)) 123.03/123.31 & unequally_directed_lines(L,M) ) )) 123.03/123.31 & (! [L,M] : 123.03/123.31 ( ( left_convergent_lines(L,M) 123.03/123.31 | left_convergent_lines(L,reverse_line(M)) ) 123.03/123.31 <= ( unequally_directed_lines(L,M) 123.03/123.31 & unequally_directed_lines(L,reverse_line(M)) ) )) 123.03/123.31 & (! [L,A] : 123.03/123.31 ( line(parallel_through_point(L,A)) 123.03/123.31 <= ( point(A) 123.03/123.31 & line(L) ) )) 123.03/123.31 & (! [L,M,N] : 123.03/123.31 ( ( unequally_directed_lines(L,N) 123.03/123.31 | unequally_directed_lines(M,N) ) 123.03/123.31 <= unequally_directed_lines(L,M) )) 123.03/123.31 & (! [L] : ~ distinct_lines(L,reverse_line(L))) 123.03/123.31 & (! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L)) 123.03/123.31 & (! [L,A,B] : 123.03/123.31 ( before_on_line(L,A,B) 123.03/123.31 <=> ( ~ ( left_apart_point(A,reverse_line(L)) 123.03/123.31 | left_apart_point(A,L) ) 123.03/123.31 & ~ ( left_apart_point(B,reverse_line(L)) 123.03/123.31 | left_apart_point(B,L) ) 123.03/123.31 & ~ unequally_directed_lines(L,line_connecting(A,B)) 123.03/123.31 & distinct_points(A,B) ) )) 123.03/123.31 & (! [A,L] : 123.03/123.31 ( ( left_apart_point(A,reverse_line(L)) 123.03/123.31 | left_apart_point(A,L) ) 123.03/123.31 <=> apart_point_and_line(A,L) )) 123.03/123.31 & (! [A,B,L] : 123.03/123.31 ( ( left_apart_point(B,L) 123.03/123.31 | left_convergent_lines(line_connecting(A,B),L) ) 123.03/123.31 <= ( distinct_points(A,B) 123.03/123.31 & left_apart_point(A,L) ) )) 123.03/123.31 & (! [L,M] : 123.03/123.31 ~ ( left_convergent_lines(L,reverse_line(M)) 123.03/123.31 | left_convergent_lines(L,M) )) 123.03/123.31 & (! [A,B,C] : 123.03/123.31 ( ( distinct_points(B,C) 123.03/123.31 | distinct_points(A,C) ) 123.03/123.31 <= distinct_points(A,B) )) 123.03/123.31 & (! [L,M] : 123.03/123.31 ( ( unequally_directed_lines(L,M) 123.03/123.31 & unequally_directed_lines(L,reverse_line(M)) ) 123.03/123.31 <=> convergent_lines(L,M) )) 123.03/123.31 & (! [L] : ~ distinct_lines(L,L)) 123.03/123.31 & (! [A,L] : 123.03/123.31 ~ ( left_apart_point(A,L) 123.03/123.31 | left_apart_point(A,reverse_line(L)) )) 123.03/123.31 & (! [L,M,N] : 123.03/123.31 ( ( unequally_directed_lines(M,N) 123.03/123.31 | left_convergent_lines(L,N) ) 123.03/123.31 <= left_convergent_lines(L,M) )) 123.03/123.31 & (! [A,B,L] : 123.03/123.31 ( divides_points(L,A,B) 123.03/123.31 <=> ( ( left_apart_point(B,reverse_line(L)) 123.03/123.31 & left_apart_point(A,L) ) 123.03/123.31 | ( left_apart_point(B,L) 123.03/123.31 & left_apart_point(A,reverse_line(L)) ) ) )) 123.03/123.31 & (! [L,A,B,C] : 123.03/123.31 ( ( ( before_on_line(L,A,B) 123.03/123.31 & before_on_line(L,B,C) ) 123.03/123.31 | ( before_on_line(L,C,B) 123.03/123.31 & before_on_line(L,B,A) ) ) 123.03/123.31 <=> between_on_line(L,A,B,C) )) 123.03/123.31 & (! [L,M,N] : 123.03/123.31 ( ( unequally_directed_lines(L,reverse_line(M)) 123.03/123.31 & unequally_directed_lines(L,M) ) 123.03/123.31 => ( ( unequally_directed_lines(L,reverse_line(N)) 123.03/123.31 & unequally_directed_lines(L,N) ) 123.03/123.31 | ( unequally_directed_lines(M,reverse_line(N)) 123.03/123.31 & unequally_directed_lines(M,N) ) ) )) 123.03/123.31 & (! [L] : ~ unequally_directed_lines(L,L)) 123.03/123.31 & (! [L,M,N] : 123.03/123.31 ( distinct_lines(L,M) 123.03/123.31 => ( distinct_lines(L,N) 123.03/123.31 | distinct_lines(M,N) ) )) 123.03/123.31 & (! [A,B,L,M] : 123.03/123.31 ( ( distinct_points(A,B) 123.03/123.31 & distinct_lines(L,M) ) 123.03/123.31 => ( left_apart_point(A,reverse_line(M)) 123.03/123.31 | left_apart_point(B,reverse_line(M)) 123.03/123.31 | left_apart_point(B,reverse_line(L)) 123.03/123.31 | left_apart_point(A,reverse_line(L)) 123.03/123.31 | left_apart_point(B,M) 123.03/123.31 | left_apart_point(A,M) 123.03/123.31 | left_apart_point(B,L) 123.03/123.31 | left_apart_point(A,L) ) )) 123.03/123.31 & (! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A)))) 123.03/123.31 & (! [A,L,M] : 123.03/123.31 ( ( unequally_directed_lines(L,M) 123.03/123.31 & left_apart_point(A,L) ) 123.03/123.31 => ( distinct_lines(L,M) 123.03/123.31 | left_apart_point(A,reverse_line(M)) ) )) 123.03/123.31 & (! [L] : 123.03/123.31 ( line(L) 123.03/123.31 => line(reverse_line(L)) )) 123.03/123.31 & (! [A,B] : 123.03/123.31 ( distinct_points(A,B) 123.03/123.31 => ( ~ apart_point_and_line(A,line_connecting(A,B)) 123.03/123.31 & ~ apart_point_and_line(B,line_connecting(A,B)) ) )) 123.03/123.31 & (! [A,B,L] : 123.03/123.31 ( left_apart_point(A,L) 123.03/123.31 => ( left_apart_point(B,L) 123.03/123.31 | distinct_points(A,B) ) )) 123.03/123.31 & (! [L,M] : 123.03/123.31 ( point(intersection_point(L,M)) 123.03/123.31 <= ( line(L) 123.03/123.31 & unequally_directed_lines(L,reverse_line(M)) 123.03/123.31 & unequally_directed_lines(L,M) 123.03/123.31 & line(M) ) )) 123.03/123.31 & (! [L,M] : 123.03/123.31 ( ( unequally_directed_lines(L,M) 123.03/123.31 | unequally_directed_lines(L,reverse_line(M)) ) 123.03/123.31 <= ( line(M) 123.03/123.31 & line(L) ) )) 123.03/123.31 & (~ (! [L,A,B,C] : 123.03/123.31 ( ( distinct_points(A,B) 123.03/123.31 & distinct_points(B,C) 123.03/123.31 & distinct_points(A,C) 123.03/123.31 & line(L) ) 123.03/123.31 => ~ ( between_on_line(L,A,B,C) 123.03/123.31 & between_on_line(L,A,C,B) ) ))) ), 123.03/123.31 inference(conjoin,[status(thm)],[satresetcop_input_1,satresetcop_input_2,satresetcop_input_3,satresetcop_input_4,satresetcop_input_5,satresetcop_input_6,satresetcop_input_7,satresetcop_input_8,satresetcop_input_9,satresetcop_input_10,satresetcop_input_11,satresetcop_input_12,satresetcop_input_13,satresetcop_input_14,satresetcop_input_15,satresetcop_input_16,satresetcop_input_17,satresetcop_input_18,satresetcop_input_19,satresetcop_input_20,satresetcop_input_21,satresetcop_input_22,satresetcop_input_23,satresetcop_input_24,satresetcop_input_25,satresetcop_input_26,satresetcop_input_27,satresetcop_input_28,satresetcop_input_29,satresetcop_input_30,satresetcop_input_31,satresetcop_negated_conjecture_32])). 123.03/123.31 fof(satresetcop_cnf_matrix,plain, 123.03/123.31 ! [X1,X2,X3,X4] : 123.03/123.31 ( (( distinct_points(f_skolem_2,f_skolem_3) )) 123.03/123.31 & (( distinct_points(f_skolem_3,f_skolem_4) )) 123.03/123.31 & (( distinct_points(f_skolem_2,f_skolem_4) )) 123.03/123.31 & (( line(f_skolem_1) )) 123.03/123.31 & (( between_on_line(f_skolem_1,f_skolem_2,f_skolem_3,f_skolem_4) )) 123.03/123.31 & (( between_on_line(f_skolem_1,f_skolem_2,f_skolem_4,f_skolem_3) )) 123.03/123.31 & (( ~ apart_point_and_line(X1,parallel_through_point(X2,X1)) )) 123.03/123.31 & (( line(line_connecting(X1,X2)) | ~ point(X2) | ~ distinct_points(X1,X2) | ~ point(X1) )) 123.03/123.31 & (( ~ distinct_points(X1,X1) )) 123.03/123.31 & (( ~ apart_point_and_line(intersection_point(X1,X2),X1) | ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) )) 123.03/123.31 & (( ~ apart_point_and_line(intersection_point(X1,X2),X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) | left_convergent_lines(X1,X2) | left_convergent_lines(X1,reverse_line(X2)) )) 123.03/123.31 & (( line(parallel_through_point(X1,X2)) | ~ point(X2) | ~ line(X1) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,X2) | unequally_directed_lines(X1,X3) | unequally_directed_lines(X2,X3) )) 123.03/123.31 & (( ~ distinct_lines(X1,reverse_line(X1)) )) 123.03/123.31 & (( ~ unequally_directed_lines(parallel_through_point(X1,X2),X1) )) 123.03/123.31 & (( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X2,reverse_line(X1)) )) 123.03/123.31 & (( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X2,X1) )) 123.03/123.31 & (( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X3,reverse_line(X1)) )) 123.03/123.31 & (( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X3,X1) )) 123.03/123.31 & (( ~ before_on_line(X1,X2,X3) | ~ unequally_directed_lines(X1,line_connecting(X2,X3)) )) 123.03/123.31 & (( ~ before_on_line(X1,X2,X3) | distinct_points(X2,X3) )) 123.03/123.31 & (( before_on_line(X1,X2,X3) | left_apart_point(X2,X1) | left_apart_point(X2,reverse_line(X1)) | left_apart_point(X3,X1) | left_apart_point(X3,reverse_line(X1)) | unequally_directed_lines(X1,line_connecting(X2,X3)) | ~ distinct_points(X2,X3) )) 123.03/123.31 & (( ~ left_apart_point(X1,reverse_line(X2)) | apart_point_and_line(X1,X2) )) 123.03/123.31 & (( ~ left_apart_point(X1,X2) | apart_point_and_line(X1,X2) )) 123.03/123.31 & (( ~ apart_point_and_line(X1,X2) | left_apart_point(X1,reverse_line(X2)) | left_apart_point(X1,X2) )) 123.03/123.31 & (( ~ left_apart_point(X1,X2) | ~ distinct_points(X1,X3) | left_apart_point(X3,X2) | left_convergent_lines(line_connecting(X1,X3),X2) )) 123.03/123.31 & (( ~ left_convergent_lines(X1,reverse_line(X2)) )) 123.03/123.31 & (( ~ left_convergent_lines(X1,X2) )) 123.03/123.31 & (( ~ distinct_points(X1,X2) | distinct_points(X2,X3) | distinct_points(X1,X3) )) 123.03/123.31 & (( unequally_directed_lines(X1,X2) | ~ convergent_lines(X1,X2) )) 123.03/123.31 & (( unequally_directed_lines(X1,reverse_line(X2)) | ~ convergent_lines(X1,X2) )) 123.03/123.31 & (( convergent_lines(X1,X2) | ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) )) 123.03/123.31 & (( ~ distinct_lines(X1,X1) )) 123.03/123.31 & (( ~ left_apart_point(X1,X2) )) 123.03/123.31 & (( ~ left_apart_point(X1,reverse_line(X2)) )) 123.03/123.31 & (( ~ left_convergent_lines(X1,X2) | unequally_directed_lines(X2,X3) | left_convergent_lines(X1,X3) )) 123.03/123.31 & (( ~ divides_points(X1,X2,X3) | left_apart_point(X3,reverse_line(X1)) | left_apart_point(X3,X1) )) 123.03/123.31 & (( ~ divides_points(X1,X2,X3) | left_apart_point(X3,reverse_line(X1)) | left_apart_point(X2,reverse_line(X1)) )) 123.03/123.31 & (( ~ divides_points(X1,X2,X3) | left_apart_point(X2,X1) | left_apart_point(X3,X1) )) 123.03/123.31 & (( ~ divides_points(X1,X2,X3) | left_apart_point(X2,X1) | left_apart_point(X2,reverse_line(X1)) )) 123.03/123.31 & (( divides_points(X1,X2,X3) | ~ left_apart_point(X3,reverse_line(X1)) | ~ left_apart_point(X2,X1) )) 123.03/123.31 & (( divides_points(X1,X2,X3) | ~ left_apart_point(X3,X1) | ~ left_apart_point(X2,reverse_line(X1)) )) 123.03/123.31 & (( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X2,X3) | before_on_line(X1,X4,X3) )) 123.03/123.31 & (( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X2,X3) | before_on_line(X1,X3,X2) )) 123.03/123.31 & (( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X3,X4) | before_on_line(X1,X4,X3) )) 123.03/123.31 & (( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X3,X4) | before_on_line(X1,X3,X2) )) 123.03/123.31 & (( between_on_line(X1,X2,X3,X4) | ~ before_on_line(X1,X2,X3) | ~ before_on_line(X1,X3,X4) )) 123.03/123.31 & (( between_on_line(X1,X2,X3,X4) | ~ before_on_line(X1,X4,X3) | ~ before_on_line(X1,X3,X2) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,reverse_line(X3)) | unequally_directed_lines(X2,reverse_line(X3)) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,reverse_line(X3)) | unequally_directed_lines(X2,X3) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,X3) | unequally_directed_lines(X2,reverse_line(X3)) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,X3) | unequally_directed_lines(X2,X3) )) 123.03/123.31 & (( ~ unequally_directed_lines(X1,X1) )) 123.03/123.31 & (( ~ distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) )) 123.03/123.31 & (( ~ distinct_lines(X1,X2) | ~ distinct_points(X3,X4) | left_apart_point(X3,reverse_line(X2)) | left_apart_point(X4,reverse_line(X2)) | left_apart_point(X4,reverse_line(X1)) | left_apart_point(X3,reverse_line(X1)) | left_apart_point(X4,X2) | left_apart_point(X3,X2) | left_apart_point(X4,X1) | left_apart_point(X3,X1) )) 123.03/123.31 & (( ~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) )) 123.03/123.31 & (( ~ left_apart_point(X1,X2) | ~ unequally_directed_lines(X2,X3) | distinct_lines(X2,X3) | left_apart_point(X1,reverse_line(X3)) )) 123.03/123.31 & (( ~ line(X1) | line(reverse_line(X1)) )) 123.03/123.31 & (( ~ distinct_points(X1,X2) | ~ apart_point_and_line(X1,line_connecting(X1,X2)) )) 123.03/123.31 & (( ~ distinct_points(X1,X2) | ~ apart_point_and_line(X2,line_connecting(X1,X2)) )) 123.03/123.31 & (( ~ left_apart_point(X1,X2) | left_apart_point(X3,X2) | distinct_points(X1,X3) )) 123.03/123.31 & (( ~ line(X1) | ~ line(X2) | unequally_directed_lines(X1,X2) | unequally_directed_lines(X1,reverse_line(X2)) )) 123.03/123.31 & (( point(intersection_point(X1,X2)) | ~ line(X1) | ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) | ~ line(X2) )) ), 123.03/123.31 inference(clausify,[status(esa),new_symbols(skolem,[f_skolem_1,f_skolem_2,f_skolem_3,f_skolem_4])],[satresetcop_premises])). 123.03/123.31 cnf(satresetcop_matrix_1,plain, 123.03/123.31 ( distinct_points(f_skolem_2,f_skolem_3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_2,plain, 123.03/123.31 ( distinct_points(f_skolem_3,f_skolem_4) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_3,plain, 123.03/123.31 ( distinct_points(f_skolem_2,f_skolem_4) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_4,plain, 123.03/123.31 ( line(f_skolem_1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_5,plain, 123.03/123.31 ( between_on_line(f_skolem_1,f_skolem_2,f_skolem_3,f_skolem_4) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_6,plain, 123.03/123.31 ( between_on_line(f_skolem_1,f_skolem_2,f_skolem_4,f_skolem_3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_7,plain, 123.03/123.31 ( ~ apart_point_and_line(X1,parallel_through_point(X2,X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_8,plain, 123.03/123.31 ( line(line_connecting(X1,X2)) | ~ point(X2) | ~ distinct_points(X1,X2) | ~ point(X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_9,plain, 123.03/123.31 ( ~ distinct_points(X1,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_10,plain, 123.03/123.31 ( ~ apart_point_and_line(intersection_point(X1,X2),X1) | ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_11,plain, 123.03/123.31 ( ~ apart_point_and_line(intersection_point(X1,X2),X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_12,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) | left_convergent_lines(X1,X2) | left_convergent_lines(X1,reverse_line(X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_13,plain, 123.03/123.31 ( line(parallel_through_point(X1,X2)) | ~ point(X2) | ~ line(X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_14,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,X2) | unequally_directed_lines(X1,X3) | unequally_directed_lines(X2,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_15,plain, 123.03/123.31 ( ~ distinct_lines(X1,reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_16,plain, 123.03/123.31 ( ~ unequally_directed_lines(parallel_through_point(X1,X2),X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_17,plain, 123.03/123.31 ( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X2,reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_18,plain, 123.03/123.31 ( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X2,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_19,plain, 123.03/123.31 ( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X3,reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_20,plain, 123.03/123.31 ( ~ before_on_line(X1,X2,X3) | ~ left_apart_point(X3,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_21,plain, 123.03/123.31 ( ~ before_on_line(X1,X2,X3) | ~ unequally_directed_lines(X1,line_connecting(X2,X3)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_22,plain, 123.03/123.31 ( ~ before_on_line(X1,X2,X3) | distinct_points(X2,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_23,plain, 123.03/123.31 ( before_on_line(X1,X2,X3) | left_apart_point(X2,X1) | left_apart_point(X2,reverse_line(X1)) | left_apart_point(X3,X1) | left_apart_point(X3,reverse_line(X1)) | unequally_directed_lines(X1,line_connecting(X2,X3)) | ~ distinct_points(X2,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_24,plain, 123.03/123.31 ( ~ left_apart_point(X1,reverse_line(X2)) | apart_point_and_line(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_25,plain, 123.03/123.31 ( ~ left_apart_point(X1,X2) | apart_point_and_line(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_26,plain, 123.03/123.31 ( ~ apart_point_and_line(X1,X2) | left_apart_point(X1,reverse_line(X2)) | left_apart_point(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_27,plain, 123.03/123.31 ( ~ left_apart_point(X1,X2) | ~ distinct_points(X1,X3) | left_apart_point(X3,X2) | left_convergent_lines(line_connecting(X1,X3),X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_28,plain, 123.03/123.31 ( ~ left_convergent_lines(X1,reverse_line(X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_29,plain, 123.03/123.31 ( ~ left_convergent_lines(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_30,plain, 123.03/123.31 ( ~ distinct_points(X1,X2) | distinct_points(X2,X3) | distinct_points(X1,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_31,plain, 123.03/123.31 ( unequally_directed_lines(X1,X2) | ~ convergent_lines(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_32,plain, 123.03/123.31 ( unequally_directed_lines(X1,reverse_line(X2)) | ~ convergent_lines(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_33,plain, 123.03/123.31 ( convergent_lines(X1,X2) | ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_34,plain, 123.03/123.31 ( ~ distinct_lines(X1,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_35,plain, 123.03/123.31 ( ~ left_apart_point(X1,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_36,plain, 123.03/123.31 ( ~ left_apart_point(X1,reverse_line(X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_37,plain, 123.03/123.31 ( ~ left_convergent_lines(X1,X2) | unequally_directed_lines(X2,X3) | left_convergent_lines(X1,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_38,plain, 123.03/123.31 ( ~ divides_points(X1,X2,X3) | left_apart_point(X3,reverse_line(X1)) | left_apart_point(X3,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_39,plain, 123.03/123.31 ( ~ divides_points(X1,X2,X3) | left_apart_point(X3,reverse_line(X1)) | left_apart_point(X2,reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_40,plain, 123.03/123.31 ( ~ divides_points(X1,X2,X3) | left_apart_point(X2,X1) | left_apart_point(X3,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_41,plain, 123.03/123.31 ( ~ divides_points(X1,X2,X3) | left_apart_point(X2,X1) | left_apart_point(X2,reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_42,plain, 123.03/123.31 ( divides_points(X1,X2,X3) | ~ left_apart_point(X3,reverse_line(X1)) | ~ left_apart_point(X2,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_43,plain, 123.03/123.31 ( divides_points(X1,X2,X3) | ~ left_apart_point(X3,X1) | ~ left_apart_point(X2,reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_44,plain, 123.03/123.31 ( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X2,X3) | before_on_line(X1,X4,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_45,plain, 123.03/123.31 ( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X2,X3) | before_on_line(X1,X3,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_46,plain, 123.03/123.31 ( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X3,X4) | before_on_line(X1,X4,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_47,plain, 123.03/123.31 ( ~ between_on_line(X1,X2,X3,X4) | before_on_line(X1,X3,X4) | before_on_line(X1,X3,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_48,plain, 123.03/123.31 ( between_on_line(X1,X2,X3,X4) | ~ before_on_line(X1,X2,X3) | ~ before_on_line(X1,X3,X4) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_49,plain, 123.03/123.31 ( between_on_line(X1,X2,X3,X4) | ~ before_on_line(X1,X4,X3) | ~ before_on_line(X1,X3,X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_50,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,reverse_line(X3)) | unequally_directed_lines(X2,reverse_line(X3)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_51,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,reverse_line(X3)) | unequally_directed_lines(X2,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_52,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,X3) | unequally_directed_lines(X2,reverse_line(X3)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_53,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,X2) | ~ unequally_directed_lines(X1,reverse_line(X2)) | unequally_directed_lines(X1,X3) | unequally_directed_lines(X2,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_54,plain, 123.03/123.31 ( ~ unequally_directed_lines(X1,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_55,plain, 123.03/123.31 ( ~ distinct_lines(X1,X2) | distinct_lines(X1,X3) | distinct_lines(X2,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_56,plain, 123.03/123.31 ( ~ distinct_lines(X1,X2) | ~ distinct_points(X3,X4) | left_apart_point(X3,reverse_line(X2)) | left_apart_point(X4,reverse_line(X2)) | left_apart_point(X4,reverse_line(X1)) | left_apart_point(X3,reverse_line(X1)) | left_apart_point(X4,X2) | left_apart_point(X3,X2) | left_apart_point(X4,X1) | left_apart_point(X3,X1) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_57,plain, 123.03/123.31 ( ~ unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1))) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_58,plain, 123.03/123.31 ( ~ left_apart_point(X1,X2) | ~ unequally_directed_lines(X2,X3) | distinct_lines(X2,X3) | left_apart_point(X1,reverse_line(X3)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_59,plain, 123.03/123.31 ( ~ line(X1) | line(reverse_line(X1)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_60,plain, 123.03/123.31 ( ~ distinct_points(X1,X2) | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_61,plain, 123.03/123.31 ( ~ distinct_points(X1,X2) | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_62,plain, 123.03/123.31 ( ~ left_apart_point(X1,X2) | left_apart_point(X3,X2) | distinct_points(X1,X3) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_63,plain, 123.03/123.31 ( ~ line(X1) | ~ line(X2) | unequally_directed_lines(X1,X2) | unequally_directed_lines(X1,reverse_line(X2)) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_matrix_64,plain, 123.03/123.31 ( point(intersection_point(X1,X2)) | ~ line(X1) | ~ unequally_directed_lines(X1,reverse_line(X2)) | ~ unequally_directed_lines(X1,X2) | ~ line(X2) ), 123.03/123.31 inference(split_conjunct,[status(thm)],[satresetcop_cnf_matrix])). 123.03/123.31 cnf(satresetcop_ground_1,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, reverse_line(f_skolem_1)) | ~ unequally_directed_lines(reverse_line(f_skolem_1), satresetcop_ground) | ~ unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(satresetcop_ground)) | unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(f_skolem_1)) ), 123.03/123.31 inference(instantiate,[status(thm),new_symbols(skolem,[satresetcop_ground])],[satresetcop_matrix_53])). 123.03/123.31 cnf(satresetcop_ground_2,plain, 123.03/123.31 ( unequally_directed_lines(reverse_line(satresetcop_ground), reverse_line(satresetcop_ground)) | unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) | ~ unequally_directed_lines(reverse_line(satresetcop_ground), line_connecting(satresetcop_ground, satresetcop_ground)) | ~ unequally_directed_lines(reverse_line(satresetcop_ground), reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_51])). 123.03/123.31 cnf(satresetcop_ground_3,plain, 123.03/123.31 ( left_convergent_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) | left_convergent_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_12])). 123.03/123.31 cnf(satresetcop_ground_4,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, satresetcop_ground) | ~ unequally_directed_lines(satresetcop_ground, line_connecting(satresetcop_ground, satresetcop_ground)) | unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(satresetcop_ground, reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_52])). 123.03/123.31 cnf(satresetcop_ground_5,plain, 123.03/123.31 ( ~ unequally_directed_lines(f_skolem_1, reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(f_skolem_1, satresetcop_ground) | unequally_directed_lines(f_skolem_1, reverse_line(reverse_line(f_skolem_1))) | unequally_directed_lines(satresetcop_ground, reverse_line(f_skolem_1)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_51])). 123.03/123.31 cnf(satresetcop_ground_6,plain, 123.03/123.31 ( ~ unequally_directed_lines(f_skolem_1, reverse_line(f_skolem_1)) | unequally_directed_lines(f_skolem_1, f_skolem_1) | ~ unequally_directed_lines(f_skolem_1, reverse_line(reverse_line(f_skolem_1))) | unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(f_skolem_1)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_52])). 123.03/123.31 cnf(satresetcop_ground_7,plain, 123.03/123.31 ( ~ unequally_directed_lines(satresetcop_ground, reverse_line(f_skolem_1)) | left_convergent_lines(satresetcop_ground, reverse_line(f_skolem_1)) | left_convergent_lines(satresetcop_ground, reverse_line(reverse_line(f_skolem_1))) | ~ unequally_directed_lines(satresetcop_ground, reverse_line(reverse_line(f_skolem_1))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_12])). 123.03/123.31 cnf(satresetcop_ground_8,plain, 123.03/123.31 ( ~ unequally_directed_lines(reverse_line(f_skolem_1), satresetcop_ground) | ~ unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(satresetcop_ground)) | unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(f_skolem_1)) | unequally_directed_lines(satresetcop_ground, reverse_line(reverse_line(f_skolem_1))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_52])). 123.03/123.31 cnf(satresetcop_ground_9,plain, 123.03/123.31 ( unequally_directed_lines(reverse_line(satresetcop_ground), satresetcop_ground) | unequally_directed_lines(reverse_line(f_skolem_1), satresetcop_ground) | ~ unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_10,plain, 123.03/123.31 ( unequally_directed_lines(reverse_line(satresetcop_ground), satresetcop_ground) | ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_11,plain, 123.03/123.31 ( unequally_directed_lines(reverse_line(satresetcop_ground), reverse_line(satresetcop_ground)) | unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(reverse_line(satresetcop_ground), line_connecting(satresetcop_ground, satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_12,plain, 123.03/123.31 ( unequally_directed_lines(f_skolem_1, satresetcop_ground) | unequally_directed_lines(reverse_line(f_skolem_1), satresetcop_ground) | ~ unequally_directed_lines(reverse_line(f_skolem_1), f_skolem_1) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_13,plain, 123.03/123.31 ( unequally_directed_lines(f_skolem_1, reverse_line(satresetcop_ground)) | unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(reverse_line(f_skolem_1), f_skolem_1) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_14,plain, 123.03/123.31 ( unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) | ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | unequally_directed_lines(reverse_line(satresetcop_ground), reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_15,plain, 123.03/123.31 ( unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) | ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) | unequally_directed_lines(satresetcop_ground, reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_16,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, line_connecting(satresetcop_ground, satresetcop_ground)) | ~ unequally_directed_lines(reverse_line(satresetcop_ground), satresetcop_ground) | unequally_directed_lines(reverse_line(satresetcop_ground), line_connecting(satresetcop_ground, satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_17,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, satresetcop_ground) | ~ unequally_directed_lines(satresetcop_ground, line_connecting(satresetcop_ground, satresetcop_ground)) | unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_18,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, satresetcop_ground) | ~ unequally_directed_lines(satresetcop_ground, reverse_line(f_skolem_1)) | unequally_directed_lines(reverse_line(f_skolem_1), satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_19,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, reverse_line(satresetcop_ground)) | unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_20,plain, 123.03/123.31 ( unequally_directed_lines(satresetcop_ground, reverse_line(satresetcop_ground)) | ~ unequally_directed_lines(reverse_line(f_skolem_1), satresetcop_ground) | unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_21,plain, 123.03/123.31 ( ~ unequally_directed_lines(satresetcop_ground, reverse_line(satresetcop_ground)) | unequally_directed_lines(satresetcop_ground, line_connecting(satresetcop_ground, satresetcop_ground)) | unequally_directed_lines(reverse_line(satresetcop_ground), line_connecting(satresetcop_ground, satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_22,plain, 123.03/123.31 ( ~ line(f_skolem_1) | unequally_directed_lines(f_skolem_1, reverse_line(f_skolem_1)) | unequally_directed_lines(f_skolem_1, f_skolem_1) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_63])). 123.03/123.31 cnf(satresetcop_ground_23,plain, 123.03/123.31 ( ~ unequally_directed_lines(f_skolem_1, reverse_line(f_skolem_1)) | unequally_directed_lines(f_skolem_1, f_skolem_1) | unequally_directed_lines(reverse_line(f_skolem_1), f_skolem_1) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_14])). 123.03/123.31 cnf(satresetcop_ground_24,plain, 123.03/123.31 ( line(f_skolem_1) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_4])). 123.03/123.31 cnf(satresetcop_ground_25,plain, 123.03/123.31 ( ~ unequally_directed_lines(satresetcop_ground, satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_54])). 123.03/123.31 cnf(satresetcop_ground_26,plain, 123.03/123.31 ( ~ unequally_directed_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(line_connecting(satresetcop_ground, satresetcop_ground))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_57])). 123.03/123.31 cnf(satresetcop_ground_27,plain, 123.03/123.31 ( ~ left_convergent_lines(line_connecting(satresetcop_ground, satresetcop_ground), satresetcop_ground) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_29])). 123.03/123.31 cnf(satresetcop_ground_28,plain, 123.03/123.31 ( ~ left_convergent_lines(line_connecting(satresetcop_ground, satresetcop_ground), reverse_line(satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_28])). 123.03/123.31 cnf(satresetcop_ground_29,plain, 123.03/123.31 ( ~ unequally_directed_lines(f_skolem_1, f_skolem_1) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_54])). 123.03/123.31 cnf(satresetcop_ground_30,plain, 123.03/123.31 ( ~ unequally_directed_lines(reverse_line(satresetcop_ground), reverse_line(satresetcop_ground)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_54])). 123.03/123.31 cnf(satresetcop_ground_31,plain, 123.03/123.31 ( ~ unequally_directed_lines(reverse_line(f_skolem_1), reverse_line(f_skolem_1)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_54])). 123.03/123.31 cnf(satresetcop_ground_32,plain, 123.03/123.31 ( ~ left_convergent_lines(satresetcop_ground, reverse_line(f_skolem_1)) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_28])). 123.03/123.31 cnf(satresetcop_ground_33,plain, 123.03/123.31 ( ~ left_convergent_lines(satresetcop_ground, reverse_line(reverse_line(f_skolem_1))) ), 123.03/123.31 inference(instantiate,[status(thm)],[satresetcop_matrix_28])). 123.03/123.31 cnf(satresetcop_false,plain, 123.03/123.31 $false, 123.03/123.31 inference(sat_refutation,[status(thm)],[satresetcop_ground_1,satresetcop_ground_2,satresetcop_ground_3,satresetcop_ground_4,satresetcop_ground_5,satresetcop_ground_6,satresetcop_ground_7,satresetcop_ground_8,satresetcop_ground_9,satresetcop_ground_10,satresetcop_ground_11,satresetcop_ground_12,satresetcop_ground_13,satresetcop_ground_14,satresetcop_ground_15,satresetcop_ground_16,satresetcop_ground_17,satresetcop_ground_18,satresetcop_ground_19,satresetcop_ground_20,satresetcop_ground_21,satresetcop_ground_22,satresetcop_ground_23,satresetcop_ground_24,satresetcop_ground_25,satresetcop_ground_26,satresetcop_ground_27,satresetcop_ground_28,satresetcop_ground_29,satresetcop_ground_30,satresetcop_ground_31,satresetcop_ground_32,satresetcop_ground_33]), 123.03/123.31 [proof]). 123.03/123.31 % SZS output end CNFRefutation for theBenchmark 123.03/123.36 EOF