%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO084-1 : 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 : n014.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 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO084-1 : 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 % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:18:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Unsatisfiable % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.sk16 $$unsorted) % 0.44/0.66 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.sk15 $$unsorted) % 0.44/0.66 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.sk14 $$unsorted) % 0.44/0.66 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.open (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.sk17 $$unsorted) % 0.44/0.66 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.44/0.66 (define @t1 () (@var "B" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "C" $$unsorted)) % 0.44/0.66 (define @t3 () (@var "A" $$unsorted)) % 0.44/0.66 (define @t4 () (tptp.part_of @t3 @t1)) % 0.44/0.66 (define @t5 () (not @t4)) % 0.44/0.66 (define @t6 () (@list @t3 @t1 @t2)) % 0.44/0.66 (define @t7 () (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 0.44/0.66 (define @t8 () (tptp.ax0_sk1 @t3 @t1)) % 0.44/0.66 (define @t9 () (@list @t3 @t1)) % 0.44/0.66 (define @t10 () (@var "D" $$unsorted)) % 0.44/0.66 (define @t11 () (tptp.incident_c @t10 @t2)) % 0.44/0.66 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.44/0.66 (define @t13 () (tptp.incident_c @t10 @t3)) % 0.44/0.66 (define @t14 () (not @t13)) % 0.44/0.66 (define @t15 () (tptp.sum @t1 @t2)) % 0.44/0.66 (define @t16 () (not (= @t3 @t15))) % 0.44/0.66 (define @t17 () (or @t16 @t14 @t12 @t11)) % 0.44/0.66 (define @t18 () (@list @t3 @t1 @t2 @t10)) % 0.44/0.66 (define @t19 () (forall @t18 @t17)) % 0.44/0.66 (define @t20 () (not @t12)) % 0.44/0.66 (define @t21 () (not @t11)) % 0.44/0.66 (define @t22 () (= @t2 (tptp.sum @t1 @t3))) % 0.44/0.66 (define @t23 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 0.44/0.66 (define @t24 () (tptp.incident_c @t23 @t3)) % 0.44/0.66 (define @t25 () (tptp.incident_c @t23 @t1)) % 0.44/0.66 (define @t26 () (tptp.incident_c @t23 @t2)) % 0.44/0.66 (define @t27 () (not @t26)) % 0.44/0.66 (define @t28 () (not @t25)) % 0.44/0.66 (define @t29 () (not @t24)) % 0.44/0.66 (define @t30 () (tptp.incident_c @t3 @t1)) % 0.44/0.66 (define @t31 () (tptp.end_point @t3 @t1)) % 0.44/0.66 (define @t32 () (not @t31)) % 0.44/0.66 (define @t33 () (tptp.part_of @t10 @t2)) % 0.44/0.66 (define @t34 () (tptp.part_of @t2 @t10)) % 0.44/0.66 (define @t35 () (tptp.incident_c @t3 @t2)) % 0.44/0.66 (define @t36 () (not @t35)) % 0.44/0.66 (define @t37 () (not (tptp.part_of @t10 @t1))) % 0.44/0.66 (define @t38 () (not (tptp.part_of @t2 @t1))) % 0.44/0.66 (define @t39 () (tptp.ax0_sk3 @t1 @t3)) % 0.44/0.66 (define @t40 () (not @t30)) % 0.44/0.66 (define @t41 () (tptp.ax0_sk4 @t1 @t3)) % 0.44/0.66 (define @t42 () (tptp.inner_point @t3 @t1)) % 0.44/0.66 (define @t43 () (not @t42)) % 0.44/0.66 (define @t44 () (tptp.meet @t3 @t1 @t2)) % 0.44/0.66 (define @t45 () (not @t44)) % 0.44/0.66 (define @t46 () (tptp.end_point @t10 @t1)) % 0.44/0.66 (define @t47 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 0.44/0.66 (define @t48 () (tptp.closed @t3)) % 0.44/0.66 (define @t49 () (not @t48)) % 0.44/0.66 (define @t50 () (@list @t3)) % 0.44/0.66 (define @t51 () (tptp.open @t3)) % 0.44/0.66 (define @t52 () (@var "E" $$unsorted)) % 0.44/0.66 (define @t53 () (not (tptp.end_point @t52 @t2))) % 0.44/0.66 (define @t54 () (@list @t3 @t1 @t2 @t10 @t52)) % 0.44/0.66 (define @t55 () (tptp.ax0_sk10 @t3 @t1)) % 0.44/0.66 (define @t56 () (tptp.ax0_sk9 @t3 @t1)) % 0.44/0.66 (define @t57 () (tptp.ax0_sk11 @t3 @t1)) % 0.44/0.66 (define @t58 () (= @t1 @t3)) % 0.44/0.66 (define @t59 () (tptp.ax0_sk13 @t3 @t1)) % 0.44/0.66 (define @t60 () (tptp.incident_c @t59 @t3)) % 0.44/0.66 (define @t61 () (tptp.incident_c @t59 @t1)) % 0.44/0.66 (define @t62 () (not @t61)) % 0.44/0.66 (define @t63 () (not @t60)) % 0.44/0.66 (define @t64 () (tptp.part_of tptp.sk14 tptp.sk16)) % 0.44/0.66 (define @t65 () (tptp.part_of tptp.sk15 tptp.sk16)) % 0.44/0.66 (define @t66 () (tptp.sum tptp.sk14 tptp.sk15)) % 0.44/0.66 (define @t67 () (tptp.part_of @t66 tptp.sk16)) % 0.44/0.66 (define @t68 () (not (tptp.incident_c @t10 @t15))) % 0.44/0.66 (define @t69 () (not (= @t15 @t15))) % 0.44/0.66 (define @t70 () (or @t69 @t68 @t12 @t11)) % 0.44/0.66 (define @t71 () (@list @t1 @t2 @t10)) % 0.44/0.66 (define @t72 () (or @t16 @t16 @t14 @t12 @t11)) % 0.44/0.66 (define @t73 () (forall @t50 @t17)) % 0.44/0.66 (define @t74 () (forall @t71 @t73)) % 0.44/0.66 (define @t75 () (forall (@list @t1 @t2 @t10 @t3) @t17)) % 0.44/0.66 (define @t76 () (tptp.ax0_sk1 @t66 tptp.sk16)) % 0.44/0.66 (define @t77 () (@list @t66 tptp.sk16)) % 0.44/0.66 (define @t78 () (tptp.incident_c @t76 tptp.sk16)) % 0.44/0.66 (define @t79 () (not @t78)) % 0.44/0.66 (define @t80 () (or @t79 @t67)) % 0.44/0.66 (define @t81 () (@list true false)) % 0.44/0.66 (define @t82 () (tptp.incident_c @t76 tptp.sk14)) % 0.44/0.66 (define @t83 () (not @t82)) % 0.44/0.66 (define @t84 () (not @t64)) % 0.44/0.66 (define @t85 () (or @t84 @t83 @t78)) % 0.44/0.66 (define @t86 () (@list false true false)) % 0.44/0.66 (define @t87 () (tptp.incident_c @t76 @t66)) % 0.44/0.66 (define @t88 () (or @t87 @t67)) % 0.44/0.66 (define @t89 () (tptp.incident_c @t76 tptp.sk15)) % 0.44/0.66 (define @t90 () (not @t87)) % 0.44/0.66 (define @t91 () (or @t90 @t82 @t89)) % 0.44/0.66 (define @t92 () (not @t89)) % 0.44/0.66 (define @t93 () (not @t65)) % 0.44/0.66 (define @t94 () (or @t93 @t92 @t78)) % 0.44/0.66 (define @t95 () (not @t94)) % 0.44/0.66 (assume @p1 @t7) % 0.44/0.66 (assume @p2 (forall @t9 (or (tptp.incident_c @t8 @t3) @t4))) % 0.44/0.66 (assume @p3 (forall @t9 (or (not (tptp.incident_c @t8 @t1)) @t4))) % 0.44/0.66 (assume @p4 @t19) % 0.44/0.66 (assume @p5 (forall @t18 (or @t16 @t20 @t13))) % 0.44/0.66 (assume @p6 (forall @t18 (or @t16 @t21 @t13))) % 0.44/0.66 (assume @p7 (forall @t6 (or @t26 @t25 @t24 @t22))) % 0.44/0.66 (assume @p8 (forall @t6 (or @t26 @t27 @t22))) % 0.44/0.66 (assume @p9 (forall @t6 (or @t28 @t25 @t24 @t22))) % 0.44/0.66 (assume @p10 (forall @t6 (or @t29 @t25 @t24 @t22))) % 0.44/0.66 (assume @p11 (forall @t6 (or @t28 @t27 @t22))) % 0.44/0.66 (assume @p12 (forall @t6 (or @t29 @t27 @t22))) % 0.44/0.66 (assume @p13 (forall @t9 (or @t32 @t30))) % 0.44/0.66 (assume @p14 (forall @t18 (or @t32 @t38 @t37 @t36 (not (tptp.incident_c @t3 @t10)) @t34 @t33))) % 0.44/0.66 (assume @p15 (forall @t9 (or @t40 (tptp.part_of @t39 @t1) @t31))) % 0.44/0.66 (assume @p16 (forall @t9 (or @t40 (tptp.part_of @t41 @t1) @t31))) % 0.44/0.66 (assume @p17 (forall @t9 (or @t40 (tptp.incident_c @t3 @t39) @t31))) % 0.44/0.66 (assume @p18 (forall @t9 (or @t40 (tptp.incident_c @t3 @t41) @t31))) % 0.44/0.66 (assume @p19 (forall @t9 (or @t40 (not (tptp.part_of @t39 @t41)) @t31))) % 0.44/0.66 (assume @p20 (forall @t9 (or @t40 (not (tptp.part_of @t41 @t39)) @t31))) % 0.44/0.66 (assume @p21 (forall @t9 (or @t43 @t30))) % 0.44/0.66 (assume @p22 (forall @t9 (or @t43 @t32))) % 0.44/0.66 (assume @p23 (forall @t9 (or @t40 @t31 @t42))) % 0.44/0.66 (assume @p24 (forall @t6 (or @t45 @t30))) % 0.44/0.66 (assume @p25 (forall @t6 (or @t45 @t35))) % 0.44/0.66 (assume @p26 (forall @t18 (or @t45 @t20 @t21 @t46))) % 0.44/0.66 (assume @p27 (forall @t18 (or @t45 @t20 @t21 (tptp.end_point @t10 @t2)))) % 0.44/0.66 (assume @p28 (forall @t6 (or @t40 @t36 (tptp.incident_c @t47 @t1) @t44))) % 0.44/0.66 (assume @p29 (forall @t6 (or @t40 @t36 (tptp.incident_c @t47 @t2) @t44))) % 0.44/0.66 (assume @p30 (forall @t6 (or @t40 @t36 (not (tptp.end_point @t47 @t1)) (not (tptp.end_point @t47 @t2)) @t44))) % 0.44/0.66 (assume @p31 (forall @t9 (or @t49 (not (tptp.end_point @t1 @t3))))) % 0.44/0.66 (assume @p32 (forall @t50 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t48))) % 0.44/0.66 (assume @p33 (forall @t50 (or (not @t51) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 0.44/0.66 (assume @p34 (forall @t9 (or @t32 (tptp.open @t1)))) % 0.44/0.66 (assume @p35 (forall @t9 (or @t5 (= @t3 @t1) @t51))) % 0.44/0.66 (assume @p36 (forall @t54 (or @t5 @t38 @t37 (not (tptp.end_point @t52 @t3)) @t53 (not (tptp.end_point @t52 @t10)) @t34 @t33 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t10) (tptp.part_of @t10 @t3)))) % 0.44/0.66 (assume @p37 (forall @t50 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 0.44/0.66 (assume @p38 (forall @t9 (or @t43 (tptp.meet @t3 @t56 @t55)))) % 0.44/0.66 (assume @p39 (forall @t9 (or @t43 (= @t1 (tptp.sum @t56 @t55))))) % 0.44/0.66 (assume @p40 (forall @t18 (or @t32 (not (tptp.end_point @t2 @t1)) (not @t46) (= @t3 @t2) (= @t3 @t10) (= @t2 @t10)))) % 0.44/0.66 (assume @p41 (forall @t9 (or @t32 (tptp.end_point @t57 @t1)))) % 0.44/0.66 (assume @p42 (forall @t9 (or @t32 (not (= @t3 @t57))))) % 0.44/0.66 (assume @p43 (forall @t54 (or @t49 (not (tptp.meet @t1 @t2 @t10)) (not (= @t3 (tptp.sum @t2 @t10))) @t53 (tptp.meet @t52 @t2 @t10)))) % 0.44/0.66 (assume @p44 (forall @t6 (or @t45 (= (tptp.ax0_sk12 @t2 @t1) @t15)))) % 0.44/0.66 (assume @p45 (forall @t9 (or @t61 @t60 @t58))) % 0.44/0.66 (assume @p46 (forall @t9 (or @t61 @t62 @t58))) % 0.44/0.66 (assume @p47 (forall @t9 (or @t63 @t60 @t58))) % 0.44/0.66 (assume @p48 (forall @t9 (or @t63 @t62 @t58))) % 0.44/0.66 (assume @p49 @t64) % 0.44/0.66 (assume @p50 @t65) % 0.44/0.66 (assume @p51 (tptp.meet tptp.sk17 tptp.sk14 tptp.sk15)) % 0.44/0.66 (assume @p52 (not @t67)) % 0.44/0.66 (step @p53 :rule aci_norm :args ((= (or false @t68 @t12 @t11) (or @t68 @t12 @t11)))) % 0.44/0.66 (step @p54 :rule refl :args (@t11)) % 0.44/0.66 (step @p55 :rule refl :args (@t12)) % 0.44/0.66 (step @p56 :rule refl :args (@t68)) % 0.44/0.66 (step @p57 :rule evaluate :args ((not true))) % 0.44/0.66 (step @p58 :rule eq-refl :args (@t15)) % 0.44/0.66 (step @p59 :rule cong :premises (@p58) :args (@t69)) % 0.44/0.66 (step @p60 :rule trans :premises (@p59 @p57)) % 0.44/0.66 (step @p61 :rule nary_cong :premises (@p60 @p56 @p55 @p54) :args (@t70)) % 0.44/0.66 (step @p62 :rule trans :premises (@p61 @p53)) % 0.44/0.66 (step @p63 :rule cong :premises (@p62) :args ((forall @t71 @t70))) % 0.44/0.66 (step @p64 :rule quant-var-elim-eq :args ((= (forall @t50 @t72) @t70))) % 0.44/0.66 (step @p65 :rule aci_norm :args ((= @t17 @t72))) % 0.44/0.66 (step @p66 :rule cong :premises (@p65) :args (@t73)) % 0.44/0.66 (step @p67 :rule trans :premises (@p66 @p64)) % 0.44/0.66 (step @p68 :rule cong :premises (@p67) :args (@t74)) % 0.44/0.66 (step @p69 :rule quant-merge-prenex :args ((= @t74 @t75))) % 0.44/0.66 (step @p70 :rule symm :premises (@p69)) % 0.44/0.66 (step @p71 :rule quant_var_reordering :args ((= @t19 @t75))) % 0.44/0.66 (step @p72 :rule trans :premises (@p71 @p70 @p68)) % 0.44/0.66 (step @p73 :rule trans :premises (@p72 @p63)) % 0.44/0.66 (step @p74 :rule eq_resolve :premises (@p4 @p73)) % 0.44/0.66 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.sk14 tptp.sk15 @t76))) % 0.44/0.66 (step @p76 :rule instantiate :premises (@p1) :args ((@list tptp.sk14 tptp.sk16 @t76))) % 0.44/0.66 (step @p77 :rule instantiate :premises (@p3) :args (@t77)) % 0.44/0.66 (step @p78 :rule cnf_or_pos :args (@t80)) % 0.44/0.66 (step @p79 :rule reordering :premises (@p78) :args ((or @t67 @t79 (not @t80)))) % 0.44/0.66 (step @p80 :rule chain_m_resolution :premises (@p79 @p52 @p77) :args (@t79 @t81 (@list @t67 @t80))) % 0.44/0.66 (step @p81 :rule cnf_or_pos :args (@t85)) % 0.44/0.66 (step @p82 :rule reordering :premises (@p81) :args ((or @t84 @t78 @t83 (not @t85)))) % 0.44/0.66 (step @p83 :rule chain_m_resolution :premises (@p82 @p49 @p80 @p76) :args (@t83 @t86 (@list @t64 @t78 @t85))) % 0.44/0.66 (step @p84 :rule instantiate :premises (@p2) :args (@t77)) % 0.44/0.66 (step @p85 :rule cnf_or_pos :args (@t88)) % 0.44/0.66 (step @p86 :rule reordering :premises (@p85) :args ((or @t67 @t87 (not @t88)))) % 0.44/0.66 (step @p87 :rule chain_m_resolution :premises (@p86 @p52 @p84) :args (@t87 @t81 (@list @t67 @t88))) % 0.44/0.66 (step @p88 :rule cnf_or_pos :args (@t91)) % 0.44/0.66 (step @p89 :rule reordering :premises (@p88) :args ((or @t90 @t82 @t89 (not @t91)))) % 0.44/0.66 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p83 @p75) :args (@t89 @t86 (@list @t87 @t82 @t91))) % 0.44/0.66 (step @p91 :rule cnf_or_pos :args (@t94)) % 0.44/0.66 (step @p92 :rule reordering :premises (@p91) :args ((or @t93 @t78 @t92 @t95))) % 0.44/0.66 (step @p93 :rule chain_m_resolution :premises (@p92 @p50 @p80 @p90) :args (@t95 @t86 (@list @t65 @t78 @t89))) % 0.44/0.66 (assume-push @p100 @t7) % 0.44/0.66 (step @p95 :rule instantiate :premises (@p1) :args ((@list tptp.sk15 tptp.sk16 @t76))) % 0.44/0.66 (step-pop @p101 :rule scope :premises (@p95)) % 0.44/0.66 (step @p96 :rule process_scope :premises (@p101) :args (@t94)) % 0.44/0.66 (step @p98 :rule implies_elim :premises (@p96)) % 0.44/0.66 (step @p99 false :rule chain_m_resolution :premises (@p98 @p93 @p1) :args (false @t81 (@list @t94 @t7))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------