%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO212+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:16:45 AM UTC 2026 % Result : Theorem 0.62s 0.86s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO212+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:40:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.86 % SZS status Theorem % 0.62/0.86 % SZS output start Proof % 0.62/0.86 ( % 0.62/0.86 (declare-sort $$unsorted 0) % 0.62/0.86 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.86 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.62/0.86 (define @t1 () (@var "X" $$unsorted)) % 0.62/0.86 (define @t2 () (@list @t1)) % 0.62/0.86 (define @t3 () (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.62/0.86 (define @t4 () (@var "Z" $$unsorted)) % 0.62/0.86 (define @t5 () (@var "Y" $$unsorted)) % 0.62/0.86 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.62/0.86 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.62/0.86 (define @t8 () (@list @t1 @t5 @t4)) % 0.62/0.86 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.62/0.86 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.62/0.86 (define @t11 () (tptp.convergent_lines @t5 @t4)) % 0.62/0.86 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.62/0.86 (define @t13 () (or @t12 @t11)) % 0.62/0.86 (define @t14 () (tptp.convergent_lines @t1 @t5)) % 0.62/0.86 (define @t15 () (forall @t8 (=> @t14 @t13))) % 0.62/0.86 (define @t16 () (tptp.apart_point_and_line @t4 @t5)) % 0.62/0.86 (define @t17 () (@var "V" $$unsorted)) % 0.62/0.86 (define @t18 () (@var "U" $$unsorted)) % 0.62/0.86 (define @t19 () (tptp.apart_point_and_line @t1 @t5)) % 0.62/0.86 (define @t20 () (tptp.apart_point_and_line @t1 @t4)) % 0.62/0.86 (define @t21 () (@list @t1 @t5)) % 0.62/0.86 (define @t22 () (forall @t21 (=> @t14 @t10))) % 0.62/0.86 (define @t23 () (tptp.parallel_through_point @t5 @t1)) % 0.62/0.86 (define @t24 () (@var "M" $$unsorted)) % 0.62/0.86 (define @t25 () (@var "L" $$unsorted)) % 0.62/0.86 (define @t26 () (tptp.unorthogonal_lines @t25 @t24)) % 0.62/0.86 (define @t27 () (tptp.convergent_lines @t25 @t24)) % 0.62/0.86 (define @t28 () (@var "N" $$unsorted)) % 0.62/0.86 (define @t29 () (tptp.unorthogonal_lines @t24 @t28)) % 0.62/0.86 (define @t30 () (and (tptp.convergent_lines @t24 @t28) @t29)) % 0.62/0.86 (define @t31 () (tptp.unorthogonal_lines @t25 @t28)) % 0.62/0.86 (define @t32 () (tptp.convergent_lines @t25 @t28)) % 0.62/0.86 (define @t33 () (and @t32 @t31)) % 0.62/0.86 (define @t34 () (or @t33 @t30)) % 0.62/0.86 (define @t35 () (and @t27 @t26)) % 0.62/0.86 (define @t36 () (@list @t25 @t24 @t28)) % 0.62/0.86 (define @t37 () (forall @t36 (=> @t35 @t34))) % 0.62/0.86 (define @t38 () (@var "A" $$unsorted)) % 0.62/0.86 (define @t39 () (tptp.orthogonal_through_point @t25 @t38)) % 0.62/0.86 (define @t40 () (@list @t38 @t25)) % 0.62/0.86 (define @t41 () (or @t32 @t29)) % 0.62/0.86 (define @t42 () (forall @t36 (=> @t26 @t41))) % 0.62/0.86 (define @t43 () (not @t42)) % 0.62/0.86 (define @t44 () (not @t26)) % 0.62/0.86 (define @t45 () (or @t44 @t32 @t29)) % 0.62/0.86 (define @t46 () (forall @t36 @t45)) % 0.62/0.86 (define @t47 () (@quantifiers_skolemize @t46 2)) % 0.62/0.86 (define @t48 () (not @t14)) % 0.62/0.86 (define @t49 () (@quantifiers_skolemize @t46 0)) % 0.62/0.86 (define @t50 () (@quantifiers_skolemize @t46 1)) % 0.62/0.86 (define @t51 () (not @t27)) % 0.62/0.86 (define @t52 () (tptp.unorthogonal_lines @t50 @t47)) % 0.62/0.86 (define @t53 () (tptp.convergent_lines @t49 @t47)) % 0.62/0.86 (define @t54 () (tptp.unorthogonal_lines @t49 @t50)) % 0.62/0.86 (define @t55 () (not @t54)) % 0.62/0.86 (define @t56 () (or @t55 @t53 @t52)) % 0.62/0.86 (define @t57 () (@list true)) % 0.62/0.86 (define @t58 () (@list @t56)) % 0.62/0.86 (define @t59 () (tptp.convergent_lines @t50 @t47)) % 0.62/0.86 (define @t60 () (and @t59 @t52)) % 0.62/0.86 (define @t61 () (not @t60)) % 0.62/0.86 (define @t62 () (and @t53 (tptp.unorthogonal_lines @t49 @t47))) % 0.62/0.86 (define @t63 () (not @t62)) % 0.62/0.86 (define @t64 () (tptp.convergent_lines @t49 @t50)) % 0.62/0.86 (define @t65 () (not @t64)) % 0.62/0.86 (define @t66 () (or @t65 @t55 @t62 @t60)) % 0.62/0.86 (define @t67 () (tptp.convergent_lines @t50 @t50)) % 0.62/0.86 (define @t68 () (tptp.convergent_lines @t50 @t49)) % 0.62/0.86 (define @t69 () (not @t68)) % 0.62/0.86 (define @t70 () (or @t69 @t67 @t64)) % 0.62/0.86 (define @t71 () (or @t59 @t52)) % 0.62/0.86 (define @t72 () (tptp.convergent_lines @t47 @t49)) % 0.62/0.86 (define @t73 () (not @t59)) % 0.62/0.86 (define @t74 () (or @t73 @t68 @t72)) % 0.62/0.86 (define @t75 () (tptp.convergent_lines @t47 @t47)) % 0.62/0.86 (define @t76 () (not @t72)) % 0.62/0.86 (define @t77 () (or @t76 @t75 @t53)) % 0.62/0.86 (define @t78 () (tptp.distinct_lines @t47 @t47)) % 0.62/0.86 (define @t79 () (not @t75)) % 0.62/0.86 (define @t80 () (or @t79 @t78)) % 0.62/0.86 (define @t81 () (@list false false)) % 0.62/0.86 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.62/0.86 (assume @p2 @t3) % 0.62/0.86 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.62/0.86 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.62/0.86 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.62/0.86 (assume @p6 @t15) % 0.62/0.86 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.62/0.86 (assume @p8 (forall @t8 (=> @t14 (=> (or (tptp.apart_point_and_line @t4 @t1) @t16) (tptp.distinct_points @t4 (tptp.intersection_point @t1 @t5)))))) % 0.62/0.86 (assume @p9 (forall (@list @t1 @t5 @t18 @t17) (=> (and @t7 (tptp.distinct_lines @t18 @t17)) (or (tptp.apart_point_and_line @t1 @t18) (tptp.apart_point_and_line @t1 @t17) (tptp.apart_point_and_line @t5 @t18) (tptp.apart_point_and_line @t5 @t17))))) % 0.62/0.86 (assume @p10 (forall @t8 (=> @t19 (or @t6 @t16)))) % 0.62/0.86 (assume @p11 (forall @t8 (=> @t19 (or @t9 @t20)))) % 0.62/0.86 (assume @p12 @t22) % 0.62/0.86 (assume @p13 (forall @t21 (not (tptp.convergent_lines @t23 @t5)))) % 0.62/0.86 (assume @p14 (forall @t21 (not (tptp.apart_point_and_line @t1 @t23)))) % 0.62/0.86 (assume @p15 (forall @t8 (=> @t9 (or @t19 @t20 @t11)))) % 0.62/0.86 (assume @p16 (forall (@list @t25 @t24) (or @t27 @t26))) % 0.62/0.86 (assume @p17 @t37) % 0.62/0.86 (assume @p18 (forall @t40 (not (tptp.unorthogonal_lines @t39 @t25)))) % 0.62/0.86 (assume @p19 (forall @t40 (not (tptp.apart_point_and_line @t38 @t39)))) % 0.62/0.86 (assume @p20 (forall (@list @t38 @t25 @t24 @t28) (=> (tptp.distinct_lines @t25 @t24) (or (tptp.apart_point_and_line @t38 @t25) (tptp.apart_point_and_line @t38 @t24) @t31 @t29)))) % 0.62/0.86 (assume @p21 @t43) % 0.62/0.86 (assume @p22 true) % 0.62/0.86 (step @p23 :rule bool-impl-elim :args (@t14 @t10)) % 0.62/0.86 (step @p24 :rule cong :premises (@p23) :args (@t22)) % 0.62/0.86 (step @p25 :rule eq_resolve :premises (@p12 @p24)) % 0.62/0.86 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t47 @t47))) % 0.62/0.86 (step @p27 :rule aci_norm :args ((= (or @t48 @t13) (or @t48 @t12 @t11)))) % 0.62/0.86 (step @p28 :rule bool-impl-elim :args (@t14 @t13)) % 0.62/0.86 (step @p29 :rule trans :premises (@p28 @p27)) % 0.62/0.86 (step @p30 :rule cong :premises (@p29) :args (@t15)) % 0.62/0.86 (step @p31 :rule eq_resolve :premises (@p6 @p30)) % 0.62/0.86 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t47 @t49 @t47))) % 0.62/0.86 (step @p33 :rule instantiate :premises (@p31) :args ((@list @t50 @t47 @t49))) % 0.62/0.86 (step @p34 :rule instantiate :premises (@p31) :args ((@list @t50 @t49 @t50))) % 0.62/0.86 (step @p35 :rule aci_norm :args ((= (or (or @t51 @t44) @t34) (or @t51 @t44 @t33 @t30)))) % 0.62/0.86 (step @p36 :rule refl :args (@t34)) % 0.62/0.86 (step @p37 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.62/0.86 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t35) @t34))) % 0.62/0.86 (step @p39 :rule trans :premises (@p38 @p35)) % 0.62/0.86 (step @p40 :rule bool-impl-elim :args (@t35 @t34)) % 0.62/0.86 (step @p41 :rule trans :premises (@p40 @p39)) % 0.62/0.86 (step @p42 :rule cong :premises (@p41) :args (@t37)) % 0.62/0.86 (step @p43 :rule eq_resolve :premises (@p17 @p42)) % 0.62/0.86 (step @p44 :rule instantiate :premises (@p43) :args ((@list @t49 @t50 @t47))) % 0.62/0.86 (step @p45 :rule aci_norm :args ((= (or @t44 @t41) @t45))) % 0.62/0.86 (step @p46 :rule bool-impl-elim :args (@t26 @t41)) % 0.62/0.86 (step @p47 :rule trans :premises (@p46 @p45)) % 0.62/0.86 (step @p48 :rule cong :premises (@p47) :args (@t42)) % 0.62/0.86 (step @p49 :rule cong :premises (@p48) :args (@t43)) % 0.62/0.86 (step @p50 :rule eq_resolve :premises (@p21 @p49)) % 0.62/0.86 (step @p51 :rule skolemize :premises (@p50)) % 0.62/0.86 (step @p52 :rule cnf_or_neg :args (@t56 2)) % 0.62/0.86 (step @p53 :rule chain_m_resolution :premises (@p52 @p51) :args ((not @t52) @t57 @t58)) % 0.62/0.86 (step @p54 :rule cnf_and_pos :args (@t60 1)) % 0.62/0.86 (step @p55 :rule reordering :premises (@p54) :args ((or @t52 @t61))) % 0.62/0.86 (step @p56 :rule chain_m_resolution :premises (@p55 @p53) :args (@t61 @t57 (@list @t52))) % 0.62/0.86 (step @p57 :rule cnf_or_neg :args (@t56 1)) % 0.62/0.86 (step @p58 :rule chain_m_resolution :premises (@p57 @p51) :args ((not @t53) @t57 @t58)) % 0.62/0.86 (step @p59 :rule cnf_and_pos :args (@t62 0)) % 0.62/0.86 (step @p60 :rule reordering :premises (@p59) :args ((or @t53 @t63))) % 0.62/0.86 (step @p61 :rule chain_m_resolution :premises (@p60 @p58) :args (@t63 @t57 (@list @t53))) % 0.62/0.86 (step @p62 :rule bool-double-not-elim :args (@t54)) % 0.62/0.86 (step @p63 :rule refl :args (@t56)) % 0.62/0.86 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t56 (not @t55)))) % 0.62/0.86 (step @p65 :rule cnf_or_neg :args (@t56 0)) % 0.62/0.86 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.62/0.86 (step @p67 :rule reordering :premises (@p66) :args ((or @t54 @t56))) % 0.62/0.86 (step @p68 :rule chain_m_resolution :premises (@p67 @p51) :args (@t54 @t57 @t58)) % 0.62/0.86 (step @p69 :rule cnf_or_pos :args (@t66)) % 0.62/0.86 (step @p70 :rule reordering :premises (@p69) :args ((or @t55 @t62 @t60 @t65 (not @t66)))) % 0.62/0.86 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p61 @p56 @p44) :args (@t65 (@list false true true false) (@list @t54 @t62 @t60 @t66))) % 0.62/0.86 (step @p72 :rule instantiate :premises (@p3) :args ((@list @t50))) % 0.62/0.86 (step @p73 :rule cnf_or_pos :args (@t70)) % 0.62/0.86 (step @p74 :rule reordering :premises (@p73) :args ((or @t67 @t64 @t69 (not @t70)))) % 0.62/0.86 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71 @p34) :args (@t69 (@list true true false) (@list @t67 @t64 @t70))) % 0.62/0.86 (step @p76 :rule instantiate :premises (@p16) :args ((@list @t50 @t47))) % 0.62/0.86 (step @p77 :rule cnf_or_pos :args (@t71)) % 0.62/0.86 (step @p78 :rule reordering :premises (@p77) :args ((or @t52 @t59 (not @t71)))) % 0.62/0.86 (step @p79 :rule chain_m_resolution :premises (@p78 @p53 @p76) :args (@t59 (@list true false) (@list @t52 @t71))) % 0.62/0.86 (step @p80 :rule cnf_or_pos :args (@t74)) % 0.62/0.86 (step @p81 :rule reordering :premises (@p80) :args ((or @t73 @t68 @t72 (not @t74)))) % 0.62/0.86 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p75 @p33) :args (@t72 (@list false true false) (@list @t59 @t68 @t74))) % 0.62/0.86 (step @p83 :rule cnf_or_pos :args (@t77)) % 0.62/0.86 (step @p84 :rule reordering :premises (@p83) :args ((or @t53 @t76 @t75 (not @t77)))) % 0.62/0.86 (step @p85 :rule chain_m_resolution :premises (@p84 @p58 @p82 @p32) :args (@t75 (@list true false false) (@list @t53 @t72 @t77))) % 0.62/0.86 (step @p86 :rule cnf_or_pos :args (@t80)) % 0.62/0.86 (step @p87 :rule reordering :premises (@p86) :args ((or @t78 @t79 (not @t80)))) % 0.62/0.86 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p26) :args (@t78 @t81 (@list @t75 @t80))) % 0.62/0.86 (assume-push @p95 @t3) % 0.62/0.86 (step @p90 :rule instantiate :premises (@p2) :args ((@list @t47))) % 0.62/0.86 (step-pop @p96 :rule scope :premises (@p90)) % 0.62/0.86 (step @p91 :rule process_scope :premises (@p96) :args ((not @t78))) % 0.62/0.86 (step @p93 :rule implies_elim :premises (@p91)) % 0.62/0.86 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p2) :args (false @t81 (@list @t78 @t3))) % 0.62/0.86 ) % 0.62/0.86 % SZS output end Proof % 0.62/0.86 % cvc5 exiting %------------------------------------------------------------------------------