%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO215+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:16:47 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO215+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.31 % Computer : n016.cluster.edu % 0.14/0.31 % Model : x86_64 x86_64 % 0.14/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.31 % Memory : 8042.1875MB % 0.14/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.31 % CPULimit : 300 % 0.14/0.31 % WCLimit : 300 % 0.14/0.31 % DateTime : Mon Jun 1 23:40:54 EDT 2026 % 0.14/0.32 % CPUTime : % 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t2 () (@list @t1)) % 0.45/0.66 (define @t3 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t4 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.45/0.67 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.45/0.67 (define @t7 () (@list @t1 @t4 @t3)) % 0.45/0.67 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.45/0.67 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.45/0.67 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.45/0.67 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.45/0.67 (define @t12 () (or @t11 @t10)) % 0.45/0.67 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.45/0.67 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.45/0.67 (define @t15 () (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4))) % 0.45/0.67 (define @t16 () (tptp.apart_point_and_line @t3 @t4)) % 0.45/0.67 (define @t17 () (tptp.apart_point_and_line @t3 @t1)) % 0.45/0.67 (define @t18 () (or @t17 @t16)) % 0.45/0.67 (define @t19 () (=> @t18 @t15)) % 0.45/0.67 (define @t20 () (forall @t7 (=> @t13 @t19))) % 0.45/0.67 (define @t21 () (@var "V" $$unsorted)) % 0.45/0.67 (define @t22 () (@var "U" $$unsorted)) % 0.45/0.67 (define @t23 () (tptp.apart_point_and_line @t1 @t4)) % 0.45/0.67 (define @t24 () (tptp.apart_point_and_line @t1 @t3)) % 0.45/0.67 (define @t25 () (@list @t1 @t4)) % 0.45/0.67 (define @t26 () (forall @t25 (=> @t13 @t9))) % 0.45/0.67 (define @t27 () (tptp.parallel_through_point @t4 @t1)) % 0.45/0.67 (define @t28 () (@var "M" $$unsorted)) % 0.45/0.67 (define @t29 () (@var "L" $$unsorted)) % 0.45/0.67 (define @t30 () (tptp.unorthogonal_lines @t29 @t28)) % 0.45/0.67 (define @t31 () (tptp.convergent_lines @t29 @t28)) % 0.45/0.67 (define @t32 () (@var "N" $$unsorted)) % 0.45/0.67 (define @t33 () (tptp.unorthogonal_lines @t28 @t32)) % 0.45/0.67 (define @t34 () (tptp.unorthogonal_lines @t29 @t32)) % 0.45/0.67 (define @t35 () (@list @t29 @t28 @t32)) % 0.45/0.67 (define @t36 () (@var "A" $$unsorted)) % 0.45/0.67 (define @t37 () (tptp.orthogonal_through_point @t29 @t36)) % 0.45/0.67 (define @t38 () (@list @t36 @t29)) % 0.45/0.67 (define @t39 () (tptp.apart_point_and_line @t36 @t28)) % 0.45/0.67 (define @t40 () (tptp.apart_point_and_line @t36 @t29)) % 0.45/0.67 (define @t41 () (or @t40 @t39 @t34 @t33)) % 0.45/0.67 (define @t42 () (tptp.distinct_lines @t29 @t28)) % 0.45/0.67 (define @t43 () (@list @t36 @t29 @t28 @t32)) % 0.45/0.67 (define @t44 () (forall @t43 (=> @t42 @t41))) % 0.45/0.67 (define @t45 () (or @t34 @t33)) % 0.45/0.67 (define @t46 () (forall @t35 (=> @t31 @t45))) % 0.45/0.67 (define @t47 () (not @t46)) % 0.45/0.67 (define @t48 () (not @t42)) % 0.45/0.67 (define @t49 () (or @t48 @t40 @t39 @t34 @t33)) % 0.45/0.67 (define @t50 () (and (not @t17) (not @t16))) % 0.45/0.67 (define @t51 () (not @t13)) % 0.45/0.67 (define @t52 () (not @t31)) % 0.45/0.67 (define @t53 () (or @t52 @t34 @t33)) % 0.45/0.67 (define @t54 () (forall @t35 @t53)) % 0.45/0.67 (define @t55 () (@quantifiers_skolemize @t54 1)) % 0.45/0.67 (define @t56 () (@quantifiers_skolemize @t54 0)) % 0.45/0.67 (define @t57 () (tptp.intersection_point @t56 @t55)) % 0.45/0.67 (define @t58 () (tptp.convergent_lines @t56 @t55)) % 0.45/0.67 (define @t59 () (@quantifiers_skolemize @t54 2)) % 0.45/0.67 (define @t60 () (tptp.unorthogonal_lines @t55 @t59)) % 0.45/0.67 (define @t61 () (tptp.unorthogonal_lines @t56 @t59)) % 0.45/0.67 (define @t62 () (not @t58)) % 0.45/0.67 (define @t63 () (or @t62 @t61 @t60)) % 0.45/0.67 (define @t64 () (@list true)) % 0.45/0.67 (define @t65 () (@list @t63)) % 0.45/0.67 (define @t66 () (tptp.distinct_points @t57 @t57)) % 0.45/0.67 (define @t67 () (tptp.apart_point_and_line @t57 @t55)) % 0.45/0.67 (define @t68 () (not @t67)) % 0.45/0.67 (define @t69 () (tptp.apart_point_and_line @t57 @t56)) % 0.45/0.67 (define @t70 () (not @t69)) % 0.45/0.67 (define @t71 () (and @t70 @t68)) % 0.45/0.67 (define @t72 () (or @t62 @t71 @t66)) % 0.45/0.67 (define @t73 () (@list false true false)) % 0.45/0.67 (define @t74 () (not @t71)) % 0.45/0.67 (define @t75 () (@list false)) % 0.45/0.67 (define @t76 () (@list @t71)) % 0.45/0.67 (define @t77 () (tptp.convergent_lines @t55 @t56)) % 0.45/0.67 (define @t78 () (tptp.convergent_lines @t56 @t56)) % 0.45/0.67 (define @t79 () (or @t62 @t78 @t77)) % 0.45/0.67 (define @t80 () (tptp.distinct_lines @t55 @t56)) % 0.45/0.67 (define @t81 () (not @t77)) % 0.45/0.67 (define @t82 () (or @t81 @t80)) % 0.45/0.67 (define @t83 () (not @t80)) % 0.45/0.67 (define @t84 () (or @t83 @t67 @t69 @t60 @t61)) % 0.45/0.67 (define @t85 () (not @t84)) % 0.45/0.67 (define @t86 () (forall @t43 @t49)) % 0.45/0.67 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.45/0.67 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.45/0.67 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.45/0.67 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.45/0.67 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.45/0.67 (assume @p6 @t14) % 0.45/0.67 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.45/0.67 (assume @p8 @t20) % 0.45/0.67 (assume @p9 (forall (@list @t1 @t4 @t22 @t21) (=> (and @t6 (tptp.distinct_lines @t22 @t21)) (or (tptp.apart_point_and_line @t1 @t22) (tptp.apart_point_and_line @t1 @t21) (tptp.apart_point_and_line @t4 @t22) (tptp.apart_point_and_line @t4 @t21))))) % 0.45/0.67 (assume @p10 (forall @t7 (=> @t23 (or @t5 @t16)))) % 0.45/0.67 (assume @p11 (forall @t7 (=> @t23 (or @t8 @t24)))) % 0.45/0.67 (assume @p12 @t26) % 0.45/0.67 (assume @p13 (forall @t25 (not (tptp.convergent_lines @t27 @t4)))) % 0.45/0.67 (assume @p14 (forall @t25 (not (tptp.apart_point_and_line @t1 @t27)))) % 0.45/0.67 (assume @p15 (forall @t7 (=> @t8 (or @t23 @t24 @t10)))) % 0.45/0.67 (assume @p16 (forall (@list @t29 @t28) (or @t31 @t30))) % 0.45/0.67 (assume @p17 (forall @t35 (=> (and @t31 @t30) (or (and (tptp.convergent_lines @t29 @t32) @t34) (and (tptp.convergent_lines @t28 @t32) @t33))))) % 0.45/0.67 (assume @p18 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t29)))) % 0.45/0.67 (assume @p19 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37)))) % 0.45/0.67 (assume @p20 @t44) % 0.45/0.67 (assume @p21 @t47) % 0.45/0.67 (assume @p22 true) % 0.45/0.67 (step @p23 :rule aci_norm :args ((= (or @t48 @t41) @t49))) % 0.45/0.67 (step @p24 :rule bool-impl-elim :args (@t42 @t41)) % 0.45/0.67 (step @p25 :rule trans :premises (@p24 @p23)) % 0.45/0.67 (step @p26 :rule cong :premises (@p25) :args (@t44)) % 0.45/0.67 (step @p27 :rule eq_resolve :premises (@p20 @p26)) % 0.45/0.67 (step @p28 :rule aci_norm :args ((= (or @t51 (or @t50 @t15)) (or @t51 @t50 @t15)))) % 0.45/0.67 (step @p29 :rule refl :args (@t15)) % 0.45/0.67 (step @p30 :rule bool-or-de-morgan :args (@t17 @t16 false)) % 0.45/0.67 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t18) @t15))) % 0.45/0.67 (step @p32 :rule bool-impl-elim :args (@t18 @t15)) % 0.45/0.67 (step @p33 :rule trans :premises (@p32 @p31)) % 0.45/0.67 (step @p34 :rule refl :args (@t51)) % 0.45/0.67 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t51 @t19))) % 0.45/0.67 (step @p36 :rule trans :premises (@p35 @p28)) % 0.45/0.67 (step @p37 :rule bool-impl-elim :args (@t13 @t19)) % 0.45/0.67 (step @p38 :rule trans :premises (@p37 @p36)) % 0.45/0.67 (step @p39 :rule cong :premises (@p38) :args (@t20)) % 0.45/0.67 (step @p40 :rule eq_resolve :premises (@p8 @p39)) % 0.45/0.67 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t56 @t55 @t57))) % 0.45/0.67 (step @p42 :rule instantiate :premises (@p1) :args ((@list @t57))) % 0.45/0.67 (step @p43 :rule aci_norm :args ((= (or @t52 @t45) @t53))) % 0.45/0.67 (step @p44 :rule bool-impl-elim :args (@t31 @t45)) % 0.45/0.67 (step @p45 :rule trans :premises (@p44 @p43)) % 0.45/0.67 (step @p46 :rule cong :premises (@p45) :args (@t46)) % 0.45/0.67 (step @p47 :rule cong :premises (@p46) :args (@t47)) % 0.45/0.67 (step @p48 :rule eq_resolve :premises (@p21 @p47)) % 0.45/0.67 (step @p49 :rule skolemize :premises (@p48)) % 0.45/0.67 (step @p50 :rule bool-double-not-elim :args (@t58)) % 0.45/0.67 (step @p51 :rule refl :args (@t63)) % 0.45/0.67 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t63 (not @t62)))) % 0.45/0.67 (step @p53 :rule cnf_or_neg :args (@t63 0)) % 0.45/0.67 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.45/0.67 (step @p55 :rule reordering :premises (@p54) :args ((or @t58 @t63))) % 0.45/0.67 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t58 @t64 @t65)) % 0.45/0.67 (step @p57 :rule cnf_or_pos :args (@t72)) % 0.45/0.67 (step @p58 :rule reordering :premises (@p57) :args ((or @t62 @t71 @t66 (not @t72)))) % 0.45/0.67 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p42 @p41) :args (@t71 @t73 (@list @t58 @t66 @t72))) % 0.45/0.67 (step @p60 :rule cnf_and_pos :args (@t71 1)) % 0.45/0.67 (step @p61 :rule reordering :premises (@p60) :args ((or @t68 @t74))) % 0.45/0.67 (step @p62 :rule chain_m_resolution :premises (@p61 @p59) :args (@t68 @t75 @t76)) % 0.45/0.67 (step @p63 :rule cnf_and_pos :args (@t71 0)) % 0.45/0.67 (step @p64 :rule reordering :premises (@p63) :args ((or @t70 @t74))) % 0.45/0.67 (step @p65 :rule chain_m_resolution :premises (@p64 @p59) :args (@t70 @t75 @t76)) % 0.45/0.67 (step @p66 :rule bool-impl-elim :args (@t13 @t9)) % 0.45/0.67 (step @p67 :rule cong :premises (@p66) :args (@t26)) % 0.45/0.67 (step @p68 :rule eq_resolve :premises (@p12 @p67)) % 0.45/0.67 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t55 @t56))) % 0.45/0.67 (step @p70 :rule aci_norm :args ((= (or @t51 @t12) (or @t51 @t11 @t10)))) % 0.45/0.67 (step @p71 :rule bool-impl-elim :args (@t13 @t12)) % 0.45/0.67 (step @p72 :rule trans :premises (@p71 @p70)) % 0.45/0.67 (step @p73 :rule cong :premises (@p72) :args (@t14)) % 0.45/0.67 (step @p74 :rule eq_resolve :premises (@p6 @p73)) % 0.45/0.67 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t56 @t55 @t56))) % 0.45/0.67 (step @p76 :rule instantiate :premises (@p3) :args ((@list @t56))) % 0.45/0.67 (step @p77 :rule cnf_or_pos :args (@t79)) % 0.45/0.67 (step @p78 :rule reordering :premises (@p77) :args ((or @t62 @t78 @t77 (not @t79)))) % 0.45/0.67 (step @p79 :rule chain_m_resolution :premises (@p78 @p56 @p76 @p75) :args (@t77 @t73 (@list @t58 @t78 @t79))) % 0.45/0.67 (step @p80 :rule cnf_or_pos :args (@t82)) % 0.45/0.67 (step @p81 :rule reordering :premises (@p80) :args ((or @t81 @t80 (not @t82)))) % 0.45/0.67 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p69) :args (@t80 (@list false false) (@list @t77 @t82))) % 0.45/0.67 (step @p83 :rule cnf_or_neg :args (@t63 2)) % 0.45/0.67 (step @p84 :rule chain_m_resolution :premises (@p83 @p49) :args ((not @t60) @t64 @t65)) % 0.45/0.67 (step @p85 :rule cnf_or_neg :args (@t63 1)) % 0.45/0.67 (step @p86 :rule chain_m_resolution :premises (@p85 @p49) :args ((not @t61) @t64 @t65)) % 0.45/0.67 (step @p87 :rule cnf_or_pos :args (@t84)) % 0.45/0.67 (step @p88 :rule reordering :premises (@p87) :args ((or @t61 @t60 @t83 @t69 @t67 @t85))) % 0.45/0.67 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p84 @p82 @p65 @p62) :args (@t85 (@list true true false true true) (@list @t61 @t60 @t80 @t69 @t67))) % 0.45/0.67 (assume-push @p96 @t86) % 0.45/0.67 (step @p91 :rule instantiate :premises (@p27) :args ((@list @t57 @t55 @t56 @t59))) % 0.45/0.67 (step-pop @p97 :rule scope :premises (@p91)) % 0.45/0.67 (step @p92 :rule process_scope :premises (@p97) :args (@t84)) % 0.45/0.67 (step @p94 :rule implies_elim :premises (@p92)) % 0.45/0.67 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p27) :args (false (@list true false) (@list @t84 @t86))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------