%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO112-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:16:23 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO112-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Mon Jun 1 18:24:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Unsatisfiable % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.sk15 $$unsorted) % 0.15/0.37 (declare-const tptp.sk17 $$unsorted) % 0.15/0.37 (declare-const tptp.sk18 $$unsorted) % 0.15/0.37 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.ax1_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.open (-> $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sk16 $$unsorted) % 0.15/0.37 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.15/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "C" $$unsorted)) % 0.15/0.37 (define @t3 () (@var "A" $$unsorted)) % 0.15/0.37 (define @t4 () (tptp.part_of @t3 @t1)) % 0.15/0.37 (define @t5 () (not @t4)) % 0.15/0.37 (define @t6 () (@list @t3 @t1 @t2)) % 0.15/0.37 (define @t7 () (tptp.ax0_sk1 @t3 @t1)) % 0.15/0.37 (define @t8 () (@list @t3 @t1)) % 0.15/0.37 (define @t9 () (@var "D" $$unsorted)) % 0.15/0.37 (define @t10 () (tptp.incident_c @t9 @t2)) % 0.15/0.37 (define @t11 () (tptp.incident_c @t9 @t1)) % 0.15/0.37 (define @t12 () (tptp.incident_c @t9 @t3)) % 0.15/0.37 (define @t13 () (tptp.sum @t1 @t2)) % 0.15/0.37 (define @t14 () (not (= @t3 @t13))) % 0.15/0.37 (define @t15 () (@list @t3 @t1 @t2 @t9)) % 0.15/0.37 (define @t16 () (not @t11)) % 0.15/0.37 (define @t17 () (not @t10)) % 0.15/0.37 (define @t18 () (= @t2 (tptp.sum @t1 @t3))) % 0.15/0.37 (define @t19 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 0.15/0.37 (define @t20 () (tptp.incident_c @t19 @t3)) % 0.15/0.37 (define @t21 () (tptp.incident_c @t19 @t1)) % 0.15/0.37 (define @t22 () (tptp.incident_c @t19 @t2)) % 0.15/0.37 (define @t23 () (not @t22)) % 0.15/0.37 (define @t24 () (not @t21)) % 0.15/0.37 (define @t25 () (not @t20)) % 0.15/0.37 (define @t26 () (tptp.incident_c @t3 @t1)) % 0.15/0.37 (define @t27 () (tptp.end_point @t3 @t1)) % 0.15/0.37 (define @t28 () (not @t27)) % 0.15/0.37 (define @t29 () (tptp.part_of @t9 @t2)) % 0.15/0.37 (define @t30 () (tptp.part_of @t2 @t9)) % 0.15/0.37 (define @t31 () (tptp.incident_c @t3 @t2)) % 0.15/0.37 (define @t32 () (not @t31)) % 0.15/0.37 (define @t33 () (not (tptp.part_of @t9 @t1))) % 0.15/0.37 (define @t34 () (not (tptp.part_of @t2 @t1))) % 0.15/0.37 (define @t35 () (tptp.ax0_sk3 @t1 @t3)) % 0.15/0.37 (define @t36 () (not @t26)) % 0.15/0.37 (define @t37 () (tptp.ax0_sk4 @t1 @t3)) % 0.15/0.37 (define @t38 () (tptp.inner_point @t3 @t1)) % 0.15/0.37 (define @t39 () (not @t38)) % 0.15/0.37 (define @t40 () (tptp.meet @t3 @t1 @t2)) % 0.15/0.37 (define @t41 () (not @t40)) % 0.15/0.37 (define @t42 () (tptp.end_point @t9 @t1)) % 0.15/0.37 (define @t43 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 0.15/0.37 (define @t44 () (tptp.closed @t3)) % 0.15/0.37 (define @t45 () (not @t44)) % 0.15/0.37 (define @t46 () (@list @t3)) % 0.15/0.37 (define @t47 () (tptp.open @t3)) % 0.15/0.37 (define @t48 () (= @t3 @t1)) % 0.15/0.37 (define @t49 () (@var "E" $$unsorted)) % 0.15/0.37 (define @t50 () (not (tptp.end_point @t49 @t2))) % 0.15/0.37 (define @t51 () (@list @t3 @t1 @t2 @t9 @t49)) % 0.15/0.37 (define @t52 () (tptp.ax0_sk10 @t3 @t1)) % 0.15/0.37 (define @t53 () (tptp.ax0_sk9 @t3 @t1)) % 0.15/0.37 (define @t54 () (tptp.ax0_sk11 @t3 @t1)) % 0.15/0.37 (define @t55 () (= @t1 @t3)) % 0.15/0.37 (define @t56 () (tptp.ax0_sk13 @t3 @t1)) % 0.15/0.37 (define @t57 () (tptp.incident_c @t56 @t3)) % 0.15/0.37 (define @t58 () (tptp.incident_c @t56 @t1)) % 0.15/0.37 (define @t59 () (not @t58)) % 0.15/0.37 (define @t60 () (not @t57)) % 0.15/0.37 (define @t61 () (not (tptp.between_c @t3 @t1 @t2 @t9))) % 0.15/0.37 (define @t62 () (tptp.ax1_sk1 @t9 @t2 @t1 @t3)) % 0.15/0.37 (define @t63 () (forall @t51 (or @t48 (not @t30) (not (tptp.end_point @t3 @t2)) (not (tptp.end_point @t1 @t2)) (not (tptp.inner_point @t49 @t2)) (tptp.between_c @t9 @t3 @t49 @t1)))) % 0.15/0.37 (define @t64 () (tptp.between_c tptp.sk15 tptp.sk16 tptp.sk17 tptp.sk18)) % 0.15/0.37 (define @t65 () (tptp.between_c tptp.sk15 tptp.sk18 tptp.sk17 tptp.sk16)) % 0.15/0.37 (define @t66 () (tptp.ax1_sk1 tptp.sk18 tptp.sk17 tptp.sk16 tptp.sk15)) % 0.15/0.37 (define @t67 () (tptp.inner_point tptp.sk17 @t66)) % 0.15/0.37 (define @t68 () (not @t67)) % 0.15/0.37 (define @t69 () (tptp.end_point tptp.sk16 @t66)) % 0.15/0.37 (define @t70 () (not @t69)) % 0.15/0.37 (define @t71 () (tptp.end_point tptp.sk18 @t66)) % 0.15/0.37 (define @t72 () (not @t71)) % 0.15/0.37 (define @t73 () (tptp.part_of @t66 tptp.sk15)) % 0.15/0.37 (define @t74 () (not @t73)) % 0.15/0.37 (define @t75 () (or (= tptp.sk18 tptp.sk16) @t74 @t72 @t70 @t68 @t65)) % 0.15/0.37 (define @t76 () (= tptp.sk16 tptp.sk18)) % 0.15/0.37 (define @t77 () (or @t76 @t74 @t72 @t70 @t68 @t65)) % 0.15/0.37 (define @t78 () (@list tptp.sk15 tptp.sk16 tptp.sk17 tptp.sk18)) % 0.15/0.37 (define @t79 () (not @t64)) % 0.15/0.37 (define @t80 () (or @t79 @t67)) % 0.15/0.37 (define @t81 () (@list false false)) % 0.15/0.37 (define @t82 () (or @t79 @t71)) % 0.15/0.37 (define @t83 () (or @t79 @t69)) % 0.15/0.37 (define @t84 () (or @t79 @t73)) % 0.15/0.37 (assume @p1 (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 0.15/0.37 (assume @p2 (forall @t8 (or (tptp.incident_c @t7 @t3) @t4))) % 0.15/0.37 (assume @p3 (forall @t8 (or (not (tptp.incident_c @t7 @t1)) @t4))) % 0.15/0.37 (assume @p4 (forall @t15 (or @t14 (not @t12) @t11 @t10))) % 0.15/0.37 (assume @p5 (forall @t15 (or @t14 @t16 @t12))) % 0.15/0.37 (assume @p6 (forall @t15 (or @t14 @t17 @t12))) % 0.15/0.37 (assume @p7 (forall @t6 (or @t22 @t21 @t20 @t18))) % 0.15/0.37 (assume @p8 (forall @t6 (or @t22 @t23 @t18))) % 0.15/0.37 (assume @p9 (forall @t6 (or @t24 @t21 @t20 @t18))) % 0.15/0.37 (assume @p10 (forall @t6 (or @t25 @t21 @t20 @t18))) % 0.15/0.37 (assume @p11 (forall @t6 (or @t24 @t23 @t18))) % 0.15/0.37 (assume @p12 (forall @t6 (or @t25 @t23 @t18))) % 0.15/0.37 (assume @p13 (forall @t8 (or @t28 @t26))) % 0.15/0.37 (assume @p14 (forall @t15 (or @t28 @t34 @t33 @t32 (not (tptp.incident_c @t3 @t9)) @t30 @t29))) % 0.15/0.37 (assume @p15 (forall @t8 (or @t36 (tptp.part_of @t35 @t1) @t27))) % 0.15/0.37 (assume @p16 (forall @t8 (or @t36 (tptp.part_of @t37 @t1) @t27))) % 0.15/0.37 (assume @p17 (forall @t8 (or @t36 (tptp.incident_c @t3 @t35) @t27))) % 0.15/0.37 (assume @p18 (forall @t8 (or @t36 (tptp.incident_c @t3 @t37) @t27))) % 0.15/0.37 (assume @p19 (forall @t8 (or @t36 (not (tptp.part_of @t35 @t37)) @t27))) % 0.15/0.37 (assume @p20 (forall @t8 (or @t36 (not (tptp.part_of @t37 @t35)) @t27))) % 0.15/0.37 (assume @p21 (forall @t8 (or @t39 @t26))) % 0.15/0.37 (assume @p22 (forall @t8 (or @t39 @t28))) % 0.15/0.37 (assume @p23 (forall @t8 (or @t36 @t27 @t38))) % 0.15/0.37 (assume @p24 (forall @t6 (or @t41 @t26))) % 0.15/0.37 (assume @p25 (forall @t6 (or @t41 @t31))) % 0.15/0.37 (assume @p26 (forall @t15 (or @t41 @t16 @t17 @t42))) % 0.15/0.37 (assume @p27 (forall @t15 (or @t41 @t16 @t17 (tptp.end_point @t9 @t2)))) % 0.15/0.37 (assume @p28 (forall @t6 (or @t36 @t32 (tptp.incident_c @t43 @t1) @t40))) % 0.15/0.37 (assume @p29 (forall @t6 (or @t36 @t32 (tptp.incident_c @t43 @t2) @t40))) % 0.15/0.37 (assume @p30 (forall @t6 (or @t36 @t32 (not (tptp.end_point @t43 @t1)) (not (tptp.end_point @t43 @t2)) @t40))) % 0.15/0.37 (assume @p31 (forall @t8 (or @t45 (not (tptp.end_point @t1 @t3))))) % 0.15/0.37 (assume @p32 (forall @t46 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t44))) % 0.15/0.37 (assume @p33 (forall @t46 (or (not @t47) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 0.15/0.37 (assume @p34 (forall @t8 (or @t28 (tptp.open @t1)))) % 0.15/0.37 (assume @p35 (forall @t8 (or @t5 @t48 @t47))) % 0.15/0.37 (assume @p36 (forall @t51 (or @t5 @t34 @t33 (not (tptp.end_point @t49 @t3)) @t50 (not (tptp.end_point @t49 @t9)) @t30 @t29 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t9) (tptp.part_of @t9 @t3)))) % 0.15/0.37 (assume @p37 (forall @t46 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 0.15/0.37 (assume @p38 (forall @t8 (or @t39 (tptp.meet @t3 @t53 @t52)))) % 0.15/0.37 (assume @p39 (forall @t8 (or @t39 (= @t1 (tptp.sum @t53 @t52))))) % 0.15/0.37 (assume @p40 (forall @t15 (or @t28 (not (tptp.end_point @t2 @t1)) (not @t42) (= @t3 @t2) (= @t3 @t9) (= @t2 @t9)))) % 0.15/0.37 (assume @p41 (forall @t8 (or @t28 (tptp.end_point @t54 @t1)))) % 0.15/0.37 (assume @p42 (forall @t8 (or @t28 (not (= @t3 @t54))))) % 0.15/0.37 (assume @p43 (forall @t51 (or @t45 (not (tptp.meet @t1 @t2 @t9)) (not (= @t3 (tptp.sum @t2 @t9))) @t50 (tptp.meet @t49 @t2 @t9)))) % 0.15/0.37 (assume @p44 (forall @t6 (or @t41 (= (tptp.ax0_sk12 @t2 @t1) @t13)))) % 0.15/0.37 (assume @p45 (forall @t8 (or @t58 @t57 @t55))) % 0.15/0.37 (assume @p46 (forall @t8 (or @t58 @t59 @t55))) % 0.15/0.37 (assume @p47 (forall @t8 (or @t60 @t57 @t55))) % 0.15/0.37 (assume @p48 (forall @t8 (or @t60 @t59 @t55))) % 0.15/0.37 (assume @p49 (forall @t15 (or @t61 (not (= @t1 @t9))))) % 0.15/0.37 (assume @p50 (forall @t15 (or @t61 (tptp.part_of @t62 @t3)))) % 0.15/0.37 (assume @p51 (forall @t15 (or @t61 (tptp.end_point @t1 @t62)))) % 0.15/0.37 (assume @p52 (forall @t15 (or @t61 (tptp.end_point @t9 @t62)))) % 0.15/0.37 (assume @p53 (forall @t15 (or @t61 (tptp.inner_point @t2 @t62)))) % 0.15/0.37 (assume @p54 @t63) % 0.15/0.37 (assume @p55 @t64) % 0.15/0.37 (assume @p56 (not @t65)) % 0.15/0.37 (step @p57 :rule evaluate :args ((= false true))) % 0.15/0.37 (step @p58 :rule true_intro :premises (@p55)) % 0.15/0.37 (step @p59 :rule refl :args (@t65)) % 0.15/0.37 (step @p60 :rule refl :args (@t68)) % 0.15/0.37 (step @p61 :rule refl :args (@t70)) % 0.15/0.37 (step @p62 :rule refl :args (@t72)) % 0.15/0.37 (step @p63 :rule refl :args (@t74)) % 0.15/0.37 (step @p64 :rule eq-symm :args (tptp.sk18 tptp.sk16)) % 0.15/0.37 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p59) :args (@t75)) % 0.15/0.37 (step @p66 :rule refl :args (@t63)) % 0.15/0.37 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t63 @t75))) % 0.15/0.37 (assume-push @p102 @t63) % 0.15/0.37 (step @p69 :rule instantiate :premises (@p54) :args ((@list tptp.sk18 tptp.sk16 @t66 tptp.sk15 tptp.sk17))) % 0.15/0.37 (step-pop @p103 :rule scope :premises (@p69)) % 0.15/0.37 (step @p70 :rule process_scope :premises (@p103) :args (@t75)) % 0.15/0.37 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.15/0.37 (step @p73 :rule implies_elim :premises (@p72)) % 0.15/0.37 (step @p74 :rule chain_m_resolution :premises (@p73 @p54) :args (@t77 (@list false) (@list @t63))) % 0.15/0.37 (step @p75 :rule instantiate :premises (@p53) :args (@t78)) % 0.15/0.37 (step @p76 :rule cnf_or_pos :args (@t80)) % 0.15/0.37 (step @p77 :rule reordering :premises (@p76) :args ((or @t79 @t67 (not @t80)))) % 0.15/0.37 (step @p78 :rule chain_m_resolution :premises (@p77 @p55 @p75) :args (@t67 @t81 (@list @t64 @t80))) % 0.15/0.37 (step @p79 :rule instantiate :premises (@p52) :args (@t78)) % 0.15/0.37 (step @p80 :rule cnf_or_pos :args (@t82)) % 0.15/0.37 (step @p81 :rule reordering :premises (@p80) :args ((or @t79 @t71 (not @t82)))) % 0.15/0.37 (step @p82 :rule chain_m_resolution :premises (@p81 @p55 @p79) :args (@t71 @t81 (@list @t64 @t82))) % 0.15/0.37 (step @p83 :rule instantiate :premises (@p51) :args (@t78)) % 0.15/0.37 (step @p84 :rule cnf_or_pos :args (@t83)) % 0.15/0.37 (step @p85 :rule reordering :premises (@p84) :args ((or @t79 @t69 (not @t83)))) % 0.15/0.37 (step @p86 :rule chain_m_resolution :premises (@p85 @p55 @p83) :args (@t69 @t81 (@list @t64 @t83))) % 0.15/0.37 (step @p87 :rule instantiate :premises (@p50) :args (@t78)) % 0.15/0.37 (step @p88 :rule cnf_or_pos :args (@t84)) % 0.15/0.37 (step @p89 :rule reordering :premises (@p88) :args ((or @t79 @t73 (not @t84)))) % 0.15/0.37 (step @p90 :rule chain_m_resolution :premises (@p89 @p55 @p87) :args (@t73 @t81 (@list @t64 @t84))) % 0.15/0.37 (step @p91 :rule cnf_or_pos :args (@t77)) % 0.15/0.37 (step @p92 :rule reordering :premises (@p91) :args ((or @t65 @t74 @t70 @t72 @t68 @t76 (not @t77)))) % 0.15/0.37 (step @p93 :rule chain_m_resolution :premises (@p92 @p56 @p90 @p86 @p82 @p78 @p74) :args (@t76 (@list true false false false false false) (@list @t65 @t73 @t69 @t71 @t67 @t77))) % 0.15/0.37 (step @p94 :rule refl :args (tptp.sk17)) % 0.15/0.37 (step @p95 :rule symm :premises (@p93)) % 0.15/0.37 (step @p96 :rule refl :args (tptp.sk15)) % 0.15/0.37 (step @p97 :rule cong :premises (@p96 @p95 @p94 @p93) :args (@t65)) % 0.15/0.37 (step @p98 :rule false_intro :premises (@p56)) % 0.15/0.37 (step @p99 :rule symm :premises (@p98)) % 0.15/0.37 (step @p100 :rule trans :premises (@p99 @p97 @p58)) % 0.15/0.37 (step @p101 false :rule eq_resolve :premises (@p100 @p57)) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------