%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO198+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 : n026.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 08:16:41 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO198+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 % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:40:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t2 () (@list @t1)) % 0.38/0.60 (define @t3 () (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.60 (define @t4 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t5 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t6 () (tptp.distinct_points @t1 @t4)) % 0.38/0.60 (define @t7 () (tptp.distinct_points @t1 @t5)) % 0.38/0.60 (define @t8 () (@list @t1 @t5 @t4)) % 0.38/0.60 (define @t9 () (tptp.distinct_lines @t5 @t4)) % 0.38/0.60 (define @t10 () (tptp.distinct_lines @t1 @t5)) % 0.38/0.60 (define @t11 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.60 (define @t12 () (tptp.convergent_lines @t1 @t5)) % 0.38/0.60 (define @t13 () (tptp.intersection_point @t1 @t5)) % 0.38/0.60 (define @t14 () (tptp.distinct_points @t4 @t13)) % 0.38/0.60 (define @t15 () (tptp.apart_point_and_line @t4 @t5)) % 0.38/0.60 (define @t16 () (tptp.apart_point_and_line @t4 @t1)) % 0.38/0.60 (define @t17 () (or @t16 @t15)) % 0.38/0.60 (define @t18 () (=> @t17 @t14)) % 0.38/0.60 (define @t19 () (forall @t8 (=> @t12 @t18))) % 0.38/0.60 (define @t20 () (@var "V" $$unsorted)) % 0.38/0.60 (define @t21 () (tptp.apart_point_and_line @t5 @t20)) % 0.38/0.60 (define @t22 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t23 () (tptp.apart_point_and_line @t5 @t22)) % 0.38/0.60 (define @t24 () (tptp.apart_point_and_line @t1 @t20)) % 0.38/0.60 (define @t25 () (tptp.apart_point_and_line @t1 @t22)) % 0.38/0.60 (define @t26 () (or @t25 @t24 @t23 @t21)) % 0.38/0.60 (define @t27 () (tptp.distinct_lines @t22 @t20)) % 0.38/0.60 (define @t28 () (and @t7 @t27)) % 0.38/0.60 (define @t29 () (forall (@list @t1 @t5 @t22 @t20) (=> @t28 @t26))) % 0.38/0.60 (define @t30 () (tptp.apart_point_and_line @t1 @t5)) % 0.38/0.60 (define @t31 () (forall (@list @t1 @t5) (=> @t12 @t10))) % 0.38/0.60 (define @t32 () (not (tptp.apart_point_and_line (tptp.intersection_point @t1 @t4) @t5))) % 0.38/0.60 (define @t33 () (tptp.apart_point_and_line @t13 @t4)) % 0.38/0.60 (define @t34 () (not @t33)) % 0.38/0.60 (define @t35 () (tptp.convergent_lines @t4 @t5)) % 0.38/0.60 (define @t36 () (and @t12 @t35 @t11 @t34)) % 0.38/0.60 (define @t37 () (forall @t8 (=> @t36 @t32))) % 0.38/0.60 (define @t38 () (not @t37)) % 0.38/0.60 (define @t39 () (and (not @t16) (not @t15))) % 0.38/0.60 (define @t40 () (not @t12)) % 0.38/0.60 (define @t41 () (not @t11)) % 0.38/0.60 (define @t42 () (not @t35)) % 0.38/0.60 (define @t43 () (or @t40 @t42 @t41 @t33 @t32)) % 0.38/0.60 (define @t44 () (forall @t8 @t43)) % 0.38/0.60 (define @t45 () (@quantifiers_skolemize @t44 2)) % 0.38/0.60 (define @t46 () (@quantifiers_skolemize @t44 0)) % 0.38/0.60 (define @t47 () (tptp.intersection_point @t46 @t45)) % 0.38/0.60 (define @t48 () (tptp.apart_point_and_line @t47 @t45)) % 0.38/0.60 (define @t49 () (not @t48)) % 0.38/0.60 (define @t50 () (tptp.apart_point_and_line @t47 @t46)) % 0.38/0.60 (define @t51 () (not @t50)) % 0.38/0.60 (define @t52 () (and @t51 @t49)) % 0.38/0.60 (define @t53 () (not @t52)) % 0.38/0.60 (define @t54 () (not @t34)) % 0.38/0.60 (define @t55 () (or @t40 @t42 @t41 @t54)) % 0.38/0.60 (define @t56 () (@quantifiers_skolemize @t44 1)) % 0.38/0.60 (define @t57 () (tptp.apart_point_and_line @t47 @t56)) % 0.38/0.60 (define @t58 () (not @t57)) % 0.38/0.60 (define @t59 () (tptp.intersection_point @t46 @t56)) % 0.38/0.60 (define @t60 () (tptp.apart_point_and_line @t59 @t45)) % 0.38/0.60 (define @t61 () (tptp.convergent_lines @t46 @t45)) % 0.38/0.60 (define @t62 () (not @t61)) % 0.38/0.60 (define @t63 () (tptp.convergent_lines @t46 @t56)) % 0.38/0.60 (define @t64 () (not @t63)) % 0.38/0.60 (define @t65 () (or @t64 (not (tptp.convergent_lines @t45 @t56)) @t62 @t60 @t58)) % 0.38/0.60 (define @t66 () (@list true)) % 0.38/0.60 (define @t67 () (@list @t65)) % 0.38/0.60 (define @t68 () (tptp.distinct_lines @t46 @t45)) % 0.38/0.60 (define @t69 () (or @t62 @t68)) % 0.38/0.60 (define @t70 () (@list false false)) % 0.38/0.60 (define @t71 () (tptp.distinct_points @t59 @t59)) % 0.38/0.60 (define @t72 () (tptp.apart_point_and_line @t59 @t46)) % 0.38/0.60 (define @t73 () (not @t72)) % 0.38/0.60 (define @t74 () (and @t73 (not (tptp.apart_point_and_line @t59 @t56)))) % 0.38/0.60 (define @t75 () (or @t64 @t74 @t71)) % 0.38/0.60 (define @t76 () (@list false true false)) % 0.38/0.60 (define @t77 () (@list false)) % 0.38/0.60 (define @t78 () (and @t51 @t58)) % 0.38/0.60 (define @t79 () (not @t78)) % 0.38/0.60 (define @t80 () (tptp.distinct_points @t47 @t59)) % 0.38/0.60 (define @t81 () (or @t64 @t78 @t80)) % 0.38/0.60 (define @t82 () (not @t27)) % 0.38/0.60 (define @t83 () (not @t7)) % 0.38/0.60 (define @t84 () (not @t68)) % 0.38/0.60 (define @t85 () (not @t80)) % 0.38/0.60 (define @t86 () (or @t85 @t84 @t50 @t48 @t72 @t60)) % 0.38/0.60 (define @t87 () (tptp.distinct_points @t47 @t47)) % 0.38/0.60 (define @t88 () (or @t62 @t52 @t87)) % 0.38/0.60 (assume @p1 @t3) % 0.38/0.60 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.60 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.60 (assume @p4 (forall @t8 (=> @t7 (or @t6 (tptp.distinct_points @t5 @t4))))) % 0.38/0.60 (assume @p5 (forall @t8 (=> @t10 (or (tptp.distinct_lines @t1 @t4) @t9)))) % 0.38/0.60 (assume @p6 (forall @t8 (=> @t12 (or @t11 (tptp.convergent_lines @t5 @t4))))) % 0.38/0.60 (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)))))) % 0.38/0.60 (assume @p8 @t19) % 0.38/0.60 (assume @p9 @t29) % 0.38/0.60 (assume @p10 (forall @t8 (=> @t30 (or @t6 @t15)))) % 0.38/0.60 (assume @p11 (forall @t8 (=> @t30 (or @t9 (tptp.apart_point_and_line @t1 @t4))))) % 0.38/0.60 (assume @p12 @t31) % 0.38/0.60 (assume @p13 @t38) % 0.38/0.60 (assume @p14 true) % 0.38/0.60 (step @p15 :rule aci_norm :args ((= (or @t40 (or @t39 @t14)) (or @t40 @t39 @t14)))) % 0.38/0.60 (step @p16 :rule refl :args (@t14)) % 0.38/0.60 (step @p17 :rule bool-or-de-morgan :args (@t16 @t15 false)) % 0.38/0.60 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t17) @t14))) % 0.38/0.60 (step @p19 :rule bool-impl-elim :args (@t17 @t14)) % 0.38/0.60 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.60 (step @p21 :rule refl :args (@t40)) % 0.38/0.60 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t40 @t18))) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p15)) % 0.38/0.60 (step @p24 :rule bool-impl-elim :args (@t12 @t18)) % 0.38/0.60 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.60 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.38/0.60 (step @p27 :rule eq_resolve :premises (@p8 @p26)) % 0.38/0.60 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t46 @t45 @t47))) % 0.38/0.60 (step @p29 :rule cnf_and_pos :args (@t52 0)) % 0.38/0.60 (step @p30 :rule reordering :premises (@p29) :args ((or @t51 @t53))) % 0.38/0.60 (step @p31 :rule cnf_and_pos :args (@t52 1)) % 0.38/0.60 (step @p32 :rule reordering :premises (@p31) :args ((or @t49 @t53))) % 0.38/0.60 (step @p33 :rule aci_norm :args ((= (or (or @t40 @t42 @t41 @t33) @t32) @t43))) % 0.38/0.60 (step @p34 :rule refl :args (@t32)) % 0.38/0.60 (step @p35 :rule bool-double-not-elim :args (@t33)) % 0.38/0.60 (step @p36 :rule refl :args (@t41)) % 0.38/0.60 (step @p37 :rule refl :args (@t42)) % 0.38/0.60 (step @p38 :rule nary_cong :premises (@p21 @p37 @p36 @p35) :args (@t55)) % 0.38/0.60 (step @p39 :rule aci_norm :args ((= (or @t40 (or @t42 (or @t41 @t54))) @t55))) % 0.38/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.60 (step @p41 :rule bool-and-de-morgan :args (@t11 @t34 true)) % 0.38/0.60 (step @p42 :rule nary_cong :premises (@p37 @p41) :args ((or @t42 (not (and @t11 @t34))))) % 0.38/0.60 (step @p43 :rule bool-and-de-morgan :args (@t35 @t11 (and @t34))) % 0.38/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.60 (step @p45 :rule nary_cong :premises (@p21 @p44) :args ((or @t40 (not (and @t35 @t11 @t34))))) % 0.38/0.60 (step @p46 :rule bool-and-de-morgan :args (@t12 @t35 (and @t11 @t34))) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.60 (step @p48 :rule trans :premises (@p47 @p40)) % 0.38/0.60 (step @p49 :rule nary_cong :premises (@p48 @p34) :args ((or (not @t36) @t32))) % 0.38/0.60 (step @p50 :rule trans :premises (@p49 @p33)) % 0.38/0.60 (step @p51 :rule bool-impl-elim :args (@t36 @t32)) % 0.38/0.60 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/0.60 (step @p53 :rule cong :premises (@p52) :args (@t37)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53) :args (@t38)) % 0.38/0.60 (step @p55 :rule eq_resolve :premises (@p13 @p54)) % 0.38/0.60 (step @p56 :rule skolemize :premises (@p55)) % 0.38/0.60 (step @p57 :rule cnf_or_neg :args (@t65 3)) % 0.38/0.60 (step @p58 :rule chain_m_resolution :premises (@p57 @p56) :args ((not @t60) @t66 @t67)) % 0.38/0.60 (step @p59 :rule bool-impl-elim :args (@t12 @t10)) % 0.38/0.60 (step @p60 :rule cong :premises (@p59) :args (@t31)) % 0.38/0.60 (step @p61 :rule eq_resolve :premises (@p12 @p60)) % 0.38/0.60 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t46 @t45))) % 0.38/0.60 (step @p63 :rule bool-double-not-elim :args (@t61)) % 0.38/0.60 (step @p64 :rule refl :args (@t65)) % 0.38/0.60 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t65 (not @t62)))) % 0.38/0.60 (step @p66 :rule cnf_or_neg :args (@t65 2)) % 0.38/0.60 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.38/0.60 (step @p68 :rule reordering :premises (@p67) :args ((or @t61 @t65))) % 0.38/0.60 (step @p69 :rule chain_m_resolution :premises (@p68 @p56) :args (@t61 @t66 @t67)) % 0.38/0.60 (step @p70 :rule cnf_or_pos :args (@t69)) % 0.38/0.60 (step @p71 :rule reordering :premises (@p70) :args ((or @t62 @t68 (not @t69)))) % 0.38/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p62) :args (@t68 @t70 (@list @t61 @t69))) % 0.38/0.60 (step @p73 :rule instantiate :premises (@p27) :args ((@list @t46 @t56 @t59))) % 0.38/0.60 (step @p74 :rule instantiate :premises (@p1) :args ((@list @t59))) % 0.38/0.60 (step @p75 :rule bool-double-not-elim :args (@t63)) % 0.38/0.60 (step @p76 :rule nary_cong :premises (@p64 @p75) :args ((or @t65 (not @t64)))) % 0.38/0.60 (step @p77 :rule cnf_or_neg :args (@t65 0)) % 0.38/0.60 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.38/0.60 (step @p79 :rule reordering :premises (@p78) :args ((or @t63 @t65))) % 0.38/0.60 (step @p80 :rule chain_m_resolution :premises (@p79 @p56) :args (@t63 @t66 @t67)) % 0.38/0.60 (step @p81 :rule cnf_or_pos :args (@t75)) % 0.38/0.60 (step @p82 :rule reordering :premises (@p81) :args ((or @t64 @t71 @t74 (not @t75)))) % 0.38/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p74 @p73) :args (@t74 @t76 (@list @t63 @t71 @t75))) % 0.38/0.60 (step @p84 :rule cnf_and_pos :args (@t74 0)) % 0.38/0.60 (step @p85 :rule reordering :premises (@p84) :args ((or @t73 (not @t74)))) % 0.38/0.60 (step @p86 :rule chain_m_resolution :premises (@p85 @p83) :args (@t73 @t77 (@list @t74))) % 0.38/0.60 (step @p87 :rule instantiate :premises (@p27) :args ((@list @t46 @t56 @t47))) % 0.38/0.60 (step @p88 :rule bool-double-not-elim :args (@t57)) % 0.38/0.60 (step @p89 :rule nary_cong :premises (@p64 @p88) :args ((or @t65 (not @t58)))) % 0.38/0.60 (step @p90 :rule cnf_or_neg :args (@t65 4)) % 0.38/0.60 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.38/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t57 @t65))) % 0.38/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p56) :args (@t57 @t66 @t67)) % 0.38/0.60 (step @p94 :rule cnf_and_pos :args (@t78 1)) % 0.38/0.60 (step @p95 :rule reordering :premises (@p94) :args ((or @t58 @t79))) % 0.38/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t79 @t77 (@list @t57))) % 0.38/0.60 (step @p97 :rule cnf_or_pos :args (@t81)) % 0.38/0.60 (step @p98 :rule reordering :premises (@p97) :args ((or @t64 @t78 @t80 (not @t81)))) % 0.38/0.60 (step @p99 :rule chain_m_resolution :premises (@p98 @p80 @p96 @p87) :args (@t80 @t76 (@list @t63 @t78 @t81))) % 0.38/0.60 (step @p100 :rule aci_norm :args ((= (or (or @t83 @t82) @t26) (or @t83 @t82 @t25 @t24 @t23 @t21)))) % 0.38/0.60 (step @p101 :rule refl :args (@t26)) % 0.38/0.60 (step @p102 :rule bool-and-de-morgan :args (@t7 @t27 true)) % 0.38/0.60 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t28) @t26))) % 0.38/0.60 (step @p104 :rule trans :premises (@p103 @p100)) % 0.38/0.60 (step @p105 :rule bool-impl-elim :args (@t28 @t26)) % 0.38/0.60 (step @p106 :rule trans :premises (@p105 @p104)) % 0.38/0.60 (step @p107 :rule cong :premises (@p106) :args (@t29)) % 0.38/0.60 (step @p108 :rule eq_resolve :premises (@p9 @p107)) % 0.38/0.60 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t47 @t59 @t46 @t45))) % 0.38/0.60 (step @p110 :rule cnf_or_pos :args (@t86)) % 0.38/0.60 (step @p111 :rule reordering :premises (@p110) :args ((or @t60 @t84 @t72 @t50 @t48 @t85 (not @t86)))) % 0.38/0.60 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p99 @p86 @p72 @p58 @p32 @p30) :args (@t53 (@list false false true false true true true) (@list @t86 @t80 @t72 @t68 @t60 @t48 @t50))) % 0.38/0.60 (step @p113 :rule cnf_or_pos :args (@t88)) % 0.38/0.60 (step @p114 :rule reordering :premises (@p113) :args ((or @t62 @t52 @t87 (not @t88)))) % 0.38/0.60 (step @p115 :rule chain_m_resolution :premises (@p114 @p69 @p112 @p28) :args (@t87 @t76 (@list @t61 @t52 @t88))) % 0.38/0.60 (assume-push @p122 @t3) % 0.38/0.60 (step @p117 :rule instantiate :premises (@p1) :args ((@list @t47))) % 0.38/0.60 (step-pop @p123 :rule scope :premises (@p117)) % 0.38/0.60 (step @p118 :rule process_scope :premises (@p123) :args ((not @t87))) % 0.38/0.60 (step @p120 :rule implies_elim :premises (@p118)) % 0.38/0.60 (step @p121 false :rule chain_m_resolution :premises (@p120 @p115 @p1) :args (false @t70 (@list @t87 @t3))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------