%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO004-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 27.45s 27.89s % Output : Proof 27.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO004-10 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 : Wed Jun 3 02:34:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.57 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.33/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.45/27.89 % SZS status Unsatisfiable % 27.45/27.89 % SZS output start Proof % 27.45/27.89 ( % 27.45/27.89 (declare-sort $$unsorted 0) % 27.45/27.89 (declare-const tptp.x $$unsorted) % 27.45/27.89 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.45/27.89 (declare-const tptp.multiplicative_identity $$unsorted) % 27.45/27.89 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 27.45/27.89 (declare-const tptp.additive_identity $$unsorted) % 27.45/27.89 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.45/27.89 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 27.45/27.89 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 27.45/27.89 (declare-const tptp.true $$unsorted) % 27.45/27.89 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.45/27.89 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.45/27.89 (define @t1 () (@var "B" $$unsorted)) % 27.45/27.89 (define @t2 () (@var "C" $$unsorted)) % 27.45/27.89 (define @t3 () (@var "A" $$unsorted)) % 27.45/27.89 (define @t4 () (@list @t3 @t1 @t2)) % 27.45/27.89 (define @t5 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 27.45/27.89 (define @t6 () (forall @t4 (= @t5 @t1))) % 27.45/27.89 (define @t7 () (@var "Y" $$unsorted)) % 27.45/27.89 (define @t8 () (@var "X" $$unsorted)) % 27.45/27.89 (define @t9 () (tptp.sum @t8 @t7 (tptp.add @t8 @t7))) % 27.45/27.89 (define @t10 () (@list @t8 @t7)) % 27.45/27.89 (define @t11 () (forall @t10 (= @t9 tptp.true))) % 27.45/27.89 (define @t12 () (tptp.product @t8 @t7 (tptp.multiply @t8 @t7))) % 27.45/27.89 (define @t13 () (forall @t10 (= @t12 tptp.true))) % 27.45/27.89 (define @t14 () (@var "Z" $$unsorted)) % 27.45/27.89 (define @t15 () (@list @t8 @t7 @t14)) % 27.45/27.89 (define @t16 () (tptp.sum tptp.additive_identity @t8 @t8)) % 27.45/27.89 (define @t17 () (@list @t8)) % 27.45/27.89 (define @t18 () (forall @t17 (= @t16 tptp.true))) % 27.45/27.89 (define @t19 () (tptp.sum @t8 tptp.additive_identity @t8)) % 27.45/27.89 (define @t20 () (forall @t17 (= @t19 tptp.true))) % 27.45/27.89 (define @t21 () (tptp.product @t8 tptp.multiplicative_identity @t8)) % 27.45/27.89 (define @t22 () (forall @t17 (= @t21 tptp.true))) % 27.45/27.89 (define @t23 () (@var "V4" $$unsorted)) % 27.45/27.89 (define @t24 () (@var "V2" $$unsorted)) % 27.45/27.89 (define @t25 () (@var "V1" $$unsorted)) % 27.45/27.89 (define @t26 () (tptp.sum @t25 @t24 @t23)) % 27.45/27.89 (define @t27 () (@var "V3" $$unsorted)) % 27.45/27.89 (define @t28 () (tptp.sum @t7 @t14 @t27)) % 27.45/27.89 (define @t29 () (tptp.ifeq @t28 tptp.true @t26 tptp.true)) % 27.45/27.89 (define @t30 () (tptp.product @t8 @t7 @t25)) % 27.45/27.89 (define @t31 () (tptp.product @t8 @t14 @t24)) % 27.45/27.89 (define @t32 () (tptp.product @t8 @t27 @t23)) % 27.45/27.89 (define @t33 () (tptp.ifeq @t32 tptp.true (tptp.ifeq @t31 tptp.true (tptp.ifeq @t30 tptp.true @t29 tptp.true) tptp.true) tptp.true)) % 27.45/27.89 (define @t34 () (forall (@list @t8 @t27 @t23 @t14 @t24 @t7 @t25) (= @t33 tptp.true))) % 27.45/27.89 (define @t35 () (tptp.product @t7 @t8 @t25)) % 27.45/27.89 (define @t36 () (tptp.product @t14 @t8 @t24)) % 27.45/27.89 (define @t37 () (tptp.product @t27 @t8 @t23)) % 27.45/27.89 (define @t38 () (tptp.ifeq @t37 tptp.true (tptp.ifeq @t36 tptp.true (tptp.ifeq @t35 tptp.true @t29 tptp.true) tptp.true) tptp.true)) % 27.45/27.89 (define @t39 () (forall (@list @t27 @t8 @t23 @t14 @t24 @t7 @t25) (= @t38 tptp.true))) % 27.45/27.89 (define @t40 () (tptp.product @t25 @t24 @t23)) % 27.45/27.89 (define @t41 () (tptp.sum @t8 @t7 @t25)) % 27.45/27.89 (define @t42 () (tptp.sum @t8 @t14 @t24)) % 27.45/27.89 (define @t43 () (tptp.sum @t8 @t27 @t23)) % 27.45/27.89 (define @t44 () (tptp.product @t7 @t14 @t27)) % 27.45/27.89 (define @t45 () (tptp.ifeq @t44 tptp.true (tptp.ifeq @t43 tptp.true (tptp.ifeq @t42 tptp.true (tptp.ifeq @t41 tptp.true @t40 tptp.true) tptp.true) tptp.true) tptp.true)) % 27.45/27.89 (define @t46 () (@list @t7 @t14 @t27 @t8 @t23 @t24 @t25)) % 27.45/27.89 (define @t47 () (forall @t46 (= @t45 tptp.true))) % 27.45/27.89 (define @t48 () (@list @t25 @t24 @t23 @t7 @t14 @t27 @t8)) % 27.45/27.89 (define @t49 () (tptp.sum @t7 @t8 @t25)) % 27.45/27.89 (define @t50 () (tptp.sum @t14 @t8 @t24)) % 27.45/27.89 (define @t51 () (tptp.sum @t27 @t8 @t23)) % 27.45/27.89 (define @t52 () (tptp.inverse @t8)) % 27.45/27.89 (define @t53 () (tptp.sum @t52 @t8 tptp.multiplicative_identity)) % 27.45/27.89 (define @t54 () (forall @t17 (= @t53 tptp.true))) % 27.45/27.89 (define @t55 () (tptp.sum @t8 @t52 tptp.multiplicative_identity)) % 27.45/27.89 (define @t56 () (forall @t17 (= @t55 tptp.true))) % 27.45/27.89 (define @t57 () (tptp.product @t8 @t52 tptp.additive_identity)) % 27.45/27.89 (define @t58 () (forall @t17 (= @t57 tptp.true))) % 27.45/27.89 (define @t59 () (@var "V" $$unsorted)) % 27.45/27.89 (define @t60 () (@var "U" $$unsorted)) % 27.45/27.89 (define @t61 () (@list @t8 @t7 @t59 @t60)) % 27.45/27.89 (define @t62 () (tptp.sum tptp.x tptp.x tptp.x)) % 27.45/27.89 (define @t63 () (@list tptp.x tptp.x)) % 27.45/27.89 (define @t64 () (@list tptp.x)) % 27.45/27.89 (define @t65 () (tptp.inverse tptp.x)) % 27.45/27.89 (define @t66 () (tptp.multiply tptp.x tptp.x)) % 27.45/27.89 (define @t67 () (tptp.sum tptp.additive_identity @t66 tptp.x)) % 27.45/27.89 (define @t68 () (tptp.sum @t65 tptp.x tptp.multiplicative_identity)) % 27.45/27.89 (define @t69 () (tptp.ifeq @t68 tptp.true @t67 tptp.true)) % 27.45/27.89 (define @t70 () (tptp.product tptp.x @t65 tptp.additive_identity)) % 27.45/27.89 (define @t71 () (tptp.ifeq @t70 tptp.true @t69 tptp.true)) % 27.45/27.89 (define @t72 () (tptp.product tptp.x tptp.x @t66)) % 27.45/27.89 (define @t73 () (tptp.ifeq @t72 tptp.true @t71 tptp.true)) % 27.45/27.89 (define @t74 () (tptp.product tptp.x tptp.multiplicative_identity tptp.x)) % 27.45/27.89 (define @t75 () (tptp.add tptp.x tptp.x)) % 27.45/27.89 (define @t76 () (tptp.product tptp.x tptp.x tptp.x)) % 27.45/27.89 (define @t77 () (tptp.sum tptp.additive_identity tptp.x tptp.x)) % 27.45/27.89 (define @t78 () (tptp.ifeq @t77 tptp.true @t76 tptp.true)) % 27.45/27.89 (define @t79 () (tptp.ifeq @t77 tptp.true @t78 tptp.true)) % 27.45/27.89 (define @t80 () (tptp.ifeq @t67 tptp.true @t79 tptp.true)) % 27.45/27.89 (define @t81 () (tptp.product @t75 tptp.multiplicative_identity tptp.x)) % 27.45/27.89 (define @t82 () (tptp.sum tptp.x tptp.x @t75)) % 27.45/27.89 (define @t83 () (tptp.ifeq @t82 tptp.true @t81 tptp.true)) % 27.45/27.89 (define @t84 () (tptp.sum tptp.x @t65 tptp.multiplicative_identity)) % 27.45/27.89 (define @t85 () (tptp.ifeq @t84 tptp.true @t83 tptp.true)) % 27.45/27.89 (define @t86 () (tptp.sum tptp.x tptp.additive_identity tptp.x)) % 27.45/27.89 (define @t87 () (tptp.ifeq @t86 tptp.true @t85 tptp.true)) % 27.45/27.89 (define @t88 () (= tptp.true @t82)) % 27.45/27.89 (define @t89 () (= tptp.true @t77)) % 27.45/27.89 (define @t90 () (= tptp.true @t86)) % 27.45/27.89 (define @t91 () (= tptp.true @t74)) % 27.45/27.89 (define @t92 () (= tptp.true @t68)) % 27.45/27.89 (define @t93 () (= tptp.true @t84)) % 27.45/27.89 (define @t94 () (= tptp.true @t70)) % 27.45/27.89 (define @t95 () (= tptp.true @t72)) % 27.45/27.89 (define @t96 () (tptp.ifeq @t74 tptp.true @t73 tptp.true)) % 27.45/27.89 (define @t97 () (= tptp.true @t96)) % 27.45/27.89 (define @t98 () (= @t73 (tptp.ifeq @t74 @t74 @t73 tptp.true))) % 27.45/27.89 (define @t99 () (= @t67 (tptp.ifeq @t68 @t68 @t67 tptp.true))) % 27.45/27.89 (define @t100 () (= tptp.true (tptp.ifeq @t72 tptp.true @t80 tptp.true))) % 27.45/27.89 (define @t101 () (= tptp.true (tptp.ifeq @t70 tptp.true @t87 tptp.true))) % 27.45/27.89 (define @t102 () (tptp.ifeq @t72 @t72 @t80 tptp.true)) % 27.45/27.89 (define @t103 () (= @t80 @t102)) % 27.45/27.89 (define @t104 () (tptp.ifeq @t70 @t70 @t87 tptp.true)) % 27.45/27.89 (define @t105 () (= @t87 @t104)) % 27.45/27.89 (define @t106 () (tptp.ifeq @t77 @t77 @t76 tptp.true)) % 27.45/27.89 (define @t107 () (= @t76 @t106)) % 27.45/27.89 (define @t108 () (tptp.ifeq @t82 @t82 @t81 tptp.true)) % 27.45/27.89 (define @t109 () (= @t81 @t108)) % 27.45/27.89 (define @t110 () (tptp.ifeq @t82 tptp.true @t62 tptp.true)) % 27.45/27.89 (define @t111 () (tptp.ifeq @t74 tptp.true @t110 tptp.true)) % 27.45/27.89 (define @t112 () (tptp.ifeq @t74 tptp.true @t111 tptp.true)) % 27.45/27.89 (define @t113 () (tptp.ifeq @t81 tptp.true @t112 tptp.true)) % 27.45/27.89 (define @t114 () (= tptp.true @t113)) % 27.45/27.89 (define @t115 () (= @t62 (tptp.ifeq @t82 @t82 @t62 tptp.true))) % 27.45/27.89 (define @t116 () (= tptp.true @t62)) % 27.45/27.89 (define @t117 () (and @t88 @t89 @t90 @t91 @t92 @t93 @t94 @t95 @t97 @t98 @t99 @t100 @t101 @t103 @t105 @t107 @t109 @t114 @t115)) % 27.45/27.89 (assume @p1 (forall @t4 (= (tptp.ifeq2 @t3 @t3 @t1 @t2) @t1))) % 27.45/27.89 (assume @p2 @t6) % 27.45/27.89 (assume @p3 @t11) % 27.45/27.89 (assume @p4 @t13) % 27.45/27.89 (assume @p5 (forall @t15 (= (tptp.ifeq (tptp.sum @t8 @t7 @t14) tptp.true (tptp.sum @t7 @t8 @t14) tptp.true) tptp.true))) % 27.45/27.89 (assume @p6 (forall @t15 (= (tptp.ifeq (tptp.product @t8 @t7 @t14) tptp.true (tptp.product @t7 @t8 @t14) tptp.true) tptp.true))) % 27.45/27.89 (assume @p7 @t18) % 27.45/27.89 (assume @p8 @t20) % 27.45/27.89 (assume @p9 (forall @t17 (= (tptp.product tptp.multiplicative_identity @t8 @t8) tptp.true))) % 27.45/27.89 (assume @p10 @t22) % 27.45/27.89 (assume @p11 @t34) % 27.45/27.89 (assume @p12 (forall (@list @t8 @t14 @t24 @t7 @t25 @t23 @t27) (= (tptp.ifeq @t31 tptp.true (tptp.ifeq @t30 tptp.true (tptp.ifeq @t26 tptp.true (tptp.ifeq @t28 tptp.true @t32 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 27.45/27.89 (assume @p13 @t39) % 27.45/27.89 (assume @p14 (forall (@list @t14 @t8 @t24 @t7 @t25 @t23 @t27) (= (tptp.ifeq @t36 tptp.true (tptp.ifeq @t35 tptp.true (tptp.ifeq @t26 tptp.true (tptp.ifeq @t28 tptp.true @t37 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 27.45/27.89 (assume @p15 @t47) % 27.45/27.89 (assume @p16 (forall @t48 (= (tptp.ifeq @t40 tptp.true (tptp.ifeq @t44 tptp.true (tptp.ifeq @t42 tptp.true (tptp.ifeq @t41 tptp.true @t43 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 27.45/27.89 (assume @p17 (forall @t46 (= (tptp.ifeq @t44 tptp.true (tptp.ifeq @t51 tptp.true (tptp.ifeq @t50 tptp.true (tptp.ifeq @t49 tptp.true @t40 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 27.45/27.89 (assume @p18 (forall @t48 (= (tptp.ifeq @t40 tptp.true (tptp.ifeq @t44 tptp.true (tptp.ifeq @t50 tptp.true (tptp.ifeq @t49 tptp.true @t51 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 27.45/27.89 (assume @p19 @t54) % 27.45/27.89 (assume @p20 @t56) % 27.45/27.89 (assume @p21 (forall @t17 (= (tptp.product @t52 @t8 tptp.additive_identity) tptp.true))) % 27.45/27.89 (assume @p22 @t58) % 27.45/27.89 (assume @p23 (forall @t61 (= (tptp.ifeq2 (tptp.sum @t8 @t7 @t59) tptp.true (tptp.ifeq2 (tptp.sum @t8 @t7 @t60) tptp.true @t60 @t59) @t59) @t59))) % 27.45/27.89 (assume @p24 (forall @t61 (= (tptp.ifeq2 (tptp.product @t8 @t7 @t59) tptp.true (tptp.ifeq2 (tptp.product @t8 @t7 @t60) tptp.true @t60 @t59) @t59) @t59))) % 27.45/27.89 (assume @p25 (not (= @t62 tptp.true))) % 27.45/27.89 (step @p26 :rule symm :premises (@p25)) % 27.45/27.89 (step @p27 :rule eq-symm :args (@t9 tptp.true)) % 27.45/27.89 (step @p28 :rule cong :premises (@p27) :args (@t11)) % 27.45/27.89 (step @p29 :rule eq_resolve :premises (@p3 @p28)) % 27.45/27.89 (step @p30 :rule instantiate :premises (@p29) :args (@t63)) % 27.45/27.89 (step @p31 :rule eq-symm :args (@t16 tptp.true)) % 27.45/27.89 (step @p32 :rule cong :premises (@p31) :args (@t18)) % 27.45/27.89 (step @p33 :rule eq_resolve :premises (@p7 @p32)) % 27.45/27.89 (step @p34 :rule instantiate :premises (@p33) :args (@t64)) % 27.45/27.89 (step @p35 :rule eq-symm :args (@t19 tptp.true)) % 27.45/27.89 (step @p36 :rule cong :premises (@p35) :args (@t20)) % 27.45/27.89 (step @p37 :rule eq_resolve :premises (@p8 @p36)) % 27.45/27.89 (step @p38 :rule instantiate :premises (@p37) :args (@t64)) % 27.45/27.89 (step @p39 :rule eq-symm :args (@t21 tptp.true)) % 27.45/27.89 (step @p40 :rule cong :premises (@p39) :args (@t22)) % 27.45/27.89 (step @p41 :rule eq_resolve :premises (@p10 @p40)) % 27.45/27.89 (step @p42 :rule instantiate :premises (@p41) :args (@t64)) % 27.45/27.89 (step @p43 :rule eq-symm :args (@t53 tptp.true)) % 27.45/27.89 (step @p44 :rule cong :premises (@p43) :args (@t54)) % 27.45/27.89 (step @p45 :rule eq_resolve :premises (@p19 @p44)) % 27.45/27.89 (step @p46 :rule instantiate :premises (@p45) :args (@t64)) % 27.45/27.89 (step @p47 :rule eq-symm :args (@t55 tptp.true)) % 27.45/27.89 (step @p48 :rule cong :premises (@p47) :args (@t56)) % 27.45/27.89 (step @p49 :rule eq_resolve :premises (@p20 @p48)) % 27.45/27.89 (step @p50 :rule instantiate :premises (@p49) :args (@t64)) % 27.45/27.89 (step @p51 :rule eq-symm :args (@t57 tptp.true)) % 27.45/27.89 (step @p52 :rule cong :premises (@p51) :args (@t58)) % 27.45/27.89 (step @p53 :rule eq_resolve :premises (@p22 @p52)) % 27.45/27.89 (step @p54 :rule instantiate :premises (@p53) :args (@t64)) % 27.45/27.89 (step @p55 :rule eq-symm :args (@t12 tptp.true)) % 27.45/27.89 (step @p56 :rule cong :premises (@p55) :args (@t13)) % 27.45/27.89 (step @p57 :rule eq_resolve :premises (@p4 @p56)) % 27.45/27.89 (step @p58 :rule instantiate :premises (@p57) :args (@t63)) % 27.45/27.89 (step @p59 :rule eq-symm :args (@t33 tptp.true)) % 27.45/27.89 (step @p60 :rule cong :premises (@p59) :args (@t34)) % 27.45/27.89 (step @p61 :rule eq_resolve :premises (@p11 @p60)) % 27.45/27.89 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.x tptp.multiplicative_identity tptp.x tptp.x @t66 @t65 tptp.additive_identity))) % 27.45/27.89 (step @p63 :rule eq-symm :args (@t5 @t1)) % 27.45/27.89 (step @p64 :rule cong :premises (@p63) :args (@t6)) % 27.45/27.89 (step @p65 :rule eq_resolve :premises (@p2 @p64)) % 27.45/27.89 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t74 @t73 tptp.true))) % 27.45/27.89 (step @p67 :rule instantiate :premises (@p65) :args ((@list @t68 @t67 tptp.true))) % 27.45/27.89 (step @p68 :rule eq-symm :args (@t45 tptp.true)) % 27.45/27.89 (step @p69 :rule cong :premises (@p68) :args (@t47)) % 27.45/27.89 (step @p70 :rule eq_resolve :premises (@p15 @p69)) % 27.45/27.89 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.x tptp.x @t66 tptp.additive_identity tptp.x tptp.x tptp.x))) % 27.45/27.89 (step @p72 :rule instantiate :premises (@p70) :args ((@list tptp.x @t65 tptp.additive_identity tptp.x tptp.x tptp.multiplicative_identity @t75))) % 27.45/27.89 (step @p73 :rule instantiate :premises (@p65) :args ((@list @t72 @t80 tptp.true))) % 27.45/27.89 (step @p74 :rule instantiate :premises (@p65) :args ((@list @t70 @t87 tptp.true))) % 27.45/27.89 (step @p75 :rule instantiate :premises (@p65) :args ((@list @t77 @t76 tptp.true))) % 27.45/27.89 (step @p76 :rule instantiate :premises (@p65) :args ((@list @t82 @t81 tptp.true))) % 27.45/27.89 (step @p77 :rule eq-symm :args (@t38 tptp.true)) % 27.45/27.89 (step @p78 :rule cong :premises (@p77) :args (@t39)) % 27.45/27.89 (step @p79 :rule eq_resolve :premises (@p13 @p78)) % 27.45/27.89 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t75 tptp.multiplicative_identity tptp.x tptp.x tptp.x tptp.x tptp.x))) % 27.45/27.89 (step @p81 :rule instantiate :premises (@p65) :args ((@list @t82 @t62 tptp.true))) % 27.45/27.89 (assume-push @p215 @t88) % 27.45/27.89 (assume-push @p216 @t89) % 27.45/27.89 (assume-push @p217 @t90) % 27.45/27.89 (assume-push @p218 @t91) % 27.45/27.89 (assume-push @p219 @t92) % 27.45/27.89 (assume-push @p220 @t93) % 27.45/27.89 (assume-push @p221 @t94) % 27.45/27.89 (assume-push @p222 @t95) % 27.45/27.89 (assume-push @p223 @t97) % 27.45/27.89 (assume-push @p224 @t98) % 27.45/27.89 (assume-push @p225 @t99) % 27.45/27.89 (assume-push @p226 @t100) % 27.45/27.89 (assume-push @p227 @t101) % 27.45/27.89 (assume-push @p228 @t103) % 27.45/27.89 (assume-push @p229 @t105) % 27.45/27.89 (assume-push @p230 @t107) % 27.45/27.89 (assume-push @p231 @t109) % 27.45/27.89 (assume-push @p232 @t114) % 27.45/27.89 (assume-push @p233 @t115) % 27.45/27.89 (step @p101 :rule symm :premises (@p81)) % 27.45/27.89 (step @p102 :rule refl :args (tptp.true)) % 27.45/27.89 (step @p103 :rule refl :args (@t62)) % 27.45/27.89 (step @p104 :rule refl :args (@t82)) % 27.45/27.89 (step @p105 :rule cong :premises (@p104 @p30 @p103 @p102) :args (@t110)) % 27.45/27.89 (step @p106 :rule trans :premises (@p105 @p101)) % 27.45/27.89 (step @p107 :rule symm :premises (@p42)) % 27.45/27.89 (step @p108 :rule trans :premises (@p107 @p30)) % 27.45/27.89 (step @p109 :rule cong :premises (@p108 @p30 @p106 @p102) :args (@t111)) % 27.45/27.89 (step @p110 :rule symm :premises (@p105)) % 27.45/27.89 (step @p111 :rule refl :args (@t110)) % 27.45/27.89 (step @p112 :rule symm :premises (@p71)) % 27.45/27.89 (step @p113 :rule refl :args (@t80)) % 27.45/27.89 (step @p114 :rule symm :premises (@p58)) % 27.45/27.89 (step @p115 :rule refl :args (@t72)) % 27.45/27.89 (step @p116 :rule cong :premises (@p115 @p114 @p113 @p102) :args (@t102)) % 27.45/27.89 (step @p117 :rule refl :args (@t79)) % 27.45/27.89 (step @p118 :rule symm :premises (@p67)) % 27.45/27.89 (step @p119 :rule refl :args (@t67)) % 27.45/27.89 (step @p120 :rule refl :args (@t68)) % 27.45/27.89 (step @p121 :rule cong :premises (@p120 @p46 @p119 @p102) :args (@t69)) % 27.45/27.89 (step @p122 :rule trans :premises (@p121 @p118)) % 27.45/27.89 (step @p123 :rule symm :premises (@p121)) % 27.45/27.89 (step @p124 :rule symm :premises (@p54)) % 27.45/27.89 (step @p125 :rule trans :premises (@p124 @p46)) % 27.45/27.89 (step @p126 :rule cong :premises (@p125 @p125 @p122 @p102) :args ((tptp.ifeq @t70 @t70 @t69 tptp.true))) % 27.45/27.89 (step @p127 :rule refl :args (@t69)) % 27.45/27.89 (step @p128 :rule refl :args (@t70)) % 27.45/27.89 (step @p129 :rule cong :premises (@p128 @p54 @p127 @p102) :args (@t71)) % 27.45/27.89 (step @p130 :rule trans :premises (@p129 @p126 @p123)) % 27.45/27.89 (step @p131 :rule trans :premises (@p130 @p122)) % 27.45/27.89 (step @p132 :rule trans :premises (@p114 @p46)) % 27.45/27.89 (step @p133 :rule cong :premises (@p132 @p132 @p131 @p102) :args ((tptp.ifeq @t72 @t72 @t71 tptp.true))) % 27.45/27.89 (step @p134 :rule refl :args (@t71)) % 27.45/27.89 (step @p135 :rule cong :premises (@p115 @p58 @p134 @p102) :args (@t73)) % 27.45/27.89 (step @p136 :rule symm :premises (@p66)) % 27.45/27.89 (step @p137 :rule refl :args (@t73)) % 27.45/27.89 (step @p138 :rule refl :args (@t74)) % 27.45/27.89 (step @p139 :rule cong :premises (@p138 @p42 @p137 @p102) :args (@t96)) % 27.45/27.89 (step @p140 :rule trans :premises (@p62 @p139 @p136 @p135 @p133 @p118)) % 27.45/27.89 (step @p141 :rule symm :premises (@p140)) % 27.45/27.89 (step @p142 :rule cong :premises (@p119 @p141 @p117 @p102) :args ((tptp.ifeq @t67 @t67 @t79 tptp.true))) % 27.45/27.89 (step @p143 :rule refl :args (@t78)) % 27.45/27.89 (step @p144 :rule symm :premises (@p34)) % 27.45/27.89 (step @p145 :rule refl :args (@t77)) % 27.45/27.89 (step @p146 :rule cong :premises (@p145 @p144 @p143 @p102) :args ((tptp.ifeq @t77 @t77 @t78 tptp.true))) % 27.45/27.89 (step @p147 :rule refl :args (@t76)) % 27.45/27.89 (step @p148 :rule cong :premises (@p145 @p144 @p147 @p102) :args (@t106)) % 27.45/27.89 (step @p149 :rule trans :premises (@p75 @p148)) % 27.45/27.89 (step @p150 :rule cong :premises (@p145 @p145 @p149 @p102) :args (@t106)) % 27.45/27.89 (step @p151 :rule symm :premises (@p148)) % 27.45/27.89 (step @p152 :rule trans :premises (@p151 @p150 @p146)) % 27.45/27.89 (step @p153 :rule trans :premises (@p149 @p152)) % 27.45/27.89 (step @p154 :rule trans :premises (@p144 @p140)) % 27.45/27.89 (step @p155 :rule cong :premises (@p154 @p154 @p153 @p102) :args (@t106)) % 27.45/27.89 (step @p156 :rule trans :premises (@p75 @p155 @p142 @p73 @p116 @p112)) % 27.45/27.89 (step @p157 :rule trans :premises (@p156 @p42)) % 27.45/27.89 (step @p158 :rule cong :premises (@p157 @p102 @p111 @p102) :args ((tptp.ifeq @t76 tptp.true @t110 tptp.true))) % 27.45/27.89 (step @p159 :rule trans :premises (@p158 @p109 @p110)) % 27.45/27.89 (step @p160 :rule symm :premises (@p158)) % 27.45/27.89 (step @p161 :rule trans :premises (@p160 @p159)) % 27.45/27.89 (step @p162 :rule cong :premises (@p138 @p102 @p161 @p102) :args (@t112)) % 27.45/27.89 (step @p163 :rule trans :premises (@p162 @p109 @p110)) % 27.45/27.89 (step @p164 :rule symm :premises (@p72)) % 27.45/27.89 (step @p165 :rule refl :args (@t87)) % 27.45/27.89 (step @p166 :rule cong :premises (@p128 @p124 @p165 @p102) :args (@t104)) % 27.45/27.89 (step @p167 :rule refl :args (@t85)) % 27.45/27.89 (step @p168 :rule symm :premises (@p38)) % 27.45/27.89 (step @p169 :rule refl :args (@t86)) % 27.45/27.89 (step @p170 :rule cong :premises (@p169 @p168 @p167 @p102) :args ((tptp.ifeq @t86 @t86 @t85 tptp.true))) % 27.45/27.89 (step @p171 :rule refl :args (@t83)) % 27.45/27.89 (step @p172 :rule symm :premises (@p50)) % 27.45/27.89 (step @p173 :rule refl :args (@t84)) % 27.45/27.89 (step @p174 :rule cong :premises (@p173 @p172 @p171 @p102) :args ((tptp.ifeq @t84 @t84 @t83 tptp.true))) % 27.45/27.89 (step @p175 :rule refl :args (@t81)) % 27.45/27.89 (step @p176 :rule symm :premises (@p30)) % 27.45/27.89 (step @p177 :rule cong :premises (@p104 @p176 @p175 @p102) :args (@t108)) % 27.45/27.89 (step @p178 :rule trans :premises (@p76 @p177)) % 27.45/27.89 (step @p179 :rule trans :premises (@p176 @p50)) % 27.45/27.89 (step @p180 :rule cong :premises (@p179 @p179 @p178 @p102) :args (@t108)) % 27.45/27.89 (step @p181 :rule symm :premises (@p177)) % 27.45/27.89 (step @p182 :rule trans :premises (@p181 @p180 @p174)) % 27.45/27.89 (step @p183 :rule trans :premises (@p178 @p182)) % 27.45/27.89 (step @p184 :rule trans :premises (@p176 @p38)) % 27.45/27.89 (step @p185 :rule cong :premises (@p184 @p184 @p183 @p102) :args (@t108)) % 27.45/27.89 (step @p186 :rule trans :premises (@p76 @p185 @p170 @p74 @p166 @p164)) % 27.45/27.89 (step @p187 :rule trans :premises (@p186 @p42)) % 27.45/27.89 (step @p188 :rule cong :premises (@p187 @p102 @p163 @p102) :args (@t113)) % 27.45/27.89 (step @p189 :rule trans :premises (@p80 @p188 @p109 @p101)) % 27.45/27.89 (step-pop @p234 :rule scope :premises (@p189)) % 27.45/27.89 (step-pop @p235 :rule scope :premises (@p234)) % 27.45/27.89 (step-pop @p236 :rule scope :premises (@p235)) % 27.45/27.89 (step-pop @p237 :rule scope :premises (@p236)) % 27.45/27.89 (step-pop @p238 :rule scope :premises (@p237)) % 27.45/27.89 (step-pop @p239 :rule scope :premises (@p238)) % 27.45/27.89 (step-pop @p240 :rule scope :premises (@p239)) % 27.45/27.89 (step-pop @p241 :rule scope :premises (@p240)) % 27.45/27.89 (step-pop @p242 :rule scope :premises (@p241)) % 27.45/27.89 (step-pop @p243 :rule scope :premises (@p242)) % 27.45/27.89 (step-pop @p244 :rule scope :premises (@p243)) % 27.45/27.89 (step-pop @p245 :rule scope :premises (@p244)) % 27.45/27.89 (step-pop @p246 :rule scope :premises (@p245)) % 27.45/27.89 (step-pop @p247 :rule scope :premises (@p246)) % 27.45/27.89 (step-pop @p248 :rule scope :premises (@p247)) % 27.45/27.89 (step-pop @p249 :rule scope :premises (@p248)) % 27.45/27.89 (step-pop @p250 :rule scope :premises (@p249)) % 27.45/27.89 (step-pop @p251 :rule scope :premises (@p250)) % 27.45/27.89 (step-pop @p252 :rule scope :premises (@p251)) % 27.45/27.89 (step @p190 :rule process_scope :premises (@p252) :args (@t116)) % 27.45/27.89 (step @p210 :rule implies_elim :premises (@p190)) % 27.45/27.89 (step @p211 :rule cnf_and_neg :args (@t117)) % 27.45/27.89 (step @p212 :rule resolution :premises (@p211 @p210) :args (true @t117)) % 27.45/27.89 (step @p213 :rule reordering :premises (@p212) :args ((or @t116 (not @t88) (not @t89) (not @t90) (not @t91) (not @t92) (not @t93) (not @t94) (not @t95) (not @t97) (not @t98) (not @t99) (not @t100) (not @t101) (not @t103) (not @t105) (not @t107) (not @t109) (not @t114) (not @t115)))) % 27.45/27.89 (step @p214 false :rule chain_m_resolution :premises (@p213 @p81 @p80 @p76 @p75 @p74 @p73 @p72 @p71 @p67 @p66 @p62 @p58 @p54 @p50 @p46 @p42 @p38 @p34 @p30 @p26) :args (false (@list false false false false false false false false false false false false false false false false false false false true) (@list @t115 @t114 @t109 @t107 @t105 @t103 @t101 @t100 @t99 @t98 @t97 @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t116))) % 27.45/27.89 ) % 27.45/27.89 % SZS output end Proof % 27.45/27.89 % cvc5 exiting %------------------------------------------------------------------------------