%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS215+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:29:08 AM UTC 2026 % Result : Theorem 204.06s 204.32s % Output : Proof 204.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS215+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:32:22 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 204.06/204.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 204.06/204.32 --- Run --no-e-matching --full-saturate-quant at 6... % 204.06/204.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 204.06/204.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 204.06/204.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 204.06/204.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 204.06/204.32 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 204.06/204.32 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 204.06/204.32 --- Run --prenex-quant=none --full-saturate-quant at 30... % 204.06/204.32 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 204.06/204.32 --- Run --relevant-triggers --full-saturate-quant at 30... % 204.06/204.32 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.06/204.32 % SZS status Theorem % 204.06/204.32 % SZS output start Proof % 204.06/204.32 ( % 204.06/204.32 (declare-sort $$unsorted 0) % 204.06/204.32 (declare-const tptp.xora (-> $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.nevera (-> $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.nota (-> $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.mighta (-> $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.noc $$unsorted) % 204.06/204.32 (declare-const tptp.uns $$unsorted) % 204.06/204.32 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 204.06/204.32 (declare-const tptp.tca $$unsorted) % 204.06/204.32 (declare-const tptp.sca $$unsorted) % 204.06/204.32 (declare-const tptp.wth $$unsorted) % 204.06/204.32 (declare-const tptp.unp $$unsorted) % 204.06/204.32 (declare-const tptp.wca $$unsorted) % 204.06/204.32 (declare-const tptp.wec $$unsorted) % 204.06/204.32 (declare-const tptp.sap $$unsorted) % 204.06/204.32 (declare-const tptp.wtc $$unsorted) % 204.06/204.32 (declare-const tptp.model (-> $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.sat $$unsorted) % 204.06/204.32 (declare-const tptp.cax $$unsorted) % 204.06/204.32 (declare-const tptp.eqv $$unsorted) % 204.06/204.32 (declare-const tptp.esa $$unsorted) % 204.06/204.32 (declare-const tptp.csa $$unsorted) % 204.06/204.32 (declare-const tptp.status (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.thm $$unsorted) % 204.06/204.32 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 204.06/204.32 (declare-const tptp.eth $$unsorted) % 204.06/204.32 (declare-const tptp.tac $$unsorted) % 204.06/204.32 (declare-const tptp.tau $$unsorted) % 204.06/204.32 (define @t1 () (@var "C" $$unsorted)) % 204.06/204.32 (define @t2 () (@var "Ax" $$unsorted)) % 204.06/204.32 (define @t3 () (@var "I2" $$unsorted)) % 204.06/204.32 (define @t4 () (tptp.model @t3 @t1)) % 204.06/204.32 (define @t5 () (@list @t3)) % 204.06/204.32 (define @t6 () (exists @t5 @t4)) % 204.06/204.32 (define @t7 () (@var "I1" $$unsorted)) % 204.06/204.32 (define @t8 () (tptp.model @t7 @t2)) % 204.06/204.32 (define @t9 () (@list @t7)) % 204.06/204.32 (define @t10 () (exists @t9 @t8)) % 204.06/204.32 (define @t11 () (not @t10)) % 204.06/204.32 (define @t12 () (@list @t2 @t1)) % 204.06/204.32 (define @t13 () (tptp.model @t7 @t1)) % 204.06/204.32 (define @t14 () (and @t8 @t13)) % 204.06/204.32 (define @t15 () (exists @t9 @t14)) % 204.06/204.32 (define @t16 () (tptp.status @t2 @t1 tptp.thm)) % 204.06/204.32 (define @t17 () (forall @t9 (=> @t8 @t13))) % 204.06/204.32 (define @t18 () (= @t17 @t16)) % 204.06/204.32 (define @t19 () (forall @t12 @t18)) % 204.06/204.32 (define @t20 () (tptp.model @t3 @t2)) % 204.06/204.32 (define @t21 () (forall @t5 @t4)) % 204.06/204.32 (define @t22 () (@var "I3" $$unsorted)) % 204.06/204.32 (define @t23 () (tptp.model @t22 @t2)) % 204.06/204.32 (define @t24 () (not @t23)) % 204.06/204.32 (define @t25 () (tptp.model @t22 @t1)) % 204.06/204.32 (define @t26 () (@list @t22)) % 204.06/204.32 (define @t27 () (exists @t26 (and @t25 @t24))) % 204.06/204.32 (define @t28 () (forall @t5 (=> @t20 @t4))) % 204.06/204.32 (define @t29 () (not @t20)) % 204.06/204.32 (define @t30 () (exists @t5 @t29)) % 204.06/204.32 (define @t31 () (@var "I4" $$unsorted)) % 204.06/204.32 (define @t32 () (exists (@list @t31) (not (tptp.model @t31 @t1)))) % 204.06/204.32 (define @t33 () (tptp.status @t2 @t1 tptp.csa)) % 204.06/204.32 (define @t34 () (tptp.not @t1)) % 204.06/204.32 (define @t35 () (tptp.model @t7 @t34)) % 204.06/204.32 (define @t36 () (and @t8 @t35)) % 204.06/204.32 (define @t37 () (exists @t9 @t36)) % 204.06/204.32 (define @t38 () (= @t37 @t33)) % 204.06/204.32 (define @t39 () (forall @t12 @t38)) % 204.06/204.32 (define @t40 () (tptp.model @t3 @t34)) % 204.06/204.32 (define @t41 () (@var "S2" $$unsorted)) % 204.06/204.32 (define @t42 () (@var "S1" $$unsorted)) % 204.06/204.32 (define @t43 () (tptp.status @t2 @t1 @t41)) % 204.06/204.32 (define @t44 () (tptp.status @t2 @t1 @t42)) % 204.06/204.32 (define @t45 () (@list @t42 @t41)) % 204.06/204.32 (define @t46 () (tptp.nota @t42 @t41)) % 204.06/204.32 (define @t47 () (not @t43)) % 204.06/204.32 (define @t48 () (and @t44 @t47)) % 204.06/204.32 (define @t49 () (exists @t12 @t48)) % 204.06/204.32 (define @t50 () (= @t49 @t46)) % 204.06/204.32 (define @t51 () (forall @t45 @t50)) % 204.06/204.32 (define @t52 () (@var "F" $$unsorted)) % 204.06/204.32 (define @t53 () (tptp.not @t52)) % 204.06/204.32 (define @t54 () (@var "I" $$unsorted)) % 204.06/204.32 (define @t55 () (tptp.model @t54 @t53)) % 204.06/204.32 (define @t56 () (tptp.model @t54 @t52)) % 204.06/204.32 (define @t57 () (@list @t54 @t52)) % 204.06/204.32 (define @t58 () (forall @t57 (xor @t56 @t55))) % 204.06/204.32 (define @t59 () (@list @t54)) % 204.06/204.32 (define @t60 () (forall @t59 @t56)) % 204.06/204.32 (define @t61 () (@list @t52)) % 204.06/204.32 (define @t62 () (exists @t61 @t60)) % 204.06/204.32 (define @t63 () (not @t56)) % 204.06/204.32 (define @t64 () (forall @t59 @t63)) % 204.06/204.32 (define @t65 () (exists @t61 @t64)) % 204.06/204.32 (define @t66 () (not (tptp.nota tptp.csa tptp.thm))) % 204.06/204.32 (define @t67 () (@var "b_I1" it_8_$$unsorted)) % 204.06/204.32 (define @t68 () (@const 0 (-> it_8_$$unsorted $$unsorted Bool))) % 204.06/204.32 (define @t69 () (@list @t67)) % 204.06/204.32 (define @t70 () (@const 1 it_7_$$unsorted)) % 204.06/204.32 (define @t71 () (@const 2 (-> $$unsorted $$unsorted it_7_$$unsorted Bool))) % 204.06/204.32 (define @t72 () (_ @t71 @t2 @t1 @t70)) % 204.06/204.32 (define @t73 () (not @t8)) % 204.06/204.32 (define @t74 () (forall @t9 (or @t73 @t13))) % 204.06/204.32 (define @t75 () (@var "b_I" it_8_$$unsorted)) % 204.06/204.32 (define @t76 () (@list @t75)) % 204.06/204.32 (define @t77 () (forall @t61 (not (forall @t76 (not (_ @t68 @t75 @t52)))))) % 204.06/204.32 (define @t78 () (@quantifiers_skolemize @t77 0)) % 204.06/204.32 (define @t79 () (@var "b_I" it_8_$$unsorted)) % 204.06/204.32 (define @t80 () (@list @t79)) % 204.06/204.32 (define @t81 () (forall @t61 (not (forall @t80 (_ @t68 @t79 @t52))))) % 204.06/204.32 (define @t82 () (@quantifiers_skolemize @t81 0)) % 204.06/204.32 (define @t83 () (@list @t82 @t78)) % 204.06/204.32 (define @t84 () (@var "b_S2" it_7_$$unsorted)) % 204.06/204.32 (define @t85 () (@var "b_S1" it_7_$$unsorted)) % 204.06/204.32 (define @t86 () (@const 3 (-> it_7_$$unsorted it_7_$$unsorted Bool))) % 204.06/204.32 (define @t87 () (not @t44)) % 204.06/204.32 (define @t88 () (not (forall @t12 (or @t87 @t43)))) % 204.06/204.32 (define @t89 () (forall @t12 (not @t48))) % 204.06/204.32 (define @t90 () (not @t89)) % 204.06/204.32 (define @t91 () (@const 4 it_7_$$unsorted)) % 204.06/204.32 (define @t92 () (_ @t86 @t91 @t70)) % 204.06/204.32 (define @t93 () (_ @t71 @t2 @t1 @t91)) % 204.06/204.32 (define @t94 () (forall @t12 (or (not @t93) @t72))) % 204.06/204.32 (define @t95 () (not @t94)) % 204.06/204.32 (define @t96 () (= @t92 @t95)) % 204.06/204.32 (define @t97 () (not @t96)) % 204.06/204.32 (define @t98 () (@list true false)) % 204.06/204.32 (define @t99 () (@var "b_I1" it_8_$$unsorted)) % 204.06/204.32 (define @t100 () (@list @t99)) % 204.06/204.32 (define @t101 () (not (forall @t9 (or @t73 (not @t35))))) % 204.06/204.32 (define @t102 () (forall @t9 (not @t36))) % 204.06/204.32 (define @t103 () (not @t102)) % 204.06/204.32 (define @t104 () (@var "b_I" it_8_$$unsorted)) % 204.06/204.32 (define @t105 () (forall (@list @t104 @t52) (= (_ @t68 @t104 @t53) (not (_ @t68 @t104 @t52))))) % 204.06/204.32 (define @t106 () (tptp.not @t78)) % 204.06/204.32 (define @t107 () (@var "b_BOUND_VARIABLE_7854" it_8_$$unsorted)) % 204.06/204.32 (define @t108 () (@var "b_BOUND_VARIABLE_7850" it_8_$$unsorted)) % 204.06/204.32 (define @t109 () (@quantifiers_skolemize (forall (@list @t52 @t108 @t107) (or (not (_ @t68 @t108 @t52)) (_ @t68 @t107 @t52))) 1)) % 204.06/204.32 (define @t110 () (_ @t68 @t109 @t106)) % 204.06/204.32 (define @t111 () (_ @t68 @t109 @t78)) % 204.06/204.32 (define @t112 () (not @t111)) % 204.06/204.32 (define @t113 () (= @t110 @t112)) % 204.06/204.32 (define @t114 () (= @t112 @t110)) % 204.06/204.32 (define @t115 () (not @t77)) % 204.06/204.32 (define @t116 () (not (forall @t61 (not @t64)))) % 204.06/204.32 (define @t117 () (forall @t76 (not (_ @t68 @t75 @t78)))) % 204.06/204.32 (define @t118 () (not (not @t117))) % 204.06/204.32 (define @t119 () (@list true)) % 204.06/204.32 (define @t120 () (@list @t109)) % 204.06/204.32 (define @t121 () (not @t114)) % 204.06/204.32 (define @t122 () (not @t81)) % 204.06/204.32 (define @t123 () (not (forall @t61 (not @t60)))) % 204.06/204.32 (define @t124 () (forall @t80 (_ @t68 @t79 @t82))) % 204.06/204.32 (define @t125 () (not (not @t124))) % 204.06/204.32 (define @t126 () (not @t110)) % 204.06/204.32 (define @t127 () (_ @t68 @t109 @t82)) % 204.06/204.32 (define @t128 () (not @t127)) % 204.06/204.32 (define @t129 () (or @t128 @t126)) % 204.06/204.32 (define @t130 () (not @t129)) % 204.06/204.32 (define @t131 () (@list false false)) % 204.06/204.32 (define @t132 () (forall @t100 (or (not (_ @t68 @t99 @t82)) (not (_ @t68 @t99 @t106))))) % 204.06/204.32 (define @t133 () (not @t132)) % 204.06/204.32 (define @t134 () (_ @t71 @t82 @t78 @t91)) % 204.06/204.32 (define @t135 () (= @t134 @t133)) % 204.06/204.32 (define @t136 () (not @t135)) % 204.06/204.32 (define @t137 () (_ @t71 @t82 @t78 @t70)) % 204.06/204.32 (define @t138 () (not @t134)) % 204.06/204.32 (define @t139 () (or @t138 @t137)) % 204.06/204.32 (define @t140 () (forall @t69 (or (not (_ @t68 @t67 @t82)) (_ @t68 @t67 @t78)))) % 204.06/204.32 (define @t141 () (= @t137 @t140)) % 204.06/204.32 (define @t142 () (or @t128 @t111)) % 204.06/204.32 (define @t143 () (not @t142)) % 204.06/204.32 (assume @p1 (forall @t12 (= (=> @t11 (not @t6)) (tptp.status @t2 @t1 tptp.unp)))) % 204.06/204.32 (assume @p2 (forall @t12 (= (=> @t10 @t6) (tptp.status @t2 @t1 tptp.sap)))) % 204.06/204.32 (assume @p3 (forall @t12 (= (= @t10 @t6) (tptp.status @t2 @t1 tptp.esa)))) % 204.06/204.32 (assume @p4 (forall @t12 (= @t15 (tptp.status @t2 @t1 tptp.sat)))) % 204.06/204.32 (assume @p5 @t19) % 204.06/204.32 (assume @p6 (forall @t12 (= (and @t10 (forall @t5 (= @t20 @t4))) (tptp.status @t2 @t1 tptp.eqv)))) % 204.06/204.32 (assume @p7 (forall @t12 (= (and @t10 @t21) (tptp.status @t2 @t1 tptp.tac)))) % 204.06/204.32 (assume @p8 (forall @t12 (= (and @t10 @t28 @t27) (tptp.status @t2 @t1 tptp.wec)))) % 204.06/204.32 (assume @p9 (forall @t12 (= (and @t10 @t30 (forall @t26 (= @t23 @t25))) (tptp.status @t2 @t1 tptp.eth)))) % 204.06/204.32 (assume @p10 (forall @t12 (= (forall @t9 @t14) (tptp.status @t2 @t1 tptp.tau)))) % 204.06/204.32 (assume @p11 (forall @t12 (= (and @t10 @t30 (forall @t26 @t25)) (tptp.status @t2 @t1 tptp.wtc)))) % 204.06/204.32 (assume @p12 (forall @t12 (= (and @t10 @t28 @t27 @t32) (tptp.status @t2 @t1 tptp.wth)))) % 204.06/204.32 (assume @p13 (forall @t12 (= @t11 (tptp.status @t2 @t1 tptp.cax)))) % 204.06/204.32 (assume @p14 (forall @t12 (= (and @t11 @t6) (tptp.status @t2 @t1 tptp.sca)))) % 204.06/204.32 (assume @p15 (forall @t12 (= (and @t11 @t21) (tptp.status @t2 @t1 tptp.tca)))) % 204.06/204.32 (assume @p16 (forall @t12 (= (and @t11 @t6 (exists @t26 (not @t25))) (tptp.status @t2 @t1 tptp.wca)))) % 204.06/204.32 (assume @p17 @t39) % 204.06/204.32 (assume @p18 (forall @t12 (= (and (forall @t9 @t8) (forall @t5 @t40)) (tptp.status @t2 @t1 tptp.uns)))) % 204.06/204.32 (assume @p19 (forall @t12 (= (and @t15 (exists @t5 (and @t20 @t40))) (tptp.status @t2 @t1 tptp.noc)))) % 204.06/204.32 (assume @p20 (forall @t45 (= (exists @t12 (and @t44 @t43)) (tptp.mighta @t42 @t41)))) % 204.06/204.32 (assume @p21 (forall @t45 (= (forall @t12 (=> @t44 @t43)) (tptp.isa @t42 @t41)))) % 204.06/204.32 (assume @p22 @t51) % 204.06/204.32 (assume @p23 (forall @t45 (= (forall @t12 (=> @t44 @t47)) (tptp.nevera @t42 @t41)))) % 204.06/204.32 (assume @p24 (forall @t45 (= (forall @t12 (xor @t44 @t43)) (tptp.xora @t42 @t41)))) % 204.06/204.32 (assume @p25 @t58) % 204.06/204.32 (assume @p26 (forall @t57 (= @t56 (not @t55)))) % 204.06/204.32 (assume @p27 @t62) % 204.06/204.32 (assume @p28 (exists @t61 (and (exists @t9 (tptp.model @t7 @t52)) (exists @t5 (not (tptp.model @t3 @t52)))))) % 204.06/204.32 (assume @p29 @t65) % 204.06/204.32 (assume @p30 (exists @t12 (and @t15 (exists @t5 (or @t29 (not @t4)))))) % 204.06/204.32 (assume @p31 (exists @t12 (and @t10 @t28 (exists @t26 (and @t24 @t25)) @t32))) % 204.06/204.32 (assume @p32 (exists (@list @t7 @t2 @t1) (and @t8 (not @t13) @t6))) % 204.06/204.32 (assume @p33 @t66) % 204.06/204.32 (assume @p34 true) % 204.06/204.32 ; WARNING: add trust step for TRUST % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p35 :rule trust :premises () :args ((= (forall @t12 (= @t16 @t74)) (forall @t12 (= @t72 (forall @t69 (or (not (_ @t68 @t67 @t2)) (_ @t68 @t67 @t1)))))))) % 204.06/204.32 (step @p36 :rule eq-symm :args (@t74 @t16)) % 204.06/204.32 (step @p37 :rule refl :args (@t16)) % 204.06/204.32 (step @p38 :rule bool-impl-elim :args (@t8 @t13)) % 204.06/204.32 (step @p39 :rule cong :premises (@p38) :args (@t17)) % 204.06/204.32 (step @p40 :rule cong :premises (@p39 @p37) :args (@t18)) % 204.06/204.32 (step @p41 :rule trans :premises (@p40 @p36)) % 204.06/204.32 (step @p42 :rule cong :premises (@p41) :args (@t19)) % 204.06/204.32 (step @p43 :rule trans :premises (@p42 @p35)) % 204.06/204.32 (step @p44 :rule eq_resolve :premises (@p5 @p43)) % 204.06/204.32 (step @p45 :rule instantiate :premises (@p44) :args (@t83)) % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p46 :rule trust :premises () :args ((= (forall @t45 (= @t46 @t88)) (forall (@list @t85 @t84) (= (_ @t86 @t85 @t84) (not (forall @t12 (or (not (_ @t71 @t2 @t1 @t85)) (_ @t71 @t2 @t1 @t84))))))))) % 204.06/204.32 (step @p47 :rule eq-symm :args (@t88 @t46)) % 204.06/204.32 (step @p48 :rule refl :args (@t46)) % 204.06/204.32 (step @p49 :rule bool-double-not-elim :args (@t43)) % 204.06/204.32 (step @p50 :rule refl :args (@t87)) % 204.06/204.32 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t87 (not @t47)))) % 204.06/204.32 (step @p52 :rule bool-and-de-morgan :args (@t44 @t47 true)) % 204.06/204.32 (step @p53 :rule trans :premises (@p52 @p51)) % 204.06/204.32 (step @p54 :rule cong :premises (@p53) :args (@t89)) % 204.06/204.32 (step @p55 :rule cong :premises (@p54) :args (@t90)) % 204.06/204.32 (step @p56 :rule exists-elim :args ((= @t49 @t90))) % 204.06/204.32 (step @p57 :rule trans :premises (@p56 @p55)) % 204.06/204.32 (step @p58 :rule cong :premises (@p57 @p48) :args (@t50)) % 204.06/204.32 (step @p59 :rule trans :premises (@p58 @p47)) % 204.06/204.32 (step @p60 :rule cong :premises (@p59) :args (@t51)) % 204.06/204.32 (step @p61 :rule trans :premises (@p60 @p46)) % 204.06/204.32 (step @p62 :rule eq_resolve :premises (@p22 @p61)) % 204.06/204.32 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t91 @t70))) % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p64 :rule trust :premises () :args ((= @t66 (not @t92)))) % 204.06/204.32 (step @p65 :rule eq_resolve :premises (@p33 @p64)) % 204.06/204.32 (step @p66 :rule bool-double-not-elim :args (@t94)) % 204.06/204.32 (step @p67 :rule refl :args (@t92)) % 204.06/204.32 (step @p68 :rule refl :args (@t97)) % 204.06/204.32 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args ((or @t97 @t92 (not @t95)))) % 204.06/204.32 (step @p70 :rule cnf_equiv_pos2 :args (@t96)) % 204.06/204.32 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 204.06/204.32 (step @p72 :rule reordering :premises (@p71) :args ((or @t92 @t94 @t97))) % 204.06/204.32 (step @p73 :rule chain_m_resolution :premises (@p72 @p65 @p63) :args (@t94 @t98 (@list @t92 @t96))) % 204.06/204.32 (step @p74 :rule instantiate :premises (@p73) :args (@t83)) % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p75 :rule trust :premises () :args ((= (forall @t12 (= @t33 @t101)) (forall @t12 (= @t93 (not (forall @t100 (or (not (_ @t68 @t99 @t2)) (not (_ @t68 @t99 @t34)))))))))) % 204.06/204.32 (step @p76 :rule eq-symm :args (@t101 @t33)) % 204.06/204.32 (step @p77 :rule refl :args (@t33)) % 204.06/204.32 (step @p78 :rule bool-and-de-morgan :args (@t8 @t35 true)) % 204.06/204.32 (step @p79 :rule cong :premises (@p78) :args (@t102)) % 204.06/204.32 (step @p80 :rule cong :premises (@p79) :args (@t103)) % 204.06/204.32 (step @p81 :rule exists-elim :args ((= @t37 @t103))) % 204.06/204.32 (step @p82 :rule trans :premises (@p81 @p80)) % 204.06/204.32 (step @p83 :rule cong :premises (@p82 @p77) :args (@t38)) % 204.06/204.32 (step @p84 :rule trans :premises (@p83 @p76)) % 204.06/204.32 (step @p85 :rule cong :premises (@p84) :args (@t39)) % 204.06/204.32 (step @p86 :rule trans :premises (@p85 @p75)) % 204.06/204.32 (step @p87 :rule eq_resolve :premises (@p17 @p86)) % 204.06/204.32 (step @p88 :rule instantiate :premises (@p87) :args (@t83)) % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p89 :rule trust :premises () :args ((= (forall @t57 (= @t55 @t63)) @t105))) % 204.06/204.32 (step @p90 :rule eq-symm :args (@t63 @t55)) % 204.06/204.32 (step @p91 :rule cong :premises (@p90) :args ((forall @t57 (= @t63 @t55)))) % 204.06/204.32 (step @p92 :rule bool-xor-elim :args (@t56 @t55)) % 204.06/204.32 (step @p93 :rule cong :premises (@p92) :args (@t58)) % 204.06/204.32 (step @p94 :rule trans :premises (@p93 @p91)) % 204.06/204.32 (step @p95 :rule trans :premises (@p94 @p89)) % 204.06/204.32 (step @p96 :rule eq_resolve :premises (@p25 @p95)) % 204.06/204.32 (step @p97 :rule eq-symm :args (@t110 @t112)) % 204.06/204.32 (step @p98 :rule refl :args (@t105)) % 204.06/204.32 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t105 @t113))) % 204.06/204.32 (assume-push @p185 @t105) % 204.06/204.32 (step @p101 :rule instantiate :premises (@p96) :args ((@list @t109 @t78))) % 204.06/204.32 (step-pop @p186 :rule scope :premises (@p101)) % 204.06/204.32 (step @p102 :rule process_scope :premises (@p186) :args (@t113)) % 204.06/204.32 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 204.06/204.32 (step @p105 :rule implies_elim :premises (@p104)) % 204.06/204.32 (step @p106 :rule chain_m_resolution :premises (@p105 @p96) :args (@t114 (@list false) (@list @t105))) % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p107 :rule trust :premises () :args ((= @t116 @t115))) % 204.06/204.32 (step @p108 :rule exists-elim :args ((= @t65 @t116))) % 204.06/204.32 (step @p109 :rule trans :premises (@p108 @p107)) % 204.06/204.32 (step @p110 :rule eq_resolve :premises (@p29 @p109)) % 204.06/204.32 (step @p111 :rule refl :args (@t117)) % 204.06/204.32 (step @p112 :rule bool-double-not-elim :args (@t77)) % 204.06/204.32 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t115) @t117))) % 204.06/204.32 (step @p114 :rule bool-double-not-elim :args (@t117)) % 204.06/204.32 (step @p115 :rule refl :args (@t115)) % 204.06/204.32 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t115 @t118))) % 204.06/204.32 (assume-push @p187 @t115) % 204.06/204.32 (step @p118 :rule skolemize :premises (@p110)) % 204.06/204.32 (step-pop @p188 :rule scope :premises (@p118)) % 204.06/204.32 (step @p119 :rule process_scope :premises (@p188) :args (@t118)) % 204.06/204.32 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 204.06/204.32 (step @p122 :rule implies_elim :premises (@p121)) % 204.06/204.32 (step @p123 :rule eq_resolve :premises (@p122 @p113)) % 204.06/204.32 (step @p124 :rule chain_m_resolution :premises (@p123 @p110) :args (@t117 @t119 (@list @t77))) % 204.06/204.32 (step @p125 :rule instantiate :premises (@p124) :args (@t120)) % 204.06/204.32 (step @p126 :rule refl :args (@t110)) % 204.06/204.32 (step @p127 :rule bool-double-not-elim :args (@t111)) % 204.06/204.32 (step @p128 :rule refl :args (@t121)) % 204.06/204.32 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126) :args ((or @t121 (not @t112) @t110))) % 204.06/204.32 (step @p130 :rule cnf_equiv_pos1 :args (@t114)) % 204.06/204.32 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 204.06/204.32 (step @p132 :rule reordering :premises (@p131) :args ((or @t111 @t110 @t121))) % 204.06/204.32 (step @p133 :rule chain_m_resolution :premises (@p132 @p125 @p106) :args (@t110 @t98 (@list @t111 @t114))) % 204.06/204.32 ; trust TRUST PREPROCESS_SORT_INFER % 204.06/204.32 (step @p134 :rule trust :premises () :args ((= @t123 @t122))) % 204.06/204.32 (step @p135 :rule exists-elim :args ((= @t62 @t123))) % 204.06/204.32 (step @p136 :rule trans :premises (@p135 @p134)) % 204.06/204.32 (step @p137 :rule eq_resolve :premises (@p27 @p136)) % 204.06/204.32 (step @p138 :rule refl :args (@t124)) % 204.06/204.32 (step @p139 :rule bool-double-not-elim :args (@t81)) % 204.06/204.32 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or (not @t122) @t124))) % 204.06/204.32 (step @p141 :rule bool-double-not-elim :args (@t124)) % 204.06/204.32 (step @p142 :rule refl :args (@t122)) % 204.06/204.32 (step @p143 :rule cong :premises (@p142 @p141) :args ((=> @t122 @t125))) % 204.06/204.32 (assume-push @p189 @t122) % 204.06/204.32 (step @p145 :rule skolemize :premises (@p137)) % 204.06/204.32 (step-pop @p190 :rule scope :premises (@p145)) % 204.06/204.32 (step @p146 :rule process_scope :premises (@p190) :args (@t125)) % 204.06/204.32 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 204.06/204.32 (step @p149 :rule implies_elim :premises (@p148)) % 204.06/204.32 (step @p150 :rule eq_resolve :premises (@p149 @p140)) % 204.06/204.32 (step @p151 :rule chain_m_resolution :premises (@p150 @p137) :args (@t124 @t119 (@list @t81))) % 204.06/204.32 (step @p152 :rule instantiate :premises (@p151) :args (@t120)) % 204.06/204.32 (step @p153 :rule cnf_or_pos :args (@t129)) % 204.06/204.32 (step @p154 :rule reordering :premises (@p153) :args ((or @t128 @t126 @t130))) % 204.06/204.32 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p133) :args (@t130 @t131 (@list @t127 @t110))) % 204.06/204.32 (assume-push @p191 @t132) % 204.06/204.32 (step @p157 :rule instantiate :premises (@p191) :args (@t120)) % 204.06/204.32 (step-pop @p192 :rule scope :premises (@p157)) % 204.06/204.32 (step @p158 :rule process_scope :premises (@p192) :args (@t129)) % 204.06/204.32 (step @p160 :rule implies_elim :premises (@p158)) % 204.06/204.32 (step @p161 :rule chain_m_resolution :premises (@p160 @p155) :args (@t133 @t119 (@list @t129))) % 204.06/204.32 (step @p162 :rule bool-double-not-elim :args (@t132)) % 204.06/204.32 (step @p163 :rule refl :args (@t134)) % 204.06/204.32 (step @p164 :rule refl :args (@t136)) % 204.06/204.32 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162) :args ((or @t136 @t134 (not @t133)))) % 204.06/204.32 (step @p166 :rule cnf_equiv_pos2 :args (@t135)) % 204.06/204.32 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 204.06/204.32 (step @p168 :rule reordering :premises (@p167) :args ((or @t134 @t132 @t136))) % 204.06/204.32 (step @p169 :rule chain_m_resolution :premises (@p168 @p161 @p88) :args (@t134 @t98 (@list @t132 @t135))) % 204.06/204.32 (step @p170 :rule cnf_or_pos :args (@t139)) % 204.06/204.32 (step @p171 :rule reordering :premises (@p170) :args ((or @t137 @t138 (not @t139)))) % 204.06/204.32 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p74) :args (@t137 @t131 (@list @t134 @t139))) % 204.06/204.32 (step @p173 :rule cnf_equiv_pos1 :args (@t141)) % 204.06/204.32 (step @p174 :rule reordering :premises (@p173) :args ((or @t140 (not @t137) (not @t141)))) % 204.06/204.32 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p45) :args (@t140 @t131 (@list @t137 @t141))) % 204.06/204.32 (step @p176 :rule cnf_or_pos :args (@t142)) % 204.06/204.32 (step @p177 :rule reordering :premises (@p176) :args ((or @t111 @t128 @t143))) % 204.06/204.32 (step @p178 :rule chain_m_resolution :premises (@p177 @p125 @p152) :args (@t143 @t98 (@list @t111 @t127))) % 204.06/204.32 (assume-push @p193 @t140) % 204.06/204.32 (step @p180 :rule instantiate :premises (@p193) :args (@t120)) % 204.06/204.32 (step-pop @p194 :rule scope :premises (@p180)) % 204.06/204.32 (step @p181 :rule process_scope :premises (@p194) :args (@t142)) % 204.06/204.32 (step @p183 :rule implies_elim :premises (@p181)) % 204.06/204.32 (step @p184 false :rule chain_m_resolution :premises (@p183 @p178 @p175) :args (false @t98 (@list @t142 @t140))) % 204.06/204.32 ) % 204.06/204.32 % SZS output end Proof % 204.06/204.32 % cvc5 exiting %------------------------------------------------------------------------------