%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO082-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:16:18 AM UTC 2026 % Result : Unsatisfiable 15.51s 15.77s % Output : Proof 15.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO082-1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.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 23:18:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.74 --- Run --no-e-matching --full-saturate-quant at 6... % 15.51/15.77 % SZS status Unsatisfiable % 15.51/15.77 % SZS output start Proof % 15.51/15.77 ( % 15.51/15.77 (declare-sort $$unsorted 0) % 15.51/15.77 (declare-const tptp.sk15 $$unsorted) % 15.51/15.77 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.sk14 $$unsorted) % 15.51/15.77 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 15.51/15.77 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.open (-> $$unsorted Bool)) % 15.51/15.77 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.51/15.77 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 15.51/15.77 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 15.51/15.77 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 15.51/15.77 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 15.51/15.77 (declare-const tptp.closed (-> $$unsorted Bool)) % 15.51/15.77 (define @t1 () (@var "B" $$unsorted)) % 15.51/15.77 (define @t2 () (@var "C" $$unsorted)) % 15.51/15.77 (define @t3 () (@var "A" $$unsorted)) % 15.51/15.77 (define @t4 () (tptp.part_of @t3 @t1)) % 15.51/15.77 (define @t5 () (not @t4)) % 15.51/15.77 (define @t6 () (@list @t3 @t1 @t2)) % 15.51/15.77 (define @t7 () (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 15.51/15.77 (define @t8 () (tptp.ax0_sk1 @t3 @t1)) % 15.51/15.77 (define @t9 () (@list @t3 @t1)) % 15.51/15.77 (define @t10 () (@var "D" $$unsorted)) % 15.51/15.77 (define @t11 () (tptp.incident_c @t10 @t2)) % 15.51/15.77 (define @t12 () (tptp.incident_c @t10 @t1)) % 15.51/15.77 (define @t13 () (tptp.incident_c @t10 @t3)) % 15.51/15.77 (define @t14 () (tptp.sum @t1 @t2)) % 15.51/15.77 (define @t15 () (not (= @t3 @t14))) % 15.51/15.77 (define @t16 () (@list @t3 @t1 @t2 @t10)) % 15.51/15.77 (define @t17 () (not @t12)) % 15.51/15.77 (define @t18 () (not @t11)) % 15.51/15.77 (define @t19 () (= @t2 (tptp.sum @t1 @t3))) % 15.51/15.77 (define @t20 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 15.51/15.77 (define @t21 () (tptp.incident_c @t20 @t3)) % 15.51/15.77 (define @t22 () (tptp.incident_c @t20 @t1)) % 15.51/15.77 (define @t23 () (tptp.incident_c @t20 @t2)) % 15.51/15.77 (define @t24 () (not @t23)) % 15.51/15.77 (define @t25 () (not @t22)) % 15.51/15.77 (define @t26 () (not @t21)) % 15.51/15.77 (define @t27 () (tptp.incident_c @t3 @t1)) % 15.51/15.77 (define @t28 () (tptp.end_point @t3 @t1)) % 15.51/15.77 (define @t29 () (not @t28)) % 15.51/15.77 (define @t30 () (tptp.part_of @t10 @t2)) % 15.51/15.77 (define @t31 () (tptp.part_of @t2 @t10)) % 15.51/15.77 (define @t32 () (tptp.incident_c @t3 @t2)) % 15.51/15.77 (define @t33 () (not @t32)) % 15.51/15.77 (define @t34 () (not (tptp.part_of @t10 @t1))) % 15.51/15.77 (define @t35 () (not (tptp.part_of @t2 @t1))) % 15.51/15.77 (define @t36 () (tptp.ax0_sk3 @t1 @t3)) % 15.51/15.77 (define @t37 () (not @t27)) % 15.51/15.77 (define @t38 () (tptp.ax0_sk4 @t1 @t3)) % 15.51/15.77 (define @t39 () (tptp.inner_point @t3 @t1)) % 15.51/15.77 (define @t40 () (not @t39)) % 15.51/15.77 (define @t41 () (tptp.meet @t3 @t1 @t2)) % 15.51/15.77 (define @t42 () (not @t41)) % 15.51/15.77 (define @t43 () (tptp.end_point @t10 @t1)) % 15.51/15.77 (define @t44 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 15.51/15.77 (define @t45 () (tptp.closed @t3)) % 15.51/15.77 (define @t46 () (not @t45)) % 15.51/15.77 (define @t47 () (@list @t3)) % 15.51/15.77 (define @t48 () (tptp.open @t3)) % 15.51/15.77 (define @t49 () (@var "E" $$unsorted)) % 15.51/15.77 (define @t50 () (not (tptp.end_point @t49 @t2))) % 15.51/15.77 (define @t51 () (@list @t3 @t1 @t2 @t10 @t49)) % 15.51/15.77 (define @t52 () (tptp.ax0_sk10 @t3 @t1)) % 15.51/15.77 (define @t53 () (tptp.ax0_sk9 @t3 @t1)) % 15.51/15.77 (define @t54 () (tptp.ax0_sk11 @t3 @t1)) % 15.51/15.77 (define @t55 () (= @t1 @t3)) % 15.51/15.77 (define @t56 () (tptp.ax0_sk13 @t3 @t1)) % 15.51/15.77 (define @t57 () (tptp.incident_c @t56 @t3)) % 15.51/15.77 (define @t58 () (tptp.incident_c @t56 @t1)) % 15.51/15.77 (define @t59 () (or @t58 @t57 @t55)) % 15.51/15.77 (define @t60 () (forall @t9 @t59)) % 15.51/15.77 (define @t61 () (not @t58)) % 15.51/15.77 (define @t62 () (not @t57)) % 15.51/15.77 (define @t63 () (or @t62 @t61 @t55)) % 15.51/15.77 (define @t64 () (forall @t9 @t63)) % 15.51/15.77 (define @t65 () (tptp.part_of tptp.sk14 tptp.sk15)) % 15.51/15.77 (define @t66 () (tptp.part_of tptp.sk15 tptp.sk14)) % 15.51/15.77 (define @t67 () (= tptp.sk14 tptp.sk15)) % 15.51/15.77 (define @t68 () (@list tptp.sk14 tptp.sk15)) % 15.51/15.77 (define @t69 () (tptp.ax0_sk13 tptp.sk14 tptp.sk15)) % 15.51/15.77 (define @t70 () (tptp.incident_c @t69 tptp.sk15)) % 15.51/15.77 (define @t71 () (not @t70)) % 15.51/15.77 (define @t72 () (tptp.incident_c @t69 tptp.sk14)) % 15.51/15.77 (define @t73 () (not @t72)) % 15.51/15.77 (define @t74 () (or @t73 @t71 @t67)) % 15.51/15.77 (define @t75 () (not @t66)) % 15.51/15.77 (define @t76 () (or @t75 @t71 @t72)) % 15.51/15.77 (define @t77 () (or @t70 @t72 @t67)) % 15.51/15.77 (define @t78 () (not @t65)) % 15.51/15.77 (define @t79 () (or @t78 @t73 @t70)) % 15.51/15.77 (define @t80 () (not @t79)) % 15.51/15.77 (assume @p1 @t7) % 15.51/15.77 (assume @p2 (forall @t9 (or (tptp.incident_c @t8 @t3) @t4))) % 15.51/15.77 (assume @p3 (forall @t9 (or (not (tptp.incident_c @t8 @t1)) @t4))) % 15.51/15.77 (assume @p4 (forall @t16 (or @t15 (not @t13) @t12 @t11))) % 15.51/15.77 (assume @p5 (forall @t16 (or @t15 @t17 @t13))) % 15.51/15.77 (assume @p6 (forall @t16 (or @t15 @t18 @t13))) % 15.51/15.77 (assume @p7 (forall @t6 (or @t23 @t22 @t21 @t19))) % 15.51/15.77 (assume @p8 (forall @t6 (or @t23 @t24 @t19))) % 15.51/15.77 (assume @p9 (forall @t6 (or @t25 @t22 @t21 @t19))) % 15.51/15.77 (assume @p10 (forall @t6 (or @t26 @t22 @t21 @t19))) % 15.51/15.77 (assume @p11 (forall @t6 (or @t25 @t24 @t19))) % 15.51/15.77 (assume @p12 (forall @t6 (or @t26 @t24 @t19))) % 15.51/15.77 (assume @p13 (forall @t9 (or @t29 @t27))) % 15.51/15.77 (assume @p14 (forall @t16 (or @t29 @t35 @t34 @t33 (not (tptp.incident_c @t3 @t10)) @t31 @t30))) % 15.51/15.77 (assume @p15 (forall @t9 (or @t37 (tptp.part_of @t36 @t1) @t28))) % 15.51/15.77 (assume @p16 (forall @t9 (or @t37 (tptp.part_of @t38 @t1) @t28))) % 15.51/15.77 (assume @p17 (forall @t9 (or @t37 (tptp.incident_c @t3 @t36) @t28))) % 15.51/15.77 (assume @p18 (forall @t9 (or @t37 (tptp.incident_c @t3 @t38) @t28))) % 15.51/15.77 (assume @p19 (forall @t9 (or @t37 (not (tptp.part_of @t36 @t38)) @t28))) % 15.51/15.77 (assume @p20 (forall @t9 (or @t37 (not (tptp.part_of @t38 @t36)) @t28))) % 15.51/15.77 (assume @p21 (forall @t9 (or @t40 @t27))) % 15.51/15.77 (assume @p22 (forall @t9 (or @t40 @t29))) % 15.51/15.77 (assume @p23 (forall @t9 (or @t37 @t28 @t39))) % 15.51/15.77 (assume @p24 (forall @t6 (or @t42 @t27))) % 15.51/15.77 (assume @p25 (forall @t6 (or @t42 @t32))) % 15.51/15.77 (assume @p26 (forall @t16 (or @t42 @t17 @t18 @t43))) % 15.51/15.77 (assume @p27 (forall @t16 (or @t42 @t17 @t18 (tptp.end_point @t10 @t2)))) % 15.51/15.77 (assume @p28 (forall @t6 (or @t37 @t33 (tptp.incident_c @t44 @t1) @t41))) % 15.51/15.77 (assume @p29 (forall @t6 (or @t37 @t33 (tptp.incident_c @t44 @t2) @t41))) % 15.51/15.77 (assume @p30 (forall @t6 (or @t37 @t33 (not (tptp.end_point @t44 @t1)) (not (tptp.end_point @t44 @t2)) @t41))) % 15.51/15.77 (assume @p31 (forall @t9 (or @t46 (not (tptp.end_point @t1 @t3))))) % 15.51/15.77 (assume @p32 (forall @t47 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t45))) % 15.51/15.77 (assume @p33 (forall @t47 (or (not @t48) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 15.51/15.77 (assume @p34 (forall @t9 (or @t29 (tptp.open @t1)))) % 15.51/15.77 (assume @p35 (forall @t9 (or @t5 (= @t3 @t1) @t48))) % 15.51/15.77 (assume @p36 (forall @t51 (or @t5 @t35 @t34 (not (tptp.end_point @t49 @t3)) @t50 (not (tptp.end_point @t49 @t10)) @t31 @t30 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t10) (tptp.part_of @t10 @t3)))) % 15.51/15.77 (assume @p37 (forall @t47 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 15.51/15.77 (assume @p38 (forall @t9 (or @t40 (tptp.meet @t3 @t53 @t52)))) % 15.51/15.77 (assume @p39 (forall @t9 (or @t40 (= @t1 (tptp.sum @t53 @t52))))) % 15.51/15.77 (assume @p40 (forall @t16 (or @t29 (not (tptp.end_point @t2 @t1)) (not @t43) (= @t3 @t2) (= @t3 @t10) (= @t2 @t10)))) % 15.51/15.77 (assume @p41 (forall @t9 (or @t29 (tptp.end_point @t54 @t1)))) % 15.51/15.77 (assume @p42 (forall @t9 (or @t29 (not (= @t3 @t54))))) % 15.51/15.77 (assume @p43 (forall @t51 (or @t46 (not (tptp.meet @t1 @t2 @t10)) (not (= @t3 (tptp.sum @t2 @t10))) @t50 (tptp.meet @t49 @t2 @t10)))) % 15.51/15.77 (assume @p44 (forall @t6 (or @t42 (= (tptp.ax0_sk12 @t2 @t1) @t14)))) % 15.51/15.77 (assume @p45 @t60) % 15.51/15.77 (assume @p46 (forall @t9 (or @t58 @t61 @t55))) % 15.51/15.77 (assume @p47 (forall @t9 (or @t62 @t57 @t55))) % 15.51/15.77 (assume @p48 @t64) % 15.51/15.77 (assume @p49 @t65) % 15.51/15.77 (assume @p50 @t66) % 15.51/15.77 (assume @p51 (not @t67)) % 15.51/15.77 (step @p52 :rule eq-symm :args (@t1 @t3)) % 15.51/15.77 (step @p53 :rule refl :args (@t57)) % 15.51/15.77 (step @p54 :rule refl :args (@t58)) % 15.51/15.77 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t59)) % 15.51/15.77 (step @p56 :rule cong :premises (@p55) :args (@t60)) % 15.51/15.77 (step @p57 :rule eq_resolve :premises (@p45 @p56)) % 15.51/15.77 (step @p58 :rule instantiate :premises (@p57) :args (@t68)) % 15.51/15.77 (step @p59 :rule refl :args (@t61)) % 15.51/15.77 (step @p60 :rule refl :args (@t62)) % 15.51/15.77 (step @p61 :rule nary_cong :premises (@p60 @p59 @p52) :args (@t63)) % 15.51/15.77 (step @p62 :rule cong :premises (@p61) :args (@t64)) % 15.51/15.77 (step @p63 :rule eq_resolve :premises (@p48 @p62)) % 15.51/15.77 (step @p64 :rule instantiate :premises (@p63) :args (@t68)) % 15.51/15.77 (step @p65 :rule cnf_or_pos :args (@t74)) % 15.51/15.77 (step @p66 :rule reordering :premises (@p65) :args ((or @t67 @t73 @t71 (not @t74)))) % 15.51/15.77 (step @p67 :rule instantiate :premises (@p1) :args ((@list tptp.sk15 tptp.sk14 @t69))) % 15.51/15.77 (step @p68 :rule cnf_or_pos :args (@t76)) % 15.51/15.77 (step @p69 :rule reordering :premises (@p68) :args ((or @t75 @t72 @t71 (not @t76)))) % 15.51/15.77 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p50 @p66 @p64 @p51) :args (@t71 (@list false false true false true) (@list @t76 @t66 @t72 @t74 @t67))) % 15.51/15.77 (step @p71 :rule cnf_or_pos :args (@t77)) % 15.51/15.77 (step @p72 :rule reordering :premises (@p71) :args ((or @t67 @t70 @t72 (not @t77)))) % 15.51/15.77 (step @p73 :rule chain_m_resolution :premises (@p72 @p51 @p70 @p58) :args (@t72 (@list true true false) (@list @t67 @t70 @t77))) % 15.51/15.77 (step @p74 :rule cnf_or_pos :args (@t79)) % 15.51/15.77 (step @p75 :rule reordering :premises (@p74) :args ((or @t78 @t70 @t73 @t80))) % 15.51/15.77 (step @p76 :rule chain_m_resolution :premises (@p75 @p49 @p70 @p73) :args (@t80 (@list false true false) (@list @t65 @t70 @t72))) % 15.51/15.77 (assume-push @p83 @t7) % 15.51/15.77 (step @p78 :rule instantiate :premises (@p1) :args ((@list tptp.sk14 tptp.sk15 @t69))) % 15.51/15.77 (step-pop @p84 :rule scope :premises (@p78)) % 15.51/15.77 (step @p79 :rule process_scope :premises (@p84) :args (@t79)) % 15.51/15.77 (step @p81 :rule implies_elim :premises (@p79)) % 15.51/15.77 (step @p82 false :rule chain_m_resolution :premises (@p81 @p76 @p1) :args (false (@list true false) (@list @t79 @t7))) % 15.51/15.77 ) % 15.51/15.77 % SZS output end Proof % 15.51/15.77 % cvc5 exiting %------------------------------------------------------------------------------