%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO171+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 : n010.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 08:16:31 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO171+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 23:37:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.orthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.incident_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.parallel_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.parallel_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.equal_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.orthogonal_through_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.line (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.unorthogonal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.point (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.equal_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t2 () (@list @t1)) % 0.38/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.38/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.38/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.59 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.38/0.59 (define @t10 () (or @t9 @t8)) % 0.38/0.59 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.59 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.38/0.59 (define @t13 () (tptp.convergent_lines @t4 @t3)) % 0.38/0.59 (define @t14 () (tptp.convergent_lines @t1 @t3)) % 0.38/0.59 (define @t15 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.59 (define @t16 () (tptp.line_connecting @t1 @t4)) % 0.38/0.59 (define @t17 () (@list @t1 @t4)) % 0.38/0.59 (define @t18 () (tptp.intersection_point @t1 @t4)) % 0.38/0.59 (define @t19 () (@var "V" $$unsorted)) % 0.38/0.59 (define @t20 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t21 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.59 (define @t22 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.59 (define @t23 () (or @t8 @t14)) % 0.38/0.59 (define @t24 () (forall @t7 (=> @t15 @t23))) % 0.38/0.59 (define @t25 () (forall @t17 (=> @t11 @t15))) % 0.38/0.59 (define @t26 () (tptp.parallel_through_point @t4 @t1)) % 0.38/0.59 (define @t27 () (@var "M" $$unsorted)) % 0.38/0.59 (define @t28 () (@var "L" $$unsorted)) % 0.38/0.59 (define @t29 () (tptp.unorthogonal_lines @t28 @t27)) % 0.38/0.59 (define @t30 () (tptp.convergent_lines @t28 @t27)) % 0.38/0.59 (define @t31 () (@list @t28 @t27)) % 0.38/0.59 (define @t32 () (@var "N" $$unsorted)) % 0.38/0.59 (define @t33 () (tptp.unorthogonal_lines @t27 @t32)) % 0.38/0.59 (define @t34 () (tptp.convergent_lines @t27 @t32)) % 0.38/0.59 (define @t35 () (tptp.unorthogonal_lines @t28 @t32)) % 0.38/0.59 (define @t36 () (tptp.convergent_lines @t28 @t32)) % 0.38/0.59 (define @t37 () (@list @t28 @t27 @t32)) % 0.38/0.59 (define @t38 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t39 () (tptp.orthogonal_through_point @t28 @t38)) % 0.38/0.59 (define @t40 () (@list @t38 @t28)) % 0.38/0.59 (define @t41 () (not @t29)) % 0.38/0.59 (define @t42 () (not @t30)) % 0.38/0.59 (define @t43 () (not @t34)) % 0.38/0.59 (define @t44 () (not @t35)) % 0.38/0.59 (define @t45 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t46 () (tptp.point @t38)) % 0.38/0.59 (define @t47 () (tptp.line @t28)) % 0.38/0.59 (define @t48 () (and @t47 @t46)) % 0.38/0.59 (define @t49 () (@list @t28 @t38)) % 0.38/0.59 (define @t50 () (not @t11)) % 0.38/0.59 (define @t51 () (not @t15)) % 0.38/0.59 (define @t52 () (forall @t17 (=> @t15 @t11))) % 0.38/0.59 (define @t53 () (not @t52)) % 0.38/0.59 (define @t54 () (or @t50 @t9 @t8)) % 0.38/0.59 (define @t55 () (forall @t17 (or @t51 @t11))) % 0.38/0.59 (define @t56 () (@quantifiers_skolemize @t55 0)) % 0.38/0.59 (define @t57 () (@quantifiers_skolemize @t55 1)) % 0.38/0.59 (define @t58 () (tptp.convergent_lines @t56 @t57)) % 0.38/0.59 (define @t59 () (tptp.distinct_lines @t56 @t57)) % 0.38/0.59 (define @t60 () (not @t58)) % 0.38/0.59 (define @t61 () (or @t60 @t59)) % 0.38/0.59 (define @t62 () (@list true)) % 0.38/0.59 (define @t63 () (@list @t61)) % 0.38/0.59 (define @t64 () (tptp.convergent_lines @t56 @t56)) % 0.38/0.59 (define @t65 () (tptp.distinct_lines @t57 @t56)) % 0.38/0.59 (define @t66 () (or @t60 @t65 @t64)) % 0.38/0.59 (define @t67 () (tptp.convergent_lines @t57 @t57)) % 0.38/0.59 (define @t68 () (tptp.distinct_lines @t57 @t57)) % 0.38/0.59 (define @t69 () (not @t68)) % 0.38/0.59 (define @t70 () (or @t69 @t67)) % 0.38/0.59 (define @t71 () (@list true false)) % 0.38/0.59 (define @t72 () (not @t65)) % 0.38/0.59 (define @t73 () (or @t72 @t68 @t59)) % 0.38/0.59 (define @t74 () (not @t73)) % 0.38/0.59 (define @t75 () (forall @t7 @t54)) % 0.38/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.38/0.59 (assume @p5 @t12) % 0.38/0.59 (assume @p6 (forall @t7 (=> @t15 (or @t14 @t13)))) % 0.38/0.59 (assume @p7 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t1 @t16))))) % 0.38/0.59 (assume @p8 (forall @t17 (=> @t6 (not (tptp.apart_point_and_line @t4 @t16))))) % 0.38/0.59 (assume @p9 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t1))))) % 0.38/0.59 (assume @p10 (forall @t17 (=> @t15 (not (tptp.apart_point_and_line @t18 @t4))))) % 0.38/0.59 (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))))) % 0.38/0.59 (assume @p12 (forall @t7 (=> @t21 (or @t5 (tptp.apart_point_and_line @t3 @t4))))) % 0.38/0.59 (assume @p13 (forall @t7 (=> @t21 (or @t8 @t22)))) % 0.38/0.59 (assume @p14 @t24) % 0.38/0.59 (assume @p15 @t25) % 0.38/0.59 (assume @p16 (forall @t17 (not (tptp.convergent_lines @t26 @t4)))) % 0.38/0.59 (assume @p17 (forall @t17 (not (tptp.apart_point_and_line @t1 @t26)))) % 0.38/0.59 (assume @p18 (forall @t7 (=> @t8 (or @t21 @t22 @t13)))) % 0.38/0.59 (assume @p19 (forall @t31 (or @t30 @t29))) % 0.38/0.59 (assume @p20 (forall @t37 (=> (and @t30 @t29) (or (and @t36 @t35) (and @t34 @t33))))) % 0.38/0.59 (assume @p21 (forall @t40 (not (tptp.unorthogonal_lines @t39 @t28)))) % 0.38/0.59 (assume @p22 (forall @t40 (not (tptp.apart_point_and_line @t38 @t39)))) % 0.38/0.59 (assume @p23 (forall (@list @t38 @t28 @t27 @t32) (=> (tptp.distinct_lines @t28 @t27) (or (tptp.apart_point_and_line @t38 @t28) (tptp.apart_point_and_line @t38 @t27) @t35 @t33)))) % 0.38/0.59 (assume @p24 (forall @t31 (not (and @t42 @t41)))) % 0.38/0.59 (assume @p25 (forall @t37 (=> (and (or @t42 @t41) (or (not @t36) @t44)) (or @t43 (not @t33))))) % 0.38/0.59 (assume @p26 (forall @t37 (=> (and @t41 @t44) @t43))) % 0.38/0.59 (assume @p27 (forall (@list @t38 @t45) (=> (and @t46 (tptp.point @t45) (tptp.distinct_points @t38 @t45)) (tptp.line (tptp.line_connecting @t38 @t45))))) % 0.38/0.59 (assume @p28 (forall @t31 (=> (and @t47 (tptp.line @t27) @t30) (tptp.point (tptp.intersection_point @t28 @t27))))) % 0.38/0.59 (assume @p29 (forall @t49 (=> @t48 (tptp.line (tptp.parallel_through_point @t28 @t38))))) % 0.38/0.59 (assume @p30 (forall @t49 (=> @t48 (tptp.line @t39)))) % 0.38/0.59 (assume @p31 (forall @t17 (= (tptp.equal_points @t1 @t4) (not @t6)))) % 0.38/0.59 (assume @p32 (forall @t17 (= (tptp.equal_lines @t1 @t4) @t50))) % 0.38/0.59 (assume @p33 (forall @t17 (= (tptp.parallel_lines @t1 @t4) @t51))) % 0.38/0.59 (assume @p34 (forall @t17 (= (tptp.incident_point_and_line @t1 @t4) (not @t21)))) % 0.38/0.59 (assume @p35 (forall @t17 (= (tptp.orthogonal_lines @t1 @t4) (not (tptp.unorthogonal_lines @t1 @t4))))) % 0.38/0.59 (assume @p36 @t53) % 0.38/0.59 (assume @p37 true) % 0.38/0.59 (step @p38 :rule aci_norm :args ((= (or @t50 @t10) @t54))) % 0.38/0.59 (step @p39 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.59 (step @p41 :rule cong :premises (@p40) :args (@t12)) % 0.38/0.59 (step @p42 :rule eq_resolve :premises (@p5 @p41)) % 0.38/0.59 (step @p43 :rule aci_norm :args ((= (or @t51 @t23) (or @t51 @t8 @t14)))) % 0.38/0.59 (step @p44 :rule bool-impl-elim :args (@t15 @t23)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45) :args (@t24)) % 0.38/0.59 (step @p47 :rule eq_resolve :premises (@p14 @p46)) % 0.38/0.59 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t56 @t57 @t56))) % 0.38/0.59 (step @p49 :rule instantiate :premises (@p3) :args ((@list @t56))) % 0.38/0.59 (step @p50 :rule bool-impl-elim :args (@t15 @t11)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50) :args (@t52)) % 0.38/0.59 (step @p52 :rule cong :premises (@p51) :args (@t53)) % 0.38/0.59 (step @p53 :rule eq_resolve :premises (@p36 @p52)) % 0.38/0.59 (step @p54 :rule skolemize :premises (@p53)) % 0.38/0.59 (step @p55 :rule bool-double-not-elim :args (@t58)) % 0.38/0.59 (step @p56 :rule refl :args (@t61)) % 0.38/0.59 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t61 (not @t60)))) % 0.38/0.59 (step @p58 :rule cnf_or_neg :args (@t61 0)) % 0.38/0.59 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 0.38/0.59 (step @p60 :rule reordering :premises (@p59) :args ((or @t58 @t61))) % 0.38/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t58 @t62 @t63)) % 0.38/0.59 (step @p62 :rule cnf_or_pos :args (@t66)) % 0.38/0.59 (step @p63 :rule reordering :premises (@p62) :args ((or @t60 @t64 @t65 (not @t66)))) % 0.38/0.59 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p49 @p48) :args (@t65 (@list false true false) (@list @t58 @t64 @t66))) % 0.38/0.59 (step @p65 :rule bool-impl-elim :args (@t11 @t15)) % 0.38/0.59 (step @p66 :rule cong :premises (@p65) :args (@t25)) % 0.38/0.59 (step @p67 :rule eq_resolve :premises (@p15 @p66)) % 0.38/0.59 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t57 @t57))) % 0.38/0.59 (step @p69 :rule instantiate :premises (@p3) :args ((@list @t57))) % 0.38/0.59 (step @p70 :rule cnf_or_pos :args (@t70)) % 0.38/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t67 @t69 (not @t70)))) % 0.38/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p68) :args (@t69 @t71 (@list @t67 @t70))) % 0.38/0.59 (step @p73 :rule cnf_or_neg :args (@t61 1)) % 0.38/0.59 (step @p74 :rule chain_m_resolution :premises (@p73 @p54) :args ((not @t59) @t62 @t63)) % 0.38/0.59 (step @p75 :rule cnf_or_pos :args (@t73)) % 0.38/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t59 @t68 @t72 @t74))) % 0.38/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p72 @p64) :args (@t74 (@list true true false) (@list @t59 @t68 @t65))) % 0.38/0.59 (assume-push @p84 @t75) % 0.38/0.59 (step @p79 :rule instantiate :premises (@p42) :args ((@list @t57 @t56 @t57))) % 0.38/0.59 (step-pop @p85 :rule scope :premises (@p79)) % 0.38/0.59 (step @p80 :rule process_scope :premises (@p85) :args (@t73)) % 0.38/0.59 (step @p82 :rule implies_elim :premises (@p80)) % 0.38/0.59 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p42) :args (false @t71 (@list @t73 @t75))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------