%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO182+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:16:35 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO182+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 23:39:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.intersection_point (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.apart_point_and_line (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.line_connecting (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.convergent_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_lines (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.distinct_points (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (@list @t1)) % 0.38/0.58 (define @t3 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.distinct_points @t4 @t3)) % 0.38/0.58 (define @t6 () (tptp.distinct_points @t1 @t3)) % 0.38/0.58 (define @t7 () (or @t6 @t5)) % 0.38/0.58 (define @t8 () (tptp.distinct_points @t1 @t4)) % 0.38/0.58 (define @t9 () (@list @t1 @t4 @t3)) % 0.38/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.38/0.58 (define @t11 () (tptp.distinct_lines @t4 @t3)) % 0.38/0.58 (define @t12 () (tptp.distinct_lines @t1 @t4)) % 0.38/0.58 (define @t13 () (tptp.convergent_lines @t1 @t4)) % 0.38/0.58 (define @t14 () (and (tptp.distinct_points @t3 @t1) (tptp.distinct_points @t3 @t4))) % 0.38/0.58 (define @t15 () (tptp.apart_point_and_line @t3 (tptp.line_connecting @t1 @t4))) % 0.38/0.58 (define @t16 () (=> @t15 @t14)) % 0.38/0.58 (define @t17 () (forall @t9 (=> @t8 @t16))) % 0.38/0.58 (define @t18 () (tptp.apart_point_and_line @t3 @t4)) % 0.38/0.58 (define @t19 () (@var "V" $$unsorted)) % 0.38/0.58 (define @t20 () (tptp.apart_point_and_line @t4 @t19)) % 0.38/0.58 (define @t21 () (@var "U" $$unsorted)) % 0.38/0.58 (define @t22 () (tptp.apart_point_and_line @t4 @t21)) % 0.38/0.58 (define @t23 () (tptp.apart_point_and_line @t1 @t19)) % 0.38/0.58 (define @t24 () (tptp.apart_point_and_line @t1 @t21)) % 0.38/0.58 (define @t25 () (or @t24 @t23 @t22 @t20)) % 0.38/0.58 (define @t26 () (tptp.distinct_lines @t21 @t19)) % 0.38/0.58 (define @t27 () (and @t8 @t26)) % 0.38/0.58 (define @t28 () (forall (@list @t1 @t4 @t21 @t19) (=> @t27 @t25))) % 0.38/0.58 (define @t29 () (tptp.apart_point_and_line @t1 @t4)) % 0.38/0.58 (define @t30 () (tptp.apart_point_and_line @t1 @t3)) % 0.38/0.58 (define @t31 () (or @t11 @t30)) % 0.38/0.58 (define @t32 () (forall @t9 (=> @t29 @t31))) % 0.38/0.58 (define @t33 () (tptp.apart_point_and_line @t3 (tptp.line_connecting @t4 @t1))) % 0.38/0.58 (define @t34 () (=> @t15 @t33)) % 0.38/0.58 (define @t35 () (forall @t9 (=> @t8 @t34))) % 0.38/0.58 (define @t36 () (not @t35)) % 0.38/0.58 (define @t37 () (not @t15)) % 0.38/0.58 (define @t38 () (not @t8)) % 0.38/0.58 (define @t39 () (or @t38 @t37 @t33)) % 0.38/0.58 (define @t40 () (forall @t9 @t39)) % 0.38/0.58 (define @t41 () (@quantifiers_skolemize @t40 1)) % 0.38/0.58 (define @t42 () (@quantifiers_skolemize @t40 0)) % 0.38/0.58 (define @t43 () (tptp.distinct_points @t42 @t41)) % 0.38/0.58 (define @t44 () (tptp.line_connecting @t41 @t42)) % 0.38/0.58 (define @t45 () (@quantifiers_skolemize @t40 2)) % 0.38/0.58 (define @t46 () (tptp.apart_point_and_line @t45 @t44)) % 0.38/0.58 (define @t47 () (tptp.line_connecting @t42 @t41)) % 0.38/0.58 (define @t48 () (tptp.apart_point_and_line @t45 @t47)) % 0.38/0.58 (define @t49 () (not @t48)) % 0.38/0.58 (define @t50 () (not @t43)) % 0.38/0.58 (define @t51 () (or @t50 @t49 @t46)) % 0.38/0.58 (define @t52 () (@list true)) % 0.38/0.58 (define @t53 () (@list @t51)) % 0.38/0.58 (define @t54 () (tptp.distinct_points @t41 @t41)) % 0.38/0.58 (define @t55 () (tptp.distinct_points @t41 @t42)) % 0.38/0.58 (define @t56 () (and @t55 @t54)) % 0.38/0.58 (define @t57 () (not @t56)) % 0.38/0.58 (define @t58 () (@list @t42 @t41 @t42)) % 0.38/0.58 (define @t59 () (tptp.distinct_points @t42 @t42)) % 0.38/0.58 (define @t60 () (or @t50 @t59 @t55)) % 0.38/0.58 (define @t61 () (@list false true false)) % 0.38/0.58 (define @t62 () (not @t55)) % 0.38/0.58 (define @t63 () (tptp.apart_point_and_line @t41 @t47)) % 0.38/0.58 (define @t64 () (not @t63)) % 0.38/0.58 (define @t65 () (or @t50 @t64 @t56)) % 0.38/0.58 (define @t66 () (and @t54 @t55)) % 0.38/0.58 (define @t67 () (and @t43 @t59)) % 0.38/0.58 (define @t68 () (not @t67)) % 0.38/0.58 (define @t69 () (@list @t59)) % 0.38/0.58 (define @t70 () (tptp.apart_point_and_line @t42 @t44)) % 0.38/0.58 (define @t71 () (not @t70)) % 0.38/0.58 (define @t72 () (or @t62 @t71 @t67)) % 0.38/0.58 (define @t73 () (not @t29)) % 0.38/0.58 (define @t74 () (tptp.distinct_lines @t47 @t44)) % 0.38/0.58 (define @t75 () (or @t49 @t74 @t46)) % 0.38/0.58 (define @t76 () (not @t26)) % 0.38/0.58 (define @t77 () (tptp.apart_point_and_line @t41 @t44)) % 0.38/0.58 (define @t78 () (tptp.apart_point_and_line @t42 @t47)) % 0.38/0.58 (define @t79 () (not @t74)) % 0.38/0.58 (define @t80 () (or @t50 @t79 @t78 @t70 @t63 @t77)) % 0.38/0.58 (define @t81 () (not @t77)) % 0.38/0.58 (define @t82 () (or @t62 @t81 @t66)) % 0.38/0.58 (define @t83 () (and @t59 @t43)) % 0.38/0.58 (define @t84 () (not @t83)) % 0.38/0.58 (define @t85 () (not @t78)) % 0.38/0.58 (define @t86 () (or @t50 @t85 @t83)) % 0.38/0.58 (assume @p1 (forall @t2 (not (tptp.distinct_points @t1 @t1)))) % 0.38/0.58 (assume @p2 (forall @t2 (not (tptp.distinct_lines @t1 @t1)))) % 0.38/0.58 (assume @p3 (forall @t2 (not (tptp.convergent_lines @t1 @t1)))) % 0.38/0.58 (assume @p4 @t10) % 0.38/0.58 (assume @p5 (forall @t9 (=> @t12 (or (tptp.distinct_lines @t1 @t3) @t11)))) % 0.38/0.58 (assume @p6 (forall @t9 (=> @t13 (or (tptp.convergent_lines @t1 @t3) (tptp.convergent_lines @t4 @t3))))) % 0.38/0.58 (assume @p7 @t17) % 0.38/0.58 (assume @p8 (forall @t9 (=> @t13 (=> (or (tptp.apart_point_and_line @t3 @t1) @t18) (tptp.distinct_points @t3 (tptp.intersection_point @t1 @t4)))))) % 0.38/0.58 (assume @p9 @t28) % 0.38/0.58 (assume @p10 (forall @t9 (=> @t29 (or @t6 @t18)))) % 0.38/0.58 (assume @p11 @t32) % 0.38/0.58 (assume @p12 (forall (@list @t1 @t4) (=> @t13 @t12))) % 0.38/0.58 (assume @p13 @t36) % 0.38/0.58 (assume @p14 true) % 0.38/0.58 (step @p15 :rule aci_norm :args ((= (or @t38 (or @t37 @t33)) @t39))) % 0.38/0.58 (step @p16 :rule bool-impl-elim :args (@t15 @t33)) % 0.38/0.58 (step @p17 :rule refl :args (@t38)) % 0.38/0.58 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t38 @t34))) % 0.38/0.58 (step @p19 :rule trans :premises (@p18 @p15)) % 0.38/0.58 (step @p20 :rule bool-impl-elim :args (@t8 @t34)) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21) :args (@t35)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args (@t36)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p13 @p23)) % 0.38/0.58 (step @p25 :rule skolemize :premises (@p24)) % 0.38/0.58 (step @p26 :rule bool-double-not-elim :args (@t43)) % 0.38/0.58 (step @p27 :rule refl :args (@t51)) % 0.38/0.58 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t51 (not @t50)))) % 0.38/0.58 (step @p29 :rule cnf_or_neg :args (@t51 0)) % 0.38/0.58 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.38/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t43 @t51))) % 0.38/0.58 (step @p32 :rule chain_m_resolution :premises (@p31 @p25) :args (@t43 @t52 @t53)) % 0.38/0.58 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t41))) % 0.38/0.58 (step @p34 :rule cnf_and_pos :args (@t56 1)) % 0.38/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t54 @t57))) % 0.38/0.58 (step @p36 :rule chain_m_resolution :premises (@p35 @p33) :args (@t57 @t52 (@list @t54))) % 0.38/0.58 (step @p37 :rule aci_norm :args ((= (or @t38 @t7) (or @t38 @t6 @t5)))) % 0.38/0.58 (step @p38 :rule bool-impl-elim :args (@t8 @t7)) % 0.38/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.58 (step @p40 :rule cong :premises (@p39) :args (@t10)) % 0.38/0.58 (step @p41 :rule eq_resolve :premises (@p4 @p40)) % 0.38/0.58 (step @p42 :rule instantiate :premises (@p41) :args (@t58)) % 0.38/0.58 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t42))) % 0.38/0.58 (step @p44 :rule cnf_or_pos :args (@t60)) % 0.38/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t50 @t59 @t55 (not @t60)))) % 0.38/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p32 @p43 @p42) :args (@t55 @t61 (@list @t43 @t59 @t60))) % 0.38/0.58 (step @p47 :rule cnf_and_neg :args (@t56)) % 0.38/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t62 @t56 (not @t54)))) % 0.38/0.58 (step @p49 :rule aci_norm :args ((= (or @t38 (or @t37 @t14)) (or @t38 @t37 @t14)))) % 0.38/0.58 (step @p50 :rule bool-impl-elim :args (@t15 @t14)) % 0.38/0.58 (step @p51 :rule nary_cong :premises (@p17 @p50) :args ((or @t38 @t16))) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p49)) % 0.38/0.58 (step @p53 :rule bool-impl-elim :args (@t8 @t16)) % 0.38/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54) :args (@t17)) % 0.38/0.58 (step @p56 :rule eq_resolve :premises (@p7 @p55)) % 0.38/0.58 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t42 @t41 @t41))) % 0.38/0.58 (step @p58 :rule cnf_or_pos :args (@t65)) % 0.38/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t50 @t64 @t56 (not @t65)))) % 0.38/0.58 (step @p60 :rule cnf_and_pos :args (@t66 0)) % 0.38/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t54 (not @t66)))) % 0.38/0.58 (step @p62 :rule instantiate :premises (@p56) :args ((@list @t41 @t42 @t42))) % 0.38/0.58 (step @p63 :rule cnf_and_pos :args (@t67 1)) % 0.38/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t59 @t68))) % 0.38/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p43) :args (@t68 @t52 @t69)) % 0.38/0.58 (step @p66 :rule cnf_or_pos :args (@t72)) % 0.38/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t62 @t71 @t67 (not @t72)))) % 0.38/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p46 @p65 @p62) :args (@t71 @t61 (@list @t55 @t67 @t72))) % 0.38/0.59 (step @p69 :rule aci_norm :args ((= (or @t73 @t31) (or @t73 @t11 @t30)))) % 0.38/0.59 (step @p70 :rule bool-impl-elim :args (@t29 @t31)) % 0.38/0.59 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.59 (step @p72 :rule cong :premises (@p71) :args (@t32)) % 0.38/0.59 (step @p73 :rule eq_resolve :premises (@p11 @p72)) % 0.38/0.59 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t45 @t47 @t44))) % 0.38/0.59 (step @p75 :rule cnf_or_neg :args (@t51 2)) % 0.38/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p25) :args ((not @t46) @t52 @t53)) % 0.38/0.59 (step @p77 :rule bool-double-not-elim :args (@t48)) % 0.38/0.59 (step @p78 :rule nary_cong :premises (@p27 @p77) :args ((or @t51 (not @t49)))) % 0.38/0.59 (step @p79 :rule cnf_or_neg :args (@t51 1)) % 0.38/0.59 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.38/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t48 @t51))) % 0.38/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p25) :args (@t48 @t52 @t53)) % 0.38/0.59 (step @p83 :rule cnf_or_pos :args (@t75)) % 0.38/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t49 @t46 @t74 (not @t75)))) % 0.38/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p76 @p74) :args (@t74 @t61 (@list @t48 @t46 @t75))) % 0.38/0.59 (step @p86 :rule aci_norm :args ((= (or (or @t38 @t76) @t25) (or @t38 @t76 @t24 @t23 @t22 @t20)))) % 0.38/0.59 (step @p87 :rule refl :args (@t25)) % 0.38/0.59 (step @p88 :rule bool-and-de-morgan :args (@t8 @t26 true)) % 0.38/0.59 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t27) @t25))) % 0.38/0.59 (step @p90 :rule trans :premises (@p89 @p86)) % 0.38/0.59 (step @p91 :rule bool-impl-elim :args (@t27 @t25)) % 0.38/0.59 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.59 (step @p93 :rule cong :premises (@p92) :args (@t28)) % 0.38/0.59 (step @p94 :rule eq_resolve :premises (@p9 @p93)) % 0.38/0.59 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t42 @t41 @t47 @t44))) % 0.38/0.59 (step @p96 :rule cnf_or_pos :args (@t80)) % 0.38/0.59 (step @p97 :rule reordering :premises (@p96) :args ((or @t50 @t78 @t63 @t70 @t79 @t77 (not @t80)))) % 0.38/0.59 (step @p98 :rule instantiate :premises (@p56) :args ((@list @t41 @t42 @t41))) % 0.38/0.59 (step @p99 :rule cnf_or_pos :args (@t82)) % 0.38/0.59 (step @p100 :rule reordering :premises (@p99) :args ((or @t62 @t81 @t66 (not @t82)))) % 0.38/0.59 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p46 @p97 @p95 @p85 @p68 @p32 @p61 @p59 @p57 @p32 @p48 @p46) :args ((or @t78 @t56) (@list false false false false false true false true true false false true false) (@list @t82 @t55 @t77 @t80 @t74 @t70 @t43 @t66 @t63 @t65 @t43 @t54 @t55))) % 0.38/0.59 (step @p102 :rule chain_m_resolution :premises (@p101 @p36) :args (@t78 @t52 (@list @t56))) % 0.38/0.59 (step @p103 :rule cnf_and_pos :args (@t83 0)) % 0.38/0.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t59 @t84))) % 0.38/0.59 (step @p105 :rule chain_m_resolution :premises (@p104 @p43) :args (@t84 @t52 @t69)) % 0.38/0.59 (step @p106 :rule instantiate :premises (@p56) :args (@t58)) % 0.38/0.59 (step @p107 :rule cnf_or_pos :args (@t86)) % 0.38/0.59 (step @p108 :rule reordering :premises (@p107) :args ((or @t50 @t85 @t83 (not @t86)))) % 0.38/0.59 (step @p109 false :rule chain_m_resolution :premises (@p108 @p106 @p105 @p102 @p32) :args (false (@list false true false false) (@list @t86 @t83 @t78 @t43))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------