%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO192+2 : TPTP v9.2.1. Released v3.3.0. % 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 08:16:38 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO192+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:39:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.59 (define @t2 () (@list @t1)) % 0.37/0.59 (define @t3 () (@var "Z" $$unsorted)) % 0.37/0.59 (define @t4 () (@var "Y" $$unsorted)) % 0.37/0.59 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.37/0.59 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.59 (define @t7 () (@list @t1 @t4 @t3)) % 0.37/0.59 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.37/0.59 (define @t9 () (tptp.distinct_lines @t1 @t3)) % 0.37/0.59 (define @t10 () (or @t9 @t8)) % 0.37/0.59 (define @t11 () (tptp.distinct_lines @t1 @t4)) % 0.37/0.59 (define @t12 () (forall @t7 (=> @t11 @t10))) % 0.37/0.59 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.59 (define @t14 () (tptp.intersection_point @t1 @t4)) % 0.37/0.59 (define @t15 () (tptp.distinct_points @t3 @t14)) % 0.37/0.59 (define @t16 () (tptp.apart_point_and_line @t3 @t4)) % 0.37/0.59 (define @t17 () (tptp.apart_point_and_line @t3 @t1)) % 0.37/0.59 (define @t18 () (or @t17 @t16)) % 0.37/0.59 (define @t19 () (=> @t18 @t15)) % 0.37/0.59 (define @t20 () (forall @t7 (=> @t13 @t19))) % 0.37/0.59 (define @t21 () (@var "V" $$unsorted)) % 0.37/0.59 (define @t22 () (@var "U" $$unsorted)) % 0.37/0.59 (define @t23 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.59 (define @t24 () (tptp.apart_point_and_line @t1 @t3)) % 0.37/0.59 (define @t25 () (or @t8 @t24)) % 0.37/0.59 (define @t26 () (forall @t7 (=> @t23 @t25))) % 0.37/0.59 (define @t27 () (and @t9 @t8)) % 0.37/0.59 (define @t28 () (tptp.apart_point_and_line @t14 @t3)) % 0.37/0.59 (define @t29 () (=> @t28 @t27)) % 0.37/0.59 (define @t30 () (forall @t7 (=> @t13 @t29))) % 0.37/0.59 (define @t31 () (not @t30)) % 0.37/0.59 (define @t32 () (not @t11)) % 0.37/0.59 (define @t33 () (or @t32 @t9 @t8)) % 0.37/0.59 (define @t34 () (not @t23)) % 0.37/0.59 (define @t35 () (not @t28)) % 0.37/0.59 (define @t36 () (not @t13)) % 0.37/0.59 (define @t37 () (or @t36 @t35 @t27)) % 0.37/0.59 (define @t38 () (forall @t7 @t37)) % 0.37/0.59 (define @t39 () (@quantifiers_skolemize @t38 1)) % 0.37/0.59 (define @t40 () (@quantifiers_skolemize @t38 2)) % 0.37/0.59 (define @t41 () (@quantifiers_skolemize @t38 0)) % 0.37/0.59 (define @t42 () (tptp.intersection_point @t41 @t39)) % 0.37/0.59 (define @t43 () (and (not @t17) (not @t16))) % 0.37/0.59 (define @t44 () (tptp.convergent_lines @t41 @t39)) % 0.37/0.59 (define @t45 () (tptp.distinct_lines @t39 @t40)) % 0.37/0.59 (define @t46 () (tptp.distinct_lines @t41 @t40)) % 0.37/0.59 (define @t47 () (and @t46 @t45)) % 0.37/0.59 (define @t48 () (tptp.apart_point_and_line @t42 @t40)) % 0.37/0.59 (define @t49 () (not @t48)) % 0.37/0.59 (define @t50 () (not @t44)) % 0.37/0.59 (define @t51 () (or @t50 @t49 @t47)) % 0.37/0.59 (define @t52 () (@list true)) % 0.37/0.59 (define @t53 () (@list @t51)) % 0.37/0.59 (define @t54 () (tptp.distinct_points @t42 @t42)) % 0.37/0.59 (define @t55 () (tptp.apart_point_and_line @t42 @t39)) % 0.37/0.59 (define @t56 () (not @t55)) % 0.37/0.59 (define @t57 () (tptp.apart_point_and_line @t42 @t41)) % 0.37/0.59 (define @t58 () (not @t57)) % 0.37/0.59 (define @t59 () (and @t58 @t56)) % 0.37/0.59 (define @t60 () (or @t50 @t59 @t54)) % 0.37/0.59 (define @t61 () (@list false true false)) % 0.37/0.59 (define @t62 () (not @t59)) % 0.37/0.59 (define @t63 () (@list false)) % 0.37/0.59 (define @t64 () (@list @t59)) % 0.37/0.59 (define @t65 () (tptp.distinct_lines @t40 @t39)) % 0.37/0.59 (define @t66 () (or @t49 @t65 @t55)) % 0.37/0.59 (define @t67 () (tptp.distinct_lines @t40 @t41)) % 0.37/0.59 (define @t68 () (or @t49 @t67 @t57)) % 0.37/0.59 (define @t69 () (tptp.distinct_lines @t40 @t40)) % 0.37/0.59 (define @t70 () (not @t67)) % 0.37/0.59 (define @t71 () (or @t70 @t69 @t46)) % 0.37/0.59 (define @t72 () (@list true false)) % 0.37/0.59 (define @t73 () (not @t65)) % 0.37/0.59 (define @t74 () (or @t73 @t69 @t45)) % 0.37/0.59 (define @t75 () (not @t74)) % 0.37/0.59 (define @t76 () (forall @t7 @t33)) % 0.37/0.59 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.59 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.59 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.59 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.37/0.59 (assume @p5 @t12) % 0.37/0.59 (assume @p6 (forall @t7 (=> @t13 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.37/0.59 (assume @p7 (forall @t7 (=> @t6 (=> (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4)) (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4)))))) % 0.37/0.59 (assume @p8 @t20) % 0.37/0.59 (assume @p9 (forall (@list @t1 @t4 @t22 @t21) (=> (and @t6 (tptp.distinct_lines @t22 @t21)) (or (tptp.apart_point_and_line @t1 @t22) (tptp.apart_point_and_line @t1 @t21) (tptp.apart_point_and_line @t4 @t22) (tptp.apart_point_and_line @t4 @t21))))) % 0.37/0.59 (assume @p10 (forall @t7 (=> @t23 (or @t5 @t16)))) % 0.37/0.59 (assume @p11 @t26) % 0.37/0.59 (assume @p12 (forall (@list @t1 @t4) (=> @t13 @t11))) % 0.37/0.59 (assume @p13 @t31) % 0.37/0.59 (assume @p14 true) % 0.37/0.59 (step @p15 :rule aci_norm :args ((= (or @t32 @t10) @t33))) % 0.37/0.59 (step @p16 :rule bool-impl-elim :args (@t11 @t10)) % 0.37/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.59 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.37/0.59 (step @p19 :rule eq_resolve :premises (@p5 @p18)) % 0.37/0.59 (step @p20 :rule aci_norm :args ((= (or @t34 @t25) (or @t34 @t8 @t24)))) % 0.37/0.59 (step @p21 :rule bool-impl-elim :args (@t23 @t25)) % 0.37/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.37/0.59 (step @p23 :rule cong :premises (@p22) :args (@t26)) % 0.37/0.59 (step @p24 :rule eq_resolve :premises (@p11 @p23)) % 0.37/0.59 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t42 @t40 @t39))) % 0.37/0.59 (step @p26 :rule aci_norm :args ((= (or @t36 (or @t43 @t15)) (or @t36 @t43 @t15)))) % 0.37/0.59 (step @p27 :rule refl :args (@t15)) % 0.37/0.59 (step @p28 :rule bool-or-de-morgan :args (@t17 @t16 false)) % 0.37/0.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t18) @t15))) % 0.37/0.59 (step @p30 :rule bool-impl-elim :args (@t18 @t15)) % 0.37/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.59 (step @p32 :rule refl :args (@t36)) % 0.37/0.59 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t36 @t19))) % 0.37/0.59 (step @p34 :rule trans :premises (@p33 @p26)) % 0.37/0.59 (step @p35 :rule bool-impl-elim :args (@t13 @t19)) % 0.37/0.59 (step @p36 :rule trans :premises (@p35 @p34)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args (@t20)) % 0.37/0.59 (step @p38 :rule eq_resolve :premises (@p8 @p37)) % 0.37/0.59 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t41 @t39 @t42))) % 0.37/0.59 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t42))) % 0.37/0.59 (step @p41 :rule aci_norm :args ((= (or @t36 (or @t35 @t27)) @t37))) % 0.37/0.59 (step @p42 :rule bool-impl-elim :args (@t28 @t27)) % 0.37/0.59 (step @p43 :rule nary_cong :premises (@p32 @p42) :args ((or @t36 @t29))) % 0.37/0.59 (step @p44 :rule trans :premises (@p43 @p41)) % 0.37/0.59 (step @p45 :rule bool-impl-elim :args (@t13 @t29)) % 0.37/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.59 (step @p47 :rule cong :premises (@p46) :args (@t30)) % 0.37/0.59 (step @p48 :rule cong :premises (@p47) :args (@t31)) % 0.37/0.59 (step @p49 :rule eq_resolve :premises (@p13 @p48)) % 0.37/0.59 (step @p50 :rule skolemize :premises (@p49)) % 0.37/0.59 (step @p51 :rule bool-double-not-elim :args (@t44)) % 0.37/0.59 (step @p52 :rule refl :args (@t51)) % 0.37/0.59 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t51 (not @t50)))) % 0.37/0.59 (step @p54 :rule cnf_or_neg :args (@t51 0)) % 0.37/0.59 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.37/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t44 @t51))) % 0.37/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p50) :args (@t44 @t52 @t53)) % 0.37/0.59 (step @p58 :rule cnf_or_pos :args (@t60)) % 0.37/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t50 @t54 @t59 (not @t60)))) % 0.37/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p40 @p39) :args (@t59 @t61 (@list @t44 @t54 @t60))) % 0.37/0.59 (step @p61 :rule cnf_and_pos :args (@t59 1)) % 0.37/0.59 (step @p62 :rule reordering :premises (@p61) :args ((or @t56 @t62))) % 0.37/0.59 (step @p63 :rule chain_m_resolution :premises (@p62 @p60) :args (@t56 @t63 @t64)) % 0.37/0.59 (step @p64 :rule bool-double-not-elim :args (@t48)) % 0.37/0.59 (step @p65 :rule nary_cong :premises (@p52 @p64) :args ((or @t51 (not @t49)))) % 0.37/0.59 (step @p66 :rule cnf_or_neg :args (@t51 1)) % 0.37/0.59 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.37/0.59 (step @p68 :rule reordering :premises (@p67) :args ((or @t48 @t51))) % 0.37/0.59 (step @p69 :rule chain_m_resolution :premises (@p68 @p50) :args (@t48 @t52 @t53)) % 0.37/0.59 (step @p70 :rule cnf_or_pos :args (@t66)) % 0.37/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t49 @t55 @t65 (not @t66)))) % 0.37/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p63 @p25) :args (@t65 @t61 (@list @t48 @t55 @t66))) % 0.37/0.59 (step @p73 :rule instantiate :premises (@p2) :args ((@list @t40))) % 0.37/0.59 (step @p74 :rule instantiate :premises (@p19) :args ((@list @t40 @t41 @t40))) % 0.37/0.59 (step @p75 :rule instantiate :premises (@p24) :args ((@list @t42 @t40 @t41))) % 0.37/0.59 (step @p76 :rule cnf_and_pos :args (@t59 0)) % 0.37/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t58 @t62))) % 0.37/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p60) :args (@t58 @t63 @t64)) % 0.37/0.59 (step @p79 :rule cnf_or_pos :args (@t68)) % 0.37/0.59 (step @p80 :rule reordering :premises (@p79) :args ((or @t49 @t57 @t67 (not @t68)))) % 0.37/0.59 (step @p81 :rule chain_m_resolution :premises (@p80 @p69 @p78 @p75) :args (@t67 @t61 (@list @t48 @t57 @t68))) % 0.37/0.59 (step @p82 :rule cnf_or_pos :args (@t71)) % 0.37/0.59 (step @p83 :rule reordering :premises (@p82) :args ((or @t46 @t69 @t70 (not @t71)))) % 0.37/0.59 (step @p84 :rule chain_m_resolution :premises (@p83 @p73 @p81 @p74) :args (@t46 (@list true false false) (@list @t69 @t67 @t71))) % 0.37/0.59 (step @p85 :rule cnf_or_neg :args (@t51 2)) % 0.37/0.59 (step @p86 :rule chain_m_resolution :premises (@p85 @p50) :args ((not @t47) @t52 @t53)) % 0.37/0.59 (step @p87 :rule cnf_and_neg :args (@t47)) % 0.37/0.59 (step @p88 :rule chain_m_resolution :premises (@p87 @p86 @p84) :args ((not @t45) @t72 (@list @t47 @t46))) % 0.37/0.59 (step @p89 :rule cnf_or_pos :args (@t74)) % 0.37/0.59 (step @p90 :rule reordering :premises (@p89) :args ((or @t45 @t69 @t73 @t75))) % 0.37/0.59 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p73 @p72) :args (@t75 (@list true true false) (@list @t45 @t69 @t65))) % 0.37/0.59 (assume-push @p98 @t76) % 0.37/0.59 (step @p93 :rule instantiate :premises (@p19) :args ((@list @t40 @t39 @t40))) % 0.37/0.59 (step-pop @p99 :rule scope :premises (@p93)) % 0.37/0.59 (step @p94 :rule process_scope :premises (@p99) :args (@t74)) % 0.37/0.59 (step @p96 :rule implies_elim :premises (@p94)) % 0.37/0.59 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p19) :args (false @t72 (@list @t74 @t76))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------