%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO001-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:16:03 AM UTC 2026 % Result : Unsatisfiable 34.87s 35.05s % Output : Proof 34.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO001-3 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 23:04:37 EDT 2026 % 0.16/0.34 % 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... % 15.42/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.53/27.72 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.55/33.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.87/35.05 % SZS status Unsatisfiable % 34.87/35.05 % SZS output start Proof % 34.87/35.06 ( % 34.87/35.06 (declare-sort $$unsorted 0) % 34.87/35.06 (declare-const tptp.a $$unsorted) % 34.87/35.06 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.06 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.06 (declare-const tptp.c $$unsorted) % 34.87/35.06 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.06 (declare-const tptp.reflection (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.06 (declare-const tptp.inner_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.06 (declare-const tptp.lower_dimension_point_3 $$unsorted) % 34.87/35.06 (declare-const tptp.continuous (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.06 (declare-const tptp.b $$unsorted) % 34.87/35.06 (declare-const tptp.lower_dimension_point_2 $$unsorted) % 34.87/35.06 (declare-const tptp.lower_dimension_point_1 $$unsorted) % 34.87/35.06 (declare-const tptp.euclid1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.06 (declare-const tptp.euclid2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.06 (define @t1 () (@var "X" $$unsorted)) % 34.87/35.06 (define @t2 () (@var "Y" $$unsorted)) % 34.87/35.06 (define @t3 () (@list @t1 @t2)) % 34.87/35.06 (define @t4 () (@var "W" $$unsorted)) % 34.87/35.06 (define @t5 () (@var "V2" $$unsorted)) % 34.87/35.06 (define @t6 () (@var "V" $$unsorted)) % 34.87/35.06 (define @t7 () (@var "Z" $$unsorted)) % 34.87/35.06 (define @t8 () (= @t1 @t2)) % 34.87/35.06 (define @t9 () (tptp.extension @t1 @t2 @t4 @t6)) % 34.87/35.06 (define @t10 () (@var "V1" $$unsorted)) % 34.87/35.06 (define @t11 () (@var "Z1" $$unsorted)) % 34.87/35.06 (define @t12 () (@var "Y1" $$unsorted)) % 34.87/35.06 (define @t13 () (@var "X1" $$unsorted)) % 34.87/35.06 (define @t14 () (tptp.between @t1 @t2 @t7)) % 34.87/35.06 (define @t15 () (@var "U" $$unsorted)) % 34.87/35.06 (define @t16 () (tptp.inner_pasch @t15 @t6 @t4 @t1 @t2)) % 34.87/35.06 (define @t17 () (not (tptp.between @t2 @t1 @t4))) % 34.87/35.06 (define @t18 () (not (tptp.between @t15 @t6 @t4))) % 34.87/35.06 (define @t19 () (@list @t15 @t6 @t4 @t2 @t1)) % 34.87/35.06 (define @t20 () (tptp.euclid1 @t15 @t6 @t4 @t1 @t2)) % 34.87/35.06 (define @t21 () (= @t15 @t4)) % 34.87/35.06 (define @t22 () (tptp.between @t6 @t4 @t1)) % 34.87/35.06 (define @t23 () (not @t22)) % 34.87/35.06 (define @t24 () (not (tptp.between @t15 @t4 @t2))) % 34.87/35.06 (define @t25 () (@list @t15 @t4 @t2 @t6 @t1)) % 34.87/35.06 (define @t26 () (tptp.euclid2 @t15 @t6 @t4 @t1 @t2)) % 34.87/35.06 (define @t27 () (tptp.continuous @t15 @t6 @t10 @t4 @t1 @t13)) % 34.87/35.06 (define @t28 () (not (tptp.between @t15 @t6 @t1))) % 34.87/35.06 (define @t29 () (not (tptp.equidistant @t15 @t1 @t15 @t13))) % 34.87/35.06 (define @t30 () (not (tptp.equidistant @t15 @t6 @t15 @t10))) % 34.87/35.06 (define @t31 () (@list @t15 @t6 @t10 @t1 @t13 @t4)) % 34.87/35.06 (define @t32 () (tptp.extension @t15 @t6 @t15 @t6)) % 34.87/35.06 (define @t33 () (tptp.reflection @t15 @t6)) % 34.87/35.06 (define @t34 () (@list @t15 @t6)) % 34.87/35.06 (define @t35 () (not (tptp.equidistant @t15 @t6 @t4 @t1))) % 34.87/35.06 (define @t36 () (@list @t15 @t6 @t4 @t1)) % 34.87/35.06 (define @t37 () (not (tptp.equidistant @t4 @t1 @t2 @t7))) % 34.87/35.06 (define @t38 () (tptp.extension @t15 @t6 @t4 @t1)) % 34.87/35.06 (define @t39 () (@list @t6 @t15)) % 34.87/35.06 (define @t40 () (= @t6 @t33)) % 34.87/35.06 (define @t41 () (= @t15 @t6)) % 34.87/35.06 (define @t42 () (@var "W1" $$unsorted)) % 34.87/35.06 (define @t43 () (@var "U1" $$unsorted)) % 34.87/35.06 (define @t44 () (= @t4 (tptp.extension @t15 @t6 @t6 @t4))) % 34.87/35.06 (define @t45 () (or @t18 @t41 @t44)) % 34.87/35.06 (define @t46 () (@list @t15 @t6 @t4)) % 34.87/35.06 (define @t47 () (forall @t46 @t45)) % 34.87/35.06 (define @t48 () (tptp.reflection @t33 @t6)) % 34.87/35.06 (define @t49 () (not (= @t15 @t1))) % 34.87/35.06 (define @t50 () (not (tptp.between @t15 @t4 @t1))) % 34.87/35.06 (define @t51 () (or @t50 @t49 @t22)) % 34.87/35.06 (define @t52 () (@list @t15 @t4 @t1 @t6)) % 34.87/35.06 (define @t53 () (forall @t52 @t51)) % 34.87/35.06 (define @t54 () (tptp.between tptp.a tptp.b tptp.c)) % 34.87/35.06 (define @t55 () (tptp.between tptp.c tptp.b tptp.a)) % 34.87/35.06 (define @t56 () (not @t55)) % 34.87/35.06 (define @t57 () (tptp.extension tptp.a tptp.b tptp.b tptp.c)) % 34.87/35.06 (define @t58 () (= tptp.c @t57)) % 34.87/35.06 (define @t59 () (not @t54)) % 34.87/35.06 (define @t60 () (= tptp.b tptp.a)) % 34.87/35.06 (define @t61 () (or @t59 @t60 @t58)) % 34.87/35.06 (define @t62 () (forall @t46 (or @t18 (= @t6 @t15) @t44))) % 34.87/35.06 (define @t63 () (@list tptp.a tptp.b tptp.c)) % 34.87/35.06 (define @t64 () (= tptp.a tptp.b)) % 34.87/35.06 (define @t65 () (or @t59 @t64 @t58)) % 34.87/35.06 (define @t66 () (@list false)) % 34.87/35.06 (define @t67 () (@list @t62)) % 34.87/35.06 (define @t68 () (tptp.between @t6 @t4 @t15)) % 34.87/35.06 (define @t69 () (not (tptp.between @t15 @t4 @t15))) % 34.87/35.06 (define @t70 () (not (= @t15 @t15))) % 34.87/35.06 (define @t71 () (or @t69 @t70 @t68)) % 34.87/35.06 (define @t72 () (@list @t15 @t4 @t6)) % 34.87/35.06 (define @t73 () (not (= @t1 @t15))) % 34.87/35.06 (define @t74 () (or @t73 @t50 @t73 @t22)) % 34.87/35.06 (define @t75 () (@list @t1)) % 34.87/35.06 (define @t76 () (or @t50 @t73 @t22)) % 34.87/35.06 (define @t77 () (forall @t75 @t76)) % 34.87/35.06 (define @t78 () (forall @t72 @t77)) % 34.87/35.06 (define @t79 () (forall (@list @t15 @t4 @t6 @t1) @t76)) % 34.87/35.06 (define @t80 () (tptp.between tptp.a tptp.b tptp.a)) % 34.87/35.06 (define @t81 () (not @t80)) % 34.87/35.06 (define @t82 () (or @t81 @t55)) % 34.87/35.06 (define @t83 () (@list true false)) % 34.87/35.06 (define @t84 () (tptp.between tptp.a tptp.b tptp.b)) % 34.87/35.06 (define @t85 () (not @t84)) % 34.87/35.06 (define @t86 () (not @t64)) % 34.87/35.06 (define @t87 () (= true false)) % 34.87/35.06 (define @t88 () (and @t81 @t64 @t84)) % 34.87/35.06 (define @t89 () (@list tptp.a tptp.b tptp.c tptp.b @t57)) % 34.87/35.06 (define @t90 () (tptp.extension tptp.a tptp.b tptp.b tptp.b)) % 34.87/35.06 (define @t91 () (= tptp.b @t90)) % 34.87/35.06 (define @t92 () (or @t85 @t60 @t91)) % 34.87/35.06 (define @t93 () (or @t85 @t64 @t91)) % 34.87/35.06 (define @t94 () (tptp.between tptp.b @t57 @t57)) % 34.87/35.06 (define @t95 () (tptp.between tptp.b @t57 tptp.c)) % 34.87/35.06 (define @t96 () (and @t58 @t91 @t94)) % 34.87/35.06 (define @t97 () (@list false false false)) % 34.87/35.06 (define @t98 () (tptp.inner_pasch tptp.a tptp.b tptp.c @t57 tptp.b)) % 34.87/35.06 (define @t99 () (tptp.between @t57 @t98 tptp.a)) % 34.87/35.06 (define @t100 () (not @t95)) % 34.87/35.06 (define @t101 () (or @t59 @t100 @t99)) % 34.87/35.06 (define @t102 () (tptp.between tptp.b @t98 tptp.b)) % 34.87/35.06 (define @t103 () (or @t59 @t100 @t102)) % 34.87/35.06 (define @t104 () (= tptp.b @t98)) % 34.87/35.06 (define @t105 () (not @t102)) % 34.87/35.06 (define @t106 () (or @t105 @t104)) % 34.87/35.06 (define @t107 () (not @t104)) % 34.87/35.06 (define @t108 () (not @t99)) % 34.87/35.06 (define @t109 () (not @t58)) % 34.87/35.06 (define @t110 () (and @t56 @t58 @t104 @t99)) % 34.87/35.06 (assume @p1 (forall @t3 (tptp.equidistant @t1 @t2 @t2 @t1))) % 34.87/35.06 (assume @p2 (forall (@list @t1 @t2 @t7 @t6 @t5 @t4) (or (not (tptp.equidistant @t1 @t2 @t7 @t6)) (not (tptp.equidistant @t1 @t2 @t5 @t4)) (tptp.equidistant @t7 @t6 @t5 @t4)))) % 34.87/35.06 (assume @p3 (forall (@list @t1 @t2 @t7) (or (not (tptp.equidistant @t1 @t2 @t7 @t7)) @t8))) % 34.87/35.06 (assume @p4 (forall (@list @t1 @t2 @t4 @t6) (tptp.between @t1 @t2 @t9))) % 34.87/35.06 (assume @p5 (forall (@list @t2 @t1 @t4 @t6) (tptp.equidistant @t2 @t9 @t4 @t6))) % 34.87/35.06 (assume @p6 (forall (@list @t1 @t2 @t13 @t12 @t7 @t11 @t6 @t10) (or (not (tptp.equidistant @t1 @t2 @t13 @t12)) (not (tptp.equidistant @t2 @t7 @t12 @t11)) (not (tptp.equidistant @t1 @t6 @t13 @t10)) (not (tptp.equidistant @t2 @t6 @t12 @t10)) (not @t14) (not (tptp.between @t13 @t12 @t11)) @t8 (tptp.equidistant @t7 @t6 @t11 @t10)))) % 34.87/35.06 (assume @p7 (forall @t3 (or (not (tptp.between @t1 @t2 @t1)) @t8))) % 34.87/35.06 (assume @p8 (forall @t19 (or @t18 @t17 (tptp.between @t6 @t16 @t2)))) % 34.87/35.06 (assume @p9 (forall @t19 (or @t18 @t17 (tptp.between @t1 @t16 @t15)))) % 34.87/35.06 (assume @p10 (not (tptp.between tptp.lower_dimension_point_1 tptp.lower_dimension_point_2 tptp.lower_dimension_point_3))) % 34.87/35.06 (assume @p11 (not (tptp.between tptp.lower_dimension_point_2 tptp.lower_dimension_point_3 tptp.lower_dimension_point_1))) % 34.87/35.06 (assume @p12 (not (tptp.between tptp.lower_dimension_point_3 tptp.lower_dimension_point_1 tptp.lower_dimension_point_2))) % 34.87/35.06 (assume @p13 (forall (@list @t1 @t4 @t6 @t2 @t7) (or (not (tptp.equidistant @t1 @t4 @t1 @t6)) (not (tptp.equidistant @t2 @t4 @t2 @t6)) (not (tptp.equidistant @t7 @t4 @t7 @t6)) @t14 (tptp.between @t2 @t7 @t1) (tptp.between @t7 @t1 @t2) (= @t4 @t6)))) % 34.87/35.06 (assume @p14 (forall @t25 (or @t24 @t23 @t21 (tptp.between @t15 @t6 @t20)))) % 34.87/35.06 (assume @p15 (forall @t25 (or @t24 @t23 @t21 (tptp.between @t15 @t1 @t26)))) % 34.87/35.06 (assume @p16 (forall @t25 (or @t24 @t23 @t21 (tptp.between @t20 @t2 @t26)))) % 34.87/35.06 (assume @p17 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.between @t10 @t27 @t13)))) % 34.87/35.06 (assume @p18 (forall @t31 (or @t30 @t29 @t28 @t23 (tptp.equidistant @t15 @t4 @t15 @t27)))) % 34.87/35.06 (assume @p19 (forall @t34 (= @t33 @t32))) % 34.87/35.06 (assume @p20 (forall @t34 (tptp.equidistant @t15 @t6 @t15 @t6))) % 34.87/35.06 (assume @p21 (forall @t36 (or @t35 (tptp.equidistant @t4 @t1 @t15 @t6)))) % 34.87/35.06 (assume @p22 (forall @t36 (or @t35 (tptp.equidistant @t6 @t15 @t4 @t1)))) % 34.87/35.06 (assume @p23 (forall @t36 (or @t35 (tptp.equidistant @t15 @t6 @t1 @t4)))) % 34.87/35.06 (assume @p24 (forall @t36 (or @t35 (tptp.equidistant @t6 @t15 @t1 @t4)))) % 34.87/35.06 (assume @p25 (forall @t36 (or @t35 (tptp.equidistant @t4 @t1 @t6 @t15)))) % 34.87/35.06 (assume @p26 (forall @t36 (or @t35 (tptp.equidistant @t1 @t4 @t15 @t6)))) % 34.87/35.06 (assume @p27 (forall @t36 (or @t35 (tptp.equidistant @t1 @t4 @t6 @t15)))) % 34.87/35.06 (assume @p28 (forall (@list @t15 @t6 @t4 @t1 @t2 @t7) (or @t35 @t37 (tptp.equidistant @t15 @t6 @t2 @t7)))) % 34.87/35.06 (assume @p29 (forall (@list @t6 @t15 @t4) (= @t6 (tptp.extension @t15 @t6 @t4 @t4)))) % 34.87/35.06 (assume @p30 (forall (@list @t2 @t15 @t6 @t4 @t1) (or (not (= @t2 @t38)) (tptp.between @t15 @t6 @t2)))) % 34.87/35.06 (assume @p31 (forall @t34 (tptp.between @t15 @t6 @t33))) % 34.87/35.06 (assume @p32 (forall @t39 (tptp.equidistant @t6 @t33 @t15 @t6))) % 34.87/35.06 (assume @p33 (forall @t34 (or (not @t41) @t40))) % 34.87/35.06 (assume @p34 (forall (@list @t15) (= @t15 (tptp.reflection @t15 @t15)))) % 34.87/35.06 (assume @p35 (forall @t39 (or (not @t40) @t41))) % 34.87/35.06 (assume @p36 (forall @t34 (tptp.equidistant @t15 @t15 @t6 @t6))) % 34.87/35.06 (assume @p37 (forall (@list @t15 @t6 @t43 @t10 @t4 @t42) (or (not (tptp.equidistant @t15 @t6 @t43 @t10)) (not (tptp.equidistant @t6 @t4 @t10 @t42)) @t18 (not (tptp.between @t43 @t10 @t42)) (tptp.equidistant @t15 @t4 @t43 @t42)))) % 34.87/35.06 (assume @p38 (forall @t36 (or @t18 @t28 (not (tptp.equidistant @t6 @t4 @t6 @t1)) @t41 (= @t4 @t1)))) % 34.87/35.06 (assume @p39 @t47) % 34.87/35.06 (assume @p40 (forall (@list @t4 @t1 @t2 @t7 @t15 @t6) (or @t37 (= @t38 (tptp.extension @t15 @t6 @t2 @t7)) @t41))) % 34.87/35.06 (assume @p41 (forall @t34 (or (= @t32 (tptp.extension @t15 @t6 @t6 @t15)) @t41))) % 34.87/35.06 (assume @p42 (forall @t39 (tptp.equidistant @t6 @t15 @t6 @t48))) % 34.87/35.06 (assume @p43 (forall @t34 (= @t15 @t48))) % 34.87/35.06 (assume @p44 (forall @t34 (tptp.between @t15 @t6 @t6))) % 34.87/35.06 (assume @p45 @t53) % 34.87/35.06 (assume @p46 @t54) % 34.87/35.06 (assume @p47 @t56) % 34.87/35.06 (step @p48 :rule refl :args (@t44)) % 34.87/35.06 (step @p49 :rule eq-symm :args (@t15 @t6)) % 34.87/35.06 (step @p50 :rule refl :args (@t18)) % 34.87/35.06 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t45)) % 34.87/35.06 (step @p52 :rule cong :premises (@p51) :args (@t47)) % 34.87/35.06 (step @p53 :rule eq_resolve :premises (@p39 @p52)) % 34.87/35.06 (step @p54 :rule refl :args (@t58)) % 34.87/35.06 (step @p55 :rule eq-symm :args (tptp.b tptp.a)) % 34.87/35.06 (step @p56 :rule refl :args (@t59)) % 34.87/35.06 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t61)) % 34.87/35.06 (step @p58 :rule refl :args (@t62)) % 34.87/35.06 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t62 @t61))) % 34.87/35.06 (assume-push @p228 @t62) % 34.87/35.06 (step @p61 :rule instantiate :premises (@p53) :args (@t63)) % 34.87/35.06 (step-pop @p229 :rule scope :premises (@p61)) % 34.87/35.06 (step @p62 :rule process_scope :premises (@p229) :args (@t61)) % 34.87/35.06 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 34.87/35.06 (step @p65 :rule implies_elim :premises (@p64)) % 34.87/35.06 (step @p66 :rule chain_m_resolution :premises (@p65 @p53) :args (@t65 @t66 @t67)) % 34.87/35.06 (step @p67 :rule instantiate :premises (@p44) :args ((@list tptp.a tptp.b))) % 34.87/35.06 (step @p68 :rule aci_norm :args ((= (or @t69 false @t68) (or @t69 @t68)))) % 34.87/35.06 (step @p69 :rule refl :args (@t68)) % 34.87/35.06 (step @p70 :rule evaluate :args ((not true))) % 34.87/35.06 (step @p71 :rule eq-refl :args (@t15)) % 34.87/35.06 (step @p72 :rule cong :premises (@p71) :args (@t70)) % 34.87/35.06 (step @p73 :rule trans :premises (@p72 @p70)) % 34.87/35.06 (step @p74 :rule refl :args (@t69)) % 34.87/35.06 (step @p75 :rule nary_cong :premises (@p74 @p73 @p69) :args (@t71)) % 34.87/35.06 (step @p76 :rule trans :premises (@p75 @p68)) % 34.87/35.06 (step @p77 :rule cong :premises (@p76) :args ((forall @t72 @t71))) % 34.87/35.06 (step @p78 :rule quant-var-elim-eq :args ((= (forall @t75 @t74) @t71))) % 34.87/35.06 (step @p79 :rule aci_norm :args ((= @t76 @t74))) % 34.87/35.06 (step @p80 :rule cong :premises (@p79) :args (@t77)) % 34.87/35.06 (step @p81 :rule trans :premises (@p80 @p78)) % 34.87/35.06 (step @p82 :rule cong :premises (@p81) :args (@t78)) % 34.87/35.06 (step @p83 :rule quant-merge-prenex :args ((= @t78 @t79))) % 34.87/35.06 (step @p84 :rule symm :premises (@p83)) % 34.87/35.06 (step @p85 :rule quant_var_reordering :args ((= (forall @t52 @t76) @t79))) % 34.87/35.06 (step @p86 :rule trans :premises (@p85 @p84 @p82)) % 34.87/35.06 (step @p87 :rule trans :premises (@p86 @p77)) % 34.87/35.06 (step @p88 :rule refl :args (@t22)) % 34.87/35.06 (step @p89 :rule eq-symm :args (@t15 @t1)) % 34.87/35.06 (step @p90 :rule cong :premises (@p89) :args (@t49)) % 34.87/35.06 (step @p91 :rule refl :args (@t50)) % 34.87/35.06 (step @p92 :rule nary_cong :premises (@p91 @p90 @p88) :args (@t51)) % 34.87/35.06 (step @p93 :rule cong :premises (@p92) :args (@t53)) % 34.87/35.06 (step @p94 :rule trans :premises (@p93 @p87)) % 34.87/35.06 (step @p95 :rule eq_resolve :premises (@p45 @p94)) % 34.87/35.06 (step @p96 :rule instantiate :premises (@p95) :args (@t63)) % 34.87/35.06 (step @p97 :rule cnf_or_pos :args (@t82)) % 34.87/35.06 (step @p98 :rule reordering :premises (@p97) :args ((or @t55 @t81 (not @t82)))) % 34.87/35.06 (step @p99 :rule chain_m_resolution :premises (@p98 @p47 @p96) :args (@t81 @t83 (@list @t55 @t82))) % 34.87/35.06 (step @p100 :rule refl :args (@t85)) % 34.87/35.06 (step @p101 :rule bool-double-not-elim :args (@t80)) % 34.87/35.06 (step @p102 :rule refl :args (@t86)) % 34.87/35.06 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args ((or @t86 (not @t81) @t85))) % 34.87/35.06 (assume-push @p230 @t81) % 34.87/35.06 (assume-push @p231 @t64) % 34.87/35.06 (assume-push @p232 @t84) % 34.87/35.06 (step @p107 :rule evaluate :args (@t87)) % 34.87/35.06 (step @p108 :rule false_intro :premises (@p99)) % 34.87/35.06 (step @p109 :rule symm :premises (@p231)) % 34.87/35.06 (step @p110 :rule refl :args (tptp.b)) % 34.87/35.06 (step @p111 :rule refl :args (tptp.a)) % 34.87/35.06 (step @p112 :rule cong :premises (@p111 @p110 @p109) :args (@t84)) % 34.87/35.06 (step @p113 :rule true_intro :premises (@p67)) % 34.87/35.06 (step @p114 :rule symm :premises (@p113)) % 34.87/35.06 (step @p115 :rule trans :premises (@p114 @p112 @p108)) % 34.87/35.06 (step @p116 false :rule eq_resolve :premises (@p115 @p107)) % 34.87/35.06 (step-pop @p233 :rule scope :premises (@p116)) % 34.87/35.06 (step-pop @p234 :rule scope :premises (@p233)) % 34.87/35.06 (step-pop @p235 :rule scope :premises (@p234)) % 34.87/35.06 (step @p117 :rule process_scope :premises (@p235) :args (false)) % 34.87/35.06 (assume-push @p236 @t64) % 34.87/35.06 (assume-push @p237 @t81) % 34.87/35.06 (assume-push @p238 @t84) % 34.87/35.06 (step @p124 :rule and_intro :premises (@p99 @p236 @p67)) % 34.87/35.06 (step-pop @p239 :rule scope :premises (@p124)) % 34.87/35.06 (step-pop @p240 :rule scope :premises (@p239)) % 34.87/35.06 (step-pop @p241 :rule scope :premises (@p240)) % 34.87/35.06 (step @p125 :rule process_scope :premises (@p241) :args (@t88)) % 34.87/35.06 (step @p129 :rule implies_elim :premises (@p125)) % 34.87/35.06 (step @p130 :rule resolution :premises (@p129 @p117) :args (true @t88)) % 34.87/35.06 (step @p131 :rule not_and :premises (@p130)) % 34.87/35.06 (step @p132 :rule eq_resolve :premises (@p131 @p103)) % 34.87/35.06 (step @p133 :rule reordering :premises (@p132) :args ((or @t80 @t86 @t85))) % 34.87/35.06 (step @p134 :rule chain_m_resolution :premises (@p133 @p99 @p67) :args (@t86 @t83 (@list @t80 @t84))) % 34.87/35.06 (step @p135 :rule cnf_or_pos :args (@t65)) % 34.87/35.06 (step @p136 :rule reordering :premises (@p135) :args ((or @t59 @t64 @t58 (not @t65)))) % 34.87/35.06 (step @p137 :rule chain_m_resolution :premises (@p136 @p46 @p134 @p66) :args (@t58 (@list false true false) (@list @t54 @t64 @t65))) % 34.87/35.06 (step @p138 :rule instantiate :premises (@p9) :args (@t89)) % 34.87/35.06 (step @p139 :rule instantiate :premises (@p44) :args ((@list tptp.b @t57))) % 34.87/35.06 (step @p140 :rule refl :args (@t91)) % 34.87/35.06 (step @p141 :rule nary_cong :premises (@p100 @p55 @p140) :args (@t92)) % 34.87/35.06 (step @p142 :rule cong :premises (@p58 @p141) :args ((=> @t62 @t92))) % 34.87/35.06 (assume-push @p242 @t62) % 34.87/35.06 (step @p144 :rule instantiate :premises (@p53) :args ((@list tptp.a tptp.b tptp.b))) % 34.87/35.06 (step-pop @p243 :rule scope :premises (@p144)) % 34.87/35.06 (step @p145 :rule process_scope :premises (@p243) :args (@t92)) % 34.87/35.06 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 34.87/35.06 (step @p148 :rule implies_elim :premises (@p147)) % 34.87/35.06 (step @p149 :rule chain_m_resolution :premises (@p148 @p53) :args (@t93 @t66 @t67)) % 34.87/35.06 (step @p150 :rule cnf_or_pos :args (@t93)) % 34.87/35.06 (step @p151 :rule reordering :premises (@p150) :args ((or @t64 @t85 @t91 (not @t93)))) % 34.87/35.06 (step @p152 :rule chain_m_resolution :premises (@p151 @p134 @p67 @p149) :args (@t91 (@list true false false) (@list @t64 @t84 @t93))) % 34.87/35.06 (assume-push @p244 @t58) % 34.87/35.06 (assume-push @p245 @t91) % 34.87/35.06 (assume-push @p246 @t94) % 34.87/35.06 (assume-push @p247 @t94) % 34.87/35.06 (assume-push @p248 @t91) % 34.87/35.06 (assume-push @p249 @t58) % 34.87/35.06 (step @p159 :rule true_intro :premises (@p139)) % 34.87/35.06 (step @p160 :rule refl :args (@t57)) % 34.87/35.06 (step @p161 :rule symm :premises (@p245)) % 34.87/35.06 (step @p162 :rule cong :premises (@p161 @p160 @p160) :args ((tptp.between @t90 @t57 @t57))) % 34.87/35.06 (step @p163 :rule cong :premises (@p245 @p160 @p244) :args (@t95)) % 34.87/35.06 (step @p164 :rule trans :premises (@p163 @p162 @p159)) % 34.87/35.06 (step @p165 :rule true_elim :premises (@p164)) % 34.87/35.06 (step-pop @p250 :rule scope :premises (@p165)) % 34.87/35.06 (step-pop @p251 :rule scope :premises (@p250)) % 34.87/35.06 (step-pop @p252 :rule scope :premises (@p251)) % 34.87/35.06 (step @p166 :rule process_scope :premises (@p252) :args (@t95)) % 34.87/35.06 (step @p170 :rule and_intro :premises (@p139 @p245 @p244)) % 34.87/35.06 (step @p171 :rule modus_ponens :premises (@p170 @p166)) % 34.87/35.06 (step-pop @p253 :rule scope :premises (@p171)) % 34.87/35.06 (step-pop @p254 :rule scope :premises (@p253)) % 34.87/35.06 (step-pop @p255 :rule scope :premises (@p254)) % 34.87/35.06 (step @p172 :rule process_scope :premises (@p255) :args (@t95)) % 34.87/35.06 (step @p176 :rule implies_elim :premises (@p172)) % 34.87/35.06 (step @p177 :rule cnf_and_neg :args (@t96)) % 34.87/35.06 (step @p178 :rule resolution :premises (@p177 @p176) :args (true @t96)) % 34.87/35.06 (step @p179 :rule chain_m_resolution :premises (@p178 @p137 @p152 @p139) :args (@t95 @t97 (@list @t58 @t91 @t94))) % 34.87/35.06 (step @p180 :rule cnf_or_pos :args (@t101)) % 34.87/35.06 (step @p181 :rule reordering :premises (@p180) :args ((or @t59 @t100 @t99 (not @t101)))) % 34.87/35.06 (step @p182 :rule chain_m_resolution :premises (@p181 @p46 @p179 @p138) :args (@t99 @t97 (@list @t54 @t95 @t101))) % 34.87/35.06 (step @p183 :rule instantiate :premises (@p7) :args ((@list tptp.b @t98))) % 34.87/35.06 (step @p184 :rule instantiate :premises (@p8) :args (@t89)) % 34.87/35.06 (step @p185 :rule cnf_or_pos :args (@t103)) % 34.87/35.06 (step @p186 :rule reordering :premises (@p185) :args ((or @t59 @t100 @t102 (not @t103)))) % 34.87/35.06 (step @p187 :rule chain_m_resolution :premises (@p186 @p46 @p179 @p184) :args (@t102 @t97 (@list @t54 @t95 @t103))) % 34.87/35.06 (step @p188 :rule cnf_or_pos :args (@t106)) % 34.87/35.06 (step @p189 :rule reordering :premises (@p188) :args ((or @t105 @t104 (not @t106)))) % 34.87/35.06 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p183) :args (@t104 (@list false false) (@list @t102 @t106))) % 34.87/35.06 (step @p191 :rule refl :args (@t107)) % 34.87/35.06 (step @p192 :rule refl :args (@t108)) % 34.87/35.06 (step @p193 :rule refl :args (@t109)) % 34.87/35.06 (step @p194 :rule bool-double-not-elim :args (@t55)) % 34.87/35.06 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192 @p191) :args ((or (not @t56) @t109 @t108 @t107))) % 34.87/35.06 (assume-push @p256 @t56) % 34.87/35.06 (assume-push @p257 @t58) % 34.87/35.06 (assume-push @p258 @t104) % 34.87/35.06 (assume-push @p259 @t99) % 34.87/35.06 (step @p107 :rule evaluate :args (@t87)) % 34.87/35.06 (step @p200 :rule false_intro :premises (@p47)) % 34.87/35.06 (step @p111 :rule refl :args (tptp.a)) % 34.87/35.06 (step @p201 :rule symm :premises (@p258)) % 34.87/35.06 (step @p202 :rule symm :premises (@p257)) % 34.87/35.06 (step @p203 :rule cong :premises (@p202 @p201 @p111) :args (@t99)) % 34.87/35.06 (step @p204 :rule true_intro :premises (@p259)) % 34.87/35.06 (step @p205 :rule symm :premises (@p204)) % 34.87/35.06 (step @p206 :rule trans :premises (@p205 @p203 @p200)) % 34.87/35.06 (step @p207 false :rule eq_resolve :premises (@p206 @p107)) % 34.87/35.06 (step-pop @p260 :rule scope :premises (@p207)) % 34.87/35.06 (step-pop @p261 :rule scope :premises (@p260)) % 34.87/35.06 (step-pop @p262 :rule scope :premises (@p261)) % 34.87/35.06 (step-pop @p263 :rule scope :premises (@p262)) % 34.87/35.06 (step @p208 :rule process_scope :premises (@p263) :args (false)) % 34.87/35.06 (assume-push @p264 @t56) % 34.87/35.06 (assume-push @p265 @t58) % 34.87/35.06 (assume-push @p266 @t99) % 34.87/35.06 (assume-push @p267 @t104) % 34.87/35.06 (step @p217 :rule and_intro :premises (@p47 @p265 @p267 @p266)) % 34.87/35.06 (step-pop @p268 :rule scope :premises (@p217)) % 34.87/35.06 (step-pop @p269 :rule scope :premises (@p268)) % 34.87/35.06 (step-pop @p270 :rule scope :premises (@p269)) % 34.87/35.06 (step-pop @p271 :rule scope :premises (@p270)) % 34.87/35.06 (step @p218 :rule process_scope :premises (@p271) :args (@t110)) % 34.87/35.06 (step @p223 :rule implies_elim :premises (@p218)) % 34.87/35.06 (step @p224 :rule resolution :premises (@p223 @p208) :args (true @t110)) % 34.87/35.06 (step @p225 :rule not_and :premises (@p224)) % 34.87/35.06 (step @p226 :rule eq_resolve :premises (@p225 @p195)) % 34.87/35.06 (step @p227 false :rule chain_m_resolution :premises (@p226 @p190 @p182 @p137 @p47) :args (false (@list false false false true) (@list @t104 @t99 @t58 @t55))) % 34.87/35.06 ) % 34.87/35.06 % SZS output end Proof % 34.87/35.06 % cvc5 exiting %------------------------------------------------------------------------------