%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO192+1 : 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 : n022.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 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO192+1 : 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 % 0.17/0.34 % Computer : n022.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 23:39:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.37/0.57 (define @t4 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t5 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.37/0.57 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.37/0.57 (define @t8 () (@list @t1 @t5 @t4)) % 0.37/0.57 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.37/0.57 (define @t10 () (tptp.distinct_lines @t1 @t4)) % 0.37/0.57 (define @t11 () (or @t10 @t9)) % 0.37/0.57 (define @t12 () (tptp.distinct_lines @t1 @t5)) % 0.37/0.57 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.37/0.57 (define @t14 () (tptp.convergent_lines @t1 @t4)) % 0.37/0.57 (define @t15 () (tptp.convergent_lines @t1 @t5)) % 0.37/0.57 (define @t16 () (tptp.line_connecting @t1 @t5)) % 0.37/0.57 (define @t17 () (@list @t1 @t5)) % 0.37/0.57 (define @t18 () (tptp.intersection_point @t1 @t5)) % 0.37/0.57 (define @t19 () (not (tptp.apart_point_and_line @t18 @t1))) % 0.37/0.57 (define @t20 () (forall @t17 (=> @t15 @t19))) % 0.37/0.57 (define @t21 () (not (tptp.apart_point_and_line @t18 @t5))) % 0.37/0.57 (define @t22 () (forall @t17 (=> @t15 @t21))) % 0.37/0.57 (define @t23 () (@var "V" $$unsorted)) % 0.37/0.57 (define @t24 () (@var "U" $$unsorted)) % 0.37/0.57 (define @t25 () (tptp.apart_point_and_line @t1 @t5)) % 0.37/0.57 (define @t26 () (tptp.apart_point_and_line @t1 @t4)) % 0.37/0.57 (define @t27 () (or @t9 @t26)) % 0.37/0.57 (define @t28 () (forall @t8 (=> @t25 @t27))) % 0.37/0.57 (define @t29 () (and @t10 @t9)) % 0.37/0.57 (define @t30 () (tptp.apart_point_and_line @t18 @t4)) % 0.37/0.57 (define @t31 () (=> @t30 @t29)) % 0.37/0.57 (define @t32 () (forall @t8 (=> @t15 @t31))) % 0.37/0.57 (define @t33 () (not @t32)) % 0.37/0.57 (define @t34 () (not @t25)) % 0.37/0.57 (define @t35 () (not @t30)) % 0.37/0.57 (define @t36 () (not @t15)) % 0.37/0.57 (define @t37 () (or @t36 @t35 @t29)) % 0.37/0.57 (define @t38 () (forall @t8 @t37)) % 0.37/0.57 (define @t39 () (@quantifiers_skolemize @t38 0)) % 0.37/0.57 (define @t40 () (@quantifiers_skolemize @t38 2)) % 0.37/0.57 (define @t41 () (@quantifiers_skolemize @t38 1)) % 0.37/0.57 (define @t42 () (tptp.intersection_point @t39 @t41)) % 0.37/0.57 (define @t43 () (@list @t39 @t41)) % 0.37/0.57 (define @t44 () (tptp.convergent_lines @t39 @t41)) % 0.37/0.57 (define @t45 () (tptp.distinct_lines @t41 @t40)) % 0.37/0.57 (define @t46 () (tptp.distinct_lines @t39 @t40)) % 0.37/0.57 (define @t47 () (and @t46 @t45)) % 0.37/0.57 (define @t48 () (tptp.apart_point_and_line @t42 @t40)) % 0.37/0.57 (define @t49 () (not @t48)) % 0.37/0.57 (define @t50 () (not @t44)) % 0.37/0.57 (define @t51 () (or @t50 @t49 @t47)) % 0.37/0.57 (define @t52 () (@list true)) % 0.37/0.57 (define @t53 () (@list @t51)) % 0.37/0.57 (define @t54 () (tptp.apart_point_and_line @t42 @t39)) % 0.37/0.57 (define @t55 () (not @t54)) % 0.37/0.57 (define @t56 () (or @t50 @t55)) % 0.37/0.57 (define @t57 () (@list false false)) % 0.37/0.57 (define @t58 () (tptp.distinct_lines @t40 @t39)) % 0.37/0.57 (define @t59 () (or @t49 @t58 @t54)) % 0.37/0.57 (define @t60 () (@list false true false)) % 0.37/0.57 (define @t61 () (not @t12)) % 0.37/0.57 (define @t62 () (tptp.distinct_lines @t40 @t40)) % 0.37/0.57 (define @t63 () (not @t58)) % 0.37/0.57 (define @t64 () (or @t63 @t62 @t46)) % 0.37/0.57 (define @t65 () (tptp.apart_point_and_line @t42 @t41)) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (or @t50 @t66)) % 0.37/0.57 (define @t68 () (tptp.distinct_lines @t40 @t41)) % 0.37/0.57 (define @t69 () (or @t49 @t68 @t65)) % 0.37/0.57 (define @t70 () (not @t68)) % 0.37/0.57 (define @t71 () (or @t70 @t62 @t45)) % 0.37/0.57 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.37/0.57 (assume @p2 @t3) % 0.37/0.57 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.37/0.57 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.37/0.57 (assume @p5 @t13) % 0.37/0.57 (assume @p6 (forall @t8 (=> @t15 (or @t14 (tptp.convergent_lines @t5 @t4))))) % 0.37/0.57 (assume @p7 (forall @t17 (=> @t7 (not (tptp.apart_point_and_line @t1 @t16))))) % 0.37/0.57 (assume @p8 (forall @t17 (=> @t7 (not (tptp.apart_point_and_line @t5 @t16))))) % 0.37/0.57 (assume @p9 @t20) % 0.37/0.57 (assume @p10 @t22) % 0.37/0.57 (assume @p11 (forall (@list @t1 @t5 @t24 @t23) (=> (and @t7 (tptp.distinct_lines @t24 @t23)) (or (tptp.apart_point_and_line @t1 @t24) (tptp.apart_point_and_line @t1 @t23) (tptp.apart_point_and_line @t5 @t24) (tptp.apart_point_and_line @t5 @t23))))) % 0.37/0.57 (assume @p12 (forall @t8 (=> @t25 (or @t6 (tptp.apart_point_and_line @t4 @t5))))) % 0.37/0.57 (assume @p13 @t28) % 0.37/0.57 (assume @p14 (forall @t8 (=> @t15 (or @t9 @t14)))) % 0.37/0.57 (assume @p15 @t33) % 0.37/0.57 (assume @p16 true) % 0.37/0.57 (step @p17 :rule aci_norm :args ((= (or @t34 @t27) (or @t34 @t9 @t26)))) % 0.37/0.57 (step @p18 :rule bool-impl-elim :args (@t25 @t27)) % 0.37/0.57 (step @p19 :rule trans :premises (@p18 @p17)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19) :args (@t28)) % 0.37/0.57 (step @p21 :rule eq_resolve :premises (@p13 @p20)) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t42 @t40 @t39))) % 0.37/0.57 (step @p23 :rule bool-impl-elim :args (@t15 @t19)) % 0.37/0.57 (step @p24 :rule cong :premises (@p23) :args (@t20)) % 0.37/0.57 (step @p25 :rule eq_resolve :premises (@p9 @p24)) % 0.37/0.57 (step @p26 :rule instantiate :premises (@p25) :args (@t43)) % 0.37/0.57 (step @p27 :rule aci_norm :args ((= (or @t36 (or @t35 @t29)) @t37))) % 0.37/0.57 (step @p28 :rule bool-impl-elim :args (@t30 @t29)) % 0.37/0.57 (step @p29 :rule refl :args (@t36)) % 0.37/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t36 @t31))) % 0.37/0.57 (step @p31 :rule trans :premises (@p30 @p27)) % 0.37/0.57 (step @p32 :rule bool-impl-elim :args (@t15 @t31)) % 0.37/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t32)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 0.37/0.57 (step @p36 :rule eq_resolve :premises (@p15 @p35)) % 0.37/0.57 (step @p37 :rule skolemize :premises (@p36)) % 0.37/0.57 (step @p38 :rule bool-double-not-elim :args (@t44)) % 0.37/0.57 (step @p39 :rule refl :args (@t51)) % 0.37/0.57 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t51 (not @t50)))) % 0.37/0.57 (step @p41 :rule cnf_or_neg :args (@t51 0)) % 0.37/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.37/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t44 @t51))) % 0.37/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t44 @t52 @t53)) % 0.37/0.57 (step @p45 :rule cnf_or_pos :args (@t56)) % 0.37/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t50 @t55 (not @t56)))) % 0.37/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p26) :args (@t55 @t57 (@list @t44 @t56))) % 0.37/0.57 (step @p48 :rule bool-double-not-elim :args (@t48)) % 0.37/0.57 (step @p49 :rule nary_cong :premises (@p39 @p48) :args ((or @t51 (not @t49)))) % 0.37/0.57 (step @p50 :rule cnf_or_neg :args (@t51 1)) % 0.37/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.37/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t48 @t51))) % 0.37/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p37) :args (@t48 @t52 @t53)) % 0.37/0.57 (step @p54 :rule cnf_or_pos :args (@t59)) % 0.37/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t49 @t54 @t58 (not @t59)))) % 0.37/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p47 @p22) :args (@t58 @t60 (@list @t48 @t54 @t59))) % 0.37/0.57 (step @p57 :rule aci_norm :args ((= (or @t61 @t11) (or @t61 @t10 @t9)))) % 0.37/0.57 (step @p58 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59) :args (@t13)) % 0.37/0.57 (step @p61 :rule eq_resolve :premises (@p5 @p60)) % 0.37/0.57 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t40 @t39 @t40))) % 0.37/0.57 (step @p63 :rule cnf_or_pos :args (@t64)) % 0.37/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t46 @t63 @t62 (not @t64)))) % 0.37/0.57 (step @p65 :rule instantiate :premises (@p21) :args ((@list @t42 @t40 @t41))) % 0.37/0.57 (step @p66 :rule bool-impl-elim :args (@t15 @t21)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66) :args (@t22)) % 0.37/0.57 (step @p68 :rule eq_resolve :premises (@p10 @p67)) % 0.37/0.57 (step @p69 :rule instantiate :premises (@p68) :args (@t43)) % 0.37/0.57 (step @p70 :rule cnf_or_pos :args (@t67)) % 0.37/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t50 @t66 (not @t67)))) % 0.37/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p44 @p69) :args (@t66 @t57 (@list @t44 @t67))) % 0.37/0.57 (step @p73 :rule cnf_or_pos :args (@t69)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t49 @t65 @t68 (not @t69)))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p53 @p72 @p65) :args (@t68 @t60 (@list @t48 @t65 @t69))) % 0.37/0.57 (step @p76 :rule instantiate :premises (@p61) :args ((@list @t40 @t41 @t40))) % 0.37/0.57 (step @p77 :rule cnf_or_pos :args (@t71)) % 0.37/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t45 @t62 @t70 (not @t71)))) % 0.37/0.57 (step @p79 :rule cnf_or_neg :args (@t51 2)) % 0.37/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p37) :args ((not @t47) @t52 @t53)) % 0.37/0.57 (step @p81 :rule cnf_and_neg :args (@t47)) % 0.37/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p80 @p78 @p76 @p75 @p64 @p62 @p56) :args (@t62 (@list true false false false false false false) (@list @t47 @t45 @t71 @t68 @t46 @t64 @t58))) % 0.37/0.57 (assume-push @p89 @t3) % 0.37/0.57 (step @p84 :rule instantiate :premises (@p2) :args ((@list @t40))) % 0.37/0.57 (step-pop @p90 :rule scope :premises (@p84)) % 0.37/0.57 (step @p85 :rule process_scope :premises (@p90) :args ((not @t62))) % 0.37/0.57 (step @p87 :rule implies_elim :premises (@p85)) % 0.37/0.57 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p2) :args (false @t57 (@list @t62 @t3))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------