%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO206+3 : TPTP v9.2.1. Bugfixed v4.0.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 0.42s 0.59s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO206+3 : TPTP v9.2.1. Bugfixed v4.0.1. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 23:40:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.59 % SZS status Theorem % 0.42/0.59 % SZS output start Proof % 0.42/0.59 ( % 0.42/0.59 (declare-sort $$unsorted 0) % 0.42/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.42/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.42/0.59 (define @t2 () (@list @t1)) % 0.42/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.42/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.42/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.42/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.42/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.42/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.42/0.59 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.42/0.59 (define @t10 () (or @t9 @t8)) % 0.42/0.59 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.42/0.59 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.42/0.59 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.42/0.59 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.42/0.59 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.42/0.59 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.42/0.59 (define @t17 () (@list @t1 @t4)) % 0.42/0.59 (define @t18 () (tptp.intersection_point @t1 @t4)) % 0.42/0.59 (define @t19 () (@var "V" $$unsorted)) % 0.42/0.59 (define @t20 () (@var "U" $$unsorted)) % 0.42/0.59 (define @t21 () (tptp.apart_point_and_line @t1 @t4)) % 0.42/0.59 (define @t22 () (tptp.apart_point_and_line @t1 @t3)) % 0.42/0.59 (define @t23 () (forall @t17 (=> @t11 @t15))) % 0.42/0.59 (define @t24 () (tptp.parallel_through_point @t4 @t1)) % 0.42/0.59 (define @t25 () (@var "M" $$unsorted)) % 0.42/0.59 (define @t26 () (@var "L" $$unsorted)) % 0.42/0.59 (define @t27 () (tptp.unorthogonal_lines @t26 @t25)) % 0.42/0.59 (define @t28 () (tptp.convergent_lines @t26 @t25)) % 0.42/0.59 (define @t29 () (@list @t26 @t25)) % 0.42/0.59 (define @t30 () (@var "N" $$unsorted)) % 0.42/0.59 (define @t31 () (tptp.unorthogonal_lines @t25 @t30)) % 0.42/0.59 (define @t32 () (tptp.convergent_lines @t25 @t30)) % 0.42/0.59 (define @t33 () (tptp.unorthogonal_lines @t26 @t30)) % 0.42/0.59 (define @t34 () (tptp.convergent_lines @t26 @t30)) % 0.42/0.59 (define @t35 () (@list @t26 @t25 @t30)) % 0.42/0.59 (define @t36 () (@var "A" $$unsorted)) % 0.42/0.59 (define @t37 () (tptp.orthogonal_through_point @t26 @t36)) % 0.42/0.59 (define @t38 () (@list @t36 @t26)) % 0.42/0.59 (define @t39 () (not @t27)) % 0.42/0.59 (define @t40 () (not @t28)) % 0.42/0.59 (define @t41 () (not @t32)) % 0.42/0.59 (define @t42 () (not @t33)) % 0.42/0.59 (define @t43 () (@var "B" $$unsorted)) % 0.42/0.59 (define @t44 () (tptp.point @t36)) % 0.42/0.59 (define @t45 () (tptp.line @t26)) % 0.42/0.59 (define @t46 () (and @t45 @t44)) % 0.42/0.59 (define @t47 () (@list @t26 @t36)) % 0.42/0.59 (define @t48 () (not @t11)) % 0.42/0.59 (define @t49 () (tptp.incident_point_and_line @t1 @t4)) % 0.42/0.59 (define @t50 () (tptp.equal_lines @t4 (tptp.parallel_through_point @t3 @t1))) % 0.42/0.59 (define @t51 () (tptp.parallel_lines @t4 @t3)) % 0.42/0.59 (define @t52 () (and @t49 @t51)) % 0.42/0.59 (define @t53 () (forall @t7 (=> @t52 @t50))) % 0.42/0.59 (define @t54 () (not @t53)) % 0.42/0.59 (define @t55 () (or @t48 @t9 @t8)) % 0.42/0.59 (define @t56 () (not @t51)) % 0.42/0.59 (define @t57 () (not @t49)) % 0.42/0.59 (define @t58 () (or @t57 @t56 @t50)) % 0.42/0.59 (define @t59 () (forall @t7 @t58)) % 0.42/0.59 (define @t60 () (@quantifiers_skolemize @t59 2)) % 0.42/0.59 (define @t61 () (@quantifiers_skolemize @t59 0)) % 0.42/0.59 (define @t62 () (tptp.parallel_through_point @t60 @t61)) % 0.42/0.59 (define @t63 () (tptp.convergent_lines @t62 @t60)) % 0.42/0.59 (define @t64 () (tptp.distinct_lines @t62 @t60)) % 0.42/0.59 (define @t65 () (not @t64)) % 0.42/0.59 (define @t66 () (or @t65 @t63)) % 0.42/0.59 (define @t67 () (@list true false)) % 0.42/0.59 (define @t68 () (@quantifiers_skolemize @t59 1)) % 0.42/0.59 (define @t69 () (@list @t68 @t60)) % 0.42/0.59 (define @t70 () (tptp.parallel_lines @t68 @t60)) % 0.42/0.59 (define @t71 () (tptp.equal_lines @t68 @t62)) % 0.42/0.59 (define @t72 () (not @t70)) % 0.42/0.59 (define @t73 () (or (not (tptp.incident_point_and_line @t61 @t68)) @t72 @t71)) % 0.42/0.59 (define @t74 () (@list true)) % 0.42/0.59 (define @t75 () (@list @t73)) % 0.42/0.59 (define @t76 () (tptp.convergent_lines @t68 @t60)) % 0.42/0.59 (define @t77 () (not @t76)) % 0.42/0.59 (define @t78 () (= @t70 @t77)) % 0.42/0.59 (define @t79 () (tptp.distinct_lines @t68 @t60)) % 0.42/0.59 (define @t80 () (not @t79)) % 0.42/0.59 (define @t81 () (or @t80 @t76)) % 0.42/0.59 (define @t82 () (tptp.distinct_lines @t68 @t62)) % 0.42/0.59 (define @t83 () (not @t82)) % 0.42/0.59 (define @t84 () (= @t71 @t83)) % 0.42/0.59 (define @t85 () (not @t84)) % 0.42/0.59 (define @t86 () (or @t83 @t79 @t64)) % 0.42/0.59 (define @t87 () (not @t86)) % 0.42/0.59 (define @t88 () (forall @t7 @t55)) % 0.42/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.42/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.42/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.42/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.42/0.59 (assume @p5 @t12) % 0.42/0.59 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.42/0.59 (assume @p7 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t1 @t16))))) % 0.42/0.59 (assume @p8 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t4 @t16))))) % 0.42/0.59 (assume @p9 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t1))))) % 0.42/0.59 (assume @p10 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t4))))) % 0.42/0.59 (assume @p11 (forall (@list @t1 @t4 @t20 @t19) (=> (and @t6 (tptp.distinct_lines @t20 @t19)) (or (tptp.apart_point_and_line @t1 @t20) (tptp.apart_point_and_line @t1 @t19) (tptp.apart_point_and_line @t4 @t20) (tptp.apart_point_and_line @t4 @t19))))) % 0.42/0.59 (assume @p12 (forall @t7 (=> @t21 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.42/0.59 (assume @p13 (forall @t7 (=> @t21 (or @t8 @t22)))) % 0.42/0.59 (assume @p14 (forall @t7 (=> @t15 (or @t8 @t14)))) % 0.42/0.59 (assume @p15 @t23) % 0.42/0.59 (assume @p16 (forall @t17 (not (tptp.convergent_lines @t24 @t4)))) % 0.42/0.59 (assume @p17 (forall @t17 (not (tptp.apart_point_and_line @t1 @t24)))) % 0.42/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t21 @t22 @t13)))) % 0.42/0.59 (assume @p19 (forall @t29 (or @t28 @t27))) % 0.42/0.59 (assume @p20 (forall @t35 (=> (and @t28 @t27) (or (and @t34 @t33) (and @t32 @t31))))) % 0.42/0.59 (assume @p21 (forall @t38 (not (tptp.unorthogonal_lines @t37 @t26)))) % 0.42/0.59 (assume @p22 (forall @t38 (not (tptp.apart_point_and_line @t36 @t37)))) % 0.42/0.59 (assume @p23 (forall (@list @t36 @t26 @t25 @t30) (=> (tptp.distinct_lines @t26 @t25) (or (tptp.apart_point_and_line @t36 @t26) (tptp.apart_point_and_line @t36 @t25) @t33 @t31)))) % 0.42/0.59 (assume @p24 (forall @t29 (not (and @t40 @t39)))) % 0.42/0.59 (assume @p25 (forall @t35 (=> (and (or @t40 @t39) (or (not @t34) @t42)) (or @t41 (not @t31))))) % 0.42/0.59 (assume @p26 (forall @t35 (=> (and @t39 @t42) @t41))) % 0.42/0.59 (assume @p27 (forall (@list @t36 @t43) (=> (and @t44 (tptp.point @t43) (tptp.distinct_points @t36 @t43)) (tptp.line (tptp.line_connecting @t36 @t43))))) % 0.42/0.59 (assume @p28 (forall @t29 (=> (and @t45 (tptp.line @t25) @t28) (tptp.point (tptp.intersection_point @t26 @t25))))) % 0.42/0.59 (assume @p29 (forall @t47 (=> @t46 (tptp.line (tptp.parallel_through_point @t26 @t36))))) % 0.42/0.59 (assume @p30 (forall @t47 (=> @t46 (tptp.line @t37)))) % 0.42/0.59 (assume @p31 (forall @t17 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.42/0.59 (assume @p32 (forall @t17 (= (tptp.equal_lines @t1 @t4) @t48))) % 0.42/0.59 (assume @p33 (forall @t17 (= (tptp.parallel_lines @t1 @t4) (not @t15)))) % 0.42/0.59 (assume @p34 (forall @t17 (= @t49 (not @t21)))) % 0.42/0.59 (assume @p35 (forall @t17 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.42/0.59 (assume @p36 @t54) % 0.42/0.59 (assume @p37 true) % 0.42/0.59 (step @p38 :rule aci_norm :args ((= (or @t48 @t10) @t55))) % 0.42/0.59 (step @p39 :rule bool-impl-elim :args (@t11 @t10)) % 0.42/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.42/0.59 (step @p41 :rule cong :premises (@p40) :args (@t12)) % 0.42/0.59 (step @p42 :rule eq_resolve :premises (@p5 @p41)) % 0.42/0.59 (step @p43 :rule bool-impl-elim :args (@t11 @t15)) % 0.42/0.59 (step @p44 :rule cong :premises (@p43) :args (@t23)) % 0.42/0.59 (step @p45 :rule eq_resolve :premises (@p15 @p44)) % 0.42/0.59 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t62 @t60))) % 0.42/0.59 (step @p47 :rule instantiate :premises (@p16) :args ((@list @t61 @t60))) % 0.42/0.59 (step @p48 :rule cnf_or_pos :args (@t66)) % 0.42/0.59 (step @p49 :rule reordering :premises (@p48) :args ((or @t63 @t65 (not @t66)))) % 0.42/0.59 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46) :args (@t65 @t67 (@list @t63 @t66))) % 0.42/0.59 (step @p51 :rule instantiate :premises (@p45) :args (@t69)) % 0.42/0.59 (step @p52 :rule instantiate :premises (@p33) :args (@t69)) % 0.42/0.59 (step @p53 :rule aci_norm :args ((= (or (or @t57 @t56) @t50) @t58))) % 0.42/0.59 (step @p54 :rule refl :args (@t50)) % 0.42/0.59 (step @p55 :rule bool-and-de-morgan :args (@t49 @t51 true)) % 0.42/0.59 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t52) @t50))) % 0.42/0.59 (step @p57 :rule trans :premises (@p56 @p53)) % 0.42/0.59 (step @p58 :rule bool-impl-elim :args (@t52 @t50)) % 0.42/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.42/0.59 (step @p60 :rule cong :premises (@p59) :args (@t53)) % 0.42/0.59 (step @p61 :rule cong :premises (@p60) :args (@t54)) % 0.42/0.59 (step @p62 :rule eq_resolve :premises (@p36 @p61)) % 0.42/0.59 (step @p63 :rule skolemize :premises (@p62)) % 0.42/0.59 (step @p64 :rule bool-double-not-elim :args (@t70)) % 0.42/0.59 (step @p65 :rule refl :args (@t73)) % 0.42/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t73 (not @t72)))) % 0.42/0.59 (step @p67 :rule cnf_or_neg :args (@t73 1)) % 0.42/0.59 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.42/0.59 (step @p69 :rule reordering :premises (@p68) :args ((or @t70 @t73))) % 0.42/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t70 @t74 @t75)) % 0.42/0.59 (step @p71 :rule cnf_equiv_pos1 :args (@t78)) % 0.42/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t72 @t77 (not @t78)))) % 0.42/0.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p52) :args (@t77 (@list false false) (@list @t70 @t78))) % 0.42/0.59 (step @p74 :rule cnf_or_pos :args (@t81)) % 0.42/0.59 (step @p75 :rule reordering :premises (@p74) :args ((or @t76 @t80 (not @t81)))) % 0.42/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p51) :args (@t80 @t67 (@list @t76 @t81))) % 0.42/0.59 (step @p77 :rule instantiate :premises (@p32) :args ((@list @t68 @t62))) % 0.42/0.59 (step @p78 :rule cnf_or_neg :args (@t73 2)) % 0.42/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p63) :args ((not @t71) @t74 @t75)) % 0.42/0.59 (step @p80 :rule bool-double-not-elim :args (@t82)) % 0.42/0.59 (step @p81 :rule refl :args (@t71)) % 0.42/0.59 (step @p82 :rule refl :args (@t85)) % 0.42/0.59 (step @p83 :rule nary_cong :premises (@p82 @p81 @p80) :args ((or @t85 @t71 (not @t83)))) % 0.42/0.59 (step @p84 :rule cnf_equiv_pos2 :args (@t84)) % 0.42/0.59 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.42/0.59 (step @p86 :rule reordering :premises (@p85) :args ((or @t71 @t82 @t85))) % 0.42/0.59 (step @p87 :rule chain_m_resolution :premises (@p86 @p79 @p77) :args (@t82 @t67 (@list @t71 @t84))) % 0.42/0.59 (step @p88 :rule cnf_or_pos :args (@t86)) % 0.42/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t83 @t79 @t64 @t87))) % 0.42/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p76 @p50) :args (@t87 (@list false true true) (@list @t82 @t79 @t64))) % 0.42/0.59 (assume-push @p97 @t88) % 0.42/0.59 (step @p92 :rule instantiate :premises (@p42) :args ((@list @t68 @t62 @t60))) % 0.42/0.59 (step-pop @p98 :rule scope :premises (@p92)) % 0.42/0.59 (step @p93 :rule process_scope :premises (@p98) :args (@t86)) % 0.42/0.59 (step @p95 :rule implies_elim :premises (@p93)) % 0.42/0.59 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p42) :args (false @t67 (@list @t86 @t88))) % 0.42/0.59 ) % 0.42/0.59 % SZS output end Proof % 0.42/0.59 % cvc5 exiting %------------------------------------------------------------------------------