%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO176+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 : n027.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 08:16:33 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO176+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.33 % Computer : n027.cluster.edu % 0.18/0.33 % Model : x86_64 x86_64 % 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.33 % Memory : 8042.1875MB % 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.33 % CPULimit : 300 % 0.18/0.33 % WCLimit : 300 % 0.18/0.33 % DateTime : Mon Jun 1 23:38:51 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t2 () (@list @t1)) % 0.30/0.55 (define @t3 () (@var "Z" $$unsorted)) % 0.30/0.55 (define @t4 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t5 () (tptp.distinct_points @t1 @t3)) % 0.30/0.55 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.30/0.55 (define @t7 () (@list @t1 @t4 @t3)) % 0.30/0.55 (define @t8 () (tptp.distinct_lines @t4 @t3)) % 0.30/0.55 (define @t9 () (tptp.convergent_lines @t1 @t3)) % 0.30/0.55 (define @t10 () (tptp.convergent_lines @t1 @t4)) % 0.30/0.55 (define @t11 () (tptp.line_connecting @t1 @t4)) % 0.30/0.55 (define @t12 () (@list @t1 @t4)) % 0.30/0.55 (define @t13 () (tptp.intersection_point @t1 @t4)) % 0.30/0.55 (define @t14 () (not (tptp.apart_point_and_line @t13 @t1))) % 0.30/0.55 (define @t15 () (forall @t12 (=> @t10 @t14))) % 0.30/0.55 (define @t16 () (not (tptp.apart_point_and_line @t13 @t4))) % 0.30/0.55 (define @t17 () (forall @t12 (=> @t10 @t16))) % 0.30/0.55 (define @t18 () (@var "V" $$unsorted)) % 0.30/0.55 (define @t19 () (@var "U" $$unsorted)) % 0.30/0.55 (define @t20 () (tptp.apart_point_and_line @t1 @t18)) % 0.30/0.55 (define @t21 () (tptp.apart_point_and_line @t1 @t19)) % 0.30/0.55 (define @t22 () (@list @t1 @t4 @t19 @t18)) % 0.30/0.55 (define @t23 () (tptp.apart_point_and_line @t3 @t4)) % 0.30/0.55 (define @t24 () (or @t5 @t23)) % 0.30/0.55 (define @t25 () (tptp.apart_point_and_line @t1 @t4)) % 0.30/0.55 (define @t26 () (forall @t7 (=> @t25 @t24))) % 0.30/0.55 (define @t27 () (tptp.distinct_points @t1 (tptp.intersection_point @t19 @t18))) % 0.30/0.55 (define @t28 () (or @t21 @t20)) % 0.30/0.55 (define @t29 () (tptp.convergent_lines @t19 @t18)) % 0.30/0.55 (define @t30 () (and @t6 @t29 @t28)) % 0.30/0.55 (define @t31 () (forall @t22 (=> @t30 @t27))) % 0.30/0.55 (define @t32 () (not @t31)) % 0.30/0.55 (define @t33 () (not @t25)) % 0.30/0.55 (define @t34 () (or @t33 @t5 @t23)) % 0.30/0.55 (define @t35 () (and (not @t21) (not @t20))) % 0.30/0.55 (define @t36 () (not @t29)) % 0.30/0.55 (define @t37 () (not @t6)) % 0.30/0.55 (define @t38 () (or @t37 @t36 @t35 @t27)) % 0.30/0.55 (define @t39 () (forall @t22 @t38)) % 0.30/0.55 (define @t40 () (@quantifiers_skolemize @t39 3)) % 0.30/0.55 (define @t41 () (@quantifiers_skolemize @t39 2)) % 0.30/0.55 (define @t42 () (@list @t41 @t40)) % 0.30/0.55 (define @t43 () (not @t28)) % 0.30/0.55 (define @t44 () (or @t37 @t36 @t43)) % 0.30/0.55 (define @t45 () (tptp.convergent_lines @t41 @t40)) % 0.30/0.55 (define @t46 () (tptp.intersection_point @t41 @t40)) % 0.30/0.55 (define @t47 () (@quantifiers_skolemize @t39 0)) % 0.30/0.55 (define @t48 () (tptp.distinct_points @t47 @t46)) % 0.30/0.55 (define @t49 () (tptp.apart_point_and_line @t47 @t40)) % 0.30/0.55 (define @t50 () (not @t49)) % 0.30/0.55 (define @t51 () (tptp.apart_point_and_line @t47 @t41)) % 0.30/0.55 (define @t52 () (not @t51)) % 0.30/0.55 (define @t53 () (and @t52 @t50)) % 0.30/0.55 (define @t54 () (not @t45)) % 0.30/0.55 (define @t55 () (or (not (tptp.distinct_points @t47 (@quantifiers_skolemize @t39 1))) @t54 @t53 @t48)) % 0.30/0.55 (define @t56 () (@list true)) % 0.30/0.55 (define @t57 () (@list @t55)) % 0.30/0.55 (define @t58 () (tptp.apart_point_and_line @t46 @t41)) % 0.30/0.55 (define @t59 () (not @t58)) % 0.30/0.55 (define @t60 () (or @t54 @t59)) % 0.30/0.55 (define @t61 () (@list false false)) % 0.30/0.55 (define @t62 () (tptp.apart_point_and_line @t46 @t40)) % 0.30/0.55 (define @t63 () (not @t62)) % 0.30/0.55 (define @t64 () (or @t54 @t63)) % 0.30/0.55 (define @t65 () (or @t50 @t48 @t62)) % 0.30/0.55 (define @t66 () (or @t52 @t48 @t58)) % 0.30/0.55 (define @t67 () (not @t66)) % 0.30/0.55 (define @t68 () (forall @t7 @t34)) % 0.30/0.55 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.30/0.55 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.30/0.55 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.30/0.55 (assume @p4 (forall @t7 (=> @t6 (or @t5 (tptp.distinct_points @t4 @t3))))) % 0.30/0.55 (assume @p5 (forall @t7 (=> (tptp.distinct_lines @t1 @t4) (or (tptp.distinct_lines @t1 @t3) @t8)))) % 0.30/0.55 (assume @p6 (forall @t7 (=> @t10 (or @t9 (tptp.convergent_lines @t4 @t3))))) % 0.30/0.55 (assume @p7 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t1 @t11))))) % 0.30/0.55 (assume @p8 (forall @t12 (=> @t6 (not (tptp.apart_point_and_line @t4 @t11))))) % 0.30/0.55 (assume @p9 @t15) % 0.30/0.55 (assume @p10 @t17) % 0.30/0.55 (assume @p11 (forall @t22 (=> (and @t6 (tptp.distinct_lines @t19 @t18)) (or @t21 @t20 (tptp.apart_point_and_line @t4 @t19) (tptp.apart_point_and_line @t4 @t18))))) % 0.30/0.55 (assume @p12 @t26) % 0.30/0.55 (assume @p13 (forall @t7 (=> @t25 (or @t8 (tptp.apart_point_and_line @t1 @t3))))) % 0.30/0.55 (assume @p14 (forall @t7 (=> @t10 (or @t8 @t9)))) % 0.30/0.55 (assume @p15 @t32) % 0.30/0.55 (assume @p16 true) % 0.30/0.55 (step @p17 :rule aci_norm :args ((= (or @t33 @t24) @t34))) % 0.30/0.55 (step @p18 :rule bool-impl-elim :args (@t25 @t24)) % 0.30/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.30/0.55 (step @p20 :rule cong :premises (@p19) :args (@t26)) % 0.30/0.55 (step @p21 :rule eq_resolve :premises (@p12 @p20)) % 0.30/0.55 (step @p22 :rule bool-impl-elim :args (@t10 @t14)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22) :args (@t15)) % 0.30/0.55 (step @p24 :rule eq_resolve :premises (@p9 @p23)) % 0.30/0.55 (step @p25 :rule instantiate :premises (@p24) :args (@t42)) % 0.30/0.55 (step @p26 :rule aci_norm :args ((= (or (or @t37 @t36 @t35) @t27) @t38))) % 0.30/0.55 (step @p27 :rule refl :args (@t27)) % 0.30/0.55 (step @p28 :rule bool-or-de-morgan :args (@t21 @t20 false)) % 0.30/0.55 (step @p29 :rule refl :args (@t36)) % 0.30/0.55 (step @p30 :rule refl :args (@t37)) % 0.30/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t44)) % 0.30/0.55 (step @p32 :rule aci_norm :args ((= (or @t37 (or @t36 @t43)) @t44))) % 0.30/0.55 (step @p33 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.30/0.55 (step @p34 :rule nary_cong :premises (@p30 @p33) :args ((or @t37 (not (and @t29 @t28))))) % 0.30/0.55 (step @p35 :rule bool-and-de-morgan :args (@t6 @t29 (and @t28))) % 0.30/0.55 (step @p36 :rule trans :premises (@p35 @p34)) % 0.30/0.55 (step @p37 :rule trans :premises (@p36 @p32)) % 0.30/0.55 (step @p38 :rule trans :premises (@p37 @p31)) % 0.30/0.55 (step @p39 :rule nary_cong :premises (@p38 @p27) :args ((or (not @t30) @t27))) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p26)) % 0.30/0.55 (step @p41 :rule bool-impl-elim :args (@t30 @t27)) % 0.30/0.55 (step @p42 :rule trans :premises (@p41 @p40)) % 0.30/0.55 (step @p43 :rule cong :premises (@p42) :args (@t31)) % 0.30/0.55 (step @p44 :rule cong :premises (@p43) :args (@t32)) % 0.30/0.55 (step @p45 :rule eq_resolve :premises (@p15 @p44)) % 0.30/0.55 (step @p46 :rule skolemize :premises (@p45)) % 0.30/0.55 (step @p47 :rule bool-double-not-elim :args (@t45)) % 0.30/0.55 (step @p48 :rule refl :args (@t55)) % 0.30/0.55 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t55 (not @t54)))) % 0.30/0.55 (step @p50 :rule cnf_or_neg :args (@t55 1)) % 0.30/0.55 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.30/0.55 (step @p52 :rule reordering :premises (@p51) :args ((or @t45 @t55))) % 0.30/0.55 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t45 @t56 @t57)) % 0.30/0.55 (step @p54 :rule cnf_or_pos :args (@t60)) % 0.30/0.55 (step @p55 :rule reordering :premises (@p54) :args ((or @t54 @t59 (not @t60)))) % 0.30/0.55 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p25) :args (@t59 @t61 (@list @t45 @t60))) % 0.30/0.55 (step @p57 :rule cnf_or_neg :args (@t55 3)) % 0.30/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p46) :args ((not @t48) @t56 @t57)) % 0.30/0.55 (step @p59 :rule cnf_or_neg :args (@t55 2)) % 0.30/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p46) :args ((not @t53) @t56 @t57)) % 0.30/0.55 (step @p61 :rule instantiate :premises (@p21) :args ((@list @t47 @t40 @t46))) % 0.30/0.55 (step @p62 :rule bool-impl-elim :args (@t10 @t16)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62) :args (@t17)) % 0.30/0.55 (step @p64 :rule eq_resolve :premises (@p10 @p63)) % 0.30/0.55 (step @p65 :rule instantiate :premises (@p64) :args (@t42)) % 0.30/0.55 (step @p66 :rule cnf_or_pos :args (@t64)) % 0.30/0.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t54 @t63 (not @t64)))) % 0.30/0.55 (step @p68 :rule chain_m_resolution :premises (@p67 @p53 @p65) :args (@t63 @t61 (@list @t45 @t64))) % 0.30/0.55 (step @p69 :rule cnf_or_pos :args (@t65)) % 0.30/0.55 (step @p70 :rule reordering :premises (@p69) :args ((or @t50 @t48 @t62 (not @t65)))) % 0.30/0.55 (step @p71 :rule chain_m_resolution :premises (@p70 @p58 @p68 @p61) :args (@t50 (@list true true false) (@list @t48 @t62 @t65))) % 0.30/0.55 (step @p72 :rule bool-double-not-elim :args (@t49)) % 0.30/0.55 (step @p73 :rule bool-double-not-elim :args (@t51)) % 0.30/0.55 (step @p74 :rule refl :args (@t53)) % 0.30/0.55 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((or @t53 (not @t52) (not @t50)))) % 0.30/0.55 (step @p76 :rule cnf_and_neg :args (@t53)) % 0.30/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.30/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t51 @t49 @t53))) % 0.30/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p71 @p60) :args (@t51 (@list true true) (@list @t49 @t53))) % 0.30/0.55 (step @p80 :rule cnf_or_pos :args (@t66)) % 0.30/0.55 (step @p81 :rule reordering :premises (@p80) :args ((or @t52 @t48 @t58 @t67))) % 0.30/0.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p58 @p56) :args (@t67 (@list false true true) (@list @t51 @t48 @t58))) % 0.30/0.55 (assume-push @p89 @t68) % 0.30/0.55 (step @p84 :rule instantiate :premises (@p21) :args ((@list @t47 @t41 @t46))) % 0.30/0.55 (step-pop @p90 :rule scope :premises (@p84)) % 0.30/0.55 (step @p85 :rule process_scope :premises (@p90) :args (@t66)) % 0.30/0.55 (step @p87 :rule implies_elim :premises (@p85)) % 0.30/0.55 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p21) :args (false (@list true false) (@list @t66 @t68))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.56 % cvc5 exiting %------------------------------------------------------------------------------