%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG001-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:45:18 AM UTC 2026 % Result : Unsatisfiable 167.28s 167.54s % Output : Proof 167.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG001-10 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 : Tue Jun 2 13:54:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.30/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 21.42/21.61 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.41/27.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.41/33.69 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.48/63.77 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.51/78.79 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.59/111.86 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.70/126.92 --- Run --prenex-quant=none --full-saturate-quant at 30... % 156.68/157.01 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 167.28/167.54 % SZS status Unsatisfiable % 167.28/167.54 % SZS output start Proof % 167.28/167.54 ( % 167.28/167.54 (declare-sort $$unsorted 0) % 167.28/167.54 (declare-const tptp.a $$unsorted) % 167.28/167.54 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 167.28/167.54 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 167.28/167.54 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 167.28/167.54 (declare-const tptp.additive_identity $$unsorted) % 167.28/167.54 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 167.28/167.54 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 167.28/167.54 (declare-const tptp.true $$unsorted) % 167.28/167.54 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 167.28/167.54 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 167.28/167.54 (define @t1 () (@var "B" $$unsorted)) % 167.28/167.54 (define @t2 () (@var "C" $$unsorted)) % 167.28/167.54 (define @t3 () (@var "A" $$unsorted)) % 167.28/167.54 (define @t4 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 167.28/167.54 (define @t5 () (@list @t3 @t1 @t2)) % 167.28/167.54 (define @t6 () (forall @t5 (= @t4 @t1))) % 167.28/167.54 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 167.28/167.54 (define @t8 () (forall @t5 (= @t7 @t1))) % 167.28/167.54 (define @t9 () (@var "X" $$unsorted)) % 167.28/167.54 (define @t10 () (tptp.sum tptp.additive_identity @t9 @t9)) % 167.28/167.54 (define @t11 () (@list @t9)) % 167.28/167.54 (define @t12 () (forall @t11 (= @t10 tptp.true))) % 167.28/167.54 (define @t13 () (tptp.sum @t9 tptp.additive_identity @t9)) % 167.28/167.54 (define @t14 () (forall @t11 (= @t13 tptp.true))) % 167.28/167.54 (define @t15 () (@var "Y" $$unsorted)) % 167.28/167.54 (define @t16 () (tptp.product @t9 @t15 (tptp.multiply @t9 @t15))) % 167.28/167.54 (define @t17 () (@list @t9 @t15)) % 167.28/167.54 (define @t18 () (forall @t17 (= @t16 tptp.true))) % 167.28/167.54 (define @t19 () (tptp.sum @t9 @t15 (tptp.add @t9 @t15))) % 167.28/167.54 (define @t20 () (forall @t17 (= @t19 tptp.true))) % 167.28/167.54 (define @t21 () (tptp.additive_inverse @t9)) % 167.28/167.54 (define @t22 () (@var "W" $$unsorted)) % 167.28/167.54 (define @t23 () (@var "V" $$unsorted)) % 167.28/167.54 (define @t24 () (tptp.sum @t9 @t23 @t22)) % 167.28/167.54 (define @t25 () (@var "U" $$unsorted)) % 167.28/167.54 (define @t26 () (tptp.sum @t9 @t15 @t25)) % 167.28/167.54 (define @t27 () (@var "Z" $$unsorted)) % 167.28/167.54 (define @t28 () (tptp.sum @t15 @t27 @t23)) % 167.28/167.54 (define @t29 () (tptp.sum @t25 @t27 @t22)) % 167.28/167.54 (define @t30 () (@list @t25 @t27 @t22 @t15 @t23 @t9)) % 167.28/167.54 (define @t31 () (@list @t15 @t27 @t23 @t9 @t22 @t25)) % 167.28/167.54 (define @t32 () (tptp.sum @t9 @t15 @t27)) % 167.28/167.54 (define @t33 () (tptp.ifeq @t32 tptp.true (tptp.sum @t15 @t9 @t27) tptp.true)) % 167.28/167.54 (define @t34 () (forall (@list @t9 @t15 @t27) (= @t33 tptp.true))) % 167.28/167.54 (define @t35 () (tptp.product @t9 @t23 @t22)) % 167.28/167.54 (define @t36 () (tptp.product @t9 @t15 @t25)) % 167.28/167.54 (define @t37 () (tptp.product @t15 @t27 @t23)) % 167.28/167.54 (define @t38 () (tptp.product @t25 @t27 @t22)) % 167.28/167.54 (define @t39 () (@var "V4" $$unsorted)) % 167.28/167.54 (define @t40 () (@var "V2" $$unsorted)) % 167.28/167.54 (define @t41 () (@var "V1" $$unsorted)) % 167.28/167.54 (define @t42 () (tptp.sum @t41 @t40 @t39)) % 167.28/167.54 (define @t43 () (@var "V3" $$unsorted)) % 167.28/167.54 (define @t44 () (tptp.sum @t15 @t27 @t43)) % 167.28/167.54 (define @t45 () (tptp.ifeq @t44 tptp.true @t42 tptp.true)) % 167.28/167.54 (define @t46 () (tptp.product @t9 @t15 @t41)) % 167.28/167.54 (define @t47 () (tptp.product @t9 @t27 @t40)) % 167.28/167.54 (define @t48 () (tptp.product @t9 @t43 @t39)) % 167.28/167.54 (define @t49 () (tptp.ifeq @t48 tptp.true (tptp.ifeq @t47 tptp.true (tptp.ifeq @t46 tptp.true @t45 tptp.true) tptp.true) tptp.true)) % 167.28/167.54 (define @t50 () (forall (@list @t9 @t43 @t39 @t27 @t40 @t15 @t41) (= @t49 tptp.true))) % 167.28/167.54 (define @t51 () (tptp.product @t15 @t9 @t41)) % 167.28/167.54 (define @t52 () (tptp.product @t27 @t9 @t40)) % 167.28/167.54 (define @t53 () (tptp.product @t43 @t9 @t39)) % 167.28/167.54 (define @t54 () (tptp.ifeq2 (tptp.sum @t9 @t15 @t23) tptp.true (tptp.ifeq2 @t26 tptp.true @t25 @t23) @t23)) % 167.28/167.54 (define @t55 () (@list @t9 @t15 @t23 @t25)) % 167.28/167.54 (define @t56 () (forall @t55 (= @t54 @t23))) % 167.28/167.54 (define @t57 () (tptp.ifeq2 (tptp.sum @t22 @t15 @t27) tptp.true (tptp.ifeq2 @t32 tptp.true @t9 @t22) @t22)) % 167.28/167.54 (define @t58 () (forall (@list @t22 @t15 @t27 @t9) (= @t57 @t22))) % 167.28/167.54 (define @t59 () (tptp.product tptp.a tptp.additive_identity tptp.additive_identity)) % 167.28/167.54 (define @t60 () (@list tptp.a)) % 167.28/167.54 (define @t61 () (tptp.add tptp.additive_identity tptp.a)) % 167.28/167.54 (define @t62 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 167.28/167.54 (define @t63 () (@list @t62)) % 167.28/167.54 (define @t64 () (tptp.sum tptp.a tptp.additive_identity @t61)) % 167.28/167.54 (define @t65 () (tptp.sum tptp.additive_identity tptp.a @t61)) % 167.28/167.54 (define @t66 () (tptp.multiply tptp.a tptp.additive_identity)) % 167.28/167.54 (define @t67 () (tptp.sum @t62 @t62 @t62)) % 167.28/167.54 (define @t68 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 167.28/167.54 (define @t69 () (tptp.ifeq @t68 tptp.true @t67 tptp.true)) % 167.28/167.54 (define @t70 () (tptp.product tptp.additive_identity tptp.additive_identity @t62)) % 167.28/167.54 (define @t71 () (tptp.ifeq @t70 tptp.true @t69 tptp.true)) % 167.28/167.54 (define @t72 () (tptp.ifeq @t70 tptp.true @t71 tptp.true)) % 167.28/167.54 (define @t73 () (tptp.sum @t66 @t66 @t66)) % 167.28/167.54 (define @t74 () (tptp.ifeq @t68 tptp.true @t73 tptp.true)) % 167.28/167.54 (define @t75 () (tptp.product tptp.a tptp.additive_identity @t66)) % 167.28/167.54 (define @t76 () (tptp.ifeq @t75 tptp.true @t74 tptp.true)) % 167.28/167.54 (define @t77 () (tptp.ifeq @t75 tptp.true @t76 tptp.true)) % 167.28/167.54 (define @t78 () (tptp.ifeq2 @t67 tptp.true @t62 tptp.additive_identity)) % 167.28/167.54 (define @t79 () (tptp.sum tptp.additive_identity @t62 @t62)) % 167.28/167.54 (define @t80 () (tptp.sum tptp.additive_identity tptp.a tptp.a)) % 167.28/167.54 (define @t81 () (tptp.ifeq2 @t80 tptp.true tptp.a @t61)) % 167.28/167.54 (define @t82 () (tptp.sum @t62 tptp.additive_identity @t62)) % 167.28/167.54 (define @t83 () (= tptp.true @t68)) % 167.28/167.54 (define @t84 () (= tptp.true @t70)) % 167.28/167.54 (define @t85 () (= tptp.true @t80)) % 167.28/167.54 (define @t86 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 167.28/167.54 (define @t87 () (= tptp.true @t86)) % 167.28/167.54 (define @t88 () (= tptp.true @t65)) % 167.28/167.54 (define @t89 () (= tptp.true (tptp.ifeq @t65 tptp.true @t64 tptp.true))) % 167.28/167.54 (define @t90 () (= tptp.true @t79)) % 167.28/167.54 (define @t91 () (= tptp.true @t82)) % 167.28/167.54 (define @t92 () (= tptp.true @t75)) % 167.28/167.54 (define @t93 () (tptp.ifeq @t65 @t65 @t64 tptp.true)) % 167.28/167.54 (define @t94 () (= @t64 @t93)) % 167.28/167.54 (define @t95 () (tptp.ifeq @t70 tptp.true @t72 tptp.true)) % 167.28/167.54 (define @t96 () (= tptp.true @t95)) % 167.28/167.54 (define @t97 () (tptp.ifeq @t75 tptp.true @t77 tptp.true)) % 167.28/167.54 (define @t98 () (= tptp.true @t97)) % 167.28/167.54 (define @t99 () (= @t72 (tptp.ifeq @t70 @t70 @t72 tptp.true))) % 167.28/167.54 (define @t100 () (= @t77 (tptp.ifeq @t75 @t75 @t77 tptp.true))) % 167.28/167.54 (define @t101 () (= @t67 (tptp.ifeq @t68 @t68 @t67 tptp.true))) % 167.28/167.54 (define @t102 () (= @t73 (tptp.ifeq @t68 @t68 @t73 tptp.true))) % 167.28/167.54 (define @t103 () (tptp.ifeq2 @t65 tptp.true @t81 @t61)) % 167.28/167.54 (define @t104 () (= @t61 @t103)) % 167.28/167.54 (define @t105 () (= tptp.additive_identity (tptp.ifeq2 @t79 tptp.true @t78 tptp.additive_identity))) % 167.28/167.54 (define @t106 () (tptp.ifeq2 @t79 @t79 @t78 tptp.additive_identity)) % 167.28/167.54 (define @t107 () (= @t78 @t106)) % 167.28/167.54 (define @t108 () (= @t81 (tptp.ifeq2 @t65 @t65 @t81 @t61))) % 167.28/167.54 (define @t109 () (= tptp.a (tptp.ifeq2 @t80 @t80 tptp.a @t61))) % 167.28/167.54 (define @t110 () (tptp.ifeq2 @t82 @t82 @t62 tptp.additive_identity)) % 167.28/167.54 (define @t111 () (= @t62 @t110)) % 167.28/167.54 (define @t112 () (tptp.ifeq2 @t75 @t75 @t66 @t62)) % 167.28/167.54 (define @t113 () (= @t66 @t112)) % 167.28/167.54 (define @t114 () (= @t62 (tptp.ifeq2 (tptp.sum @t62 @t66 @t66) tptp.true (tptp.ifeq2 @t73 tptp.true @t66 @t62) @t62))) % 167.28/167.54 (define @t115 () (tptp.sum tptp.additive_identity @t66 @t66)) % 167.28/167.54 (define @t116 () (= tptp.true @t115)) % 167.28/167.54 (define @t117 () (tptp.ifeq2 @t86 tptp.true tptp.a @t61)) % 167.28/167.54 (define @t118 () (= tptp.true @t59)) % 167.28/167.54 (define @t119 () (and @t83 @t84 @t85 @t87 @t88 @t89 @t90 @t91 @t92 @t94 @t96 @t98 @t99 @t100 @t101 @t102 @t104 @t105 @t107 @t108 @t109 @t111 @t113 @t114 @t116)) % 167.28/167.54 (assume @p1 @t6) % 167.28/167.54 (assume @p2 @t8) % 167.28/167.54 (assume @p3 @t12) % 167.28/167.54 (assume @p4 @t14) % 167.28/167.54 (assume @p5 @t18) % 167.28/167.54 (assume @p6 @t20) % 167.28/167.54 (assume @p7 (forall @t11 (= (tptp.sum @t21 @t9 tptp.additive_identity) tptp.true))) % 167.28/167.54 (assume @p8 (forall @t11 (= (tptp.sum @t9 @t21 tptp.additive_identity) tptp.true))) % 167.28/167.54 (assume @p9 (forall @t30 (= (tptp.ifeq @t29 tptp.true (tptp.ifeq @t28 tptp.true (tptp.ifeq @t26 tptp.true @t24 tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p10 (forall @t31 (= (tptp.ifeq @t28 tptp.true (tptp.ifeq @t24 tptp.true (tptp.ifeq @t26 tptp.true @t29 tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p11 @t34) % 167.28/167.54 (assume @p12 (forall @t30 (= (tptp.ifeq @t38 tptp.true (tptp.ifeq @t37 tptp.true (tptp.ifeq @t36 tptp.true @t35 tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p13 (forall @t31 (= (tptp.ifeq @t37 tptp.true (tptp.ifeq @t35 tptp.true (tptp.ifeq @t36 tptp.true @t38 tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p14 @t50) % 167.28/167.54 (assume @p15 (forall (@list @t9 @t27 @t40 @t15 @t41 @t39 @t43) (= (tptp.ifeq @t47 tptp.true (tptp.ifeq @t46 tptp.true (tptp.ifeq @t42 tptp.true (tptp.ifeq @t44 tptp.true @t48 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p16 (forall (@list @t43 @t9 @t39 @t27 @t40 @t15 @t41) (= (tptp.ifeq @t53 tptp.true (tptp.ifeq @t52 tptp.true (tptp.ifeq @t51 tptp.true @t45 tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p17 (forall (@list @t27 @t9 @t40 @t15 @t41 @t39 @t43) (= (tptp.ifeq @t52 tptp.true (tptp.ifeq @t51 tptp.true (tptp.ifeq @t42 tptp.true (tptp.ifeq @t44 tptp.true @t53 tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 167.28/167.54 (assume @p18 @t56) % 167.28/167.54 (assume @p19 (forall @t55 (= (tptp.ifeq2 (tptp.product @t9 @t15 @t23) tptp.true (tptp.ifeq2 @t36 tptp.true @t25 @t23) @t23) @t23))) % 167.28/167.54 (assume @p20 (forall (@list @t9 @t22 @t27 @t15) (= (tptp.ifeq2 (tptp.sum @t9 @t22 @t27) tptp.true (tptp.ifeq2 @t32 tptp.true @t15 @t22) @t22) @t22))) % 167.28/167.54 (assume @p21 @t58) % 167.28/167.54 (assume @p22 (not (= @t59 tptp.true))) % 167.28/167.54 (step @p23 :rule symm :premises (@p22)) % 167.28/167.54 (step @p24 :rule eq-symm :args (@t10 tptp.true)) % 167.28/167.54 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 167.28/167.54 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 167.28/167.54 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.additive_identity))) % 167.28/167.54 (step @p28 :rule eq-symm :args (@t16 tptp.true)) % 167.28/167.54 (step @p29 :rule cong :premises (@p28) :args (@t18)) % 167.28/167.54 (step @p30 :rule eq_resolve :premises (@p5 @p29)) % 167.28/167.54 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.additive_identity tptp.additive_identity))) % 167.28/167.54 (step @p32 :rule instantiate :premises (@p26) :args (@t60)) % 167.28/167.54 (step @p33 :rule eq-symm :args (@t13 tptp.true)) % 167.28/167.54 (step @p34 :rule cong :premises (@p33) :args (@t14)) % 167.28/167.54 (step @p35 :rule eq_resolve :premises (@p4 @p34)) % 167.28/167.54 (step @p36 :rule instantiate :premises (@p35) :args (@t60)) % 167.28/167.54 (step @p37 :rule eq-symm :args (@t19 tptp.true)) % 167.28/167.54 (step @p38 :rule cong :premises (@p37) :args (@t20)) % 167.28/167.54 (step @p39 :rule eq_resolve :premises (@p6 @p38)) % 167.28/167.54 (step @p40 :rule instantiate :premises (@p39) :args ((@list tptp.additive_identity tptp.a))) % 167.28/167.54 (step @p41 :rule eq-symm :args (@t33 tptp.true)) % 167.28/167.54 (step @p42 :rule cong :premises (@p41) :args (@t34)) % 167.28/167.54 (step @p43 :rule eq_resolve :premises (@p11 @p42)) % 167.28/167.54 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.additive_identity tptp.a @t61))) % 167.28/167.54 (step @p45 :rule instantiate :premises (@p26) :args (@t63)) % 167.28/167.54 (step @p46 :rule instantiate :premises (@p35) :args (@t63)) % 167.28/167.54 (step @p47 :rule instantiate :premises (@p30) :args ((@list tptp.a tptp.additive_identity))) % 167.28/167.54 (step @p48 :rule eq-symm :args (@t7 @t1)) % 167.28/167.54 (step @p49 :rule cong :premises (@p48) :args (@t8)) % 167.28/167.54 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 167.28/167.54 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t65 @t64 tptp.true))) % 167.28/167.54 (step @p52 :rule eq-symm :args (@t49 tptp.true)) % 167.28/167.54 (step @p53 :rule cong :premises (@p52) :args (@t50)) % 167.28/167.54 (step @p54 :rule eq_resolve :premises (@p14 @p53)) % 167.28/167.54 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.additive_identity tptp.additive_identity @t62 tptp.additive_identity @t62 tptp.additive_identity @t62))) % 167.28/167.54 (step @p56 :rule instantiate :premises (@p54) :args ((@list tptp.a tptp.additive_identity @t66 tptp.additive_identity @t66 tptp.additive_identity @t66))) % 167.28/167.54 (step @p57 :rule instantiate :premises (@p50) :args ((@list @t70 @t72 tptp.true))) % 167.28/167.54 (step @p58 :rule instantiate :premises (@p50) :args ((@list @t75 @t77 tptp.true))) % 167.28/167.54 (step @p59 :rule instantiate :premises (@p50) :args ((@list @t68 @t67 tptp.true))) % 167.28/167.54 (step @p60 :rule instantiate :premises (@p50) :args ((@list @t68 @t73 tptp.true))) % 167.28/167.54 (step @p61 :rule eq-symm :args (@t54 @t23)) % 167.28/167.54 (step @p62 :rule cong :premises (@p61) :args (@t56)) % 167.28/167.54 (step @p63 :rule eq_resolve :premises (@p18 @p62)) % 167.28/167.54 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.additive_identity tptp.a @t61 tptp.a))) % 167.28/167.54 (step @p65 :rule eq-symm :args (@t57 @t22)) % 167.28/167.54 (step @p66 :rule cong :premises (@p65) :args (@t58)) % 167.28/167.54 (step @p67 :rule eq_resolve :premises (@p21 @p66)) % 167.28/167.54 (step @p68 :rule instantiate :premises (@p67) :args ((@list tptp.additive_identity @t62 @t62 @t62))) % 167.28/167.54 (step @p69 :rule eq-symm :args (@t4 @t1)) % 167.28/167.54 (step @p70 :rule cong :premises (@p69) :args (@t6)) % 167.28/167.54 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 167.28/167.54 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t79 @t78 tptp.additive_identity))) % 167.28/167.54 (step @p73 :rule instantiate :premises (@p71) :args ((@list @t65 @t81 @t61))) % 167.28/167.54 (step @p74 :rule instantiate :premises (@p71) :args ((@list @t80 tptp.a @t61))) % 167.28/167.54 (step @p75 :rule instantiate :premises (@p71) :args ((@list @t82 @t62 tptp.additive_identity))) % 167.28/167.54 (step @p76 :rule instantiate :premises (@p71) :args ((@list @t75 @t66 @t62))) % 167.28/167.54 (step @p77 :rule instantiate :premises (@p67) :args ((@list @t62 @t66 @t66 @t66))) % 167.28/167.54 (step @p78 :rule instantiate :premises (@p26) :args ((@list @t66))) % 167.28/167.54 (assume-push @p233 @t83) % 167.28/167.54 (assume-push @p234 @t84) % 167.28/167.54 (assume-push @p235 @t85) % 167.28/167.54 (assume-push @p236 @t87) % 167.28/167.54 (assume-push @p237 @t88) % 167.28/167.54 (assume-push @p238 @t89) % 167.28/167.54 (assume-push @p239 @t90) % 167.28/167.54 (assume-push @p240 @t91) % 167.28/167.54 (assume-push @p241 @t92) % 167.28/167.54 (assume-push @p242 @t94) % 167.28/167.54 (assume-push @p243 @t96) % 167.28/167.54 (assume-push @p244 @t98) % 167.28/167.54 (assume-push @p245 @t99) % 167.28/167.54 (assume-push @p246 @t100) % 167.28/167.54 (assume-push @p247 @t101) % 167.28/167.54 (assume-push @p248 @t102) % 167.28/167.54 (assume-push @p249 @t104) % 167.28/167.54 (assume-push @p250 @t105) % 167.28/167.54 (assume-push @p251 @t107) % 167.28/167.54 (assume-push @p252 @t108) % 167.28/167.54 (assume-push @p253 @t109) % 167.28/167.54 (assume-push @p254 @t111) % 167.28/167.54 (assume-push @p255 @t113) % 167.28/167.54 (assume-push @p256 @t114) % 167.28/167.54 (assume-push @p257 @t116) % 167.28/167.54 (step @p104 :rule symm :premises (@p68)) % 167.28/167.54 (step @p105 :rule refl :args (tptp.additive_identity)) % 167.28/167.54 (step @p106 :rule refl :args (@t78)) % 167.28/167.54 (step @p107 :rule refl :args (tptp.true)) % 167.28/167.54 (step @p108 :rule symm :premises (@p46)) % 167.28/167.54 (step @p109 :rule trans :premises (@p108 @p45)) % 167.28/167.54 (step @p110 :rule cong :premises (@p109 @p107 @p106 @p105) :args ((tptp.ifeq2 @t82 tptp.true @t78 tptp.additive_identity))) % 167.28/167.54 (step @p111 :rule symm :premises (@p45)) % 167.28/167.54 (step @p112 :rule symm :premises (@p109)) % 167.28/167.54 (step @p113 :rule cong :premises (@p112 @p111 @p106 @p105) :args (@t106)) % 167.28/167.54 (step @p114 :rule refl :args (@t62)) % 167.28/167.54 (step @p115 :rule symm :premises (@p59)) % 167.28/167.54 (step @p116 :rule refl :args (@t67)) % 167.28/167.54 (step @p117 :rule refl :args (@t68)) % 167.28/167.54 (step @p118 :rule cong :premises (@p117 @p27 @p116 @p107) :args (@t69)) % 167.28/167.54 (step @p119 :rule trans :premises (@p118 @p115)) % 167.28/167.54 (step @p120 :rule symm :premises (@p118)) % 167.28/167.54 (step @p121 :rule symm :premises (@p31)) % 167.28/167.54 (step @p122 :rule trans :premises (@p121 @p27)) % 167.28/167.54 (step @p123 :rule cong :premises (@p122 @p122 @p119 @p107) :args ((tptp.ifeq @t70 @t70 @t69 tptp.true))) % 167.28/167.54 (step @p124 :rule refl :args (@t69)) % 167.28/167.54 (step @p125 :rule refl :args (@t70)) % 167.28/167.54 (step @p126 :rule cong :premises (@p125 @p31 @p124 @p107) :args (@t71)) % 167.28/167.54 (step @p127 :rule trans :premises (@p126 @p123 @p120)) % 167.28/167.54 (step @p128 :rule trans :premises (@p127 @p119)) % 167.28/167.54 (step @p129 :rule cong :premises (@p122 @p122 @p128 @p107) :args ((tptp.ifeq @t70 @t70 @t71 tptp.true))) % 167.28/167.54 (step @p130 :rule refl :args (@t71)) % 167.28/167.54 (step @p131 :rule cong :premises (@p125 @p31 @p130 @p107) :args (@t72)) % 167.28/167.54 (step @p132 :rule symm :premises (@p57)) % 167.28/167.54 (step @p133 :rule refl :args (@t72)) % 167.28/167.54 (step @p134 :rule cong :premises (@p125 @p31 @p133 @p107) :args (@t95)) % 167.28/167.54 (step @p135 :rule trans :premises (@p55 @p134 @p132 @p131 @p129 @p115)) % 167.28/167.54 (step @p136 :rule trans :premises (@p108 @p135)) % 167.28/167.54 (step @p137 :rule cong :premises (@p136 @p107 @p114 @p105) :args ((tptp.ifeq2 @t82 tptp.true @t62 tptp.additive_identity))) % 167.28/167.54 (step @p138 :rule refl :args (@t82)) % 167.28/167.54 (step @p139 :rule cong :premises (@p138 @p108 @p114 @p105) :args (@t110)) % 167.28/167.54 (step @p140 :rule symm :premises (@p77)) % 167.28/167.54 (step @p141 :rule refl :args (@t66)) % 167.28/167.54 (step @p142 :rule symm :premises (@p47)) % 167.28/167.54 (step @p143 :rule symm :premises (@p60)) % 167.28/167.54 (step @p144 :rule refl :args (@t73)) % 167.28/167.54 (step @p145 :rule cong :premises (@p117 @p27 @p144 @p107) :args (@t74)) % 167.28/167.54 (step @p146 :rule trans :premises (@p145 @p143)) % 167.28/167.54 (step @p147 :rule symm :premises (@p145)) % 167.28/167.54 (step @p148 :rule trans :premises (@p142 @p27)) % 167.28/167.54 (step @p149 :rule cong :premises (@p148 @p148 @p146 @p107) :args ((tptp.ifeq @t75 @t75 @t74 tptp.true))) % 167.28/167.54 (step @p150 :rule refl :args (@t74)) % 167.28/167.54 (step @p151 :rule refl :args (@t75)) % 167.28/167.54 (step @p152 :rule cong :premises (@p151 @p47 @p150 @p107) :args (@t76)) % 167.28/167.54 (step @p153 :rule trans :premises (@p152 @p149 @p147)) % 167.28/167.54 (step @p154 :rule trans :premises (@p153 @p146)) % 167.28/167.54 (step @p155 :rule cong :premises (@p148 @p148 @p154 @p107) :args ((tptp.ifeq @t75 @t75 @t76 tptp.true))) % 167.28/167.54 (step @p156 :rule refl :args (@t76)) % 167.28/167.54 (step @p157 :rule cong :premises (@p151 @p47 @p156 @p107) :args (@t77)) % 167.28/167.54 (step @p158 :rule symm :premises (@p58)) % 167.28/167.54 (step @p159 :rule refl :args (@t77)) % 167.28/167.54 (step @p160 :rule cong :premises (@p151 @p47 @p159 @p107) :args (@t97)) % 167.28/167.54 (step @p161 :rule trans :premises (@p56 @p160 @p158 @p157 @p155 @p143)) % 167.28/167.54 (step @p162 :rule trans :premises (@p142 @p161)) % 167.28/167.54 (step @p163 :rule cong :premises (@p162 @p142 @p141 @p114) :args (@t112)) % 167.28/167.54 (step @p164 :rule trans :premises (@p76 @p163)) % 167.28/167.54 (step @p165 :rule symm :premises (@p75)) % 167.28/167.54 (step @p166 :rule symm :premises (@p139)) % 167.28/167.54 (step @p167 :rule symm :premises (@p137)) % 167.28/167.54 (step @p168 :rule symm :premises (@p72)) % 167.28/167.54 (step @p169 :rule symm :premises (@p113)) % 167.28/167.54 (step @p170 :rule symm :premises (@p110)) % 167.28/167.54 (step @p171 :rule trans :premises (@p68 @p170 @p169 @p168 @p167 @p166 @p165)) % 167.28/167.54 (step @p172 :rule cong :premises (@p171 @p141 @p141) :args (@t115)) % 167.28/167.54 (step @p173 :rule trans :premises (@p78 @p172)) % 167.28/167.54 (step @p174 :rule trans :premises (@p142 @p173)) % 167.28/167.54 (step @p175 :rule cong :premises (@p174 @p142 @p164 @p114) :args (@t112)) % 167.28/167.54 (step @p176 :rule trans :premises (@p76 @p175 @p140 @p75 @p139 @p137 @p72 @p113 @p110 @p104)) % 167.28/167.54 (step @p177 :rule symm :premises (@p74)) % 167.28/167.54 (step @p178 :rule refl :args (@t61)) % 167.28/167.54 (step @p179 :rule refl :args (tptp.a)) % 167.28/167.54 (step @p180 :rule refl :args (@t80)) % 167.28/167.54 (step @p181 :rule cong :premises (@p180 @p32 @p179 @p178) :args (@t81)) % 167.28/167.54 (step @p182 :rule symm :premises (@p73)) % 167.28/167.54 (step @p183 :rule symm :premises (@p36)) % 167.28/167.54 (step @p184 :rule trans :premises (@p183 @p32)) % 167.28/167.54 (step @p185 :rule cong :premises (@p184 @p107 @p179 @p178) :args (@t117)) % 167.28/167.54 (step @p186 :rule symm :premises (@p44)) % 167.28/167.54 (step @p187 :rule refl :args (@t64)) % 167.28/167.54 (step @p188 :rule symm :premises (@p40)) % 167.28/167.54 (step @p189 :rule refl :args (@t65)) % 167.28/167.54 (step @p190 :rule cong :premises (@p189 @p188 @p187 @p107) :args (@t93)) % 167.28/167.54 (step @p191 :rule trans :premises (@p51 @p190 @p186)) % 167.28/167.54 (step @p192 :rule trans :premises (@p191 @p40)) % 167.28/167.54 (step @p193 :rule cong :premises (@p192 @p40 @p185 @p178) :args ((tptp.ifeq2 @t64 tptp.true @t117 @t61))) % 167.28/167.54 (step @p194 :rule symm :premises (@p185)) % 167.28/167.54 (step @p195 :rule symm :premises (@p192)) % 167.28/167.54 (step @p196 :rule cong :premises (@p195 @p107 @p194 @p178) :args (@t103)) % 167.28/167.54 (step @p197 :rule trans :premises (@p64 @p196 @p193 @p182 @p181 @p177)) % 167.28/167.54 (step @p198 :rule cong :premises (@p197 @p105 @p176) :args ((tptp.product @t61 tptp.additive_identity @t66))) % 167.28/167.54 (step @p199 :rule symm :premises (@p197)) % 167.28/167.54 (step @p200 :rule cong :premises (@p199 @p105 @p141) :args (@t75)) % 167.28/167.54 (step @p201 :rule trans :premises (@p47 @p200 @p198)) % 167.28/167.54 (step-pop @p258 :rule scope :premises (@p201)) % 167.28/167.54 (step-pop @p259 :rule scope :premises (@p258)) % 167.28/167.54 (step-pop @p260 :rule scope :premises (@p259)) % 167.28/167.54 (step-pop @p261 :rule scope :premises (@p260)) % 167.28/167.54 (step-pop @p262 :rule scope :premises (@p261)) % 167.28/167.54 (step-pop @p263 :rule scope :premises (@p262)) % 167.28/167.54 (step-pop @p264 :rule scope :premises (@p263)) % 167.28/167.54 (step-pop @p265 :rule scope :premises (@p264)) % 167.28/167.54 (step-pop @p266 :rule scope :premises (@p265)) % 167.28/167.54 (step-pop @p267 :rule scope :premises (@p266)) % 167.28/167.54 (step-pop @p268 :rule scope :premises (@p267)) % 167.28/167.54 (step-pop @p269 :rule scope :premises (@p268)) % 167.28/167.54 (step-pop @p270 :rule scope :premises (@p269)) % 167.28/167.54 (step-pop @p271 :rule scope :premises (@p270)) % 167.28/167.54 (step-pop @p272 :rule scope :premises (@p271)) % 167.28/167.54 (step-pop @p273 :rule scope :premises (@p272)) % 167.28/167.54 (step-pop @p274 :rule scope :premises (@p273)) % 167.28/167.54 (step-pop @p275 :rule scope :premises (@p274)) % 167.28/167.54 (step-pop @p276 :rule scope :premises (@p275)) % 167.28/167.54 (step-pop @p277 :rule scope :premises (@p276)) % 167.28/167.54 (step-pop @p278 :rule scope :premises (@p277)) % 167.28/167.54 (step-pop @p279 :rule scope :premises (@p278)) % 167.28/167.54 (step-pop @p280 :rule scope :premises (@p279)) % 167.28/167.54 (step-pop @p281 :rule scope :premises (@p280)) % 167.28/167.54 (step-pop @p282 :rule scope :premises (@p281)) % 167.28/167.54 (step @p202 :rule process_scope :premises (@p282) :args (@t118)) % 167.28/167.54 (step @p228 :rule implies_elim :premises (@p202)) % 167.28/167.54 (step @p229 :rule cnf_and_neg :args (@t119)) % 167.28/167.54 (step @p230 :rule resolution :premises (@p229 @p228) :args (true @t119)) % 167.28/167.54 (step @p231 :rule reordering :premises (@p230) :args ((or @t118 (not @t83) (not @t84) (not @t85) (not @t87) (not @t88) (not @t89) (not @t90) (not @t91) (not @t92) (not @t94) (not @t96) (not @t98) (not @t99) (not @t100) (not @t101) (not @t102) (not @t104) (not @t105) (not @t107) (not @t108) (not @t109) (not @t111) (not @t113) (not @t114) (not @t116)))) % 167.28/167.54 (step @p232 false :rule chain_m_resolution :premises (@p231 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p68 @p64 @p60 @p59 @p58 @p57 @p56 @p55 @p51 @p47 @p46 @p45 @p44 @p40 @p36 @p32 @p31 @p27 @p23) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t116 @t114 @t113 @t111 @t109 @t108 @t107 @t105 @t104 @t102 @t101 @t100 @t99 @t98 @t96 @t94 @t92 @t91 @t90 @t89 @t88 @t87 @t85 @t84 @t83 @t118))) % 167.28/167.54 ) % 167.28/167.55 % SZS output end Proof % 167.28/167.55 % cvc5 exiting %------------------------------------------------------------------------------