%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO210+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 0.17s 0.38s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO210+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 23:40:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.38 % SZS status Theorem % 0.17/0.38 % SZS output start Proof % 0.17/0.38 ( % 0.17/0.38 (declare-sort $$unsorted 0) % 0.17/0.38 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.38 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.38 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.38 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.38 (declare-const tptp.line (-> $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.point (-> $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.17/0.38 (define @t1 () (@var "X" $$unsorted)) % 0.17/0.38 (define @t2 () (@list @t1)) % 0.17/0.38 (define @t3 () (@var "Z" $$unsorted)) % 0.17/0.38 (define @t4 () (@var "Y" $$unsorted)) % 0.17/0.38 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.17/0.38 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.17/0.38 (define @t7 () (@list @t1 @t4 @t3)) % 0.17/0.38 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.17/0.38 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.17/0.38 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.17/0.38 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.17/0.38 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.17/0.38 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.17/0.38 (define @t14 () (@list @t1 @t4)) % 0.17/0.38 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.17/0.38 (define @t16 () (@var "V" $$unsorted)) % 0.17/0.38 (define @t17 () (@var "U" $$unsorted)) % 0.17/0.38 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.17/0.38 (define @t19 () (tptp.apart_point_and_line @t1 @t3)) % 0.17/0.38 (define @t20 () (tptp.parallel_through_point @t4 @t1)) % 0.17/0.38 (define @t21 () (@var "M" $$unsorted)) % 0.17/0.38 (define @t22 () (@var "L" $$unsorted)) % 0.17/0.38 (define @t23 () (tptp.unorthogonal_lines @t22 @t21)) % 0.17/0.38 (define @t24 () (tptp.convergent_lines @t22 @t21)) % 0.17/0.38 (define @t25 () (@list @t22 @t21)) % 0.17/0.38 (define @t26 () (@var "N" $$unsorted)) % 0.17/0.38 (define @t27 () (tptp.unorthogonal_lines @t21 @t26)) % 0.17/0.38 (define @t28 () (tptp.convergent_lines @t21 @t26)) % 0.17/0.38 (define @t29 () (tptp.unorthogonal_lines @t22 @t26)) % 0.17/0.38 (define @t30 () (tptp.convergent_lines @t22 @t26)) % 0.17/0.38 (define @t31 () (@list @t22 @t21 @t26)) % 0.17/0.38 (define @t32 () (@var "A" $$unsorted)) % 0.17/0.38 (define @t33 () (tptp.orthogonal_through_point @t22 @t32)) % 0.17/0.38 (define @t34 () (@list @t32 @t22)) % 0.17/0.38 (define @t35 () (tptp.apart_point_and_line @t32 @t21)) % 0.17/0.38 (define @t36 () (tptp.apart_point_and_line @t32 @t22)) % 0.17/0.38 (define @t37 () (or @t36 @t35 @t29 @t27)) % 0.17/0.38 (define @t38 () (tptp.distinct_lines @t22 @t21)) % 0.17/0.38 (define @t39 () (@list @t32 @t22 @t21 @t26)) % 0.17/0.38 (define @t40 () (forall @t39 (=> @t38 @t37))) % 0.17/0.38 (define @t41 () (not @t23)) % 0.17/0.38 (define @t42 () (not @t24)) % 0.17/0.38 (define @t43 () (not @t28)) % 0.17/0.38 (define @t44 () (not @t29)) % 0.17/0.38 (define @t45 () (@var "B" $$unsorted)) % 0.17/0.38 (define @t46 () (tptp.point @t32)) % 0.17/0.38 (define @t47 () (tptp.line @t22)) % 0.17/0.38 (define @t48 () (and @t47 @t46)) % 0.17/0.38 (define @t49 () (@list @t22 @t32)) % 0.17/0.38 (define @t50 () (tptp.equal_lines @t22 (tptp.orthogonal_through_point @t21 @t32))) % 0.17/0.38 (define @t51 () (tptp.orthogonal_lines @t22 @t21)) % 0.17/0.38 (define @t52 () (tptp.incident_point_and_line @t32 @t22)) % 0.17/0.38 (define @t53 () (and @t52 @t51)) % 0.17/0.38 (define @t54 () (@list @t32 @t22 @t21)) % 0.17/0.38 (define @t55 () (forall @t54 (=> @t53 @t50))) % 0.17/0.38 (define @t56 () (not @t55)) % 0.17/0.38 (define @t57 () (not @t38)) % 0.17/0.38 (define @t58 () (or @t57 @t36 @t35 @t29 @t27)) % 0.17/0.38 (define @t59 () (not @t51)) % 0.17/0.38 (define @t60 () (not @t52)) % 0.17/0.38 (define @t61 () (or @t60 @t59 @t50)) % 0.17/0.38 (define @t62 () (forall @t54 @t61)) % 0.17/0.38 (define @t63 () (@quantifiers_skolemize @t62 2)) % 0.17/0.38 (define @t64 () (@quantifiers_skolemize @t62 1)) % 0.17/0.38 (define @t65 () (tptp.orthogonal_lines @t64 @t63)) % 0.17/0.38 (define @t66 () (@quantifiers_skolemize @t62 0)) % 0.17/0.38 (define @t67 () (tptp.orthogonal_through_point @t63 @t66)) % 0.17/0.38 (define @t68 () (tptp.equal_lines @t64 @t67)) % 0.17/0.38 (define @t69 () (not @t65)) % 0.17/0.38 (define @t70 () (tptp.incident_point_and_line @t66 @t64)) % 0.17/0.38 (define @t71 () (not @t70)) % 0.17/0.38 (define @t72 () (or @t71 @t69 @t68)) % 0.17/0.38 (define @t73 () (@list true)) % 0.17/0.38 (define @t74 () (@list @t72)) % 0.17/0.38 (define @t75 () (tptp.unorthogonal_lines @t64 @t63)) % 0.17/0.38 (define @t76 () (not @t75)) % 0.17/0.38 (define @t77 () (= @t65 @t76)) % 0.17/0.38 (define @t78 () (@list false false)) % 0.17/0.38 (define @t79 () (tptp.apart_point_and_line @t66 @t64)) % 0.17/0.38 (define @t80 () (not @t79)) % 0.17/0.38 (define @t81 () (= @t70 @t80)) % 0.17/0.38 (define @t82 () (tptp.distinct_lines @t64 @t67)) % 0.17/0.38 (define @t83 () (not @t82)) % 0.17/0.38 (define @t84 () (= @t68 @t83)) % 0.17/0.38 (define @t85 () (not @t84)) % 0.17/0.38 (define @t86 () (@list true false)) % 0.17/0.38 (define @t87 () (@list @t66 @t63)) % 0.17/0.38 (define @t88 () (tptp.unorthogonal_lines @t67 @t63)) % 0.17/0.38 (define @t89 () (tptp.apart_point_and_line @t66 @t67)) % 0.17/0.38 (define @t90 () (or @t83 @t79 @t89 @t75 @t88)) % 0.17/0.38 (define @t91 () (not @t90)) % 0.17/0.38 (define @t92 () (forall @t39 @t58)) % 0.17/0.38 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.17/0.38 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.17/0.38 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.17/0.38 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.17/0.38 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.17/0.38 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.17/0.38 (assume @p7 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.17/0.38 (assume @p8 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t4 @t13))))) % 0.17/0.38 (assume @p9 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t1))))) % 0.17/0.38 (assume @p10 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t4))))) % 0.17/0.38 (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))))) % 0.17/0.38 (assume @p12 (forall @t7 (=> @t18 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.17/0.38 (assume @p13 (forall @t7 (=> @t18 (or @t8 @t19)))) % 0.17/0.38 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.17/0.38 (assume @p15 (forall @t14 (=> @t9 @t12))) % 0.17/0.38 (assume @p16 (forall @t14 (not (tptp.convergent_lines @t20 @t4)))) % 0.17/0.38 (assume @p17 (forall @t14 (not (tptp.apart_point_and_line @t1 @t20)))) % 0.17/0.38 (assume @p18 (forall @t7 (=> @t8 (or @t18 @t19 @t10)))) % 0.17/0.38 (assume @p19 (forall @t25 (or @t24 @t23))) % 0.17/0.38 (assume @p20 (forall @t31 (=> (and @t24 @t23) (or (and @t30 @t29) (and @t28 @t27))))) % 0.17/0.38 (assume @p21 (forall @t34 (not (tptp.unorthogonal_lines @t33 @t22)))) % 0.17/0.38 (assume @p22 (forall @t34 (not (tptp.apart_point_and_line @t32 @t33)))) % 0.17/0.38 (assume @p23 @t40) % 0.17/0.38 (assume @p24 (forall @t25 (not (and @t42 @t41)))) % 0.17/0.38 (assume @p25 (forall @t31 (=> (and (or @t42 @t41) (or (not @t30) @t44)) (or @t43 (not @t27))))) % 0.17/0.38 (assume @p26 (forall @t31 (=> (and @t41 @t44) @t43))) % 0.17/0.38 (assume @p27 (forall (@list @t32 @t45) (=> (and @t46 (tptp.point @t45) (tptp.distinct_points @t32 @t45)) (tptp.line (tptp.line_connecting @t32 @t45))))) % 0.17/0.38 (assume @p28 (forall @t25 (=> (and @t47 (tptp.line @t21) @t24) (tptp.point (tptp.intersection_point @t22 @t21))))) % 0.17/0.38 (assume @p29 (forall @t49 (=> @t48 (tptp.line (tptp.parallel_through_point @t22 @t32))))) % 0.17/0.38 (assume @p30 (forall @t49 (=> @t48 (tptp.line @t33)))) % 0.17/0.38 (assume @p31 (forall @t14 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.17/0.38 (assume @p32 (forall @t14 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.17/0.38 (assume @p33 (forall @t14 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.17/0.38 (assume @p34 (forall @t14 (= (tptp.incident_point_and_line @t1 @t4) (not @t18)))) % 0.17/0.38 (assume @p35 (forall @t14 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.17/0.38 (assume @p36 @t56) % 0.17/0.38 (assume @p37 true) % 0.17/0.38 (step @p38 :rule aci_norm :args ((= (or @t57 @t37) @t58))) % 0.17/0.38 (step @p39 :rule bool-impl-elim :args (@t38 @t37)) % 0.17/0.38 (step @p40 :rule trans :premises (@p39 @p38)) % 0.17/0.38 (step @p41 :rule cong :premises (@p40) :args (@t40)) % 0.17/0.38 (step @p42 :rule eq_resolve :premises (@p23 @p41)) % 0.17/0.38 (step @p43 :rule instantiate :premises (@p35) :args ((@list @t64 @t63))) % 0.17/0.38 (step @p44 :rule aci_norm :args ((= (or (or @t60 @t59) @t50) @t61))) % 0.17/0.38 (step @p45 :rule refl :args (@t50)) % 0.17/0.38 (step @p46 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 0.17/0.38 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t53) @t50))) % 0.17/0.38 (step @p48 :rule trans :premises (@p47 @p44)) % 0.17/0.38 (step @p49 :rule bool-impl-elim :args (@t53 @t50)) % 0.17/0.38 (step @p50 :rule trans :premises (@p49 @p48)) % 0.17/0.38 (step @p51 :rule cong :premises (@p50) :args (@t55)) % 0.17/0.38 (step @p52 :rule cong :premises (@p51) :args (@t56)) % 0.17/0.38 (step @p53 :rule eq_resolve :premises (@p36 @p52)) % 0.17/0.38 (step @p54 :rule skolemize :premises (@p53)) % 0.17/0.38 (step @p55 :rule bool-double-not-elim :args (@t65)) % 0.17/0.38 (step @p56 :rule refl :args (@t72)) % 0.17/0.38 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t72 (not @t69)))) % 0.17/0.38 (step @p58 :rule cnf_or_neg :args (@t72 1)) % 0.17/0.38 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.17/0.38 (step @p60 :rule reordering :premises (@p59) :args ((or @t65 @t72))) % 0.17/0.38 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t65 @t73 @t74)) % 0.17/0.38 (step @p62 :rule cnf_equiv_pos1 :args (@t77)) % 0.17/0.38 (step @p63 :rule reordering :premises (@p62) :args ((or @t69 @t76 (not @t77)))) % 0.17/0.38 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p43) :args (@t76 @t78 (@list @t65 @t77))) % 0.17/0.38 (step @p65 :rule instantiate :premises (@p34) :args ((@list @t66 @t64))) % 0.17/0.38 (step @p66 :rule bool-double-not-elim :args (@t70)) % 0.17/0.38 (step @p67 :rule nary_cong :premises (@p56 @p66) :args ((or @t72 (not @t71)))) % 0.17/0.38 (step @p68 :rule cnf_or_neg :args (@t72 0)) % 0.17/0.38 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.17/0.38 (step @p70 :rule reordering :premises (@p69) :args ((or @t70 @t72))) % 0.17/0.38 (step @p71 :rule chain_m_resolution :premises (@p70 @p54) :args (@t70 @t73 @t74)) % 0.17/0.38 (step @p72 :rule cnf_equiv_pos1 :args (@t81)) % 0.17/0.38 (step @p73 :rule reordering :premises (@p72) :args ((or @t71 @t80 (not @t81)))) % 0.17/0.38 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p65) :args (@t80 @t78 (@list @t70 @t81))) % 0.17/0.38 (step @p75 :rule instantiate :premises (@p32) :args ((@list @t64 @t67))) % 0.17/0.38 (step @p76 :rule cnf_or_neg :args (@t72 2)) % 0.17/0.38 (step @p77 :rule chain_m_resolution :premises (@p76 @p54) :args ((not @t68) @t73 @t74)) % 0.17/0.38 (step @p78 :rule bool-double-not-elim :args (@t82)) % 0.17/0.38 (step @p79 :rule refl :args (@t68)) % 0.17/0.38 (step @p80 :rule refl :args (@t85)) % 0.17/0.38 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args ((or @t85 @t68 (not @t83)))) % 0.17/0.38 (step @p82 :rule cnf_equiv_pos2 :args (@t84)) % 0.17/0.38 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.17/0.38 (step @p84 :rule reordering :premises (@p83) :args ((or @t68 @t82 @t85))) % 0.17/0.38 (step @p85 :rule chain_m_resolution :premises (@p84 @p77 @p75) :args (@t82 @t86 (@list @t68 @t84))) % 0.17/0.38 (step @p86 :rule instantiate :premises (@p22) :args (@t87)) % 0.17/0.38 (step @p87 :rule instantiate :premises (@p21) :args (@t87)) % 0.17/0.38 (step @p88 :rule cnf_or_pos :args (@t90)) % 0.17/0.38 (step @p89 :rule reordering :premises (@p88) :args ((or @t88 @t89 @t83 @t79 @t75 @t91))) % 0.17/0.38 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p86 @p85 @p74 @p64) :args (@t91 (@list true true false true true) (@list @t88 @t89 @t82 @t79 @t75))) % 0.17/0.38 (assume-push @p97 @t92) % 0.17/0.38 (step @p92 :rule instantiate :premises (@p42) :args ((@list @t66 @t64 @t67 @t63))) % 0.17/0.38 (step-pop @p98 :rule scope :premises (@p92)) % 0.17/0.38 (step @p93 :rule process_scope :premises (@p98) :args (@t90)) % 0.17/0.38 (step @p95 :rule implies_elim :premises (@p93)) % 0.17/0.38 (step @p96 false :rule chain_m_resolution :premises (@p95 @p90 @p42) :args (false @t86 (@list @t90 @t92))) % 0.17/0.38 ) % 0.17/0.38 % SZS output end Proof % 0.17/0.38 % cvc5 exiting %------------------------------------------------------------------------------