%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO221+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 08:16:49 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO221+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % 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 23:41:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (@list @t1)) % 0.38/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.58 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.58 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.58 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.58 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.58 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.58 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.58 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.58 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.38/0.58 (define @t14 () (@list @t1 @t4)) % 0.38/0.58 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.38/0.58 (define @t16 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t17 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.58 (define @t19 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.58 (define @t20 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.58 (define @t21 () (@var "M" $$unsorted)) % 0.38/0.58 (define @t22 () (@var "L" $$unsorted)) % 0.38/0.58 (define @t23 () (tptp.unorthogonal_lines @t22 @t21)) % 0.38/0.58 (define @t24 () (tptp.convergent_lines @t22 @t21)) % 0.38/0.58 (define @t25 () (@list @t22 @t21)) % 0.38/0.58 (define @t26 () (@var "N" $$unsorted)) % 0.38/0.58 (define @t27 () (tptp.unorthogonal_lines @t21 @t26)) % 0.38/0.58 (define @t28 () (tptp.convergent_lines @t21 @t26)) % 0.38/0.58 (define @t29 () (tptp.unorthogonal_lines @t22 @t26)) % 0.38/0.58 (define @t30 () (tptp.convergent_lines @t22 @t26)) % 0.38/0.58 (define @t31 () (@list @t22 @t21 @t26)) % 0.38/0.58 (define @t32 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t33 () (tptp.orthogonal_through_point @t22 @t32)) % 0.38/0.58 (define @t34 () (@list @t32 @t22)) % 0.38/0.58 (define @t35 () (tptp.apart_point_and_line @t32 @t21)) % 0.38/0.58 (define @t36 () (tptp.apart_point_and_line @t32 @t22)) % 0.38/0.58 (define @t37 () (or @t36 @t35 @t29 @t27)) % 0.38/0.58 (define @t38 () (tptp.distinct_lines @t22 @t21)) % 0.38/0.58 (define @t39 () (@list @t32 @t22 @t21 @t26)) % 0.38/0.58 (define @t40 () (forall @t39 (=> @t38 @t37))) % 0.38/0.58 (define @t41 () (not @t23)) % 0.38/0.58 (define @t42 () (not @t24)) % 0.38/0.58 (define @t43 () (not @t28)) % 0.38/0.58 (define @t44 () (not @t29)) % 0.38/0.58 (define @t45 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t46 () (tptp.point @t32)) % 0.38/0.58 (define @t47 () (tptp.line @t22)) % 0.38/0.58 (define @t48 () (and @t47 @t46)) % 0.38/0.58 (define @t49 () (@list @t22 @t32)) % 0.38/0.58 (define @t50 () (tptp.equal_lines @t33 (tptp.orthogonal_through_point @t22 @t45))) % 0.38/0.58 (define @t51 () (tptp.incident_point_and_line @t45 @t33)) % 0.38/0.58 (define @t52 () (@list @t32 @t45 @t22)) % 0.38/0.58 (define @t53 () (forall @t52 (=> @t51 @t50))) % 0.38/0.58 (define @t54 () (not @t53)) % 0.38/0.58 (define @t55 () (not @t38)) % 0.38/0.58 (define @t56 () (or @t55 @t36 @t35 @t29 @t27)) % 0.38/0.58 (define @t57 () (forall @t52 (or (not @t51) @t50))) % 0.38/0.58 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.38/0.58 (define @t59 () (@quantifiers_skolemize @t57 2)) % 0.38/0.58 (define @t60 () (tptp.orthogonal_through_point @t59 @t58)) % 0.38/0.58 (define @t61 () (@quantifiers_skolemize @t57 1)) % 0.38/0.58 (define @t62 () (tptp.incident_point_and_line @t61 @t60)) % 0.38/0.58 (define @t63 () (tptp.orthogonal_through_point @t59 @t61)) % 0.38/0.58 (define @t64 () (tptp.equal_lines @t60 @t63)) % 0.38/0.58 (define @t65 () (not @t62)) % 0.38/0.58 (define @t66 () (or @t65 @t64)) % 0.38/0.58 (define @t67 () (@list true)) % 0.38/0.58 (define @t68 () (@list @t66)) % 0.38/0.58 (define @t69 () (tptp.apart_point_and_line @t61 @t60)) % 0.38/0.58 (define @t70 () (not @t69)) % 0.38/0.58 (define @t71 () (= @t62 @t70)) % 0.38/0.58 (define @t72 () (tptp.distinct_lines @t60 @t63)) % 0.38/0.58 (define @t73 () (not @t72)) % 0.38/0.58 (define @t74 () (= @t64 @t73)) % 0.38/0.58 (define @t75 () (not @t74)) % 0.38/0.58 (define @t76 () (@list true false)) % 0.38/0.58 (define @t77 () (@list @t61 @t59)) % 0.38/0.58 (define @t78 () (tptp.unorthogonal_lines @t63 @t59)) % 0.38/0.58 (define @t79 () (tptp.unorthogonal_lines @t60 @t59)) % 0.38/0.58 (define @t80 () (tptp.apart_point_and_line @t61 @t63)) % 0.38/0.58 (define @t81 () (or @t73 @t69 @t80 @t79 @t78)) % 0.38/0.58 (define @t82 () (not @t81)) % 0.38/0.58 (define @t83 () (forall @t39 @t56)) % 0.38/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.58 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.58 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.38/0.58 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.38/0.58 (assume @p7 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.38/0.58 (assume @p8 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t4 @t13))))) % 0.38/0.58 (assume @p9 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t1))))) % 0.38/0.58 (assume @p10 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t4))))) % 0.38/0.58 (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))))) % 0.38/0.58 (assume @p12 (forall @t7 (=> @t18 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.58 (assume @p13 (forall @t7 (=> @t18 (or @t8 @t19)))) % 0.38/0.58 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.38/0.58 (assume @p15 (forall @t14 (=> @t9 @t12))) % 0.38/0.58 (assume @p16 (forall @t14 (not (tptp.convergent_lines @t20 @t4)))) % 0.38/0.58 (assume @p17 (forall @t14 (not (tptp.apart_point_and_line @t1 @t20)))) % 0.38/0.58 (assume @p18 (forall @t7 (=> @t8 (or @t18 @t19 @t10)))) % 0.38/0.58 (assume @p19 (forall @t25 (or @t24 @t23))) % 0.38/0.58 (assume @p20 (forall @t31 (=> (and @t24 @t23) (or (and @t30 @t29) (and @t28 @t27))))) % 0.38/0.58 (assume @p21 (forall @t34 (not (tptp.unorthogonal_lines @t33 @t22)))) % 0.38/0.58 (assume @p22 (forall @t34 (not (tptp.apart_point_and_line @t32 @t33)))) % 0.38/0.58 (assume @p23 @t40) % 0.38/0.58 (assume @p24 (forall @t25 (not (and @t42 @t41)))) % 0.38/0.58 (assume @p25 (forall @t31 (=> (and (or @t42 @t41) (or (not @t30) @t44)) (or @t43 (not @t27))))) % 0.38/0.58 (assume @p26 (forall @t31 (=> (and @t41 @t44) @t43))) % 0.38/0.58 (assume @p27 (forall (@list @t32 @t45) (=> (and @t46 (tptp.point @t45) (tptp.distinct_points @t32 @t45)) (tptp.line (tptp.line_connecting @t32 @t45))))) % 0.38/0.58 (assume @p28 (forall @t25 (=> (and @t47 (tptp.line @t21) @t24) (tptp.point (tptp.intersection_point @t22 @t21))))) % 0.38/0.58 (assume @p29 (forall @t49 (=> @t48 (tptp.line (tptp.parallel_through_point @t22 @t32))))) % 0.38/0.58 (assume @p30 (forall @t49 (=> @t48 (tptp.line @t33)))) % 0.38/0.58 (assume @p31 (forall @t14 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.38/0.58 (assume @p32 (forall @t14 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.38/0.58 (assume @p33 (forall @t14 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.38/0.58 (assume @p34 (forall @t14 (= (tptp.incident_point_and_line @t1 @t4) (not @t18)))) % 0.38/0.58 (assume @p35 (forall @t14 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.38/0.58 (assume @p36 @t54) % 0.38/0.58 (assume @p37 true) % 0.38/0.58 (step @p38 :rule aci_norm :args ((= (or @t55 @t37) @t56))) % 0.38/0.58 (step @p39 :rule bool-impl-elim :args (@t38 @t37)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.58 (step @p41 :rule cong :premises (@p40) :args (@t40)) % 0.38/0.58 (step @p42 :rule eq_resolve :premises (@p23 @p41)) % 0.38/0.58 (step @p43 :rule instantiate :premises (@p34) :args ((@list @t61 @t60))) % 0.38/0.58 (step @p44 :rule bool-impl-elim :args (@t51 @t50)) % 0.38/0.58 (step @p45 :rule cong :premises (@p44) :args (@t53)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45) :args (@t54)) % 0.38/0.58 (step @p47 :rule eq_resolve :premises (@p36 @p46)) % 0.38/0.58 (step @p48 :rule skolemize :premises (@p47)) % 0.38/0.58 (step @p49 :rule bool-double-not-elim :args (@t62)) % 0.38/0.58 (step @p50 :rule refl :args (@t66)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t66 (not @t65)))) % 0.38/0.58 (step @p52 :rule cnf_or_neg :args (@t66 0)) % 0.38/0.58 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.38/0.58 (step @p54 :rule reordering :premises (@p53) :args ((or @t62 @t66))) % 0.38/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p48) :args (@t62 @t67 @t68)) % 0.38/0.58 (step @p56 :rule cnf_equiv_pos1 :args (@t71)) % 0.38/0.58 (step @p57 :rule reordering :premises (@p56) :args ((or @t65 @t70 (not @t71)))) % 0.38/0.58 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p43) :args (@t70 (@list false false) (@list @t62 @t71))) % 0.38/0.58 (step @p59 :rule instantiate :premises (@p32) :args ((@list @t60 @t63))) % 0.38/0.58 (step @p60 :rule cnf_or_neg :args (@t66 1)) % 0.38/0.58 (step @p61 :rule chain_m_resolution :premises (@p60 @p48) :args ((not @t64) @t67 @t68)) % 0.38/0.58 (step @p62 :rule bool-double-not-elim :args (@t72)) % 0.38/0.58 (step @p63 :rule refl :args (@t64)) % 0.38/0.58 (step @p64 :rule refl :args (@t75)) % 0.38/0.58 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args ((or @t75 @t64 (not @t73)))) % 0.38/0.58 (step @p66 :rule cnf_equiv_pos2 :args (@t74)) % 0.38/0.58 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.38/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t64 @t72 @t75))) % 0.38/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p61 @p59) :args (@t72 @t76 (@list @t64 @t74))) % 0.38/0.58 (step @p70 :rule instantiate :premises (@p22) :args (@t77)) % 0.38/0.58 (step @p71 :rule instantiate :premises (@p21) :args (@t77)) % 0.38/0.58 (step @p72 :rule instantiate :premises (@p21) :args ((@list @t58 @t59))) % 0.38/0.58 (step @p73 :rule cnf_or_pos :args (@t81)) % 0.38/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t79 @t78 @t80 @t73 @t69 @t82))) % 0.38/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71 @p70 @p69 @p58) :args (@t82 (@list true true true false true) (@list @t79 @t78 @t80 @t72 @t69))) % 0.38/0.58 (assume-push @p82 @t83) % 0.38/0.58 (step @p77 :rule instantiate :premises (@p42) :args ((@list @t61 @t60 @t63 @t59))) % 0.38/0.58 (step-pop @p83 :rule scope :premises (@p77)) % 0.38/0.58 (step @p78 :rule process_scope :premises (@p83) :args (@t81)) % 0.38/0.58 (step @p80 :rule implies_elim :premises (@p78)) % 0.38/0.58 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p42) :args (false @t76 (@list @t81 @t83))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------