%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO220+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 : n019.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 08:16:48 AM UTC 2026 % Result : Theorem 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO220+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:41:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Theorem % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.41/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.41/0.59 (define @t2 () (@list @t1)) % 0.41/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.41/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.41/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.41/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.41/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.41/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.41/0.59 (define @t9 () (tptp.distinct_lines @t1 @t4)) % 0.41/0.59 (define @t10 () (tptp.convergent_lines @t4 @t3)) % 0.41/0.59 (define @t11 () (tptp.convergent_lines @t1 @t3)) % 0.41/0.59 (define @t12 () (tptp.convergent_lines @t1 @t4)) % 0.41/0.59 (define @t13 () (tptp.line_connecting @t1 @t4)) % 0.41/0.59 (define @t14 () (@list @t1 @t4)) % 0.41/0.59 (define @t15 () (tptp.intersection_point @t1 @t4)) % 0.41/0.59 (define @t16 () (@var "V" $$unsorted)) % 0.41/0.59 (define @t17 () (@var "U" $$unsorted)) % 0.41/0.59 (define @t18 () (tptp.apart_point_and_line @t1 @t4)) % 0.41/0.59 (define @t19 () (tptp.apart_point_and_line @t1 @t3)) % 0.41/0.59 (define @t20 () (tptp.parallel_through_point @t4 @t1)) % 0.41/0.59 (define @t21 () (@var "M" $$unsorted)) % 0.41/0.59 (define @t22 () (@var "L" $$unsorted)) % 0.41/0.59 (define @t23 () (tptp.unorthogonal_lines @t22 @t21)) % 0.41/0.59 (define @t24 () (tptp.convergent_lines @t22 @t21)) % 0.41/0.59 (define @t25 () (@list @t22 @t21)) % 0.41/0.59 (define @t26 () (@var "N" $$unsorted)) % 0.41/0.59 (define @t27 () (tptp.unorthogonal_lines @t21 @t26)) % 0.41/0.59 (define @t28 () (tptp.convergent_lines @t21 @t26)) % 0.41/0.59 (define @t29 () (tptp.unorthogonal_lines @t22 @t26)) % 0.41/0.59 (define @t30 () (tptp.convergent_lines @t22 @t26)) % 0.41/0.59 (define @t31 () (@list @t22 @t21 @t26)) % 0.41/0.59 (define @t32 () (@var "A" $$unsorted)) % 0.41/0.59 (define @t33 () (tptp.orthogonal_through_point @t22 @t32)) % 0.41/0.59 (define @t34 () (@list @t32 @t22)) % 0.41/0.59 (define @t35 () (not @t23)) % 0.41/0.59 (define @t36 () (not @t24)) % 0.41/0.59 (define @t37 () (not @t28)) % 0.41/0.59 (define @t38 () (not @t29)) % 0.41/0.59 (define @t39 () (and @t35 @t38)) % 0.41/0.59 (define @t40 () (forall @t31 (=> @t39 @t37))) % 0.41/0.59 (define @t41 () (@var "B" $$unsorted)) % 0.41/0.59 (define @t42 () (tptp.point @t32)) % 0.41/0.59 (define @t43 () (tptp.line @t22)) % 0.41/0.59 (define @t44 () (and @t43 @t42)) % 0.41/0.59 (define @t45 () (@list @t22 @t32)) % 0.41/0.59 (define @t46 () (tptp.parallel_lines @t21 @t26)) % 0.41/0.59 (define @t47 () (tptp.orthogonal_lines @t22 @t26)) % 0.41/0.59 (define @t48 () (tptp.orthogonal_lines @t22 @t21)) % 0.41/0.59 (define @t49 () (and @t48 @t47)) % 0.41/0.59 (define @t50 () (forall @t31 (=> @t49 @t46))) % 0.41/0.59 (define @t51 () (not @t50)) % 0.41/0.59 (define @t52 () (or @t23 @t29 @t37)) % 0.41/0.59 (define @t53 () (not @t47)) % 0.41/0.59 (define @t54 () (not @t48)) % 0.41/0.59 (define @t55 () (or @t54 @t53 @t46)) % 0.41/0.59 (define @t56 () (forall @t31 @t55)) % 0.41/0.59 (define @t57 () (@quantifiers_skolemize @t56 2)) % 0.41/0.59 (define @t58 () (@quantifiers_skolemize @t56 0)) % 0.41/0.59 (define @t59 () (tptp.orthogonal_lines @t58 @t57)) % 0.41/0.59 (define @t60 () (@quantifiers_skolemize @t56 1)) % 0.41/0.59 (define @t61 () (tptp.parallel_lines @t60 @t57)) % 0.41/0.59 (define @t62 () (not @t59)) % 0.41/0.59 (define @t63 () (tptp.orthogonal_lines @t58 @t60)) % 0.41/0.59 (define @t64 () (not @t63)) % 0.41/0.59 (define @t65 () (or @t64 @t62 @t61)) % 0.41/0.59 (define @t66 () (@list true)) % 0.41/0.59 (define @t67 () (@list @t65)) % 0.41/0.59 (define @t68 () (tptp.unorthogonal_lines @t58 @t57)) % 0.41/0.59 (define @t69 () (not @t68)) % 0.41/0.59 (define @t70 () (= @t59 @t69)) % 0.41/0.59 (define @t71 () (@list false false)) % 0.41/0.59 (define @t72 () (tptp.unorthogonal_lines @t58 @t60)) % 0.41/0.59 (define @t73 () (not @t72)) % 0.41/0.59 (define @t74 () (= @t63 @t73)) % 0.41/0.59 (define @t75 () (tptp.convergent_lines @t60 @t57)) % 0.41/0.59 (define @t76 () (not @t75)) % 0.41/0.59 (define @t77 () (= @t61 @t76)) % 0.41/0.59 (define @t78 () (not @t77)) % 0.41/0.59 (define @t79 () (@list true false)) % 0.41/0.59 (define @t80 () (or @t72 @t68 @t76)) % 0.41/0.59 (define @t81 () (not @t80)) % 0.41/0.59 (define @t82 () (forall @t31 @t52)) % 0.41/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.41/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.41/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.41/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.41/0.59 (assume @p5 (forall @t7 (=> @t9 (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.41/0.59 (assume @p6 (forall @t7 (=> @t12 (or @t11 @t10)))) % 0.41/0.59 (assume @p7 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t1 @t13))))) % 0.41/0.59 (assume @p8 (forall @t14 (=> @t6 (not (tptp.apart_point_and_line @t4 @t13))))) % 0.41/0.59 (assume @p9 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t1))))) % 0.41/0.59 (assume @p10 (forall @t14 (=> @t12 (not (tptp.apart_point_and_line @t15 @t4))))) % 0.41/0.59 (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))))) % 0.41/0.59 (assume @p12 (forall @t7 (=> @t18 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.41/0.59 (assume @p13 (forall @t7 (=> @t18 (or @t8 @t19)))) % 0.41/0.59 (assume @p14 (forall @t7 (=> @t12 (or @t8 @t11)))) % 0.41/0.59 (assume @p15 (forall @t14 (=> @t9 @t12))) % 0.41/0.59 (assume @p16 (forall @t14 (not (tptp.convergent_lines @t20 @t4)))) % 0.41/0.59 (assume @p17 (forall @t14 (not (tptp.apart_point_and_line @t1 @t20)))) % 0.41/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t18 @t19 @t10)))) % 0.41/0.59 (assume @p19 (forall @t25 (or @t24 @t23))) % 0.41/0.59 (assume @p20 (forall @t31 (=> (and @t24 @t23) (or (and @t30 @t29) (and @t28 @t27))))) % 0.41/0.59 (assume @p21 (forall @t34 (not (tptp.unorthogonal_lines @t33 @t22)))) % 0.41/0.59 (assume @p22 (forall @t34 (not (tptp.apart_point_and_line @t32 @t33)))) % 0.41/0.59 (assume @p23 (forall (@list @t32 @t22 @t21 @t26) (=> (tptp.distinct_lines @t22 @t21) (or (tptp.apart_point_and_line @t32 @t22) (tptp.apart_point_and_line @t32 @t21) @t29 @t27)))) % 0.41/0.59 (assume @p24 (forall @t25 (not (and @t36 @t35)))) % 0.41/0.59 (assume @p25 (forall @t31 (=> (and (or @t36 @t35) (or (not @t30) @t38)) (or @t37 (not @t27))))) % 0.41/0.59 (assume @p26 @t40) % 0.41/0.59 (assume @p27 (forall (@list @t32 @t41) (=> (and @t42 (tptp.point @t41) (tptp.distinct_points @t32 @t41)) (tptp.line (tptp.line_connecting @t32 @t41))))) % 0.41/0.59 (assume @p28 (forall @t25 (=> (and @t43 (tptp.line @t21) @t24) (tptp.point (tptp.intersection_point @t22 @t21))))) % 0.41/0.59 (assume @p29 (forall @t45 (=> @t44 (tptp.line (tptp.parallel_through_point @t22 @t32))))) % 0.41/0.59 (assume @p30 (forall @t45 (=> @t44 (tptp.line @t33)))) % 0.41/0.59 (assume @p31 (forall @t14 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.41/0.59 (assume @p32 (forall @t14 (= (tptp.equal_lines @t1 @t4) (not @t9)))) % 0.41/0.59 (assume @p33 (forall @t14 (= (tptp.parallel_lines @t1 @t4) (not @t12)))) % 0.41/0.59 (assume @p34 (forall @t14 (= (tptp.incident_point_and_line @t1 @t4) (not @t18)))) % 0.41/0.59 (assume @p35 (forall @t14 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.41/0.59 (assume @p36 @t51) % 0.41/0.59 (assume @p37 true) % 0.41/0.59 (step @p38 :rule aci_norm :args ((= (or (or @t23 @t29) @t37) @t52))) % 0.41/0.59 (step @p39 :rule refl :args (@t37)) % 0.41/0.59 (step @p40 :rule bool-double-not-elim :args (@t29)) % 0.41/0.59 (step @p41 :rule bool-double-not-elim :args (@t23)) % 0.41/0.59 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t35) (not @t38)))) % 0.41/0.59 (step @p43 :rule bool-and-de-morgan :args (@t35 @t38 true)) % 0.41/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.41/0.59 (step @p45 :rule nary_cong :premises (@p44 @p39) :args ((or (not @t39) @t37))) % 0.41/0.59 (step @p46 :rule trans :premises (@p45 @p38)) % 0.41/0.59 (step @p47 :rule bool-impl-elim :args (@t39 @t37)) % 0.41/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.41/0.59 (step @p49 :rule cong :premises (@p48) :args (@t40)) % 0.41/0.59 (step @p50 :rule eq_resolve :premises (@p26 @p49)) % 0.41/0.59 (step @p51 :rule instantiate :premises (@p35) :args ((@list @t58 @t57))) % 0.41/0.59 (step @p52 :rule aci_norm :args ((= (or (or @t54 @t53) @t46) @t55))) % 0.41/0.59 (step @p53 :rule refl :args (@t46)) % 0.41/0.59 (step @p54 :rule bool-and-de-morgan :args (@t48 @t47 true)) % 0.41/0.59 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t49) @t46))) % 0.41/0.59 (step @p56 :rule trans :premises (@p55 @p52)) % 0.41/0.59 (step @p57 :rule bool-impl-elim :args (@t49 @t46)) % 0.41/0.59 (step @p58 :rule trans :premises (@p57 @p56)) % 0.41/0.59 (step @p59 :rule cong :premises (@p58) :args (@t50)) % 0.41/0.59 (step @p60 :rule cong :premises (@p59) :args (@t51)) % 0.41/0.59 (step @p61 :rule eq_resolve :premises (@p36 @p60)) % 0.41/0.59 (step @p62 :rule skolemize :premises (@p61)) % 0.41/0.59 (step @p63 :rule bool-double-not-elim :args (@t59)) % 0.41/0.59 (step @p64 :rule refl :args (@t65)) % 0.41/0.59 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t65 (not @t62)))) % 0.41/0.59 (step @p66 :rule cnf_or_neg :args (@t65 1)) % 0.41/0.59 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.41/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t59 @t65))) % 0.41/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t59 @t66 @t67)) % 0.41/0.59 (step @p70 :rule cnf_equiv_pos1 :args (@t70)) % 0.41/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t62 @t69 (not @t70)))) % 0.41/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p51) :args (@t69 @t71 (@list @t59 @t70))) % 0.41/0.59 (step @p73 :rule instantiate :premises (@p35) :args ((@list @t58 @t60))) % 0.41/0.59 (step @p74 :rule bool-double-not-elim :args (@t63)) % 0.41/0.59 (step @p75 :rule nary_cong :premises (@p64 @p74) :args ((or @t65 (not @t64)))) % 0.41/0.59 (step @p76 :rule cnf_or_neg :args (@t65 0)) % 0.41/0.59 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.41/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t63 @t65))) % 0.41/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p62) :args (@t63 @t66 @t67)) % 0.41/0.59 (step @p80 :rule cnf_equiv_pos1 :args (@t74)) % 0.41/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t64 @t73 (not @t74)))) % 0.41/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73) :args (@t73 @t71 (@list @t63 @t74))) % 0.41/0.59 (step @p83 :rule instantiate :premises (@p33) :args ((@list @t60 @t57))) % 0.41/0.59 (step @p84 :rule cnf_or_neg :args (@t65 2)) % 0.41/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p62) :args ((not @t61) @t66 @t67)) % 0.41/0.59 (step @p86 :rule bool-double-not-elim :args (@t75)) % 0.41/0.59 (step @p87 :rule refl :args (@t61)) % 0.41/0.59 (step @p88 :rule refl :args (@t78)) % 0.41/0.59 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or @t78 @t61 (not @t76)))) % 0.41/0.59 (step @p90 :rule cnf_equiv_pos2 :args (@t77)) % 0.41/0.59 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.41/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t61 @t75 @t78))) % 0.41/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p85 @p83) :args (@t75 @t79 (@list @t61 @t77))) % 0.41/0.59 (step @p94 :rule cnf_or_pos :args (@t80)) % 0.41/0.59 (step @p95 :rule reordering :premises (@p94) :args ((or @t76 @t72 @t68 @t81))) % 0.41/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p82 @p72) :args (@t81 (@list false true true) (@list @t75 @t72 @t68))) % 0.41/0.59 (assume-push @p103 @t82) % 0.41/0.59 (step @p98 :rule instantiate :premises (@p50) :args ((@list @t58 @t60 @t57))) % 0.41/0.59 (step-pop @p104 :rule scope :premises (@p98)) % 0.41/0.59 (step @p99 :rule process_scope :premises (@p104) :args (@t80)) % 0.41/0.59 (step @p101 :rule implies_elim :premises (@p99)) % 0.41/0.59 (step @p102 false :rule chain_m_resolution :premises (@p101 @p96 @p50) :args (false @t79 (@list @t80 @t82))) % 0.41/0.59 ) % 0.41/0.59 % SZS output end Proof % 0.41/0.59 % cvc5 exiting %------------------------------------------------------------------------------