%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO212+1 : 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 : n005.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 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO212+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n005.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Mon Jun 1 23:40:18 EDT 2026 % 0.19/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.59 (define @t2 () (@list @t1)) % 0.41/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.41/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.41/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.41/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.41/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.41/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.41/0.59 (define @t9 () (tptp.convergent_lines @t4 @t3)) % 0.41/0.59 (define @t10 () (tptp.convergent_lines @t1 @t3)) % 0.41/0.59 (define @t11 () (or @t10 @t9)) % 0.41/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.41/0.59 (define @t13 () (forall @t7 (=> @t12 @t11))) % 0.41/0.59 (define @t14 () (tptp.line_connecting @t1 @t4)) % 0.41/0.59 (define @t15 () (@list @t1 @t4)) % 0.41/0.59 (define @t16 () (tptp.intersection_point @t1 @t4)) % 0.41/0.59 (define @t17 () (@var "V" $$unsorted)) % 0.41/0.59 (define @t18 () (@var "U" $$unsorted)) % 0.41/0.59 (define @t19 () (tptp.apart_point_and_line @t1 @t4)) % 0.41/0.59 (define @t20 () (tptp.apart_point_and_line @t1 @t3)) % 0.41/0.59 (define @t21 () (tptp.parallel_through_point @t4 @t1)) % 0.41/0.59 (define @t22 () (@var "M" $$unsorted)) % 0.41/0.59 (define @t23 () (@var "L" $$unsorted)) % 0.41/0.59 (define @t24 () (tptp.unorthogonal_lines @t23 @t22)) % 0.41/0.59 (define @t25 () (tptp.convergent_lines @t23 @t22)) % 0.41/0.59 (define @t26 () (@var "N" $$unsorted)) % 0.41/0.59 (define @t27 () (tptp.unorthogonal_lines @t22 @t26)) % 0.41/0.59 (define @t28 () (and (tptp.convergent_lines @t22 @t26) @t27)) % 0.41/0.59 (define @t29 () (tptp.unorthogonal_lines @t23 @t26)) % 0.41/0.59 (define @t30 () (tptp.convergent_lines @t23 @t26)) % 0.41/0.59 (define @t31 () (and @t30 @t29)) % 0.41/0.59 (define @t32 () (or @t31 @t28)) % 0.41/0.59 (define @t33 () (and @t25 @t24)) % 0.41/0.59 (define @t34 () (@list @t23 @t22 @t26)) % 0.41/0.59 (define @t35 () (forall @t34 (=> @t33 @t32))) % 0.41/0.59 (define @t36 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t37 () (tptp.orthogonal_through_point @t23 @t36)) % 0.41/0.59 (define @t38 () (@list @t36 @t23)) % 0.41/0.59 (define @t39 () (or @t30 @t27)) % 0.41/0.59 (define @t40 () (forall @t34 (=> @t24 @t39))) % 0.41/0.59 (define @t41 () (not @t40)) % 0.41/0.59 (define @t42 () (not @t12)) % 0.41/0.59 (define @t43 () (or @t42 @t10 @t9)) % 0.41/0.59 (define @t44 () (not @t24)) % 0.41/0.59 (define @t45 () (or @t44 @t30 @t27)) % 0.41/0.59 (define @t46 () (forall @t34 @t45)) % 0.41/0.59 (define @t47 () (@quantifiers_skolemize @t46 2)) % 0.41/0.59 (define @t48 () (@quantifiers_skolemize @t46 0)) % 0.41/0.59 (define @t49 () (@quantifiers_skolemize @t46 1)) % 0.41/0.59 (define @t50 () (tptp.unorthogonal_lines @t49 @t47)) % 0.41/0.59 (define @t51 () (tptp.convergent_lines @t48 @t47)) % 0.41/0.59 (define @t52 () (tptp.unorthogonal_lines @t48 @t49)) % 0.41/0.59 (define @t53 () (not @t52)) % 0.41/0.59 (define @t54 () (or @t53 @t51 @t50)) % 0.41/0.59 (define @t55 () (@list true)) % 0.41/0.59 (define @t56 () (@list @t54)) % 0.41/0.59 (define @t57 () (tptp.convergent_lines @t47 @t47)) % 0.41/0.59 (define @t58 () (tptp.convergent_lines @t47 @t48)) % 0.41/0.59 (define @t59 () (not @t58)) % 0.41/0.59 (define @t60 () (or @t59 @t57 @t51)) % 0.41/0.59 (define @t61 () (@list true true false)) % 0.41/0.59 (define @t62 () (not @t25)) % 0.41/0.59 (define @t63 () (tptp.convergent_lines @t49 @t47)) % 0.41/0.59 (define @t64 () (and @t63 @t50)) % 0.41/0.59 (define @t65 () (not @t64)) % 0.41/0.59 (define @t66 () (and @t51 (tptp.unorthogonal_lines @t48 @t47))) % 0.41/0.59 (define @t67 () (not @t66)) % 0.41/0.59 (define @t68 () (tptp.convergent_lines @t48 @t49)) % 0.41/0.59 (define @t69 () (not @t68)) % 0.41/0.59 (define @t70 () (or @t69 @t53 @t66 @t64)) % 0.41/0.59 (define @t71 () (tptp.convergent_lines @t49 @t49)) % 0.41/0.59 (define @t72 () (tptp.convergent_lines @t49 @t48)) % 0.41/0.59 (define @t73 () (not @t72)) % 0.41/0.59 (define @t74 () (or @t73 @t71 @t68)) % 0.41/0.59 (define @t75 () (or @t63 @t50)) % 0.41/0.59 (define @t76 () (@list true false)) % 0.41/0.59 (define @t77 () (not @t63)) % 0.41/0.59 (define @t78 () (or @t77 @t72 @t58)) % 0.41/0.59 (define @t79 () (not @t78)) % 0.41/0.59 (define @t80 () (forall @t7 @t43)) % 0.41/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.41/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.41/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.41/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.41/0.59 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.41/0.59 (assume @p6 @t13) % 0.41/0.59 (assume @p7 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t1 @t14))))) % 0.41/0.59 (assume @p8 (forall @t15 (=> @t6 (not (tptp.apart_point_and_line @t4 @t14))))) % 0.41/0.59 (assume @p9 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t1))))) % 0.41/0.59 (assume @p10 (forall @t15 (=> @t12 (not (tptp.apart_point_and_line @t16 @t4))))) % 0.41/0.59 (assume @p11 (forall (@list @t1 @t4 @t18 @t17) (=> (and @t6 (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 @t4 @t18) (tptp.apart_point_and_line @t4 @t17))))) % 0.41/0.59 (assume @p12 (forall @t7 (=> @t19 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.41/0.59 (assume @p13 (forall @t7 (=> @t19 (or @t8 @t20)))) % 0.41/0.59 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t10)))) % 0.41/0.59 (assume @p15 (forall @t15 (not (tptp.convergent_lines @t21 @t4)))) % 0.41/0.59 (assume @p16 (forall @t15 (not (tptp.apart_point_and_line @t1 @t21)))) % 0.41/0.59 (assume @p17 (forall @t7 (=> @t8 (or @t19 @t20 @t9)))) % 0.41/0.59 (assume @p18 (forall (@list @t23 @t22) (or @t25 @t24))) % 0.41/0.59 (assume @p19 @t35) % 0.41/0.59 (assume @p20 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t23)))) % 0.41/0.59 (assume @p21 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37)))) % 0.41/0.59 (assume @p22 (forall (@list @t36 @t23 @t22 @t26) (=> (tptp.distinct_lines @t23 @t22) (or (tptp.apart_point_and_line @t36 @t23) (tptp.apart_point_and_line @t36 @t22) @t29 @t27)))) % 0.41/0.59 (assume @p23 @t41) % 0.41/0.59 (assume @p24 true) % 0.41/0.59 (step @p25 :rule aci_norm :args ((= (or @t42 @t11) @t43))) % 0.41/0.59 (step @p26 :rule bool-impl-elim :args (@t12 @t11)) % 0.41/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.41/0.59 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 0.41/0.59 (step @p29 :rule eq_resolve :premises (@p6 @p28)) % 0.41/0.59 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t47 @t48 @t47))) % 0.41/0.59 (step @p31 :rule instantiate :premises (@p3) :args ((@list @t47))) % 0.41/0.59 (step @p32 :rule aci_norm :args ((= (or @t44 @t39) @t45))) % 0.41/0.59 (step @p33 :rule bool-impl-elim :args (@t24 @t39)) % 0.41/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.41/0.59 (step @p35 :rule cong :premises (@p34) :args (@t40)) % 0.41/0.59 (step @p36 :rule cong :premises (@p35) :args (@t41)) % 0.41/0.59 (step @p37 :rule eq_resolve :premises (@p23 @p36)) % 0.41/0.59 (step @p38 :rule skolemize :premises (@p37)) % 0.41/0.59 (step @p39 :rule cnf_or_neg :args (@t54 1)) % 0.41/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p38) :args ((not @t51) @t55 @t56)) % 0.41/0.59 (step @p41 :rule cnf_or_pos :args (@t60)) % 0.41/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t51 @t57 @t59 (not @t60)))) % 0.41/0.59 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p31 @p30) :args (@t59 @t61 (@list @t51 @t57 @t60))) % 0.41/0.59 (step @p44 :rule instantiate :premises (@p29) :args ((@list @t49 @t48 @t49))) % 0.41/0.59 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t49))) % 0.41/0.59 (step @p46 :rule aci_norm :args ((= (or (or @t62 @t44) @t32) (or @t62 @t44 @t31 @t28)))) % 0.41/0.59 (step @p47 :rule refl :args (@t32)) % 0.41/0.59 (step @p48 :rule bool-and-de-morgan :args (@t25 @t24 true)) % 0.41/0.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t33) @t32))) % 0.41/0.59 (step @p50 :rule trans :premises (@p49 @p46)) % 0.41/0.59 (step @p51 :rule bool-impl-elim :args (@t33 @t32)) % 0.41/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.41/0.59 (step @p53 :rule cong :premises (@p52) :args (@t35)) % 0.41/0.59 (step @p54 :rule eq_resolve :premises (@p19 @p53)) % 0.41/0.59 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t48 @t49 @t47))) % 0.41/0.59 (step @p56 :rule cnf_or_neg :args (@t54 2)) % 0.41/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p38) :args ((not @t50) @t55 @t56)) % 0.41/0.59 (step @p58 :rule cnf_and_pos :args (@t64 1)) % 0.41/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t50 @t65))) % 0.41/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p57) :args (@t65 @t55 (@list @t50))) % 0.41/0.59 (step @p61 :rule cnf_and_pos :args (@t66 0)) % 0.41/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t51 @t67))) % 0.41/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p40) :args (@t67 @t55 (@list @t51))) % 0.41/0.59 (step @p64 :rule bool-double-not-elim :args (@t52)) % 0.41/0.59 (step @p65 :rule refl :args (@t54)) % 0.41/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t54 (not @t53)))) % 0.41/0.59 (step @p67 :rule cnf_or_neg :args (@t54 0)) % 0.41/0.59 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.41/0.59 (step @p69 :rule reordering :premises (@p68) :args ((or @t52 @t54))) % 0.41/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p38) :args (@t52 @t55 @t56)) % 0.41/0.59 (step @p71 :rule cnf_or_pos :args (@t70)) % 0.41/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t53 @t69 @t66 @t64 (not @t70)))) % 0.41/0.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p63 @p60 @p55) :args (@t69 (@list false true true false) (@list @t52 @t66 @t64 @t70))) % 0.41/0.59 (step @p74 :rule cnf_or_pos :args (@t74)) % 0.41/0.59 (step @p75 :rule reordering :premises (@p74) :args ((or @t68 @t73 @t71 (not @t74)))) % 0.41/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p45 @p44) :args (@t73 @t61 (@list @t68 @t71 @t74))) % 0.41/0.59 (step @p77 :rule instantiate :premises (@p18) :args ((@list @t49 @t47))) % 0.41/0.59 (step @p78 :rule cnf_or_pos :args (@t75)) % 0.41/0.59 (step @p79 :rule reordering :premises (@p78) :args ((or @t50 @t63 (not @t75)))) % 0.41/0.59 (step @p80 :rule chain_m_resolution :premises (@p79 @p57 @p77) :args (@t63 @t76 (@list @t50 @t75))) % 0.41/0.59 (step @p81 :rule cnf_or_pos :args (@t78)) % 0.41/0.59 (step @p82 :rule reordering :premises (@p81) :args ((or @t77 @t72 @t58 @t79))) % 0.41/0.59 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p76 @p43) :args (@t79 (@list false true true) (@list @t63 @t72 @t58))) % 0.41/0.59 (assume-push @p90 @t80) % 0.41/0.59 (step @p85 :rule instantiate :premises (@p29) :args ((@list @t49 @t47 @t48))) % 0.41/0.59 (step-pop @p91 :rule scope :premises (@p85)) % 0.41/0.59 (step @p86 :rule process_scope :premises (@p91) :args (@t78)) % 0.41/0.59 (step @p88 :rule implies_elim :premises (@p86)) % 0.41/0.59 (step @p89 false :rule chain_m_resolution :premises (@p88 @p83 @p29) :args (false @t76 (@list @t78 @t80))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------