%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO087-1 : 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 : n003.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 08:16:19 AM UTC 2026 % Result : Unsatisfiable 16.02s 16.28s % Output : Proof 16.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO087-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 23:18:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 16.02/16.28 % SZS status Unsatisfiable % 16.02/16.28 % SZS output start Proof % 16.02/16.29 ( % 16.02/16.29 (declare-sort $$unsorted 0) % 16.02/16.29 (declare-const tptp.sk15 $$unsorted) % 16.02/16.29 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.sk16 $$unsorted) % 16.02/16.29 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.sk14 $$unsorted) % 16.02/16.29 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 16.02/16.29 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.open (-> $$unsorted Bool)) % 16.02/16.29 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.02/16.29 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 16.02/16.29 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 16.02/16.29 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 16.02/16.29 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 16.02/16.29 (declare-const tptp.closed (-> $$unsorted Bool)) % 16.02/16.29 (define @t1 () (@var "B" $$unsorted)) % 16.02/16.29 (define @t2 () (@var "C" $$unsorted)) % 16.02/16.29 (define @t3 () (@var "A" $$unsorted)) % 16.02/16.29 (define @t4 () (tptp.part_of @t3 @t1)) % 16.02/16.29 (define @t5 () (not @t4)) % 16.02/16.29 (define @t6 () (@list @t3 @t1 @t2)) % 16.02/16.29 (define @t7 () (tptp.ax0_sk1 @t3 @t1)) % 16.02/16.29 (define @t8 () (@list @t3 @t1)) % 16.02/16.29 (define @t9 () (@var "D" $$unsorted)) % 16.02/16.29 (define @t10 () (tptp.incident_c @t9 @t2)) % 16.02/16.29 (define @t11 () (tptp.incident_c @t9 @t1)) % 16.02/16.29 (define @t12 () (tptp.incident_c @t9 @t3)) % 16.02/16.29 (define @t13 () (tptp.sum @t1 @t2)) % 16.02/16.29 (define @t14 () (not (= @t3 @t13))) % 16.02/16.29 (define @t15 () (@list @t3 @t1 @t2 @t9)) % 16.02/16.29 (define @t16 () (not @t11)) % 16.02/16.29 (define @t17 () (or @t14 @t16 @t12)) % 16.02/16.29 (define @t18 () (forall @t15 @t17)) % 16.02/16.29 (define @t19 () (not @t10)) % 16.02/16.29 (define @t20 () (= @t2 (tptp.sum @t1 @t3))) % 16.02/16.29 (define @t21 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 16.02/16.29 (define @t22 () (tptp.incident_c @t21 @t3)) % 16.02/16.29 (define @t23 () (tptp.incident_c @t21 @t1)) % 16.02/16.29 (define @t24 () (tptp.incident_c @t21 @t2)) % 16.02/16.29 (define @t25 () (not @t24)) % 16.02/16.29 (define @t26 () (not @t23)) % 16.02/16.29 (define @t27 () (not @t22)) % 16.02/16.29 (define @t28 () (tptp.incident_c @t3 @t1)) % 16.02/16.29 (define @t29 () (tptp.end_point @t3 @t1)) % 16.02/16.29 (define @t30 () (not @t29)) % 16.02/16.29 (define @t31 () (tptp.part_of @t9 @t2)) % 16.02/16.29 (define @t32 () (tptp.part_of @t2 @t9)) % 16.02/16.29 (define @t33 () (tptp.incident_c @t3 @t2)) % 16.02/16.29 (define @t34 () (not @t33)) % 16.02/16.29 (define @t35 () (not (tptp.part_of @t9 @t1))) % 16.02/16.29 (define @t36 () (not (tptp.part_of @t2 @t1))) % 16.02/16.29 (define @t37 () (tptp.ax0_sk3 @t1 @t3)) % 16.02/16.29 (define @t38 () (not @t28)) % 16.02/16.29 (define @t39 () (tptp.ax0_sk4 @t1 @t3)) % 16.02/16.29 (define @t40 () (tptp.inner_point @t3 @t1)) % 16.02/16.29 (define @t41 () (not @t40)) % 16.02/16.29 (define @t42 () (tptp.meet @t3 @t1 @t2)) % 16.02/16.29 (define @t43 () (not @t42)) % 16.02/16.29 (define @t44 () (tptp.end_point @t9 @t1)) % 16.02/16.29 (define @t45 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 16.02/16.29 (define @t46 () (tptp.closed @t3)) % 16.02/16.29 (define @t47 () (not @t46)) % 16.02/16.29 (define @t48 () (@list @t3)) % 16.02/16.29 (define @t49 () (tptp.open @t3)) % 16.02/16.29 (define @t50 () (@var "E" $$unsorted)) % 16.02/16.29 (define @t51 () (not (tptp.end_point @t50 @t2))) % 16.02/16.29 (define @t52 () (@list @t3 @t1 @t2 @t9 @t50)) % 16.02/16.29 (define @t53 () (tptp.ax0_sk10 @t3 @t1)) % 16.02/16.29 (define @t54 () (tptp.ax0_sk9 @t3 @t1)) % 16.02/16.29 (define @t55 () (tptp.ax0_sk11 @t3 @t1)) % 16.02/16.29 (define @t56 () (= @t1 @t3)) % 16.02/16.29 (define @t57 () (tptp.ax0_sk13 @t3 @t1)) % 16.02/16.29 (define @t58 () (tptp.incident_c @t57 @t3)) % 16.02/16.29 (define @t59 () (tptp.incident_c @t57 @t1)) % 16.02/16.29 (define @t60 () (not @t59)) % 16.02/16.29 (define @t61 () (not @t58)) % 16.02/16.29 (define @t62 () (tptp.part_of tptp.sk14 tptp.sk15)) % 16.02/16.29 (define @t63 () (tptp.meet tptp.sk16 tptp.sk14 tptp.sk15)) % 16.02/16.29 (define @t64 () (@list tptp.sk14 tptp.sk14 tptp.sk14)) % 16.02/16.29 (define @t65 () (@list tptp.sk16 tptp.sk14 tptp.sk14)) % 16.02/16.29 (define @t66 () (tptp.incident_c tptp.sk16 tptp.sk14)) % 16.02/16.29 (define @t67 () (not @t63)) % 16.02/16.29 (define @t68 () (or @t67 @t66)) % 16.02/16.29 (define @t69 () (@list false false)) % 16.02/16.29 (define @t70 () (tptp.meet tptp.sk16 tptp.sk14 tptp.sk14)) % 16.02/16.29 (define @t71 () (tptp.ax0_sk5 tptp.sk14 tptp.sk14 tptp.sk16)) % 16.02/16.29 (define @t72 () (tptp.incident_c @t71 tptp.sk14)) % 16.02/16.29 (define @t73 () (not @t66)) % 16.02/16.29 (define @t74 () (or @t73 @t73 @t72 @t70)) % 16.02/16.29 (define @t75 () (tptp.end_point @t71 tptp.sk14)) % 16.02/16.29 (define @t76 () (not @t75)) % 16.02/16.29 (define @t77 () (or @t73 @t73 @t76 @t76 @t70)) % 16.02/16.29 (define @t78 () (tptp.incident_c @t71 tptp.sk15)) % 16.02/16.29 (define @t79 () (not @t72)) % 16.02/16.29 (define @t80 () (not @t62)) % 16.02/16.29 (define @t81 () (or @t80 @t79 @t78)) % 16.02/16.29 (define @t82 () (not @t78)) % 16.02/16.29 (define @t83 () (or @t67 @t79 @t82 @t75)) % 16.02/16.29 (define @t84 () (not @t70)) % 16.02/16.29 (define @t85 () (tptp.sum tptp.sk14 tptp.sk14)) % 16.02/16.29 (define @t86 () (tptp.meet tptp.sk16 @t85 @t85)) % 16.02/16.29 (define @t87 () (= tptp.sk14 @t85)) % 16.02/16.29 (define @t88 () (not @t87)) % 16.02/16.29 (define @t89 () (not @t86)) % 16.02/16.29 (define @t90 () (and @t87 @t89)) % 16.02/16.29 (define @t91 () (tptp.incident_c @t9 @t13)) % 16.02/16.29 (define @t92 () (not (= @t13 @t13))) % 16.02/16.29 (define @t93 () (or @t92 @t16 @t91)) % 16.02/16.29 (define @t94 () (@list @t1 @t2 @t9)) % 16.02/16.29 (define @t95 () (or @t14 @t14 @t16 @t12)) % 16.02/16.29 (define @t96 () (forall @t48 @t17)) % 16.02/16.29 (define @t97 () (forall @t94 @t96)) % 16.02/16.29 (define @t98 () (forall (@list @t1 @t2 @t9 @t3) @t17)) % 16.02/16.29 (define @t99 () (tptp.ax0_sk8 tptp.sk14)) % 16.02/16.29 (define @t100 () (@list @t99 tptp.sk14)) % 16.02/16.29 (define @t101 () (tptp.incident_c @t99 tptp.sk14)) % 16.02/16.29 (define @t102 () (tptp.inner_point @t99 tptp.sk14)) % 16.02/16.29 (define @t103 () (not @t102)) % 16.02/16.29 (define @t104 () (or @t103 @t101)) % 16.02/16.29 (define @t105 () (tptp.incident_c @t99 @t85)) % 16.02/16.29 (define @t106 () (not @t101)) % 16.02/16.29 (define @t107 () (or @t106 @t105)) % 16.02/16.29 (define @t108 () (tptp.end_point @t99 @t85)) % 16.02/16.29 (define @t109 () (not @t105)) % 16.02/16.29 (define @t110 () (or @t89 @t109 @t109 @t108)) % 16.02/16.29 (define @t111 () (tptp.end_point @t99 tptp.sk14)) % 16.02/16.29 (define @t112 () (not @t111)) % 16.02/16.29 (define @t113 () (or @t103 @t112)) % 16.02/16.29 (define @t114 () (not @t108)) % 16.02/16.29 (define @t115 () (and @t87 @t112)) % 16.02/16.29 (define @t116 () (tptp.incident_c (tptp.ax0_sk2 tptp.sk14 tptp.sk14 tptp.sk14) tptp.sk14)) % 16.02/16.29 (define @t117 () (or @t116 @t116 @t116 @t87)) % 16.02/16.29 (define @t118 () (not @t116)) % 16.02/16.29 (define @t119 () (or @t118 @t118 @t87)) % 16.02/16.29 (assume @p1 (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 16.02/16.29 (assume @p2 (forall @t8 (or (tptp.incident_c @t7 @t3) @t4))) % 16.02/16.29 (assume @p3 (forall @t8 (or (not (tptp.incident_c @t7 @t1)) @t4))) % 16.02/16.29 (assume @p4 (forall @t15 (or @t14 (not @t12) @t11 @t10))) % 16.02/16.29 (assume @p5 @t18) % 16.02/16.29 (assume @p6 (forall @t15 (or @t14 @t19 @t12))) % 16.02/16.29 (assume @p7 (forall @t6 (or @t24 @t23 @t22 @t20))) % 16.02/16.29 (assume @p8 (forall @t6 (or @t24 @t25 @t20))) % 16.02/16.29 (assume @p9 (forall @t6 (or @t26 @t23 @t22 @t20))) % 16.02/16.29 (assume @p10 (forall @t6 (or @t27 @t23 @t22 @t20))) % 16.02/16.29 (assume @p11 (forall @t6 (or @t26 @t25 @t20))) % 16.02/16.29 (assume @p12 (forall @t6 (or @t27 @t25 @t20))) % 16.02/16.29 (assume @p13 (forall @t8 (or @t30 @t28))) % 16.02/16.29 (assume @p14 (forall @t15 (or @t30 @t36 @t35 @t34 (not (tptp.incident_c @t3 @t9)) @t32 @t31))) % 16.02/16.29 (assume @p15 (forall @t8 (or @t38 (tptp.part_of @t37 @t1) @t29))) % 16.02/16.29 (assume @p16 (forall @t8 (or @t38 (tptp.part_of @t39 @t1) @t29))) % 16.02/16.29 (assume @p17 (forall @t8 (or @t38 (tptp.incident_c @t3 @t37) @t29))) % 16.02/16.29 (assume @p18 (forall @t8 (or @t38 (tptp.incident_c @t3 @t39) @t29))) % 16.02/16.29 (assume @p19 (forall @t8 (or @t38 (not (tptp.part_of @t37 @t39)) @t29))) % 16.02/16.29 (assume @p20 (forall @t8 (or @t38 (not (tptp.part_of @t39 @t37)) @t29))) % 16.02/16.29 (assume @p21 (forall @t8 (or @t41 @t28))) % 16.02/16.29 (assume @p22 (forall @t8 (or @t41 @t30))) % 16.02/16.29 (assume @p23 (forall @t8 (or @t38 @t29 @t40))) % 16.02/16.29 (assume @p24 (forall @t6 (or @t43 @t28))) % 16.02/16.29 (assume @p25 (forall @t6 (or @t43 @t33))) % 16.02/16.29 (assume @p26 (forall @t15 (or @t43 @t16 @t19 @t44))) % 16.02/16.29 (assume @p27 (forall @t15 (or @t43 @t16 @t19 (tptp.end_point @t9 @t2)))) % 16.02/16.29 (assume @p28 (forall @t6 (or @t38 @t34 (tptp.incident_c @t45 @t1) @t42))) % 16.02/16.29 (assume @p29 (forall @t6 (or @t38 @t34 (tptp.incident_c @t45 @t2) @t42))) % 16.02/16.29 (assume @p30 (forall @t6 (or @t38 @t34 (not (tptp.end_point @t45 @t1)) (not (tptp.end_point @t45 @t2)) @t42))) % 16.02/16.29 (assume @p31 (forall @t8 (or @t47 (not (tptp.end_point @t1 @t3))))) % 16.02/16.29 (assume @p32 (forall @t48 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t46))) % 16.02/16.29 (assume @p33 (forall @t48 (or (not @t49) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 16.02/16.29 (assume @p34 (forall @t8 (or @t30 (tptp.open @t1)))) % 16.02/16.29 (assume @p35 (forall @t8 (or @t5 (= @t3 @t1) @t49))) % 16.02/16.29 (assume @p36 (forall @t52 (or @t5 @t36 @t35 (not (tptp.end_point @t50 @t3)) @t51 (not (tptp.end_point @t50 @t9)) @t32 @t31 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t9) (tptp.part_of @t9 @t3)))) % 16.02/16.29 (assume @p37 (forall @t48 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 16.02/16.29 (assume @p38 (forall @t8 (or @t41 (tptp.meet @t3 @t54 @t53)))) % 16.02/16.29 (assume @p39 (forall @t8 (or @t41 (= @t1 (tptp.sum @t54 @t53))))) % 16.02/16.29 (assume @p40 (forall @t15 (or @t30 (not (tptp.end_point @t2 @t1)) (not @t44) (= @t3 @t2) (= @t3 @t9) (= @t2 @t9)))) % 16.02/16.29 (assume @p41 (forall @t8 (or @t30 (tptp.end_point @t55 @t1)))) % 16.02/16.29 (assume @p42 (forall @t8 (or @t30 (not (= @t3 @t55))))) % 16.02/16.29 (assume @p43 (forall @t52 (or @t47 (not (tptp.meet @t1 @t2 @t9)) (not (= @t3 (tptp.sum @t2 @t9))) @t51 (tptp.meet @t50 @t2 @t9)))) % 16.02/16.29 (assume @p44 (forall @t6 (or @t43 (= (tptp.ax0_sk12 @t2 @t1) @t13)))) % 16.02/16.29 (assume @p45 (forall @t8 (or @t59 @t58 @t56))) % 16.02/16.29 (assume @p46 (forall @t8 (or @t59 @t60 @t56))) % 16.02/16.29 (assume @p47 (forall @t8 (or @t61 @t58 @t56))) % 16.02/16.29 (assume @p48 (forall @t8 (or @t61 @t60 @t56))) % 16.02/16.29 (assume @p49 @t62) % 16.02/16.29 (assume @p50 @t63) % 16.02/16.29 (step @p51 :rule instantiate :premises (@p11) :args (@t64)) % 16.02/16.29 (step @p52 :rule instantiate :premises (@p28) :args (@t65)) % 16.02/16.29 (step @p53 :rule instantiate :premises (@p24) :args ((@list tptp.sk16 tptp.sk14 tptp.sk15))) % 16.02/16.29 (step @p54 :rule cnf_or_pos :args (@t68)) % 16.02/16.29 (step @p55 :rule reordering :premises (@p54) :args ((or @t67 @t66 (not @t68)))) % 16.02/16.29 (step @p56 :rule chain_m_resolution :premises (@p55 @p50 @p53) :args (@t66 @t69 (@list @t63 @t68))) % 16.02/16.29 (step @p57 :rule cnf_or_pos :args (@t74)) % 16.02/16.29 (step @p58 :rule factoring :premises (@p57)) % 16.02/16.29 (step @p59 :rule reordering :premises (@p58) :args ((or @t73 @t70 @t72 (not @t74)))) % 16.02/16.29 (step @p60 :rule instantiate :premises (@p30) :args (@t65)) % 16.02/16.29 (step @p61 :rule cnf_or_pos :args (@t77)) % 16.02/16.29 (step @p62 :rule factoring :premises (@p61)) % 16.02/16.29 (step @p63 :rule reordering :premises (@p62) :args ((or @t73 @t70 @t76 (not @t77)))) % 16.02/16.29 (step @p64 :rule instantiate :premises (@p1) :args ((@list tptp.sk14 tptp.sk15 @t71))) % 16.02/16.29 (step @p65 :rule cnf_or_pos :args (@t81)) % 16.02/16.29 (step @p66 :rule reordering :premises (@p65) :args ((or @t80 @t79 @t78 (not @t81)))) % 16.02/16.29 (step @p67 :rule instantiate :premises (@p26) :args ((@list tptp.sk16 tptp.sk14 tptp.sk15 @t71))) % 16.02/16.29 (step @p68 :rule cnf_or_pos :args (@t83)) % 16.02/16.29 (step @p69 :rule reordering :premises (@p68) :args ((or @t67 @t75 @t79 @t82 (not @t83)))) % 16.02/16.29 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p50 @p66 @p64 @p49 @p63 @p56 @p60 @p59 @p56 @p52) :args (@t70 (@list false false false false false true false false false false false) (@list @t83 @t63 @t78 @t81 @t62 @t75 @t66 @t77 @t72 @t66 @t74))) % 16.02/16.29 (step @p71 :rule refl :args (@t84)) % 16.02/16.29 (step @p72 :rule bool-double-not-elim :args (@t86)) % 16.02/16.29 (step @p73 :rule refl :args (@t88)) % 16.02/16.29 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t88 (not @t89) @t84))) % 16.02/16.29 (assume-push @p170 @t87) % 16.02/16.29 (assume-push @p171 @t89) % 16.02/16.29 (assume-push @p172 @t89) % 16.02/16.29 (assume-push @p173 @t87) % 16.02/16.29 (step @p79 :rule false_intro :premises (@p171)) % 16.02/16.29 (step @p80 :rule refl :args (tptp.sk16)) % 16.02/16.29 (step @p81 :rule cong :premises (@p80 @p170 @p170) :args (@t70)) % 16.02/16.29 (step @p82 :rule trans :premises (@p81 @p79)) % 16.02/16.29 (step @p83 :rule false_elim :premises (@p82)) % 16.02/16.29 (step-pop @p174 :rule scope :premises (@p83)) % 16.02/16.29 (step-pop @p175 :rule scope :premises (@p174)) % 16.02/16.29 (step @p84 :rule process_scope :premises (@p175) :args (@t84)) % 16.02/16.29 (step @p87 :rule and_intro :premises (@p171 @p170)) % 16.02/16.29 (step @p88 :rule modus_ponens :premises (@p87 @p84)) % 16.02/16.29 (step-pop @p176 :rule scope :premises (@p88)) % 16.02/16.29 (step-pop @p177 :rule scope :premises (@p176)) % 16.02/16.29 (step @p89 :rule process_scope :premises (@p177) :args (@t84)) % 16.02/16.29 (step @p92 :rule implies_elim :premises (@p89)) % 16.02/16.29 (step @p93 :rule cnf_and_neg :args (@t90)) % 16.02/16.29 (step @p94 :rule resolution :premises (@p93 @p92) :args (true @t90)) % 16.02/16.29 (step @p95 :rule eq_resolve :premises (@p94 @p74)) % 16.02/16.29 (step @p96 :rule reordering :premises (@p95) :args ((or @t84 @t88 @t86))) % 16.02/16.29 (step @p97 :rule aci_norm :args ((= (or false @t16 @t91) (or @t16 @t91)))) % 16.02/16.29 (step @p98 :rule refl :args (@t91)) % 16.02/16.29 (step @p99 :rule refl :args (@t16)) % 16.02/16.29 (step @p100 :rule evaluate :args ((not true))) % 16.02/16.29 (step @p101 :rule eq-refl :args (@t13)) % 16.02/16.29 (step @p102 :rule cong :premises (@p101) :args (@t92)) % 16.02/16.29 (step @p103 :rule trans :premises (@p102 @p100)) % 16.02/16.29 (step @p104 :rule nary_cong :premises (@p103 @p99 @p98) :args (@t93)) % 16.02/16.29 (step @p105 :rule trans :premises (@p104 @p97)) % 16.02/16.29 (step @p106 :rule cong :premises (@p105) :args ((forall @t94 @t93))) % 16.02/16.29 (step @p107 :rule quant-var-elim-eq :args ((= (forall @t48 @t95) @t93))) % 16.02/16.29 (step @p108 :rule aci_norm :args ((= @t17 @t95))) % 16.02/16.29 (step @p109 :rule cong :premises (@p108) :args (@t96)) % 16.02/16.29 (step @p110 :rule trans :premises (@p109 @p107)) % 16.02/16.29 (step @p111 :rule cong :premises (@p110) :args (@t97)) % 16.02/16.29 (step @p112 :rule quant-merge-prenex :args ((= @t97 @t98))) % 16.02/16.29 (step @p113 :rule symm :premises (@p112)) % 16.02/16.29 (step @p114 :rule quant_var_reordering :args ((= @t18 @t98))) % 16.02/16.29 (step @p115 :rule trans :premises (@p114 @p113 @p111)) % 16.02/16.29 (step @p116 :rule trans :premises (@p115 @p106)) % 16.02/16.29 (step @p117 :rule eq_resolve :premises (@p5 @p116)) % 16.02/16.29 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.sk14 tptp.sk14 @t99))) % 16.02/16.29 (step @p119 :rule instantiate :premises (@p21) :args (@t100)) % 16.02/16.29 (step @p120 :rule instantiate :premises (@p37) :args ((@list tptp.sk14))) % 16.02/16.29 (step @p121 :rule cnf_or_pos :args (@t104)) % 16.02/16.29 (step @p122 :rule reordering :premises (@p121) :args ((or @t103 @t101 (not @t104)))) % 16.02/16.29 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p119) :args (@t101 @t69 (@list @t102 @t104))) % 16.02/16.29 (step @p124 :rule cnf_or_pos :args (@t107)) % 16.02/16.29 (step @p125 :rule reordering :premises (@p124) :args ((or @t106 @t105 (not @t107)))) % 16.02/16.29 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p118) :args (@t105 @t69 (@list @t101 @t107))) % 16.02/16.29 (step @p127 :rule instantiate :premises (@p26) :args ((@list tptp.sk16 @t85 @t85 @t99))) % 16.02/16.29 (step @p128 :rule cnf_or_pos :args (@t110)) % 16.02/16.29 (step @p129 :rule factoring :premises (@p128)) % 16.02/16.29 (step @p130 :rule reordering :premises (@p129) :args ((or @t109 @t89 @t108 (not @t110)))) % 16.02/16.29 (step @p131 :rule instantiate :premises (@p22) :args (@t100)) % 16.02/16.29 (step @p132 :rule cnf_or_pos :args (@t113)) % 16.02/16.29 (step @p133 :rule reordering :premises (@p132) :args ((or @t103 @t112 (not @t113)))) % 16.02/16.29 (step @p134 :rule chain_m_resolution :premises (@p133 @p120 @p131) :args (@t112 @t69 (@list @t102 @t113))) % 16.02/16.29 (step @p135 :rule refl :args (@t114)) % 16.02/16.29 (step @p136 :rule bool-double-not-elim :args (@t111)) % 16.02/16.29 (step @p137 :rule nary_cong :premises (@p73 @p136 @p135) :args ((or @t88 (not @t112) @t114))) % 16.02/16.29 (assume-push @p178 @t87) % 16.02/16.29 (assume-push @p179 @t112) % 16.02/16.29 (assume-push @p180 @t112) % 16.02/16.29 (assume-push @p181 @t87) % 16.02/16.29 (step @p142 :rule false_intro :premises (@p134)) % 16.02/16.29 (step @p143 :rule symm :premises (@p178)) % 16.02/16.29 (step @p144 :rule refl :args (@t99)) % 16.02/16.29 (step @p145 :rule cong :premises (@p144 @p143) :args (@t108)) % 16.02/16.29 (step @p146 :rule trans :premises (@p145 @p142)) % 16.02/16.29 (step @p147 :rule false_elim :premises (@p146)) % 16.02/16.29 (step-pop @p182 :rule scope :premises (@p147)) % 16.02/16.29 (step-pop @p183 :rule scope :premises (@p182)) % 16.02/16.29 (step @p148 :rule process_scope :premises (@p183) :args (@t114)) % 16.02/16.29 (step @p151 :rule and_intro :premises (@p134 @p178)) % 16.02/16.29 (step @p152 :rule modus_ponens :premises (@p151 @p148)) % 16.02/16.29 (step-pop @p184 :rule scope :premises (@p152)) % 16.02/16.29 (step-pop @p185 :rule scope :premises (@p184)) % 16.02/16.29 (step @p153 :rule process_scope :premises (@p185) :args (@t114)) % 16.02/16.29 (step @p156 :rule implies_elim :premises (@p153)) % 16.02/16.29 (step @p157 :rule cnf_and_neg :args (@t115)) % 16.02/16.29 (step @p158 :rule resolution :premises (@p157 @p156) :args (true @t115)) % 16.02/16.29 (step @p159 :rule eq_resolve :premises (@p158 @p137)) % 16.02/16.29 (step @p160 :rule chain_m_resolution :premises (@p159 @p134 @p130 @p127 @p126 @p96 @p70) :args (@t88 (@list true false false false false false) (@list @t111 @t108 @t110 @t105 @t86 @t70))) % 16.02/16.29 (step @p161 :rule instantiate :premises (@p7) :args (@t64)) % 16.02/16.29 (step @p162 :rule cnf_or_pos :args (@t117)) % 16.02/16.29 (step @p163 :rule factoring :premises (@p162)) % 16.02/16.29 (step @p164 :rule reordering :premises (@p163) :args ((or @t116 @t87 (not @t117)))) % 16.02/16.29 (step @p165 :rule chain_m_resolution :premises (@p164 @p160 @p161) :args (@t116 (@list true false) (@list @t87 @t117))) % 16.02/16.29 (step @p166 :rule cnf_or_pos :args (@t119)) % 16.02/16.29 (step @p167 :rule factoring :premises (@p166)) % 16.02/16.29 (step @p168 :rule reordering :premises (@p167) :args ((or @t87 @t118 (not @t119)))) % 16.02/16.29 (step @p169 false :rule chain_m_resolution :premises (@p168 @p165 @p160 @p51) :args (false (@list false true false) (@list @t116 @t87 @t119))) % 16.02/16.29 ) % 16.02/16.29 % SZS output end Proof % 16.02/16.29 % cvc5 exiting %------------------------------------------------------------------------------