%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO208+3 : TPTP v9.2.1. Released v4.0.0. % 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 08:16:44 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO208+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 23:40:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.line (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.point (-> $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t2 () (@list @t1)) % 0.39/0.57 (define @t3 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.39/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.39/0.57 (define @t7 () (@list @t1 @t4 @t3)) % 0.39/0.57 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.39/0.57 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.39/0.57 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.39/0.57 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.39/0.57 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.39/0.57 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.39/0.57 (define @t14 () (@list @t1 @t4)) % 0.39/0.57 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.39/0.57 (define @t16 () (@var "V" $$unsorted)) % 0.39/0.57 (define @t17 () (@var "U" $$unsorted)) % 0.39/0.57 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.39/0.57 (define @t19 () (tptp.apart_point_and_line @t1 @t3)) % 0.39/0.57 (define @t20 () (forall @t14 (=> @t9 @t12))) % 0.39/0.57 (define @t21 () (tptp.parallel_through_point @t4 @t1)) % 0.39/0.57 (define @t22 () (@var "M" $$unsorted)) % 0.39/0.57 (define @t23 () (@var "L" $$unsorted)) % 0.39/0.57 (define @t24 () (tptp.unorthogonal_lines @t23 @t22)) % 0.39/0.57 (define @t25 () (tptp.convergent_lines @t23 @t22)) % 0.39/0.57 (define @t26 () (@list @t23 @t22)) % 0.39/0.57 (define @t27 () (@var "N" $$unsorted)) % 0.39/0.57 (define @t28 () (tptp.unorthogonal_lines @t22 @t27)) % 0.39/0.57 (define @t29 () (tptp.convergent_lines @t22 @t27)) % 0.39/0.57 (define @t30 () (tptp.unorthogonal_lines @t23 @t27)) % 0.39/0.57 (define @t31 () (tptp.convergent_lines @t23 @t27)) % 0.39/0.57 (define @t32 () (@list @t23 @t22 @t27)) % 0.39/0.57 (define @t33 () (@var "A" $$unsorted)) % 0.39/0.57 (define @t34 () (tptp.orthogonal_through_point @t23 @t33)) % 0.39/0.57 (define @t35 () (@list @t33 @t23)) % 0.39/0.57 (define @t36 () (not @t24)) % 0.39/0.57 (define @t37 () (not @t25)) % 0.39/0.57 (define @t38 () (not @t29)) % 0.39/0.57 (define @t39 () (not @t30)) % 0.39/0.57 (define @t40 () (@var "B" $$unsorted)) % 0.39/0.57 (define @t41 () (tptp.point @t33)) % 0.39/0.57 (define @t42 () (tptp.line @t23)) % 0.39/0.57 (define @t43 () (and @t42 @t41)) % 0.39/0.57 (define @t44 () (@list @t23 @t33)) % 0.39/0.57 (define @t45 () (not @t9)) % 0.39/0.57 (define @t46 () (tptp.incident_point_and_line @t1 @t4)) % 0.39/0.57 (define @t47 () (tptp.equal_lines @t4 @t3)) % 0.39/0.57 (define @t48 () (tptp.parallel_lines @t4 @t3)) % 0.39/0.57 (define @t49 () (tptp.incident_point_and_line @t1 @t3)) % 0.39/0.57 (define @t50 () (and @t46 @t49 @t48)) % 0.39/0.57 (define @t51 () (forall @t7 (=> @t50 @t47))) % 0.39/0.57 (define @t52 () (not @t51)) % 0.39/0.57 (define @t53 () (not @t48)) % 0.39/0.57 (define @t54 () (not @t49)) % 0.39/0.57 (define @t55 () (not @t46)) % 0.39/0.57 (define @t56 () (or @t55 @t54 @t53 @t47)) % 0.39/0.57 (define @t57 () (forall @t7 @t56)) % 0.39/0.57 (define @t58 () (@quantifiers_skolemize @t57 2)) % 0.39/0.57 (define @t59 () (@quantifiers_skolemize @t57 1)) % 0.39/0.57 (define @t60 () (@list @t59 @t58)) % 0.39/0.57 (define @t61 () (or @t55 @t54 @t53)) % 0.39/0.57 (define @t62 () (tptp.parallel_lines @t59 @t58)) % 0.39/0.57 (define @t63 () (tptp.equal_lines @t59 @t58)) % 0.39/0.57 (define @t64 () (not @t62)) % 0.39/0.57 (define @t65 () (@quantifiers_skolemize @t57 0)) % 0.39/0.57 (define @t66 () (or (not (tptp.incident_point_and_line @t65 @t59)) (not (tptp.incident_point_and_line @t65 @t58)) @t64 @t63)) % 0.39/0.57 (define @t67 () (@list true)) % 0.39/0.57 (define @t68 () (@list @t66)) % 0.39/0.57 (define @t69 () (tptp.convergent_lines @t59 @t58)) % 0.39/0.57 (define @t70 () (not @t69)) % 0.39/0.57 (define @t71 () (= @t62 @t70)) % 0.39/0.57 (define @t72 () (tptp.distinct_lines @t59 @t58)) % 0.39/0.57 (define @t73 () (not @t72)) % 0.39/0.57 (define @t74 () (= @t63 @t73)) % 0.39/0.57 (define @t75 () (not @t74)) % 0.39/0.57 (define @t76 () (@list true false)) % 0.39/0.57 (define @t77 () (or @t73 @t69)) % 0.39/0.57 (define @t78 () (not @t77)) % 0.39/0.57 (define @t79 () (forall @t14 (or @t45 @t12))) % 0.39/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.39/0.57 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.39/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.39/0.57 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.39/0.57 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.39/0.57 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.39/0.57 (assume @p7 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.39/0.57 (assume @p8 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t4 @t13))))) % 0.39/0.57 (assume @p9 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t1))))) % 0.39/0.57 (assume @p10 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t4))))) % 0.39/0.57 (assume @p11 (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))))) % 0.39/0.57 (assume @p12 (forall @t7 (=> @t18 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.39/0.57 (assume @p13 (forall @t7 (=> @t18 (or @t8 @t19)))) % 0.39/0.57 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.39/0.57 (assume @p15 @t20) % 0.39/0.57 (assume @p16 (forall @t14 (not (tptp.convergent_lines @t21 @t4)))) % 0.39/0.57 (assume @p17 (forall @t14 (not (tptp.apart_point_and_line @t1 @t21)))) % 0.39/0.57 (assume @p18 (forall @t7 (=> @t8 (or @t18 @t19 @t10)))) % 0.39/0.57 (assume @p19 (forall @t26 (or @t25 @t24))) % 0.39/0.57 (assume @p20 (forall @t32 (=> (and @t25 @t24) (or (and @t31 @t30) (and @t29 @t28))))) % 0.39/0.57 (assume @p21 (forall @t35 (not (tptp.unorthogonal_lines @t34 @t23)))) % 0.39/0.57 (assume @p22 (forall @t35 (not (tptp.apart_point_and_line @t33 @t34)))) % 0.39/0.57 (assume @p23 (forall (@list @t33 @t23 @t22 @t27) (=> (tptp.distinct_lines @t23 @t22) (or (tptp.apart_point_and_line @t33 @t23) (tptp.apart_point_and_line @t33 @t22) @t30 @t28)))) % 0.39/0.57 (assume @p24 (forall @t26 (not (and @t37 @t36)))) % 0.39/0.57 (assume @p25 (forall @t32 (=> (and (or @t37 @t36) (or (not @t31) @t39)) (or @t38 (not @t28))))) % 0.39/0.57 (assume @p26 (forall @t32 (=> (and @t36 @t39) @t38))) % 0.39/0.57 (assume @p27 (forall (@list @t33 @t40) (=> (and @t41 (tptp.point @t40) (tptp.distinct_points @t33 @t40)) (tptp.line (tptp.line_connecting @t33 @t40))))) % 0.39/0.57 (assume @p28 (forall @t26 (=> (and @t42 (tptp.line @t22) @t25) (tptp.point (tptp.intersection_point @t23 @t22))))) % 0.39/0.57 (assume @p29 (forall @t44 (=> @t43 (tptp.line (tptp.parallel_through_point @t23 @t33))))) % 0.39/0.57 (assume @p30 (forall @t44 (=> @t43 (tptp.line @t34)))) % 0.39/0.57 (assume @p31 (forall @t14 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.39/0.57 (assume @p32 (forall @t14 (= (tptp.equal_lines @t1 @t4) @t45))) % 0.39/0.57 (assume @p33 (forall @t14 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.39/0.57 (assume @p34 (forall @t14 (= @t46 (not @t18)))) % 0.39/0.57 (assume @p35 (forall @t14 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.39/0.57 (assume @p36 @t52) % 0.39/0.57 (assume @p37 true) % 0.39/0.57 (step @p38 :rule bool-impl-elim :args (@t9 @t12)) % 0.39/0.57 (step @p39 :rule cong :premises (@p38) :args (@t20)) % 0.39/0.57 (step @p40 :rule eq_resolve :premises (@p15 @p39)) % 0.39/0.57 (step @p41 :rule instantiate :premises (@p33) :args (@t60)) % 0.39/0.57 (step @p42 :rule aci_norm :args ((= (or @t61 @t47) @t56))) % 0.39/0.57 (step @p43 :rule refl :args (@t47)) % 0.39/0.57 (step @p44 :rule aci_norm :args ((= (or @t55 (or @t54 @t53)) @t61))) % 0.39/0.57 (step @p45 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.39/0.57 (step @p46 :rule refl :args (@t55)) % 0.39/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t55 (not (and @t49 @t48))))) % 0.39/0.57 (step @p48 :rule bool-and-de-morgan :args (@t46 @t49 (and @t48))) % 0.39/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.39/0.57 (step @p50 :rule trans :premises (@p49 @p44)) % 0.39/0.57 (step @p51 :rule nary_cong :premises (@p50 @p43) :args ((or (not @t50) @t47))) % 0.39/0.57 (step @p52 :rule trans :premises (@p51 @p42)) % 0.39/0.58 (step @p53 :rule bool-impl-elim :args (@t50 @t47)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.39/0.58 (step @p55 :rule cong :premises (@p54) :args (@t51)) % 0.39/0.58 (step @p56 :rule cong :premises (@p55) :args (@t52)) % 0.39/0.58 (step @p57 :rule eq_resolve :premises (@p36 @p56)) % 0.39/0.58 (step @p58 :rule skolemize :premises (@p57)) % 0.39/0.58 (step @p59 :rule bool-double-not-elim :args (@t62)) % 0.39/0.58 (step @p60 :rule refl :args (@t66)) % 0.39/0.58 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t66 (not @t64)))) % 0.39/0.58 (step @p62 :rule cnf_or_neg :args (@t66 2)) % 0.39/0.58 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.39/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t62 @t66))) % 0.39/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t62 @t67 @t68)) % 0.39/0.58 (step @p66 :rule cnf_equiv_pos1 :args (@t71)) % 0.39/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t64 @t70 (not @t71)))) % 0.39/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p41) :args (@t70 (@list false false) (@list @t62 @t71))) % 0.39/0.58 (step @p69 :rule instantiate :premises (@p32) :args (@t60)) % 0.39/0.58 (step @p70 :rule cnf_or_neg :args (@t66 3)) % 0.39/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p58) :args ((not @t63) @t67 @t68)) % 0.39/0.58 (step @p72 :rule bool-double-not-elim :args (@t72)) % 0.39/0.58 (step @p73 :rule refl :args (@t63)) % 0.39/0.58 (step @p74 :rule refl :args (@t75)) % 0.39/0.58 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((or @t75 @t63 (not @t73)))) % 0.39/0.58 (step @p76 :rule cnf_equiv_pos2 :args (@t74)) % 0.39/0.58 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.39/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t63 @t72 @t75))) % 0.39/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p71 @p69) :args (@t72 @t76 (@list @t63 @t74))) % 0.39/0.58 (step @p80 :rule cnf_or_pos :args (@t77)) % 0.39/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t73 @t69 @t78))) % 0.39/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p68) :args (@t78 (@list false true) (@list @t72 @t69))) % 0.39/0.58 (assume-push @p89 @t79) % 0.39/0.58 (step @p84 :rule instantiate :premises (@p40) :args (@t60)) % 0.39/0.58 (step-pop @p90 :rule scope :premises (@p84)) % 0.39/0.58 (step @p85 :rule process_scope :premises (@p90) :args (@t77)) % 0.39/0.58 (step @p87 :rule implies_elim :premises (@p85)) % 0.39/0.58 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p40) :args (false @t76 (@list @t77 @t79))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------