%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO190+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 : 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 08:16:38 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO190+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 23:39:51 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.45/0.66 (define @t2 () (@list @t1)) % 0.45/0.66 (define @t3 () (@var "Z" $$unsorted)) % 0.45/0.66 (define @t4 () (@var "Y" $$unsorted)) % 0.45/0.66 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.45/0.66 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.45/0.66 (define @t7 () (or @t6 @t5)) % 0.45/0.66 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.45/0.66 (define @t9 () (@list @t1 @t4 @t3)) % 0.45/0.66 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.45/0.66 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.45/0.66 (define @t12 () (tptp.distinct_lines @t1 @t4)) % 0.45/0.66 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.45/0.66 (define @t14 () (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))) % 0.45/0.66 (define @t15 () (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4))) % 0.45/0.66 (define @t16 () (=> @t15 @t14)) % 0.45/0.66 (define @t17 () (forall @t9 (=> @t8 @t16))) % 0.45/0.66 (define @t18 () (tptp.apart_point_and_line @t3 @t4)) % 0.45/0.66 (define @t19 () (@var "V" $$unsorted)) % 0.45/0.66 (define @t20 () (tptp.apart_point_and_line @t4 @t19)) % 0.45/0.66 (define @t21 () (@var "U" $$unsorted)) % 0.45/0.66 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.45/0.66 (define @t23 () (tptp.apart_point_and_line @t1 @t19)) % 0.45/0.66 (define @t24 () (tptp.apart_point_and_line @t1 @t21)) % 0.45/0.66 (define @t25 () (or @t24 @t23 @t22 @t20)) % 0.45/0.66 (define @t26 () (tptp.distinct_lines @t21 @t19)) % 0.45/0.66 (define @t27 () (and @t8 @t26)) % 0.45/0.66 (define @t28 () (forall (@list @t1 @t4 @t21 @t19) (=> @t27 @t25))) % 0.45/0.66 (define @t29 () (tptp.apart_point_and_line @t1 @t4)) % 0.45/0.66 (define @t30 () (tptp.apart_point_and_line @t1 @t3)) % 0.45/0.66 (define @t31 () (or @t11 @t30)) % 0.45/0.66 (define @t32 () (forall @t9 (=> @t29 @t31))) % 0.45/0.66 (define @t33 () (not (tptp.apart_point_and_line @t3 (tptp.line_connecting @t4 @t1)))) % 0.45/0.66 (define @t34 () (not @t15)) % 0.45/0.66 (define @t35 () (and @t8 @t6 @t5 @t34)) % 0.45/0.66 (define @t36 () (forall @t9 (=> @t35 @t33))) % 0.45/0.66 (define @t37 () (not @t36)) % 0.45/0.66 (define @t38 () (not @t8)) % 0.45/0.66 (define @t39 () (not @t5)) % 0.45/0.66 (define @t40 () (not @t6)) % 0.45/0.66 (define @t41 () (or @t38 @t40 @t39 @t15 @t33)) % 0.45/0.66 (define @t42 () (forall @t9 @t41)) % 0.45/0.66 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.45/0.66 (define @t44 () (@quantifiers_skolemize @t42 1)) % 0.45/0.66 (define @t45 () (@list @t43 @t44 @t43)) % 0.45/0.66 (define @t46 () (not @t34)) % 0.45/0.66 (define @t47 () (or @t38 @t40 @t39 @t46)) % 0.45/0.66 (define @t48 () (tptp.distinct_points @t43 @t44)) % 0.45/0.66 (define @t49 () (tptp.line_connecting @t44 @t43)) % 0.45/0.66 (define @t50 () (@quantifiers_skolemize @t42 2)) % 0.45/0.66 (define @t51 () (tptp.apart_point_and_line @t50 @t49)) % 0.45/0.66 (define @t52 () (not @t51)) % 0.45/0.66 (define @t53 () (tptp.line_connecting @t43 @t44)) % 0.45/0.66 (define @t54 () (tptp.apart_point_and_line @t50 @t53)) % 0.45/0.66 (define @t55 () (not @t48)) % 0.45/0.66 (define @t56 () (or @t55 (not (tptp.distinct_points @t43 @t50)) (not (tptp.distinct_points @t44 @t50)) @t54 @t52)) % 0.45/0.66 (define @t57 () (@list true)) % 0.45/0.66 (define @t58 () (@list @t56)) % 0.45/0.66 (define @t59 () (tptp.distinct_points @t44 @t43)) % 0.45/0.66 (define @t60 () (tptp.distinct_points @t43 @t43)) % 0.45/0.66 (define @t61 () (or @t55 @t60 @t59)) % 0.45/0.66 (define @t62 () (@list false true false)) % 0.45/0.66 (define @t63 () (not @t26)) % 0.45/0.66 (define @t64 () (and @t60 @t48)) % 0.45/0.66 (define @t65 () (not @t64)) % 0.45/0.66 (define @t66 () (@list @t60)) % 0.45/0.66 (define @t67 () (tptp.apart_point_and_line @t43 @t53)) % 0.45/0.66 (define @t68 () (not @t67)) % 0.45/0.66 (define @t69 () (or @t55 @t68 @t64)) % 0.45/0.66 (define @t70 () (not @t29)) % 0.45/0.66 (define @t71 () (tptp.distinct_lines @t49 @t53)) % 0.45/0.66 (define @t72 () (or @t52 @t71 @t54)) % 0.45/0.66 (define @t73 () (tptp.distinct_points @t44 @t44)) % 0.45/0.66 (define @t74 () (and @t59 @t73)) % 0.45/0.66 (define @t75 () (not @t74)) % 0.45/0.66 (define @t76 () (@list @t73)) % 0.45/0.66 (define @t77 () (tptp.apart_point_and_line @t44 @t53)) % 0.45/0.66 (define @t78 () (not @t77)) % 0.45/0.66 (define @t79 () (or @t55 @t78 @t74)) % 0.45/0.66 (define @t80 () (and @t48 @t60)) % 0.45/0.66 (define @t81 () (not @t80)) % 0.45/0.66 (define @t82 () (tptp.apart_point_and_line @t43 @t49)) % 0.45/0.66 (define @t83 () (not @t82)) % 0.45/0.66 (define @t84 () (not @t59)) % 0.45/0.66 (define @t85 () (or @t84 @t83 @t80)) % 0.45/0.66 (define @t86 () (tptp.apart_point_and_line @t44 @t49)) % 0.45/0.66 (define @t87 () (not @t71)) % 0.45/0.66 (define @t88 () (or @t84 @t87 @t86 @t77 @t82 @t67)) % 0.45/0.66 (define @t89 () (and @t73 @t59)) % 0.45/0.66 (define @t90 () (not @t89)) % 0.45/0.66 (define @t91 () (not @t86)) % 0.45/0.66 (define @t92 () (or @t84 @t91 @t89)) % 0.45/0.66 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.45/0.66 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.45/0.66 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.45/0.66 (assume @p4 @t10) % 0.45/0.66 (assume @p5 (forall @t9 (=> @t12 (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.45/0.66 (assume @p6 (forall @t9 (=> @t13 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.45/0.66 (assume @p7 @t17) % 0.45/0.66 (assume @p8 (forall @t9 (=> @t13 (=> (or (tptp.apart_point_and_line @t3 @t1) @t18) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.45/0.66 (assume @p9 @t28) % 0.45/0.66 (assume @p10 (forall @t9 (=> @t29 (or @t6 @t18)))) % 0.45/0.66 (assume @p11 @t32) % 0.45/0.66 (assume @p12 (forall (@list @t1 @t4) (=> @t13 @t12))) % 0.45/0.66 (assume @p13 @t37) % 0.45/0.66 (assume @p14 true) % 0.45/0.66 (step @p15 :rule aci_norm :args ((= (or @t38 @t7) (or @t38 @t6 @t5)))) % 0.45/0.66 (step @p16 :rule bool-impl-elim :args (@t8 @t7)) % 0.45/0.66 (step @p17 :rule trans :premises (@p16 @p15)) % 0.45/0.66 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.45/0.66 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 0.45/0.66 (step @p20 :rule instantiate :premises (@p19) :args (@t45)) % 0.45/0.66 (step @p21 :rule instantiate :premises (@p1) :args ((@list @t43))) % 0.45/0.66 (step @p22 :rule aci_norm :args ((= (or (or @t38 @t40 @t39 @t15) @t33) @t41))) % 0.45/0.66 (step @p23 :rule refl :args (@t33)) % 0.45/0.66 (step @p24 :rule bool-double-not-elim :args (@t15)) % 0.45/0.66 (step @p25 :rule refl :args (@t39)) % 0.45/0.66 (step @p26 :rule refl :args (@t40)) % 0.45/0.66 (step @p27 :rule refl :args (@t38)) % 0.45/0.66 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25 @p24) :args (@t47)) % 0.45/0.66 (step @p29 :rule aci_norm :args ((= (or @t38 (or @t40 (or @t39 @t46))) @t47))) % 0.45/0.66 (step @p30 :rule trans :premises (@p29 @p28)) % 0.45/0.66 (step @p31 :rule bool-and-de-morgan :args (@t5 @t34 true)) % 0.45/0.66 (step @p32 :rule nary_cong :premises (@p26 @p31) :args ((or @t40 (not (and @t5 @t34))))) % 0.45/0.66 (step @p33 :rule bool-and-de-morgan :args (@t6 @t5 (and @t34))) % 0.45/0.66 (step @p34 :rule trans :premises (@p33 @p32)) % 0.45/0.66 (step @p35 :rule nary_cong :premises (@p27 @p34) :args ((or @t38 (not (and @t6 @t5 @t34))))) % 0.45/0.66 (step @p36 :rule bool-and-de-morgan :args (@t8 @t6 (and @t5 @t34))) % 0.45/0.66 (step @p37 :rule trans :premises (@p36 @p35)) % 0.45/0.66 (step @p38 :rule trans :premises (@p37 @p30)) % 0.45/0.66 (step @p39 :rule nary_cong :premises (@p38 @p23) :args ((or (not @t35) @t33))) % 0.45/0.66 (step @p40 :rule trans :premises (@p39 @p22)) % 0.45/0.66 (step @p41 :rule bool-impl-elim :args (@t35 @t33)) % 0.45/0.66 (step @p42 :rule trans :premises (@p41 @p40)) % 0.45/0.66 (step @p43 :rule cong :premises (@p42) :args (@t36)) % 0.45/0.66 (step @p44 :rule cong :premises (@p43) :args (@t37)) % 0.45/0.66 (step @p45 :rule eq_resolve :premises (@p13 @p44)) % 0.45/0.66 (step @p46 :rule skolemize :premises (@p45)) % 0.45/0.66 (step @p47 :rule bool-double-not-elim :args (@t48)) % 0.45/0.66 (step @p48 :rule refl :args (@t56)) % 0.45/0.66 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t56 (not @t55)))) % 0.45/0.66 (step @p50 :rule cnf_or_neg :args (@t56 0)) % 0.45/0.66 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.45/0.66 (step @p52 :rule reordering :premises (@p51) :args ((or @t48 @t56))) % 0.45/0.66 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t48 @t57 @t58)) % 0.45/0.66 (step @p54 :rule cnf_or_pos :args (@t61)) % 0.45/0.66 (step @p55 :rule reordering :premises (@p54) :args ((or @t55 @t59 @t60 (not @t61)))) % 0.45/0.66 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p21 @p20) :args (@t59 @t62 (@list @t48 @t60 @t61))) % 0.45/0.66 (step @p57 :rule aci_norm :args ((= (or (or @t38 @t63) @t25) (or @t38 @t63 @t24 @t23 @t22 @t20)))) % 0.45/0.66 (step @p58 :rule refl :args (@t25)) % 0.45/0.66 (step @p59 :rule bool-and-de-morgan :args (@t8 @t26 true)) % 0.45/0.66 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t27) @t25))) % 0.45/0.66 (step @p61 :rule trans :premises (@p60 @p57)) % 0.45/0.66 (step @p62 :rule bool-impl-elim :args (@t27 @t25)) % 0.45/0.66 (step @p63 :rule trans :premises (@p62 @p61)) % 0.45/0.66 (step @p64 :rule cong :premises (@p63) :args (@t28)) % 0.45/0.66 (step @p65 :rule eq_resolve :premises (@p9 @p64)) % 0.45/0.66 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t44 @t43 @t49 @t53))) % 0.45/0.66 (step @p67 :rule aci_norm :args ((= (or @t38 (or @t34 @t14)) (or @t38 @t34 @t14)))) % 0.45/0.66 (step @p68 :rule bool-impl-elim :args (@t15 @t14)) % 0.45/0.66 (step @p69 :rule nary_cong :premises (@p27 @p68) :args ((or @t38 @t16))) % 0.45/0.66 (step @p70 :rule trans :premises (@p69 @p67)) % 0.45/0.66 (step @p71 :rule bool-impl-elim :args (@t8 @t16)) % 0.45/0.66 (step @p72 :rule trans :premises (@p71 @p70)) % 0.45/0.66 (step @p73 :rule cong :premises (@p72) :args (@t17)) % 0.45/0.66 (step @p74 :rule eq_resolve :premises (@p7 @p73)) % 0.45/0.66 (step @p75 :rule instantiate :premises (@p74) :args (@t45)) % 0.45/0.66 (step @p76 :rule cnf_and_pos :args (@t64 0)) % 0.45/0.66 (step @p77 :rule reordering :premises (@p76) :args ((or @t60 @t65))) % 0.45/0.66 (step @p78 :rule chain_m_resolution :premises (@p77 @p21) :args (@t65 @t57 @t66)) % 0.45/0.66 (step @p79 :rule cnf_or_pos :args (@t69)) % 0.45/0.66 (step @p80 :rule reordering :premises (@p79) :args ((or @t55 @t68 @t64 (not @t69)))) % 0.45/0.66 (step @p81 :rule chain_m_resolution :premises (@p80 @p53 @p78 @p75) :args (@t68 @t62 (@list @t48 @t64 @t69))) % 0.45/0.66 (step @p82 :rule aci_norm :args ((= (or @t70 @t31) (or @t70 @t11 @t30)))) % 0.45/0.66 (step @p83 :rule bool-impl-elim :args (@t29 @t31)) % 0.45/0.66 (step @p84 :rule trans :premises (@p83 @p82)) % 0.45/0.66 (step @p85 :rule cong :premises (@p84) :args (@t32)) % 0.45/0.66 (step @p86 :rule eq_resolve :premises (@p11 @p85)) % 0.45/0.66 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t50 @t49 @t53))) % 0.45/0.66 (step @p88 :rule bool-double-not-elim :args (@t51)) % 0.45/0.66 (step @p89 :rule nary_cong :premises (@p48 @p88) :args ((or @t56 (not @t52)))) % 0.45/0.66 (step @p90 :rule cnf_or_neg :args (@t56 4)) % 0.45/0.66 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.45/0.66 (step @p92 :rule reordering :premises (@p91) :args ((or @t51 @t56))) % 0.45/0.66 (step @p93 :rule chain_m_resolution :premises (@p92 @p46) :args (@t51 @t57 @t58)) % 0.45/0.66 (step @p94 :rule cnf_or_neg :args (@t56 3)) % 0.45/0.66 (step @p95 :rule chain_m_resolution :premises (@p94 @p46) :args ((not @t54) @t57 @t58)) % 0.45/0.66 (step @p96 :rule cnf_or_pos :args (@t72)) % 0.45/0.66 (step @p97 :rule reordering :premises (@p96) :args ((or @t54 @t52 @t71 (not @t72)))) % 0.45/0.66 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p93 @p87) :args (@t71 (@list true false false) (@list @t54 @t51 @t72))) % 0.45/0.66 (step @p99 :rule instantiate :premises (@p74) :args ((@list @t43 @t44 @t44))) % 0.45/0.66 (step @p100 :rule instantiate :premises (@p1) :args ((@list @t44))) % 0.45/0.66 (step @p101 :rule cnf_and_pos :args (@t74 1)) % 0.45/0.66 (step @p102 :rule reordering :premises (@p101) :args ((or @t73 @t75))) % 0.45/0.66 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t75 @t57 @t76)) % 0.45/0.66 (step @p104 :rule cnf_or_pos :args (@t79)) % 0.45/0.66 (step @p105 :rule reordering :premises (@p104) :args ((or @t55 @t78 @t74 (not @t79)))) % 0.45/0.66 (step @p106 :rule chain_m_resolution :premises (@p105 @p53 @p103 @p99) :args (@t78 @t62 (@list @t48 @t74 @t79))) % 0.45/0.66 (step @p107 :rule instantiate :premises (@p74) :args ((@list @t44 @t43 @t43))) % 0.45/0.66 (step @p108 :rule cnf_and_pos :args (@t80 1)) % 0.45/0.66 (step @p109 :rule reordering :premises (@p108) :args ((or @t60 @t81))) % 0.45/0.66 (step @p110 :rule chain_m_resolution :premises (@p109 @p21) :args (@t81 @t57 @t66)) % 0.45/0.66 (step @p111 :rule cnf_or_pos :args (@t85)) % 0.45/0.66 (step @p112 :rule reordering :premises (@p111) :args ((or @t84 @t83 @t80 (not @t85)))) % 0.45/0.66 (step @p113 :rule chain_m_resolution :premises (@p112 @p56 @p110 @p107) :args (@t83 @t62 (@list @t59 @t80 @t85))) % 0.45/0.66 (step @p114 :rule cnf_or_pos :args (@t88)) % 0.45/0.66 (step @p115 :rule reordering :premises (@p114) :args ((or @t84 @t86 @t82 @t77 @t87 @t67 (not @t88)))) % 0.45/0.66 (step @p116 :rule chain_m_resolution :premises (@p115 @p56 @p113 @p106 @p98 @p81 @p66) :args (@t86 (@list false true true false true false) (@list @t59 @t82 @t77 @t71 @t67 @t88))) % 0.45/0.66 (step @p117 :rule cnf_and_pos :args (@t89 0)) % 0.45/0.66 (step @p118 :rule reordering :premises (@p117) :args ((or @t73 @t90))) % 0.45/0.66 (step @p119 :rule chain_m_resolution :premises (@p118 @p100) :args (@t90 @t57 @t76)) % 0.45/0.66 (step @p120 :rule instantiate :premises (@p74) :args ((@list @t44 @t43 @t44))) % 0.45/0.66 (step @p121 :rule cnf_or_pos :args (@t92)) % 0.45/0.66 (step @p122 :rule reordering :premises (@p121) :args ((or @t84 @t91 @t89 (not @t92)))) % 0.45/0.66 (step @p123 false :rule chain_m_resolution :premises (@p122 @p120 @p119 @p116 @p56) :args (false (@list false true false false) (@list @t92 @t89 @t86 @t59))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------