%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO218+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 : n015.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 08:16:48 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO218+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:40:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort $$unsorted 0) % 0.32/0.55 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.55 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.55 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.32/0.55 (define @t2 () (@list @t1)) % 0.32/0.55 (define @t3 () (@var "Z" $$unsorted)) % 0.32/0.55 (define @t4 () (@var "Y" $$unsorted)) % 0.32/0.55 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.32/0.55 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.32/0.55 (define @t7 () (@list @t1 @t4 @t3)) % 0.32/0.55 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.32/0.55 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.32/0.55 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.32/0.55 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.32/0.55 (define @t12 () (or @t11 @t10)) % 0.32/0.55 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.32/0.55 (define @t14 () (forall @t7 (=> @t13 @t12))) % 0.32/0.55 (define @t15 () (tptp.apart_point_and_line @t3 @t4)) % 0.32/0.55 (define @t16 () (@var "V" $$unsorted)) % 0.32/0.55 (define @t17 () (@var "U" $$unsorted)) % 0.32/0.55 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.32/0.55 (define @t19 () (@var "M" $$unsorted)) % 0.32/0.55 (define @t20 () (@var "L" $$unsorted)) % 0.32/0.55 (define @t21 () (tptp.unorthogonal_lines @t20 @t19)) % 0.32/0.55 (define @t22 () (not @t21)) % 0.32/0.55 (define @t23 () (tptp.convergent_lines @t20 @t19)) % 0.32/0.55 (define @t24 () (not @t23)) % 0.32/0.55 (define @t25 () (forall (@list @t20 @t19) (not (and @t24 @t22)))) % 0.32/0.55 (define @t26 () (@var "N" $$unsorted)) % 0.32/0.55 (define @t27 () (not (tptp.unorthogonal_lines @t19 @t26))) % 0.32/0.55 (define @t28 () (not (tptp.convergent_lines @t19 @t26))) % 0.32/0.55 (define @t29 () (or @t28 @t27)) % 0.32/0.55 (define @t30 () (tptp.unorthogonal_lines @t20 @t26)) % 0.32/0.55 (define @t31 () (not @t30)) % 0.32/0.55 (define @t32 () (tptp.convergent_lines @t20 @t26)) % 0.32/0.55 (define @t33 () (not @t32)) % 0.32/0.55 (define @t34 () (or @t33 @t31)) % 0.32/0.55 (define @t35 () (or @t24 @t22)) % 0.32/0.55 (define @t36 () (and @t35 @t34)) % 0.32/0.55 (define @t37 () (@list @t20 @t19 @t26)) % 0.32/0.55 (define @t38 () (forall @t37 (=> @t36 @t29))) % 0.32/0.55 (define @t39 () (and @t22 @t31)) % 0.32/0.55 (define @t40 () (forall @t37 (=> @t39 @t28))) % 0.32/0.55 (define @t41 () (and @t24 @t31)) % 0.32/0.55 (define @t42 () (forall @t37 (=> @t41 @t27))) % 0.32/0.55 (define @t43 () (not @t42)) % 0.32/0.55 (define @t44 () (not @t13)) % 0.32/0.55 (define @t45 () (or @t44 @t11 @t10)) % 0.32/0.55 (define @t46 () (or @t23 @t30 @t27)) % 0.32/0.55 (define @t47 () (forall @t37 @t46)) % 0.32/0.55 (define @t48 () (@quantifiers_skolemize @t47 1)) % 0.32/0.55 (define @t49 () (@quantifiers_skolemize @t47 2)) % 0.32/0.55 (define @t50 () (@quantifiers_skolemize @t47 0)) % 0.32/0.55 (define @t51 () (not @t22)) % 0.32/0.55 (define @t52 () (not @t24)) % 0.32/0.55 (define @t53 () (not @t31)) % 0.32/0.55 (define @t54 () (tptp.unorthogonal_lines @t48 @t49)) % 0.32/0.55 (define @t55 () (not @t54)) % 0.32/0.55 (define @t56 () (tptp.unorthogonal_lines @t50 @t49)) % 0.32/0.55 (define @t57 () (tptp.convergent_lines @t50 @t48)) % 0.32/0.55 (define @t58 () (or @t57 @t56 @t55)) % 0.32/0.55 (define @t59 () (@list true)) % 0.32/0.55 (define @t60 () (@list @t58)) % 0.32/0.55 (define @t61 () (tptp.convergent_lines @t50 @t49)) % 0.32/0.55 (define @t62 () (or @t61 @t56)) % 0.32/0.55 (define @t63 () (@list true false)) % 0.32/0.55 (define @t64 () (tptp.convergent_lines @t49 @t48)) % 0.32/0.55 (define @t65 () (not @t61)) % 0.32/0.55 (define @t66 () (or @t65 @t57 @t64)) % 0.32/0.55 (define @t67 () (and @t32 @t30)) % 0.32/0.55 (define @t68 () (and @t23 @t21)) % 0.32/0.55 (define @t69 () (and @t61 @t56)) % 0.32/0.55 (define @t70 () (not @t69)) % 0.32/0.55 (define @t71 () (and @t57 (tptp.unorthogonal_lines @t50 @t48))) % 0.32/0.55 (define @t72 () (not @t71)) % 0.32/0.55 (define @t73 () (tptp.convergent_lines @t48 @t49)) % 0.32/0.55 (define @t74 () (not @t73)) % 0.32/0.55 (define @t75 () (or @t71 @t69 @t74 @t55)) % 0.32/0.55 (define @t76 () (tptp.convergent_lines @t49 @t49)) % 0.32/0.55 (define @t77 () (not @t76)) % 0.32/0.55 (define @t78 () (or @t56 @t56 @t77)) % 0.32/0.55 (define @t79 () (not @t64)) % 0.32/0.55 (define @t80 () (or @t79 @t76 @t73)) % 0.32/0.55 (define @t81 () (not @t80)) % 0.32/0.55 (define @t82 () (forall @t7 @t45)) % 0.32/0.55 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.32/0.55 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.32/0.55 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.32/0.55 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.32/0.55 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.32/0.55 (assume @p6 @t14) % 0.32/0.55 (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)))))) % 0.32/0.55 (assume @p8 (forall @t7 (=> @t13 (=> (or (tptp.apart_point_and_line @t3 @t1) @t15) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.32/0.55 (assume @p9 (forall (@list @t1 @t4 @t17 @t16) (=> (and @t6 (tptp.distinct_lines @t17 @t16)) (or (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t1 @t16) (tptp.apart_point_and_line @t4 @t17) (tptp.apart_point_and_line @t4 @t16))))) % 0.32/0.55 (assume @p10 (forall @t7 (=> @t18 (or @t5 @t15)))) % 0.32/0.55 (assume @p11 (forall @t7 (=> @t18 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.32/0.55 (assume @p12 (forall (@list @t1 @t4) (=> @t13 @t9))) % 0.32/0.55 (assume @p13 @t25) % 0.32/0.55 (assume @p14 @t38) % 0.32/0.55 (assume @p15 @t40) % 0.32/0.55 (assume @p16 @t43) % 0.32/0.55 (assume @p17 true) % 0.32/0.55 (step @p18 :rule aci_norm :args ((= (or @t44 @t12) @t45))) % 0.32/0.55 (step @p19 :rule bool-impl-elim :args (@t13 @t12)) % 0.32/0.55 (step @p20 :rule trans :premises (@p19 @p18)) % 0.32/0.55 (step @p21 :rule cong :premises (@p20) :args (@t14)) % 0.32/0.55 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 0.32/0.55 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t50 @t49 @t48))) % 0.32/0.55 (step @p24 :rule bool-double-not-elim :args (@t21)) % 0.32/0.55 (step @p25 :rule bool-double-not-elim :args (@t23)) % 0.32/0.55 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t52 @t51))) % 0.32/0.55 (step @p27 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.32/0.55 (step @p28 :rule trans :premises (@p27 @p26)) % 0.32/0.55 (step @p29 :rule cong :premises (@p28) :args (@t25)) % 0.32/0.55 (step @p30 :rule eq_resolve :premises (@p13 @p29)) % 0.32/0.55 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t50 @t49))) % 0.32/0.55 (step @p32 :rule aci_norm :args ((= (or (or @t23 @t30) @t27) @t46))) % 0.32/0.55 (step @p33 :rule refl :args (@t27)) % 0.32/0.55 (step @p34 :rule bool-double-not-elim :args (@t30)) % 0.32/0.55 (step @p35 :rule nary_cong :premises (@p25 @p34) :args ((or @t52 @t53))) % 0.32/0.55 (step @p36 :rule bool-and-de-morgan :args (@t24 @t31 true)) % 0.32/0.55 (step @p37 :rule trans :premises (@p36 @p35)) % 0.32/0.55 (step @p38 :rule nary_cong :premises (@p37 @p33) :args ((or (not @t41) @t27))) % 0.32/0.55 (step @p39 :rule trans :premises (@p38 @p32)) % 0.32/0.55 (step @p40 :rule bool-impl-elim :args (@t41 @t27)) % 0.32/0.55 (step @p41 :rule trans :premises (@p40 @p39)) % 0.32/0.55 (step @p42 :rule cong :premises (@p41) :args (@t42)) % 0.32/0.55 (step @p43 :rule cong :premises (@p42) :args (@t43)) % 0.32/0.55 (step @p44 :rule eq_resolve :premises (@p16 @p43)) % 0.32/0.55 (step @p45 :rule skolemize :premises (@p44)) % 0.32/0.55 (step @p46 :rule cnf_or_neg :args (@t58 1)) % 0.32/0.55 (step @p47 :rule chain_m_resolution :premises (@p46 @p45) :args ((not @t56) @t59 @t60)) % 0.32/0.55 (step @p48 :rule cnf_or_pos :args (@t62)) % 0.32/0.55 (step @p49 :rule reordering :premises (@p48) :args ((or @t56 @t61 (not @t62)))) % 0.32/0.55 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p31) :args (@t61 @t63 (@list @t56 @t62))) % 0.32/0.55 (step @p51 :rule cnf_or_neg :args (@t58 0)) % 0.32/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args ((not @t57) @t59 @t60)) % 0.32/0.55 (step @p53 :rule cnf_or_pos :args (@t66)) % 0.32/0.55 (step @p54 :rule reordering :premises (@p53) :args ((or @t57 @t65 @t64 (not @t66)))) % 0.32/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p50 @p23) :args (@t64 (@list true false false) (@list @t57 @t61 @t66))) % 0.32/0.55 (step @p56 :rule aci_norm :args ((= (or (or @t68 @t67) @t29) (or @t68 @t67 @t28 @t27)))) % 0.32/0.55 (step @p57 :rule refl :args (@t29)) % 0.32/0.55 (step @p58 :rule bool-double-not-elim :args (@t32)) % 0.32/0.55 (step @p59 :rule nary_cong :premises (@p58 @p34) :args ((and (not @t33) @t53))) % 0.32/0.55 (step @p60 :rule bool-or-de-morgan :args (@t33 @t31 false)) % 0.32/0.55 (step @p61 :rule trans :premises (@p60 @p59)) % 0.32/0.55 (step @p62 :rule nary_cong :premises (@p25 @p24) :args ((and @t52 @t51))) % 0.32/0.55 (step @p63 :rule bool-or-de-morgan :args (@t24 @t22 false)) % 0.32/0.55 (step @p64 :rule trans :premises (@p63 @p62)) % 0.32/0.55 (step @p65 :rule nary_cong :premises (@p64 @p61) :args ((or (not @t35) (not @t34)))) % 0.32/0.55 (step @p66 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.32/0.55 (step @p67 :rule trans :premises (@p66 @p65)) % 0.32/0.55 (step @p68 :rule nary_cong :premises (@p67 @p57) :args ((or (not @t36) @t29))) % 0.32/0.55 (step @p69 :rule trans :premises (@p68 @p56)) % 0.32/0.55 (step @p70 :rule bool-impl-elim :args (@t36 @t29)) % 0.32/0.55 (step @p71 :rule trans :premises (@p70 @p69)) % 0.32/0.55 (step @p72 :rule cong :premises (@p71) :args (@t38)) % 0.32/0.55 (step @p73 :rule eq_resolve :premises (@p14 @p72)) % 0.32/0.55 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t50 @t48 @t49))) % 0.32/0.55 (step @p75 :rule cnf_and_pos :args (@t69 1)) % 0.32/0.55 (step @p76 :rule reordering :premises (@p75) :args ((or @t56 @t70))) % 0.32/0.55 (step @p77 :rule chain_m_resolution :premises (@p76 @p47) :args (@t70 @t59 (@list @t56))) % 0.32/0.55 (step @p78 :rule cnf_and_pos :args (@t71 0)) % 0.32/0.55 (step @p79 :rule reordering :premises (@p78) :args ((or @t57 @t72))) % 0.32/0.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p52) :args (@t72 @t59 (@list @t57))) % 0.32/0.55 (step @p81 :rule bool-double-not-elim :args (@t54)) % 0.32/0.55 (step @p82 :rule refl :args (@t58)) % 0.32/0.55 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t58 (not @t55)))) % 0.32/0.55 (step @p84 :rule cnf_or_neg :args (@t58 2)) % 0.32/0.55 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.32/0.55 (step @p86 :rule reordering :premises (@p85) :args ((or @t54 @t58))) % 0.32/0.55 (step @p87 :rule chain_m_resolution :premises (@p86 @p45) :args (@t54 @t59 @t60)) % 0.32/0.55 (step @p88 :rule cnf_or_pos :args (@t75)) % 0.32/0.55 (step @p89 :rule reordering :premises (@p88) :args ((or @t55 @t71 @t69 @t74 (not @t75)))) % 0.32/0.55 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p80 @p77 @p74) :args (@t74 (@list false true true false) (@list @t54 @t71 @t69 @t75))) % 0.32/0.55 (step @p91 :rule aci_norm :args ((= (or (or @t21 @t30) @t28) (or @t21 @t30 @t28)))) % 0.32/0.55 (step @p92 :rule refl :args (@t28)) % 0.32/0.55 (step @p93 :rule nary_cong :premises (@p24 @p34) :args ((or @t51 @t53))) % 0.32/0.55 (step @p94 :rule bool-and-de-morgan :args (@t22 @t31 true)) % 0.32/0.55 (step @p95 :rule trans :premises (@p94 @p93)) % 0.32/0.55 (step @p96 :rule nary_cong :premises (@p95 @p92) :args ((or (not @t39) @t28))) % 0.32/0.55 (step @p97 :rule trans :premises (@p96 @p91)) % 0.32/0.55 (step @p98 :rule bool-impl-elim :args (@t39 @t28)) % 0.32/0.55 (step @p99 :rule trans :premises (@p98 @p97)) % 0.32/0.55 (step @p100 :rule cong :premises (@p99) :args (@t40)) % 0.32/0.55 (step @p101 :rule eq_resolve :premises (@p15 @p100)) % 0.32/0.55 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t50 @t49 @t49))) % 0.32/0.55 (step @p103 :rule cnf_or_pos :args (@t78)) % 0.32/0.55 (step @p104 :rule factoring :premises (@p103)) % 0.32/0.55 (step @p105 :rule reordering :premises (@p104) :args ((or @t56 @t77 (not @t78)))) % 0.32/0.55 (step @p106 :rule chain_m_resolution :premises (@p105 @p47 @p102) :args (@t77 @t63 (@list @t56 @t78))) % 0.32/0.55 (step @p107 :rule cnf_or_pos :args (@t80)) % 0.32/0.55 (step @p108 :rule reordering :premises (@p107) :args ((or @t76 @t73 @t79 @t81))) % 0.32/0.55 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p90 @p55) :args (@t81 (@list true true false) (@list @t76 @t73 @t64))) % 0.32/0.55 (assume-push @p116 @t82) % 0.32/0.55 (step @p111 :rule instantiate :premises (@p22) :args ((@list @t49 @t48 @t49))) % 0.32/0.55 (step-pop @p117 :rule scope :premises (@p111)) % 0.32/0.55 (step @p112 :rule process_scope :premises (@p117) :args (@t80)) % 0.32/0.55 (step @p114 :rule implies_elim :premises (@p112)) % 0.32/0.55 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p22) :args (false @t63 (@list @t80 @t82))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------