%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO196+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 : n017.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 08:16:40 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO196+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 % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 23:38:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t2 () (@list @t1)) % 0.38/0.62 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.62 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.62 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.62 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.62 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.62 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.62 (define @t11 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.62 (define @t12 () (tptp.intersection_point @t1 @t5)) % 0.38/0.62 (define @t13 () (tptp.distinct_points @t4 @t12)) % 0.38/0.62 (define @t14 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.62 (define @t15 () (tptp.apart_point_and_line @t4 @t1)) % 0.38/0.62 (define @t16 () (or @t15 @t14)) % 0.38/0.62 (define @t17 () (=> @t16 @t13)) % 0.38/0.62 (define @t18 () (forall @t8 (=> @t11 @t17))) % 0.38/0.62 (define @t19 () (@var "V" $$unsorted)) % 0.38/0.62 (define @t20 () (tptp.apart_point_and_line @t5 @t19)) % 0.38/0.62 (define @t21 () (@var "U" $$unsorted)) % 0.38/0.62 (define @t22 () (tptp.apart_point_and_line @t5 @t21)) % 0.38/0.62 (define @t23 () (tptp.apart_point_and_line @t1 @t19)) % 0.38/0.62 (define @t24 () (tptp.apart_point_and_line @t1 @t21)) % 0.38/0.62 (define @t25 () (or @t24 @t23 @t22 @t20)) % 0.38/0.62 (define @t26 () (tptp.distinct_lines @t21 @t19)) % 0.38/0.62 (define @t27 () (and @t7 @t26)) % 0.38/0.62 (define @t28 () (@list @t1 @t5 @t21 @t19)) % 0.38/0.62 (define @t29 () (forall @t28 (=> @t27 @t25))) % 0.38/0.62 (define @t30 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.62 (define @t31 () (forall (@list @t1 @t5) (=> @t11 @t10))) % 0.38/0.62 (define @t32 () (tptp.intersection_point @t21 @t19)) % 0.38/0.62 (define @t33 () (and (not (tptp.apart_point_and_line @t32 @t1)) (not (tptp.apart_point_and_line @t32 @t5)))) % 0.38/0.62 (define @t34 () (tptp.apart_point_and_line @t12 @t19)) % 0.38/0.62 (define @t35 () (not @t34)) % 0.38/0.62 (define @t36 () (tptp.apart_point_and_line @t12 @t21)) % 0.38/0.62 (define @t37 () (not @t36)) % 0.38/0.62 (define @t38 () (tptp.convergent_lines @t21 @t19)) % 0.38/0.62 (define @t39 () (and @t11 @t38 @t37 @t35)) % 0.38/0.62 (define @t40 () (forall @t28 (=> @t39 @t33))) % 0.38/0.62 (define @t41 () (not @t40)) % 0.38/0.62 (define @t42 () (and (not @t15) (not @t14))) % 0.38/0.62 (define @t43 () (not @t11)) % 0.38/0.62 (define @t44 () (not @t38)) % 0.38/0.62 (define @t45 () (or @t43 @t44 @t36 @t34 @t33)) % 0.38/0.62 (define @t46 () (forall @t28 @t45)) % 0.38/0.62 (define @t47 () (@quantifiers_skolemize @t46 3)) % 0.38/0.62 (define @t48 () (@quantifiers_skolemize @t46 2)) % 0.38/0.62 (define @t49 () (tptp.intersection_point @t48 @t47)) % 0.38/0.62 (define @t50 () (tptp.apart_point_and_line @t49 @t47)) % 0.38/0.62 (define @t51 () (not @t50)) % 0.38/0.62 (define @t52 () (tptp.apart_point_and_line @t49 @t48)) % 0.38/0.62 (define @t53 () (not @t52)) % 0.38/0.62 (define @t54 () (and @t53 @t51)) % 0.38/0.62 (define @t55 () (not @t54)) % 0.38/0.62 (define @t56 () (not @t35)) % 0.38/0.62 (define @t57 () (not @t37)) % 0.38/0.62 (define @t58 () (or @t43 @t44 @t57 @t56)) % 0.38/0.62 (define @t59 () (@quantifiers_skolemize @t46 1)) % 0.38/0.62 (define @t60 () (@quantifiers_skolemize @t46 0)) % 0.38/0.62 (define @t61 () (and (not (tptp.apart_point_and_line @t49 @t60)) (not (tptp.apart_point_and_line @t49 @t59)))) % 0.38/0.62 (define @t62 () (tptp.intersection_point @t60 @t59)) % 0.38/0.62 (define @t63 () (tptp.apart_point_and_line @t62 @t47)) % 0.38/0.62 (define @t64 () (tptp.apart_point_and_line @t62 @t48)) % 0.38/0.62 (define @t65 () (tptp.convergent_lines @t48 @t47)) % 0.38/0.62 (define @t66 () (not @t65)) % 0.38/0.62 (define @t67 () (tptp.convergent_lines @t60 @t59)) % 0.38/0.62 (define @t68 () (not @t67)) % 0.38/0.62 (define @t69 () (or @t68 @t66 @t64 @t63 @t61)) % 0.38/0.62 (define @t70 () (@list true)) % 0.38/0.62 (define @t71 () (@list @t69)) % 0.38/0.62 (define @t72 () (tptp.distinct_lines @t48 @t47)) % 0.38/0.62 (define @t73 () (or @t66 @t72)) % 0.38/0.62 (define @t74 () (@list false false)) % 0.38/0.62 (define @t75 () (tptp.distinct_points @t49 @t62)) % 0.38/0.62 (define @t76 () (or @t68 @t61 @t75)) % 0.38/0.62 (define @t77 () (@list false true false)) % 0.38/0.62 (define @t78 () (not @t26)) % 0.38/0.62 (define @t79 () (not @t7)) % 0.38/0.62 (define @t80 () (not @t72)) % 0.38/0.62 (define @t81 () (not @t75)) % 0.38/0.62 (define @t82 () (or @t81 @t80 @t52 @t50 @t64 @t63)) % 0.38/0.62 (define @t83 () (tptp.distinct_points @t49 @t49)) % 0.38/0.62 (define @t84 () (or @t66 @t54 @t83)) % 0.38/0.62 (assume @p1 @t3) % 0.38/0.62 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.62 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.62 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.62 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.62 (assume @p6 (forall @t8 (=> @t11 (or (tptp.convergent_lines @t1 @t4) (tptp.convergent_lines @t5 @t4))))) % 0.38/0.62 (assume @p7 (forall @t8 (=> @t7 (=> (tptp.apart_point_and_line @t4 (tptp.line_connecting @t1 @t5)) (and (tptp.distinct_points @t4 @t1) (tptp.distinct_points @t4 @t5)))))) % 0.38/0.62 (assume @p8 @t18) % 0.38/0.62 (assume @p9 @t29) % 0.38/0.62 (assume @p10 (forall @t8 (=> @t30 (or @t6 @t14)))) % 0.38/0.62 (assume @p11 (forall @t8 (=> @t30 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.38/0.62 (assume @p12 @t31) % 0.38/0.62 (assume @p13 @t41) % 0.38/0.62 (assume @p14 true) % 0.38/0.62 (step @p15 :rule aci_norm :args ((= (or @t43 (or @t42 @t13)) (or @t43 @t42 @t13)))) % 0.38/0.62 (step @p16 :rule refl :args (@t13)) % 0.38/0.62 (step @p17 :rule bool-or-de-morgan :args (@t15 @t14 false)) % 0.38/0.62 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t16) @t13))) % 0.38/0.62 (step @p19 :rule bool-impl-elim :args (@t16 @t13)) % 0.38/0.62 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.62 (step @p21 :rule refl :args (@t43)) % 0.38/0.62 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t43 @t17))) % 0.38/0.62 (step @p23 :rule trans :premises (@p22 @p15)) % 0.38/0.62 (step @p24 :rule bool-impl-elim :args (@t11 @t17)) % 0.38/0.62 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.62 (step @p26 :rule cong :premises (@p25) :args (@t18)) % 0.38/0.62 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.38/0.62 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t48 @t47 @t49))) % 0.38/0.62 (step @p29 :rule cnf_and_pos :args (@t54 0)) % 0.38/0.62 (step @p30 :rule reordering :premises (@p29) :args ((or @t53 @t55))) % 0.38/0.62 (step @p31 :rule cnf_and_pos :args (@t54 1)) % 0.38/0.62 (step @p32 :rule reordering :premises (@p31) :args ((or @t51 @t55))) % 0.38/0.62 (step @p33 :rule aci_norm :args ((= (or (or @t43 @t44 @t36 @t34) @t33) @t45))) % 0.38/0.62 (step @p34 :rule refl :args (@t33)) % 0.38/0.62 (step @p35 :rule bool-double-not-elim :args (@t34)) % 0.38/0.62 (step @p36 :rule bool-double-not-elim :args (@t36)) % 0.38/0.62 (step @p37 :rule refl :args (@t44)) % 0.38/0.62 (step @p38 :rule nary_cong :premises (@p21 @p37 @p36 @p35) :args (@t58)) % 0.38/0.62 (step @p39 :rule aci_norm :args ((= (or @t43 (or @t44 (or @t57 @t56))) @t58))) % 0.38/0.62 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.62 (step @p41 :rule bool-and-de-morgan :args (@t37 @t35 true)) % 0.38/0.62 (step @p42 :rule nary_cong :premises (@p37 @p41) :args ((or @t44 (not (and @t37 @t35))))) % 0.38/0.62 (step @p43 :rule bool-and-de-morgan :args (@t38 @t37 (and @t35))) % 0.38/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.62 (step @p45 :rule nary_cong :premises (@p21 @p44) :args ((or @t43 (not (and @t38 @t37 @t35))))) % 0.38/0.62 (step @p46 :rule bool-and-de-morgan :args (@t11 @t38 (and @t37 @t35))) % 0.38/0.62 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.62 (step @p48 :rule trans :premises (@p47 @p40)) % 0.38/0.62 (step @p49 :rule nary_cong :premises (@p48 @p34) :args ((or (not @t39) @t33))) % 0.38/0.62 (step @p50 :rule trans :premises (@p49 @p33)) % 0.38/0.62 (step @p51 :rule bool-impl-elim :args (@t39 @t33)) % 0.38/0.62 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.62 (step @p53 :rule cong :premises (@p52) :args (@t40)) % 0.38/0.62 (step @p54 :rule cong :premises (@p53) :args (@t41)) % 0.38/0.62 (step @p55 :rule eq_resolve :premises (@p13 @p54)) % 0.38/0.62 (step @p56 :rule skolemize :premises (@p55)) % 0.38/0.62 (step @p57 :rule cnf_or_neg :args (@t69 2)) % 0.38/0.62 (step @p58 :rule chain_m_resolution :premises (@p57 @p56) :args ((not @t64) @t70 @t71)) % 0.38/0.62 (step @p59 :rule cnf_or_neg :args (@t69 3)) % 0.38/0.62 (step @p60 :rule chain_m_resolution :premises (@p59 @p56) :args ((not @t63) @t70 @t71)) % 0.38/0.62 (step @p61 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.62 (step @p62 :rule cong :premises (@p61) :args (@t31)) % 0.38/0.62 (step @p63 :rule eq_resolve :premises (@p12 @p62)) % 0.38/0.62 (step @p64 :rule instantiate :premises (@p63) :args ((@list @t48 @t47))) % 0.38/0.62 (step @p65 :rule bool-double-not-elim :args (@t65)) % 0.38/0.62 (step @p66 :rule refl :args (@t69)) % 0.38/0.62 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t69 (not @t66)))) % 0.38/0.62 (step @p68 :rule cnf_or_neg :args (@t69 1)) % 0.38/0.62 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.38/0.62 (step @p70 :rule reordering :premises (@p69) :args ((or @t65 @t69))) % 0.38/0.62 (step @p71 :rule chain_m_resolution :premises (@p70 @p56) :args (@t65 @t70 @t71)) % 0.38/0.62 (step @p72 :rule cnf_or_pos :args (@t73)) % 0.38/0.62 (step @p73 :rule reordering :premises (@p72) :args ((or @t66 @t72 (not @t73)))) % 0.38/0.62 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p64) :args (@t72 @t74 (@list @t65 @t73))) % 0.38/0.62 (step @p75 :rule instantiate :premises (@p27) :args ((@list @t60 @t59 @t49))) % 0.38/0.62 (step @p76 :rule cnf_or_neg :args (@t69 4)) % 0.38/0.62 (step @p77 :rule chain_m_resolution :premises (@p76 @p56) :args ((not @t61) @t70 @t71)) % 0.38/0.62 (step @p78 :rule bool-double-not-elim :args (@t67)) % 0.38/0.62 (step @p79 :rule nary_cong :premises (@p66 @p78) :args ((or @t69 (not @t68)))) % 0.38/0.62 (step @p80 :rule cnf_or_neg :args (@t69 0)) % 0.38/0.62 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.38/0.62 (step @p82 :rule reordering :premises (@p81) :args ((or @t67 @t69))) % 0.38/0.62 (step @p83 :rule chain_m_resolution :premises (@p82 @p56) :args (@t67 @t70 @t71)) % 0.38/0.62 (step @p84 :rule cnf_or_pos :args (@t76)) % 0.38/0.62 (step @p85 :rule reordering :premises (@p84) :args ((or @t68 @t61 @t75 (not @t76)))) % 0.38/0.62 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p77 @p75) :args (@t75 @t77 (@list @t67 @t61 @t76))) % 0.38/0.62 (step @p87 :rule aci_norm :args ((= (or (or @t79 @t78) @t25) (or @t79 @t78 @t24 @t23 @t22 @t20)))) % 0.38/0.62 (step @p88 :rule refl :args (@t25)) % 0.38/0.62 (step @p89 :rule bool-and-de-morgan :args (@t7 @t26 true)) % 0.38/0.62 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t27) @t25))) % 0.38/0.62 (step @p91 :rule trans :premises (@p90 @p87)) % 0.38/0.62 (step @p92 :rule bool-impl-elim :args (@t27 @t25)) % 0.38/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.62 (step @p94 :rule cong :premises (@p93) :args (@t29)) % 0.38/0.62 (step @p95 :rule eq_resolve :premises (@p9 @p94)) % 0.38/0.62 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t49 @t62 @t48 @t47))) % 0.38/0.62 (step @p97 :rule cnf_or_pos :args (@t82)) % 0.38/0.62 (step @p98 :rule reordering :premises (@p97) :args ((or @t64 @t63 @t80 @t52 @t81 @t50 (not @t82)))) % 0.38/0.62 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p86 @p74 @p60 @p58 @p32 @p30) :args (@t55 (@list false false false true true true true) (@list @t82 @t75 @t72 @t63 @t64 @t50 @t52))) % 0.38/0.62 (step @p100 :rule cnf_or_pos :args (@t84)) % 0.38/0.62 (step @p101 :rule reordering :premises (@p100) :args ((or @t66 @t83 @t54 (not @t84)))) % 0.38/0.62 (step @p102 :rule chain_m_resolution :premises (@p101 @p71 @p99 @p28) :args (@t83 @t77 (@list @t65 @t54 @t84))) % 0.38/0.62 (assume-push @p109 @t3) % 0.38/0.62 (step @p104 :rule instantiate :premises (@p1) :args ((@list @t49))) % 0.38/0.62 (step-pop @p110 :rule scope :premises (@p104)) % 0.38/0.62 (step @p105 :rule process_scope :premises (@p110) :args ((not @t83))) % 0.38/0.62 (step @p107 :rule implies_elim :premises (@p105)) % 0.38/0.62 (step @p108 false :rule chain_m_resolution :premises (@p107 @p102 @p1) :args (false @t74 (@list @t83 @t3))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------