%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO215+1 : 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 : n029.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 08:16:46 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : GEO215+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:40:32 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-sort $$unsorted 0) % 0.40/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.40/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.40/0.59 (define @t2 () (@list @t1)) % 0.40/0.59 (define @t3 () (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.40/0.59 (define @t4 () (@var "Z" $$unsorted)) % 0.40/0.59 (define @t5 () (@var "Y" $$unsorted)) % 0.40/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.40/0.59 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.40/0.59 (define @t8 () (@list @t1 @t5 @t4)) % 0.40/0.59 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.40/0.59 (define @t10 () (tptp.convergent_lines @t5 @t4)) % 0.40/0.59 (define @t11 () (tptp.convergent_lines @t1 @t4)) % 0.40/0.59 (define @t12 () (tptp.convergent_lines @t1 @t5)) % 0.40/0.59 (define @t13 () (tptp.line_connecting @t1 @t5)) % 0.40/0.59 (define @t14 () (@list @t1 @t5)) % 0.40/0.59 (define @t15 () (tptp.intersection_point @t1 @t5)) % 0.40/0.59 (define @t16 () (not (tptp.apart_point_and_line @t15 @t1))) % 0.40/0.59 (define @t17 () (forall @t14 (=> @t12 @t16))) % 0.40/0.59 (define @t18 () (not (tptp.apart_point_and_line @t15 @t5))) % 0.40/0.59 (define @t19 () (forall @t14 (=> @t12 @t18))) % 0.40/0.59 (define @t20 () (@var "V" $$unsorted)) % 0.40/0.59 (define @t21 () (@var "U" $$unsorted)) % 0.40/0.59 (define @t22 () (tptp.apart_point_and_line @t1 @t5)) % 0.40/0.59 (define @t23 () (tptp.apart_point_and_line @t1 @t4)) % 0.40/0.59 (define @t24 () (or @t9 @t11)) % 0.40/0.59 (define @t25 () (forall @t8 (=> @t12 @t24))) % 0.40/0.59 (define @t26 () (tptp.parallel_through_point @t5 @t1)) % 0.40/0.59 (define @t27 () (@var "M" $$unsorted)) % 0.40/0.59 (define @t28 () (@var "L" $$unsorted)) % 0.40/0.59 (define @t29 () (tptp.unorthogonal_lines @t28 @t27)) % 0.40/0.59 (define @t30 () (tptp.convergent_lines @t28 @t27)) % 0.40/0.59 (define @t31 () (@var "N" $$unsorted)) % 0.40/0.59 (define @t32 () (tptp.unorthogonal_lines @t27 @t31)) % 0.40/0.59 (define @t33 () (tptp.unorthogonal_lines @t28 @t31)) % 0.40/0.59 (define @t34 () (@list @t28 @t27 @t31)) % 0.40/0.59 (define @t35 () (@var "A" $$unsorted)) % 0.40/0.59 (define @t36 () (tptp.orthogonal_through_point @t28 @t35)) % 0.40/0.59 (define @t37 () (@list @t35 @t28)) % 0.40/0.59 (define @t38 () (tptp.apart_point_and_line @t35 @t27)) % 0.40/0.59 (define @t39 () (tptp.apart_point_and_line @t35 @t28)) % 0.40/0.59 (define @t40 () (or @t39 @t38 @t33 @t32)) % 0.40/0.59 (define @t41 () (tptp.distinct_lines @t28 @t27)) % 0.40/0.59 (define @t42 () (forall (@list @t35 @t28 @t27 @t31) (=> @t41 @t40))) % 0.40/0.59 (define @t43 () (or @t33 @t32)) % 0.40/0.59 (define @t44 () (forall @t34 (=> @t30 @t43))) % 0.40/0.59 (define @t45 () (not @t44)) % 0.40/0.59 (define @t46 () (not @t12)) % 0.40/0.59 (define @t47 () (not @t30)) % 0.40/0.59 (define @t48 () (or @t47 @t33 @t32)) % 0.40/0.59 (define @t49 () (forall @t34 @t48)) % 0.40/0.59 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.40/0.59 (define @t51 () (@quantifiers_skolemize @t49 1)) % 0.40/0.59 (define @t52 () (not @t41)) % 0.40/0.59 (define @t53 () (@quantifiers_skolemize @t49 2)) % 0.40/0.59 (define @t54 () (tptp.intersection_point @t50 @t51)) % 0.40/0.59 (define @t55 () (@list @t50 @t51)) % 0.40/0.59 (define @t56 () (tptp.convergent_lines @t50 @t51)) % 0.40/0.59 (define @t57 () (tptp.unorthogonal_lines @t51 @t53)) % 0.40/0.59 (define @t58 () (tptp.unorthogonal_lines @t50 @t53)) % 0.40/0.59 (define @t59 () (not @t56)) % 0.40/0.59 (define @t60 () (or @t59 @t58 @t57)) % 0.40/0.59 (define @t61 () (@list true)) % 0.40/0.59 (define @t62 () (@list @t60)) % 0.40/0.59 (define @t63 () (tptp.apart_point_and_line @t54 @t51)) % 0.40/0.59 (define @t64 () (not @t63)) % 0.40/0.59 (define @t65 () (or @t59 @t64)) % 0.40/0.59 (define @t66 () (@list false false)) % 0.40/0.59 (define @t67 () (tptp.apart_point_and_line @t54 @t50)) % 0.40/0.59 (define @t68 () (not @t67)) % 0.40/0.59 (define @t69 () (or @t59 @t68)) % 0.40/0.59 (define @t70 () (tptp.distinct_lines @t51 @t50)) % 0.40/0.59 (define @t71 () (not @t70)) % 0.40/0.59 (define @t72 () (or @t71 @t63 @t67 @t57 @t58)) % 0.40/0.59 (define @t73 () (tptp.convergent_lines @t50 @t50)) % 0.40/0.59 (define @t74 () (or @t59 @t70 @t73)) % 0.40/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.40/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.40/0.59 (assume @p3 @t3) % 0.40/0.59 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.40/0.59 (assume @p5 (forall @t8 (=> (tptp.distinct_lines @t1 @t5) (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.40/0.59 (assume @p6 (forall @t8 (=> @t12 (or @t11 @t10)))) % 0.40/0.59 (assume @p7 (forall @t14 (=> @t7 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.40/0.59 (assume @p8 (forall @t14 (=> @t7 (not (tptp.apart_point_and_line @t5 @t13))))) % 0.40/0.59 (assume @p9 @t17) % 0.40/0.59 (assume @p10 @t19) % 0.40/0.59 (assume @p11 (forall (@list @t1 @t5 @t21 @t20) (=> (and @t7 (tptp.distinct_lines @t21 @t20)) (or (tptp.apart_point_and_line @t1 @t21) (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t5 @t21) (tptp.apart_point_and_line @t5 @t20))))) % 0.40/0.59 (assume @p12 (forall @t8 (=> @t22 (or @t6 (tptp.apart_point_and_line @t4 @t5))))) % 0.40/0.59 (assume @p13 (forall @t8 (=> @t22 (or @t9 @t23)))) % 0.40/0.59 (assume @p14 @t25) % 0.40/0.59 (assume @p15 (forall @t14 (not (tptp.convergent_lines @t26 @t5)))) % 0.40/0.59 (assume @p16 (forall @t14 (not (tptp.apart_point_and_line @t1 @t26)))) % 0.40/0.59 (assume @p17 (forall @t8 (=> @t9 (or @t22 @t23 @t10)))) % 0.40/0.59 (assume @p18 (forall (@list @t28 @t27) (or @t30 @t29))) % 0.40/0.59 (assume @p19 (forall @t34 (=> (and @t30 @t29) (or (and (tptp.convergent_lines @t28 @t31) @t33) (and (tptp.convergent_lines @t27 @t31) @t32))))) % 0.40/0.59 (assume @p20 (forall @t37 (not (tptp.unorthogonal_lines @t36 @t28)))) % 0.40/0.59 (assume @p21 (forall @t37 (not (tptp.apart_point_and_line @t35 @t36)))) % 0.40/0.59 (assume @p22 @t42) % 0.40/0.59 (assume @p23 @t45) % 0.40/0.59 (assume @p24 true) % 0.40/0.59 (step @p25 :rule aci_norm :args ((= (or @t46 @t24) (or @t46 @t9 @t11)))) % 0.40/0.59 (step @p26 :rule bool-impl-elim :args (@t12 @t24)) % 0.40/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.40/0.59 (step @p28 :rule cong :premises (@p27) :args (@t25)) % 0.40/0.59 (step @p29 :rule eq_resolve :premises (@p14 @p28)) % 0.40/0.59 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t50 @t51 @t50))) % 0.40/0.59 (step @p31 :rule aci_norm :args ((= (or @t52 @t40) (or @t52 @t39 @t38 @t33 @t32)))) % 0.40/0.59 (step @p32 :rule bool-impl-elim :args (@t41 @t40)) % 0.40/0.59 (step @p33 :rule trans :premises (@p32 @p31)) % 0.40/0.59 (step @p34 :rule cong :premises (@p33) :args (@t42)) % 0.40/0.59 (step @p35 :rule eq_resolve :premises (@p22 @p34)) % 0.40/0.59 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t54 @t51 @t50 @t53))) % 0.40/0.59 (step @p37 :rule bool-impl-elim :args (@t12 @t18)) % 0.40/0.59 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.40/0.59 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 0.40/0.59 (step @p40 :rule instantiate :premises (@p39) :args (@t55)) % 0.40/0.59 (step @p41 :rule aci_norm :args ((= (or @t47 @t43) @t48))) % 0.40/0.59 (step @p42 :rule bool-impl-elim :args (@t30 @t43)) % 0.40/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.40/0.59 (step @p44 :rule cong :premises (@p43) :args (@t44)) % 0.40/0.59 (step @p45 :rule cong :premises (@p44) :args (@t45)) % 0.40/0.59 (step @p46 :rule eq_resolve :premises (@p23 @p45)) % 0.40/0.59 (step @p47 :rule skolemize :premises (@p46)) % 0.40/0.59 (step @p48 :rule bool-double-not-elim :args (@t56)) % 0.40/0.59 (step @p49 :rule refl :args (@t60)) % 0.40/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t60 (not @t59)))) % 0.40/0.59 (step @p51 :rule cnf_or_neg :args (@t60 0)) % 0.40/0.59 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.40/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or @t56 @t60))) % 0.40/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p47) :args (@t56 @t61 @t62)) % 0.40/0.59 (step @p55 :rule cnf_or_pos :args (@t65)) % 0.40/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t59 @t64 (not @t65)))) % 0.40/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p40) :args (@t64 @t66 (@list @t56 @t65))) % 0.40/0.59 (step @p58 :rule bool-impl-elim :args (@t12 @t16)) % 0.40/0.59 (step @p59 :rule cong :premises (@p58) :args (@t17)) % 0.40/0.59 (step @p60 :rule eq_resolve :premises (@p9 @p59)) % 0.40/0.59 (step @p61 :rule instantiate :premises (@p60) :args (@t55)) % 0.40/0.59 (step @p62 :rule cnf_or_pos :args (@t69)) % 0.40/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or @t59 @t68 (not @t69)))) % 0.40/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p54 @p61) :args (@t68 @t66 (@list @t56 @t69))) % 0.40/0.59 (step @p65 :rule cnf_or_neg :args (@t60 2)) % 0.40/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p47) :args ((not @t57) @t61 @t62)) % 0.40/0.59 (step @p67 :rule cnf_or_neg :args (@t60 1)) % 0.40/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p47) :args ((not @t58) @t61 @t62)) % 0.40/0.59 (step @p69 :rule cnf_or_pos :args (@t72)) % 0.40/0.59 (step @p70 :rule reordering :premises (@p69) :args ((or @t58 @t57 @t67 @t63 @t71 (not @t72)))) % 0.40/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p66 @p64 @p57 @p36) :args (@t71 (@list true true true true false) (@list @t58 @t57 @t67 @t63 @t72))) % 0.40/0.59 (step @p72 :rule cnf_or_pos :args (@t74)) % 0.40/0.59 (step @p73 :rule reordering :premises (@p72) :args ((or @t59 @t73 @t70 (not @t74)))) % 0.40/0.59 (step @p74 :rule chain_m_resolution :premises (@p73 @p54 @p71 @p30) :args (@t73 (@list false true false) (@list @t56 @t70 @t74))) % 0.40/0.59 (assume-push @p81 @t3) % 0.40/0.59 (step @p76 :rule instantiate :premises (@p3) :args ((@list @t50))) % 0.40/0.59 (step-pop @p82 :rule scope :premises (@p76)) % 0.40/0.59 (step @p77 :rule process_scope :premises (@p82) :args ((not @t73))) % 0.40/0.59 (step @p79 :rule implies_elim :premises (@p77)) % 0.40/0.59 (step @p80 false :rule chain_m_resolution :premises (@p79 @p74 @p3) :args (false @t66 (@list @t73 @t3))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------