%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV539-1.010 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:01:51 AM UTC 2026 % Result : Unsatisfiable 2.41s 2.69s % Output : Proof 2.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV539-1.010 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n022.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 20:40:38 EDT 2026 % 0.19/0.35 % CPUTime : % 2.34/2.56 %----Proving TF0_NAR, FOF, or CNF % 2.34/2.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.41/2.69 % SZS status Unsatisfiable % 2.41/2.69 % SZS output start Proof % 2.41/2.70 ( % 2.41/2.70 (declare-sort $$unsorted 0) % 2.41/2.70 (declare-const tptp.i9 $$unsorted) % 2.41/2.70 (declare-const tptp.i8 $$unsorted) % 2.41/2.70 (declare-const tptp.a1 $$unsorted) % 2.41/2.70 (declare-const tptp.i7 $$unsorted) % 2.41/2.70 (declare-const tptp.i6 $$unsorted) % 2.41/2.70 (declare-const tptp.i4 $$unsorted) % 2.41/2.70 (declare-const tptp.i0 $$unsorted) % 2.41/2.70 (declare-const tptp.i3 $$unsorted) % 2.41/2.70 (declare-const tptp.i5 $$unsorted) % 2.41/2.70 (declare-const tptp.i2 $$unsorted) % 2.41/2.70 (declare-const tptp.select (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.70 (declare-const tptp.i1 $$unsorted) % 2.41/2.70 (declare-const tptp.store (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.41/2.70 (define @t1 () (@var "E" $$unsorted)) % 2.41/2.70 (define @t2 () (@var "I" $$unsorted)) % 2.41/2.70 (define @t3 () (@var "A" $$unsorted)) % 2.41/2.70 (define @t4 () (tptp.store @t3 @t2 @t1)) % 2.41/2.70 (define @t5 () (tptp.select @t4 @t2)) % 2.41/2.70 (define @t6 () (forall (@list @t3 @t2 @t1) (= @t5 @t1))) % 2.41/2.70 (define @t7 () (@var "J" $$unsorted)) % 2.41/2.70 (define @t8 () (= @t2 @t7)) % 2.41/2.70 (define @t9 () (tptp.store @t3 @t2 (tptp.select @t3 @t2))) % 2.41/2.70 (define @t10 () (forall (@list @t3 @t2) (= @t9 @t3))) % 2.41/2.70 (define @t11 () (@var "F" $$unsorted)) % 2.41/2.70 (define @t12 () (forall (@list @t2 @t7 @t3 @t1 @t11) (or @t8 (= (tptp.store @t4 @t7 @t11) (tptp.store (tptp.store @t3 @t7 @t11) @t2 @t1))))) % 2.41/2.70 (define @t13 () (tptp.select tptp.a1 tptp.i7)) % 2.41/2.70 (define @t14 () (tptp.select tptp.a1 tptp.i8)) % 2.41/2.70 (define @t15 () (tptp.store tptp.a1 tptp.i7 @t14)) % 2.41/2.70 (define @t16 () (tptp.store @t15 tptp.i8 @t13)) % 2.41/2.70 (define @t17 () (tptp.select @t16 tptp.i6)) % 2.41/2.70 (define @t18 () (tptp.select @t16 tptp.i8)) % 2.41/2.70 (define @t19 () (tptp.store @t16 tptp.i6 @t18)) % 2.41/2.70 (define @t20 () (tptp.store @t19 tptp.i8 @t17)) % 2.41/2.70 (define @t21 () (tptp.select @t20 tptp.i5)) % 2.41/2.70 (define @t22 () (tptp.select @t20 tptp.i8)) % 2.41/2.70 (define @t23 () (tptp.store @t20 tptp.i5 @t22)) % 2.41/2.70 (define @t24 () (tptp.store @t23 tptp.i8 @t21)) % 2.41/2.70 (define @t25 () (tptp.select @t24 tptp.i4)) % 2.41/2.70 (define @t26 () (tptp.select @t24 tptp.i9)) % 2.41/2.70 (define @t27 () (tptp.store @t24 tptp.i4 @t26)) % 2.41/2.70 (define @t28 () (tptp.store @t27 tptp.i9 @t25)) % 2.41/2.70 (define @t29 () (tptp.select @t28 tptp.i1)) % 2.41/2.70 (define @t30 () (tptp.select @t28 tptp.i7)) % 2.41/2.70 (define @t31 () (tptp.store @t28 tptp.i1 @t30)) % 2.41/2.70 (define @t32 () (tptp.store @t31 tptp.i7 @t29)) % 2.41/2.70 (define @t33 () (tptp.select @t32 tptp.i4)) % 2.41/2.70 (define @t34 () (tptp.select @t32 tptp.i5)) % 2.41/2.70 (define @t35 () (tptp.store @t32 tptp.i4 @t34)) % 2.41/2.70 (define @t36 () (tptp.store @t35 tptp.i5 @t33)) % 2.41/2.70 (define @t37 () (tptp.select @t36 tptp.i0)) % 2.41/2.70 (define @t38 () (tptp.store @t36 tptp.i0 @t37)) % 2.41/2.70 (define @t39 () (tptp.store @t38 tptp.i0 @t37)) % 2.41/2.70 (define @t40 () (tptp.select @t39 tptp.i2)) % 2.41/2.70 (define @t41 () (tptp.select @t39 tptp.i1)) % 2.41/2.70 (define @t42 () (tptp.store (tptp.store @t39 tptp.i2 @t41) tptp.i1 @t40)) % 2.41/2.70 (define @t43 () (tptp.store (tptp.store @t42 tptp.i3 (tptp.select @t42 tptp.i0)) tptp.i0 (tptp.select @t42 tptp.i3))) % 2.41/2.70 (define @t44 () (tptp.store (tptp.store tptp.a1 tptp.i8 @t13) tptp.i7 @t14)) % 2.41/2.70 (define @t45 () (tptp.select @t44 tptp.i6)) % 2.41/2.70 (define @t46 () (tptp.select @t44 tptp.i8)) % 2.41/2.70 (define @t47 () (tptp.store @t44 tptp.i6 @t46)) % 2.41/2.70 (define @t48 () (tptp.store @t47 tptp.i8 @t45)) % 2.41/2.70 (define @t49 () (tptp.select @t48 tptp.i8)) % 2.41/2.70 (define @t50 () (tptp.select @t48 tptp.i5)) % 2.41/2.70 (define @t51 () (tptp.store @t48 tptp.i8 @t50)) % 2.41/2.70 (define @t52 () (tptp.store @t51 tptp.i5 @t49)) % 2.41/2.70 (define @t53 () (tptp.select @t52 tptp.i4)) % 2.41/2.70 (define @t54 () (tptp.select @t52 tptp.i9)) % 2.41/2.70 (define @t55 () (tptp.store @t52 tptp.i4 @t54)) % 2.41/2.70 (define @t56 () (tptp.store @t55 tptp.i9 @t53)) % 2.41/2.70 (define @t57 () (tptp.select @t56 tptp.i7)) % 2.41/2.70 (define @t58 () (tptp.select @t56 tptp.i1)) % 2.41/2.70 (define @t59 () (tptp.store @t56 tptp.i7 @t58)) % 2.41/2.70 (define @t60 () (tptp.store @t59 tptp.i1 @t57)) % 2.41/2.70 (define @t61 () (tptp.select @t60 tptp.i4)) % 2.41/2.70 (define @t62 () (tptp.select @t60 tptp.i5)) % 2.41/2.70 (define @t63 () (tptp.store @t60 tptp.i4 @t62)) % 2.41/2.70 (define @t64 () (tptp.store @t63 tptp.i5 @t61)) % 2.41/2.70 (define @t65 () (tptp.select @t64 tptp.i0)) % 2.41/2.70 (define @t66 () (tptp.store @t64 tptp.i0 @t65)) % 2.41/2.70 (define @t67 () (tptp.store @t66 tptp.i0 @t65)) % 2.41/2.70 (define @t68 () (tptp.select @t67 tptp.i1)) % 2.41/2.70 (define @t69 () (tptp.select @t67 tptp.i2)) % 2.41/2.70 (define @t70 () (tptp.store @t67 tptp.i1 @t69)) % 2.41/2.70 (define @t71 () (tptp.store @t70 tptp.i2 @t68)) % 2.41/2.70 (define @t72 () (tptp.select @t71 tptp.i3)) % 2.41/2.70 (define @t73 () (tptp.select @t71 tptp.i0)) % 2.41/2.70 (define @t74 () (tptp.store @t71 tptp.i3 @t73)) % 2.41/2.70 (define @t75 () (tptp.store @t74 tptp.i0 @t72)) % 2.41/2.70 (define @t76 () (tptp.select @t75 tptp.i9)) % 2.41/2.70 (define @t77 () (tptp.select @t75 tptp.i5)) % 2.41/2.70 (define @t78 () (tptp.store @t75 tptp.i9 @t77)) % 2.41/2.70 (define @t79 () (tptp.store @t78 tptp.i5 @t76)) % 2.41/2.70 (define @t80 () (= @t79 (tptp.store (tptp.store @t43 tptp.i5 (tptp.select @t43 tptp.i9)) tptp.i9 (tptp.select @t43 tptp.i5)))) % 2.41/2.70 (define @t81 () (= @t16 @t44)) % 2.41/2.70 (define @t82 () (or (= tptp.i7 tptp.i8) @t81)) % 2.41/2.70 (define @t83 () (= tptp.i8 tptp.i7)) % 2.41/2.70 (define @t84 () (or @t83 @t81)) % 2.41/2.70 (define @t85 () (@list false)) % 2.41/2.70 (define @t86 () (@list @t12)) % 2.41/2.70 (define @t87 () (= tptp.a1 (tptp.store tptp.a1 tptp.i8 @t14))) % 2.41/2.70 (define @t88 () (tptp.store tptp.a1 tptp.i7 @t13)) % 2.41/2.70 (define @t89 () (= tptp.a1 @t88)) % 2.41/2.70 (define @t90 () (and @t83 @t87 @t89)) % 2.41/2.70 (define @t91 () (@list false false false false)) % 2.41/2.70 (define @t92 () (tptp.store @t48 tptp.i5 @t49)) % 2.41/2.70 (define @t93 () (tptp.store @t92 tptp.i8 @t50)) % 2.41/2.70 (define @t94 () (= @t52 @t93)) % 2.41/2.70 (define @t95 () (= tptp.i8 tptp.i5)) % 2.41/2.70 (define @t96 () (or @t95 @t94)) % 2.41/2.70 (define @t97 () (= @t17 @t22)) % 2.41/2.70 (define @t98 () (= @t45 @t49)) % 2.41/2.70 (define @t99 () (tptp.store @t20 tptp.i8 @t22)) % 2.41/2.70 (define @t100 () (= @t20 @t99)) % 2.41/2.70 (define @t101 () (= @t20 (tptp.store @t20 tptp.i5 @t21))) % 2.41/2.70 (define @t102 () (tptp.store @t20 tptp.i8 @t21)) % 2.41/2.70 (define @t103 () (and @t97 @t98 @t95 @t100 @t101 @t81)) % 2.41/2.70 (define @t104 () (not @t81)) % 2.41/2.70 (define @t105 () (not @t98)) % 2.41/2.70 (define @t106 () (not @t97)) % 2.41/2.70 (define @t107 () (tptp.store @t67 tptp.i2 @t68)) % 2.41/2.70 (define @t108 () (tptp.store @t107 tptp.i1 @t69)) % 2.41/2.70 (define @t109 () (= @t71 @t108)) % 2.41/2.70 (define @t110 () (= tptp.i1 tptp.i2)) % 2.41/2.70 (define @t111 () (or @t110 @t109)) % 2.41/2.70 (define @t112 () (= @t36 @t38)) % 2.41/2.70 (define @t113 () (tptp.store @t39 tptp.i1 @t41)) % 2.41/2.70 (define @t114 () (= @t39 @t113)) % 2.41/2.70 (define @t115 () (tptp.store @t39 tptp.i2 @t40)) % 2.41/2.70 (define @t116 () (= @t39 @t115)) % 2.41/2.70 (define @t117 () (= @t64 @t66)) % 2.41/2.70 (define @t118 () (tptp.store @t56 tptp.i1 @t57)) % 2.41/2.70 (define @t119 () (tptp.store @t118 tptp.i7 @t58)) % 2.41/2.70 (define @t120 () (= @t60 @t119)) % 2.41/2.70 (define @t121 () (tptp.select @t66 tptp.i1)) % 2.41/2.70 (define @t122 () (tptp.select @t38 tptp.i1)) % 2.41/2.70 (define @t123 () (tptp.store @t38 tptp.i2 @t41)) % 2.41/2.70 (define @t124 () (tptp.store @t39 tptp.i1 @t40)) % 2.41/2.70 (define @t125 () (and @t97 @t98 @t112 @t114 @t116 @t117 @t81 @t110 @t94 @t120)) % 2.41/2.70 (define @t126 () (not @t120)) % 2.41/2.70 (define @t127 () (not @t94)) % 2.41/2.70 (define @t128 () (not @t117)) % 2.41/2.70 (define @t129 () (not @t112)) % 2.41/2.70 (define @t130 () (tptp.store @t75 tptp.i5 @t76)) % 2.41/2.70 (define @t131 () (tptp.store @t130 tptp.i9 @t77)) % 2.41/2.70 (define @t132 () (= @t79 @t131)) % 2.41/2.70 (define @t133 () (or (= tptp.i9 tptp.i5) @t132)) % 2.41/2.70 (define @t134 () (= tptp.i5 tptp.i9)) % 2.41/2.70 (define @t135 () (or @t134 @t132)) % 2.41/2.70 (define @t136 () (= @t75 (tptp.store @t75 tptp.i5 @t77))) % 2.41/2.70 (define @t137 () (tptp.store @t75 tptp.i9 @t76)) % 2.41/2.70 (define @t138 () (= @t75 @t137)) % 2.41/2.70 (define @t139 () (and @t134 @t136 @t138)) % 2.41/2.70 (define @t140 () (and @t97 @t98 @t112 @t117 @t81 @t94 @t120 @t109 @t132)) % 2.41/2.70 (define @t141 () (= tptp.i7 tptp.i1)) % 2.41/2.70 (define @t142 () (or @t141 @t120)) % 2.41/2.70 (define @t143 () (tptp.store @t28 tptp.i7 @t30)) % 2.41/2.70 (define @t144 () (= @t28 @t143)) % 2.41/2.70 (define @t145 () (tptp.store @t56 tptp.i1 @t58)) % 2.41/2.70 (define @t146 () (= @t56 @t145)) % 2.41/2.70 (define @t147 () (tptp.store @t28 tptp.i7 @t29)) % 2.41/2.70 (define @t148 () (and @t97 @t98 @t144 @t146 @t81 @t141 @t94)) % 2.41/2.70 (assume @p1 @t6) % 2.41/2.70 (assume @p2 (forall (@list @t2 @t7 @t3 @t1) (or @t8 (= (tptp.select @t4 @t7) (tptp.select @t3 @t7))))) % 2.41/2.70 (assume @p3 @t10) % 2.41/2.70 (assume @p4 (forall (@list @t3 @t2 @t1 @t11) (= (tptp.store @t4 @t2 @t11) (tptp.store @t3 @t2 @t11)))) % 2.41/2.70 (assume @p5 @t12) % 2.41/2.70 (assume @p6 (not @t80)) % 2.41/2.70 (step @p7 :rule eq-symm :args (@t5 @t1)) % 2.41/2.70 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 2.41/2.70 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 2.41/2.70 (step @p10 :rule instantiate :premises (@p9) :args ((@list @t19 tptp.i8 @t17))) % 2.41/2.70 (step @p11 :rule instantiate :premises (@p9) :args ((@list @t47 tptp.i8 @t45))) % 2.41/2.70 (step @p12 :rule eq-symm :args (@t9 @t3)) % 2.41/2.70 (step @p13 :rule cong :premises (@p12) :args (@t10)) % 2.41/2.70 (step @p14 :rule eq_resolve :premises (@p3 @p13)) % 2.41/2.70 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t28 tptp.i7))) % 2.41/2.70 (step @p16 :rule instantiate :premises (@p14) :args ((@list @t56 tptp.i1))) % 2.41/2.70 (step @p17 :rule refl :args (@t81)) % 2.41/2.70 (step @p18 :rule eq-symm :args (tptp.i7 tptp.i8)) % 2.41/2.70 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t82)) % 2.41/2.70 (step @p20 :rule refl :args (@t12)) % 2.41/2.70 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t12 @t82))) % 2.41/2.70 (assume-push @p491 @t12) % 2.41/2.70 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.i7 tptp.i8 tptp.a1 @t14 @t13))) % 2.41/2.70 (step-pop @p492 :rule scope :premises (@p23)) % 2.41/2.70 (step @p24 :rule process_scope :premises (@p492) :args (@t82)) % 2.41/2.70 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 2.41/2.70 (step @p27 :rule implies_elim :premises (@p26)) % 2.41/2.70 (step @p28 :rule chain_m_resolution :premises (@p27 @p5) :args (@t84 @t85 @t86)) % 2.41/2.70 (step @p29 :rule cnf_or_pos :args (@t84)) % 2.41/2.70 (step @p30 :rule reordering :premises (@p29) :args ((or @t83 @t81 (not @t84)))) % 2.41/2.70 (step @p31 :rule instantiate :premises (@p14) :args ((@list tptp.a1 tptp.i8))) % 2.41/2.70 (step @p32 :rule instantiate :premises (@p14) :args ((@list tptp.a1 tptp.i7))) % 2.41/2.70 (assume-push @p493 @t83) % 2.41/2.70 (assume-push @p494 @t87) % 2.41/2.70 (assume-push @p495 @t89) % 2.41/2.70 (assume-push @p496 @t83) % 2.41/2.70 (assume-push @p497 @t89) % 2.41/2.70 (assume-push @p498 @t87) % 2.41/2.70 (step @p39 :rule refl :args (@t14)) % 2.41/2.70 (step @p40 :rule refl :args (tptp.i7)) % 2.41/2.70 (step @p41 :rule refl :args (@t13)) % 2.41/2.70 (step @p42 :rule symm :premises (@p493)) % 2.41/2.70 (step @p43 :rule refl :args (tptp.a1)) % 2.41/2.70 (step @p44 :rule cong :premises (@p43 @p42 @p41) :args (@t88)) % 2.41/2.70 (step @p45 :rule trans :premises (@p32 @p44)) % 2.41/2.70 (step @p46 :rule cong :premises (@p45 @p40 @p39) :args (@t15)) % 2.41/2.70 (step @p47 :rule cong :premises (@p43 @p42) :args (@t13)) % 2.41/2.70 (step @p48 :rule symm :premises (@p31)) % 2.41/2.70 (step @p49 :rule cong :premises (@p43 @p42 @p39) :args (@t15)) % 2.41/2.70 (step @p50 :rule trans :premises (@p49 @p48)) % 2.41/2.70 (step @p51 :rule cong :premises (@p50 @p493 @p47) :args (@t16)) % 2.41/2.70 (step @p52 :rule trans :premises (@p51 @p46)) % 2.41/2.70 (step-pop @p499 :rule scope :premises (@p52)) % 2.41/2.70 (step-pop @p500 :rule scope :premises (@p499)) % 2.41/2.70 (step-pop @p501 :rule scope :premises (@p500)) % 2.41/2.70 (step @p53 :rule process_scope :premises (@p501) :args (@t81)) % 2.41/2.70 (step @p57 :rule and_intro :premises (@p493 @p32 @p31)) % 2.41/2.70 (step @p58 :rule modus_ponens :premises (@p57 @p53)) % 2.41/2.70 (step-pop @p502 :rule scope :premises (@p58)) % 2.41/2.70 (step-pop @p503 :rule scope :premises (@p502)) % 2.41/2.70 (step-pop @p504 :rule scope :premises (@p503)) % 2.41/2.70 (step @p59 :rule process_scope :premises (@p504) :args (@t81)) % 2.41/2.70 (step @p63 :rule implies_elim :premises (@p59)) % 2.41/2.70 (step @p64 :rule cnf_and_neg :args (@t90)) % 2.41/2.70 (step @p65 :rule resolution :premises (@p64 @p63) :args (true @t90)) % 2.41/2.70 (step @p66 :rule reordering :premises (@p65) :args ((or @t81 (not @t83) (not @t87) (not @t89)))) % 2.41/2.70 (step @p67 :rule chain_m_resolution :premises (@p66 @p32 @p31 @p30 @p28) :args (@t81 @t91 (@list @t89 @t87 @t83 @t84))) % 2.41/2.70 (step @p68 :rule instantiate :premises (@p5) :args ((@list tptp.i8 tptp.i5 @t48 @t50 @t49))) % 2.41/2.70 (step @p69 :rule cnf_or_pos :args (@t96)) % 2.41/2.70 (step @p70 :rule reordering :premises (@p69) :args ((or @t95 @t94 (not @t96)))) % 2.41/2.70 (step @p71 :rule instantiate :premises (@p14) :args ((@list @t20 tptp.i8))) % 2.41/2.70 (step @p72 :rule instantiate :premises (@p14) :args ((@list @t20 tptp.i5))) % 2.41/2.70 (assume-push @p505 @t97) % 2.41/2.70 (assume-push @p506 @t98) % 2.41/2.70 (assume-push @p507 @t95) % 2.41/2.70 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2.41/2.70 (step @p317 :rule resolution :premises (@p316 @p315) :args (true @t139)) % 2.41/2.70 (step @p318 :rule reordering :premises (@p317) :args ((or @t132 (not @t134) (not @t136) (not @t138)))) % 2.41/2.70 (step @p319 :rule chain_m_resolution :premises (@p318 @p285 @p284 @p283 @p281) :args (@t132 @t91 (@list @t138 @t136 @t134 @t135))) % 2.41/2.70 (assume-push @p583 @t97) % 2.41/2.70 (assume-push @p584 @t98) % 2.41/2.70 (assume-push @p585 @t112) % 2.41/2.70 (assume-push @p586 @t117) % 2.41/2.70 (assume-push @p587 @t81) % 2.41/2.70 (assume-push @p588 @t94) % 2.41/2.70 (assume-push @p589 @t120) % 2.41/2.70 (assume-push @p590 @t109) % 2.41/2.70 (assume-push @p591 @t132) % 2.41/2.70 (assume-push @p592 @t112) % 2.41/2.70 (assume-push @p593 @t81) % 2.41/2.70 (assume-push @p594 @t97) % 2.41/2.70 (assume-push @p595 @t98) % 2.41/2.70 (assume-push @p596 @t94) % 2.41/2.70 (assume-push @p597 @t120) % 2.41/2.70 (assume-push @p598 @t117) % 2.41/2.70 (assume-push @p599 @t109) % 2.41/2.70 (assume-push @p600 @t132) % 2.41/2.70 (step @p105 :rule refl :args (tptp.i5)) % 2.41/2.70 (step @p338 :rule refl :args (tptp.i3)) % 2.41/2.70 (step @p164 :rule refl :args (tptp.i2)) % 2.41/2.70 (step @p199 :rule refl :args (@t37)) % 2.41/2.70 (step @p166 :rule refl :args (tptp.i0)) % 2.41/2.70 (step @p196 :rule symm :premises (@p140)) % 2.41/2.70 (step @p200 :rule cong :premises (@p196 @p166 @p199) :args (@t39)) % 2.41/2.70 (step @p201 :rule cong :premises (@p200 @p164) :args (@t40)) % 2.41/2.70 (step @p218 :rule symm :premises (@p201)) % 2.41/2.70 (step @p169 :rule refl :args (tptp.i4)) % 2.41/2.70 (step @p171 :rule refl :args (tptp.i1)) % 2.41/2.70 (step @p87 :rule refl :args (tptp.i6)) % 2.41/2.70 (step @p339 :rule symm :premises (@p587)) % 2.41/2.70 (step @p340 :rule cong :premises (@p339 @p87) :args (@t45)) % 2.41/2.70 (step @p91 :rule refl :args (tptp.i8)) % 2.41/2.70 (step @p341 :rule cong :premises (@p339 @p91) :args (@t46)) % 2.41/2.70 (step @p342 :rule cong :premises (@p339 @p87 @p341) :args (@t47)) % 2.41/2.70 (step @p343 :rule cong :premises (@p342 @p91 @p340) :args (@t48)) % 2.41/2.70 (step @p344 :rule cong :premises (@p343 @p105) :args (@t50)) % 2.41/2.70 (step @p345 :rule symm :premises (@p11)) % 2.41/2.70 (step @p346 :rule trans :premises (@p345 @p340 @p10)) % 2.41/2.70 (step @p347 :rule cong :premises (@p343 @p105 @p346) :args (@t92)) % 2.41/2.70 (step @p348 :rule cong :premises (@p347 @p91 @p344) :args (@t93)) % 2.41/2.70 (step @p349 :rule trans :premises (@p588 @p348)) % 2.41/2.70 (step @p350 :rule cong :premises (@p349 @p169) :args (@t53)) % 2.41/2.70 (step @p183 :rule refl :args (tptp.i9)) % 2.41/2.70 (step @p351 :rule cong :premises (@p349 @p183) :args (@t54)) % 2.41/2.70 (step @p352 :rule cong :premises (@p349 @p169 @p351) :args (@t55)) % 2.41/2.70 (step @p353 :rule cong :premises (@p352 @p183 @p350) :args (@t56)) % 2.41/2.70 (step @p354 :rule cong :premises (@p353 @p171) :args (@t58)) % 2.41/2.70 (step @p40 :rule refl :args (tptp.i7)) % 2.41/2.70 (step @p355 :rule cong :premises (@p353 @p40) :args (@t57)) % 2.41/2.70 (step @p356 :rule cong :premises (@p353 @p171 @p355) :args (@t118)) % 2.41/2.70 (step @p357 :rule cong :premises (@p356 @p40 @p354) :args (@t119)) % 2.41/2.70 (step @p358 :rule trans :premises (@p589 @p357)) % 2.41/2.70 (step @p359 :rule cong :premises (@p358 @p169) :args (@t61)) % 2.41/2.70 (step @p360 :rule cong :premises (@p358 @p105) :args (@t62)) % 2.41/2.70 (step @p361 :rule cong :premises (@p358 @p169 @p360) :args (@t63)) % 2.41/2.70 (step @p362 :rule cong :premises (@p361 @p105 @p359) :args (@t64)) % 2.41/2.70 (step @p165 :rule refl :args (@t65)) % 2.41/2.70 (step @p167 :rule cong :premises (@p143 @p166 @p165) :args (@t66)) % 2.41/2.70 (step @p168 :rule trans :premises (@p143 @p167)) % 2.41/2.70 (step @p226 :rule symm :premises (@p168)) % 2.41/2.70 (step @p363 :rule trans :premises (@p226 @p362 @p140)) % 2.41/2.70 (step @p364 :rule cong :premises (@p363 @p164) :args (@t69)) % 2.41/2.70 (step @p365 :rule trans :premises (@p364 @p218)) % 2.41/2.70 (step @p210 :rule refl :args (@t41)) % 2.41/2.70 (step @p212 :rule symm :premises (@p200)) % 2.41/2.70 (step @p366 :rule cong :premises (@p212 @p164 @p210) :args (@t123)) % 2.41/2.70 (step @p367 :rule cong :premises (@p212 @p171) :args (@t122)) % 2.41/2.70 (step @p368 :rule symm :premises (@p143)) % 2.41/2.70 (step @p369 :rule trans :premises (@p368 @p362 @p140)) % 2.41/2.70 (step @p370 :rule cong :premises (@p369 @p171) :args (@t121)) % 2.41/2.70 (step @p371 :rule cong :premises (@p368 @p166 @p165) :args (@t67)) % 2.41/2.70 (step @p372 :rule cong :premises (@p371 @p171) :args (@t68)) % 2.41/2.70 (step @p373 :rule trans :premises (@p372 @p370 @p367)) % 2.41/2.70 (step @p374 :rule cong :premises (@p363 @p164 @p373) :args (@t107)) % 2.41/2.70 (step @p375 :rule trans :premises (@p374 @p366)) % 2.41/2.70 (step @p376 :rule cong :premises (@p375 @p171 @p365) :args (@t108)) % 2.41/2.70 (step @p377 :rule trans :premises (@p590 @p376)) % 2.41/2.70 (step @p378 :rule cong :premises (@p377 @p338) :args (@t72)) % 2.41/2.70 (step @p379 :rule cong :premises (@p377 @p166) :args (@t73)) % 2.41/2.70 (step @p380 :rule cong :premises (@p377 @p338 @p379) :args (@t74)) % 2.41/2.70 (step @p381 :rule cong :premises (@p380 @p166 @p378) :args (@t75)) % 2.41/2.70 (step @p382 :rule cong :premises (@p381 @p105) :args (@t77)) % 2.41/2.70 (step @p383 :rule cong :premises (@p381 @p183) :args (@t76)) % 2.41/2.70 (step @p384 :rule cong :premises (@p381 @p105 @p383) :args (@t130)) % 2.41/2.70 (step @p385 :rule cong :premises (@p384 @p183 @p382) :args (@t131)) % 2.41/2.70 (step @p386 :rule trans :premises (@p591 @p385)) % 2.41/2.70 (step-pop @p601 :rule scope :premises (@p386)) % 2.41/2.70 (step-pop @p602 :rule scope :premises (@p601)) % 2.41/2.70 (step-pop @p603 :rule scope :premises (@p602)) % 2.41/2.70 (step-pop @p604 :rule scope :premises (@p603)) % 2.41/2.70 (step-pop @p605 :rule scope :premises (@p604)) % 2.41/2.70 (step-pop @p606 :rule scope :premises (@p605)) % 2.41/2.70 (step-pop @p607 :rule scope :premises (@p606)) % 2.41/2.70 (step-pop @p608 :rule scope :premises (@p607)) % 2.41/2.70 (step-pop @p609 :rule scope :premises (@p608)) % 2.41/2.70 (step @p387 :rule process_scope :premises (@p609) :args (@t80)) % 2.41/2.70 (step @p397 :rule and_intro :premises (@p140 @p587 @p10 @p11 @p588 @p589 @p143 @p590 @p591)) % 2.41/2.70 (step @p398 :rule modus_ponens :premises (@p397 @p387)) % 2.41/2.70 (step-pop @p610 :rule scope :premises (@p398)) % 2.41/2.70 (step-pop @p611 :rule scope :premises (@p610)) % 2.41/2.70 (step-pop @p612 :rule scope :premises (@p611)) % 2.41/2.70 (step-pop @p613 :rule scope :premises (@p612)) % 2.41/2.70 (step-pop @p614 :rule scope :premises (@p613)) % 2.41/2.70 (step-pop @p615 :rule scope :premises (@p614)) % 2.41/2.70 (step-pop @p616 :rule scope :premises (@p615)) % 2.41/2.70 (step-pop @p617 :rule scope :premises (@p616)) % 2.41/2.70 (step-pop @p618 :rule scope :premises (@p617)) % 2.41/2.70 (step @p399 :rule process_scope :premises (@p618) :args (@t80)) % 2.41/2.70 (step @p409 :rule implies_elim :premises (@p399)) % 2.41/2.70 (step @p410 :rule cnf_and_neg :args (@t140)) % 2.41/2.70 (step @p411 :rule resolution :premises (@p410 @p409) :args (true @t140)) % 2.41/2.70 (step @p412 :rule reordering :premises (@p411) :args ((or @t80 @t106 @t105 @t129 @t128 @t104 @t127 @t126 (not @t109) (not @t132)))) % 2.41/2.70 (step @p413 :rule chain_m_resolution :premises (@p412 @p136 @p67 @p319 @p143 @p140 @p11 @p10 @p6 @p270) :args (@t126 (@list false false false false false false false true false) (@list @t94 @t81 @t132 @t117 @t112 @t98 @t97 @t80 @t109))) % 2.41/2.70 (step @p414 :rule instantiate :premises (@p5) :args ((@list tptp.i7 tptp.i1 @t56 @t58 @t57))) % 2.41/2.70 (step @p415 :rule cnf_or_pos :args (@t142)) % 2.41/2.70 (step @p416 :rule reordering :premises (@p415) :args ((or @t141 @t120 (not @t142)))) % 2.41/2.70 (step @p417 :rule chain_m_resolution :premises (@p416 @p413 @p414) :args (@t141 (@list true false) (@list @t120 @t142))) % 2.41/2.70 (assume-push @p619 @t97) % 2.41/2.70 (assume-push @p620 @t98) % 2.41/2.70 (assume-push @p621 @t144) % 2.41/2.70 (assume-push @p622 @t146) % 2.41/2.70 (assume-push @p623 @t81) % 2.41/2.70 (assume-push @p624 @t141) % 2.41/2.70 (assume-push @p625 @t94) % 2.41/2.70 (assume-push @p626 @t94) % 2.41/2.70 (assume-push @p627 @t81) % 2.41/2.70 (assume-push @p628 @t98) % 2.41/2.70 (assume-push @p629 @t97) % 2.41/2.70 (assume-push @p630 @t141) % 2.41/2.70 (assume-push @p631 @t144) % 2.41/2.70 (assume-push @p632 @t146) % 2.41/2.70 (step @p432 :rule refl :args (@t58)) % 2.41/2.70 (step @p433 :rule symm :premises (@p624)) % 2.41/2.70 (step @p40 :rule refl :args (tptp.i7)) % 2.41/2.70 (step @p169 :rule refl :args (tptp.i4)) % 2.41/2.70 (step @p434 :rule symm :premises (@p625)) % 2.41/2.70 (step @p105 :rule refl :args (tptp.i5)) % 2.41/2.70 (step @p87 :rule refl :args (tptp.i6)) % 2.41/2.70 (step @p435 :rule cong :premises (@p623 @p87) :args (@t17)) % 2.41/2.70 (step @p91 :rule refl :args (tptp.i8)) % 2.41/2.70 (step @p436 :rule cong :premises (@p623 @p91) :args (@t18)) % 2.41/2.70 (step @p437 :rule cong :premises (@p623 @p87 @p436) :args (@t19)) % 2.41/2.70 (step @p438 :rule cong :premises (@p437 @p91 @p435) :args (@t20)) % 2.41/2.70 (step @p439 :rule cong :premises (@p438 @p105) :args (@t21)) % 2.41/2.70 (step @p89 :rule symm :premises (@p10)) % 2.41/2.70 (step @p440 :rule trans :premises (@p89 @p435 @p11)) % 2.41/2.70 (step @p441 :rule cong :premises (@p438 @p105 @p440) :args (@t23)) % 2.41/2.70 (step @p442 :rule cong :premises (@p441 @p91 @p439) :args (@t24)) % 2.41/2.70 (step @p443 :rule trans :premises (@p442 @p434)) % 2.41/2.70 (step @p444 :rule cong :premises (@p443 @p169) :args (@t25)) % 2.41/2.70 (step @p183 :rule refl :args (tptp.i9)) % 2.41/2.70 (step @p445 :rule cong :premises (@p443 @p183) :args (@t26)) % 2.41/2.70 (step @p446 :rule cong :premises (@p443 @p169 @p445) :args (@t27)) % 2.41/2.70 (step @p447 :rule cong :premises (@p446 @p183 @p444) :args (@t28)) % 2.41/2.70 (step @p448 :rule cong :premises (@p447 @p40) :args (@t30)) % 2.41/2.70 (step @p171 :rule refl :args (tptp.i1)) % 2.41/2.70 (step @p449 :rule cong :premises (@p447 @p171 @p448) :args (@t31)) % 2.41/2.70 (step @p450 :rule symm :premises (@p449)) % 2.41/2.70 (step @p451 :rule cong :premises (@p447 @p624 @p448) :args (@t143)) % 2.41/2.70 (step @p452 :rule symm :premises (@p447)) % 2.41/2.70 (step @p453 :rule trans :premises (@p452 @p15 @p451 @p450)) % 2.41/2.70 (step @p454 :rule trans :premises (@p453 @p449)) % 2.41/2.70 (step @p455 :rule cong :premises (@p454 @p433 @p432) :args (@t145)) % 2.41/2.70 (step @p456 :rule cong :premises (@p447 @p624) :args (@t30)) % 2.41/2.70 (step @p457 :rule symm :premises (@p16)) % 2.41/2.70 (step @p458 :rule refl :args (@t56)) % 2.41/2.70 (step @p459 :rule cong :premises (@p458 @p624 @p432) :args (@t59)) % 2.41/2.70 (step @p460 :rule cong :premises (@p447 @p171) :args (@t29)) % 2.41/2.70 (step @p461 :rule cong :premises (@p447 @p40 @p460) :args (@t147)) % 2.41/2.70 (step @p462 :rule trans :premises (@p461 @p459 @p457)) % 2.41/2.70 (step @p463 :rule cong :premises (@p462 @p171 @p456) :args ((tptp.store @t147 tptp.i1 @t30))) % 2.41/2.70 (step @p464 :rule symm :premises (@p448)) % 2.41/2.70 (step @p465 :rule symm :premises (@p461)) % 2.41/2.70 (step @p466 :rule cong :premises (@p465 @p171 @p464) :args (@t60)) % 2.41/2.70 (step @p467 :rule trans :premises (@p466 @p463 @p455)) % 2.41/2.70 (step-pop @p633 :rule scope :premises (@p467)) % 2.41/2.70 (step-pop @p634 :rule scope :premises (@p633)) % 2.41/2.70 (step-pop @p635 :rule scope :premises (@p634)) % 2.41/2.70 (step-pop @p636 :rule scope :premises (@p635)) % 2.41/2.70 (step-pop @p637 :rule scope :premises (@p636)) % 2.41/2.70 (step-pop @p638 :rule scope :premises (@p637)) % 2.41/2.70 (step-pop @p639 :rule scope :premises (@p638)) % 2.41/2.70 (step @p468 :rule process_scope :premises (@p639) :args (@t120)) % 2.41/2.70 (step @p476 :rule and_intro :premises (@p625 @p623 @p11 @p10 @p624 @p15 @p16)) % 2.41/2.70 (step @p477 :rule modus_ponens :premises (@p476 @p468)) % 2.41/2.70 (step-pop @p640 :rule scope :premises (@p477)) % 2.41/2.70 (step-pop @p641 :rule scope :premises (@p640)) % 2.41/2.70 (step-pop @p642 :rule scope :premises (@p641)) % 2.41/2.70 (step-pop @p643 :rule scope :premises (@p642)) % 2.41/2.70 (step-pop @p644 :rule scope :premises (@p643)) % 2.41/2.70 (step-pop @p645 :rule scope :premises (@p644)) % 2.41/2.70 (step-pop @p646 :rule scope :premises (@p645)) % 2.41/2.70 (step @p478 :rule process_scope :premises (@p646) :args (@t120)) % 2.41/2.70 (step @p486 :rule implies_elim :premises (@p478)) % 2.41/2.70 (step @p487 :rule cnf_and_neg :args (@t148)) % 2.41/2.70 (step @p488 :rule resolution :premises (@p487 @p486) :args (true @t148)) % 2.41/2.70 (step @p489 :rule reordering :premises (@p488) :args ((or @t120 @t106 @t105 (not @t144) (not @t146) @t104 (not @t141) @t127))) % 2.41/2.70 (step @p490 false :rule chain_m_resolution :premises (@p489 @p417 @p413 @p136 @p67 @p16 @p15 @p11 @p10) :args (false (@list false true false false false false false false) (@list @t141 @t120 @t94 @t81 @t146 @t144 @t98 @t97))) % 2.41/2.70 ) % 2.41/2.70 % SZS output end Proof % 2.41/2.70 % cvc5 exiting %------------------------------------------------------------------------------