%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM853+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:40:50 AM UTC 2026 % Result : Theorem 0.14s 0.37s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM853+2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 12:30:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.37 % SZS status Theorem % 0.14/0.37 % SZS output start Proof % 0.14/0.37 ( % 0.14/0.37 (declare-sort $$unsorted 0) % 0.14/0.37 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.v1 $$unsorted) % 0.14/0.37 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.14/0.37 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.vd487 $$unsorted) % 0.14/0.37 (declare-const tptp.vd486 $$unsorted) % 0.14/0.37 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.14/0.37 (declare-const tptp.vd488 $$unsorted) % 0.14/0.37 (define @t1 () (tptp.greater tptp.vd486 tptp.vd488)) % 0.14/0.37 (define @t2 () (tptp.vmul tptp.vd488 tptp.vd487)) % 0.14/0.37 (define @t3 () (tptp.vmul tptp.vd486 tptp.vd487)) % 0.14/0.37 (define @t4 () (tptp.greater @t3 @t2)) % 0.14/0.37 (define @t5 () (@var "Vd456" $$unsorted)) % 0.14/0.37 (define @t6 () (@var "Vd466" $$unsorted)) % 0.14/0.37 (define @t7 () (@var "Vd465" $$unsorted)) % 0.14/0.37 (define @t8 () (tptp.less (tptp.vmul @t7 @t5) (tptp.vmul @t6 @t5))) % 0.14/0.37 (define @t9 () (tptp.less @t7 @t6)) % 0.14/0.37 (define @t10 () (forall (@list @t5 @t7 @t6) (=> @t9 @t8))) % 0.14/0.37 (define @t11 () (@var "Vd462" $$unsorted)) % 0.14/0.37 (define @t12 () (@var "Vd461" $$unsorted)) % 0.14/0.37 (define @t13 () (@var "Vd458" $$unsorted)) % 0.14/0.37 (define @t14 () (@var "Vd457" $$unsorted)) % 0.14/0.37 (define @t15 () (@var "Vd446" $$unsorted)) % 0.14/0.37 (define @t16 () (@var "Vd445" $$unsorted)) % 0.14/0.37 (define @t17 () (@var "Vd444" $$unsorted)) % 0.14/0.37 (define @t18 () (@var "Vd434" $$unsorted)) % 0.14/0.37 (define @t19 () (@var "Vd432" $$unsorted)) % 0.14/0.37 (define @t20 () (@var "Vd433" $$unsorted)) % 0.14/0.37 (define @t21 () (@var "Vd418" $$unsorted)) % 0.14/0.37 (define @t22 () (@var "Vd419" $$unsorted)) % 0.14/0.37 (define @t23 () (@var "Vd409" $$unsorted)) % 0.14/0.37 (define @t24 () (@var "Vd408" $$unsorted)) % 0.14/0.37 (define @t25 () (@var "Vd400" $$unsorted)) % 0.14/0.37 (define @t26 () (@var "Vd396" $$unsorted)) % 0.14/0.37 (define @t27 () (@var "Vd397" $$unsorted)) % 0.14/0.37 (define @t28 () (@var "Vd387" $$unsorted)) % 0.14/0.37 (define @t29 () (@var "Vd386" $$unsorted)) % 0.14/0.37 (define @t30 () (@var "Vd376" $$unsorted)) % 0.14/0.37 (define @t31 () (@var "Vd375" $$unsorted)) % 0.14/0.37 (define @t32 () (@var "Vd369" $$unsorted)) % 0.14/0.37 (define @t33 () (@var "Vd366" $$unsorted)) % 0.14/0.37 (define @t34 () (@var "Vd363" $$unsorted)) % 0.14/0.37 (define @t35 () (@var "Vd365" $$unsorted)) % 0.14/0.37 (define @t36 () (@var "Vd362" $$unsorted)) % 0.14/0.37 (define @t37 () (@var "Vd226" $$unsorted)) % 0.14/0.37 (define @t38 () (@var "Vd227" $$unsorted)) % 0.14/0.37 (define @t39 () (@var "Vd208" $$unsorted)) % 0.14/0.37 (define @t40 () (@var "Vd209" $$unsorted)) % 0.14/0.37 (define @t41 () (@var "Vd204" $$unsorted)) % 0.14/0.37 (define @t42 () (@var "Vd203" $$unsorted)) % 0.14/0.37 (define @t43 () (tptp.less @t42 @t41)) % 0.14/0.37 (define @t44 () (tptp.greater @t42 @t41)) % 0.14/0.37 (define @t45 () (= @t42 @t41)) % 0.14/0.37 (define @t46 () (@list @t42 @t41)) % 0.14/0.37 (define @t47 () (not @t43)) % 0.14/0.37 (define @t48 () (not @t45)) % 0.14/0.37 (define @t49 () (not @t44)) % 0.14/0.37 (define @t50 () (@var "Vd201" $$unsorted)) % 0.14/0.37 (define @t51 () (@var "Vd199" $$unsorted)) % 0.14/0.37 (define @t52 () (@var "Vd198" $$unsorted)) % 0.14/0.37 (define @t53 () (@var "Vd196" $$unsorted)) % 0.14/0.37 (define @t54 () (@var "Vd193" $$unsorted)) % 0.14/0.37 (define @t55 () (@var "Vd194" $$unsorted)) % 0.14/0.37 (define @t56 () (= @t55 (tptp.vplus @t54 @t53))) % 0.14/0.37 (define @t57 () (@list @t53)) % 0.14/0.37 (define @t58 () (exists @t57 @t56)) % 0.14/0.37 (define @t59 () (tptp.greater @t55 @t54)) % 0.14/0.37 (define @t60 () (= @t59 @t58)) % 0.14/0.37 (define @t61 () (forall (@list @t54 @t55) @t60)) % 0.14/0.37 (define @t62 () (@var "Vd125" $$unsorted)) % 0.14/0.37 (define @t63 () (@var "Vd120" $$unsorted)) % 0.14/0.37 (define @t64 () (@var "Vd121" $$unsorted)) % 0.14/0.37 (define @t65 () (= @t64 (tptp.vplus @t63 @t62))) % 0.14/0.37 (define @t66 () (@list @t62)) % 0.14/0.37 (define @t67 () (exists @t66 @t65)) % 0.14/0.37 (define @t68 () (@var "Vd123" $$unsorted)) % 0.14/0.37 (define @t69 () (exists (@list @t68) (= @t63 (tptp.vplus @t64 @t68)))) % 0.14/0.37 (define @t70 () (= @t63 @t64)) % 0.14/0.37 (define @t71 () (@list @t63 @t64)) % 0.14/0.37 (define @t72 () (not @t67)) % 0.14/0.37 (define @t73 () (not @t70)) % 0.14/0.37 (define @t74 () (or @t73 @t72)) % 0.14/0.37 (define @t75 () (forall @t71 @t74)) % 0.14/0.37 (define @t76 () (not @t69)) % 0.14/0.37 (define @t77 () (@var "Vd105" $$unsorted)) % 0.14/0.37 (define @t78 () (@var "Vd107" $$unsorted)) % 0.14/0.37 (define @t79 () (@var "Vd104" $$unsorted)) % 0.14/0.37 (define @t80 () (@var "Vd93" $$unsorted)) % 0.14/0.37 (define @t81 () (@var "Vd92" $$unsorted)) % 0.14/0.37 (define @t82 () (@var "Vd79" $$unsorted)) % 0.14/0.37 (define @t83 () (@var "Vd78" $$unsorted)) % 0.14/0.37 (define @t84 () (@var "Vd69" $$unsorted)) % 0.14/0.37 (define @t85 () (@var "Vd68" $$unsorted)) % 0.14/0.37 (define @t86 () (@var "Vd59" $$unsorted)) % 0.14/0.37 (define @t87 () (@var "Vd48" $$unsorted)) % 0.14/0.37 (define @t88 () (@var "Vd47" $$unsorted)) % 0.14/0.37 (define @t89 () (@var "Vd46" $$unsorted)) % 0.14/0.37 (define @t90 () (@var "Vd42" $$unsorted)) % 0.14/0.37 (define @t91 () (@var "Vd43" $$unsorted)) % 0.14/0.37 (define @t92 () (@var "Vd24" $$unsorted)) % 0.14/0.37 (define @t93 () (@var "Vd16" $$unsorted)) % 0.14/0.37 (define @t94 () (@var "Vd8" $$unsorted)) % 0.14/0.37 (define @t95 () (@var "Vd7" $$unsorted)) % 0.14/0.37 (define @t96 () (forall @t57 (not (= @t3 (tptp.vplus @t2 @t53))))) % 0.14/0.37 (define @t97 () (not @t96)) % 0.14/0.37 (define @t98 () (= @t4 @t97)) % 0.14/0.37 (define @t99 () (not @t4)) % 0.14/0.37 (define @t100 () (@list false false)) % 0.14/0.37 (define @t101 () (@quantifiers_skolemize @t96 0)) % 0.14/0.37 (define @t102 () (tptp.vplus @t2 @t101)) % 0.14/0.37 (define @t103 () (= @t3 @t102)) % 0.14/0.37 (define @t104 () (not (not @t103))) % 0.14/0.37 (define @t105 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.14/0.37 (define @t106 () (not (= @t64 (tptp.vplus @t64 @t105)))) % 0.14/0.37 (define @t107 () (not (= @t64 @t64))) % 0.14/0.37 (define @t108 () (or @t107 @t106)) % 0.14/0.37 (define @t109 () (@list @t64 @t105)) % 0.14/0.37 (define @t110 () (not (= @t64 (tptp.vplus @t63 @t105)))) % 0.14/0.37 (define @t111 () (or @t73 @t73 @t110)) % 0.14/0.37 (define @t112 () (@list @t63)) % 0.14/0.37 (define @t113 () (or @t73 @t110)) % 0.14/0.37 (define @t114 () (forall @t112 @t113)) % 0.14/0.37 (define @t115 () (forall @t109 @t114)) % 0.14/0.37 (define @t116 () (forall (@list @t64 @t105 @t63) @t113)) % 0.14/0.37 (define @t117 () (forall (@list @t63 @t64 @t105) @t113)) % 0.14/0.37 (define @t118 () (@list @t105)) % 0.14/0.37 (define @t119 () (forall @t118 @t113)) % 0.14/0.37 (define @t120 () (forall @t118 @t110)) % 0.14/0.37 (define @t121 () (or @t73 @t120)) % 0.14/0.37 (define @t122 () (forall @t66 (not @t65))) % 0.14/0.37 (define @t123 () (tptp.less @t3 @t2)) % 0.14/0.37 (define @t124 () (not @t123)) % 0.14/0.37 (define @t125 () (or @t99 @t124)) % 0.14/0.37 (define @t126 () (tptp.less tptp.vd486 tptp.vd488)) % 0.14/0.37 (define @t127 () (not @t126)) % 0.14/0.37 (define @t128 () (or @t127 @t123)) % 0.14/0.37 (define @t129 () (= tptp.vd486 tptp.vd488)) % 0.14/0.37 (define @t130 () (or @t129 @t1 @t126)) % 0.14/0.37 (define @t131 () (= @t3 (tptp.vmul tptp.vd487 tptp.vd486))) % 0.14/0.37 (define @t132 () (tptp.vmul tptp.vd487 tptp.vd488)) % 0.14/0.37 (define @t133 () (= @t2 @t132)) % 0.14/0.37 (define @t134 () (= @t2 @t102)) % 0.14/0.37 (define @t135 () (and @t131 @t133 @t129 @t103)) % 0.14/0.37 (assume @p1 (not @t1)) % 0.14/0.37 (assume @p2 @t4) % 0.14/0.37 (assume @p3 @t10) % 0.14/0.37 (assume @p4 (forall (@list @t5 @t12 @t11) (=> (= @t12 @t11) (= (tptp.vmul @t12 @t5) (tptp.vmul @t11 @t5))))) % 0.14/0.37 (assume @p5 (forall (@list @t5 @t14 @t13) (=> (tptp.greater @t14 @t13) (tptp.greater (tptp.vmul @t14 @t5) (tptp.vmul @t13 @t5))))) % 0.14/0.37 (assume @p6 (forall (@list @t17 @t16 @t15) (= (tptp.vmul (tptp.vmul @t17 @t16) @t15) (tptp.vmul @t17 (tptp.vmul @t16 @t15))))) % 0.14/0.37 (assume @p7 (forall (@list @t19 @t20 @t18) (= (tptp.vmul @t19 (tptp.vplus @t20 @t18)) (tptp.vplus (tptp.vmul @t19 @t20) (tptp.vmul @t19 @t18))))) % 0.14/0.37 (assume @p8 (forall (@list @t21 @t22) (= (tptp.vmul @t21 @t22) (tptp.vmul @t22 @t21)))) % 0.14/0.37 (assume @p9 (forall (@list @t24 @t23) (= (tptp.vmul (tptp.vsucc @t24) @t23) (tptp.vplus (tptp.vmul @t24 @t23) @t23)))) % 0.14/0.37 (assume @p10 (forall (@list @t25) (= (tptp.vmul tptp.v1 @t25) @t25))) % 0.14/0.37 (assume @p11 (forall (@list @t26 @t27) (and (= (tptp.vmul @t26 (tptp.vsucc @t27)) (tptp.vplus (tptp.vmul @t26 @t27) @t26)) (= (tptp.vmul @t26 tptp.v1) @t26)))) % 0.14/0.37 (assume @p12 (forall (@list @t29 @t28) (=> (tptp.less @t29 (tptp.vplus @t28 tptp.v1)) (tptp.leq @t29 @t28)))) % 0.14/0.37 (assume @p13 (forall (@list @t31 @t30) (=> (tptp.greater @t31 @t30) (tptp.geq @t31 (tptp.vplus @t30 tptp.v1))))) % 0.14/0.37 (assume @p14 (forall (@list @t32) (tptp.geq @t32 tptp.v1))) % 0.14/0.37 (assume @p15 (forall (@list @t36 @t34 @t35 @t33) (=> (and (tptp.geq @t35 @t33) (tptp.geq @t36 @t34)) (tptp.geq (tptp.vplus @t36 @t35) (tptp.vplus @t34 @t33))))) % 0.14/0.37 (assume @p16 (forall (@list @t37 @t38) (=> (tptp.less @t37 @t38) (tptp.greater @t38 @t37)))) % 0.14/0.37 (assume @p17 (forall (@list @t39 @t40) (=> (tptp.greater @t39 @t40) (tptp.less @t40 @t39)))) % 0.14/0.37 (assume @p18 (forall @t46 (or @t45 @t44 @t43))) % 0.14/0.37 (assume @p19 (forall @t46 (or @t48 @t47))) % 0.14/0.37 (assume @p20 (forall @t46 (or @t49 @t47))) % 0.14/0.37 (assume @p21 (forall @t46 (or @t48 @t49))) % 0.14/0.37 (assume @p22 (forall (@list @t52 @t51) (= (tptp.less @t51 @t52) (exists (@list @t50) (= @t52 (tptp.vplus @t51 @t50)))))) % 0.14/0.37 (assume @p23 @t61) % 0.14/0.37 (assume @p24 (forall @t71 (or @t70 @t69 @t67))) % 0.14/0.37 (assume @p25 @t75) % 0.14/0.37 (assume @p26 (forall @t71 (or @t76 @t72))) % 0.14/0.37 (assume @p27 (forall @t71 (or @t73 @t76))) % 0.14/0.37 (assume @p28 (forall (@list @t79 @t77) (=> (not (= @t79 @t77)) (forall (@list @t78) (not (= (tptp.vplus @t78 @t79) (tptp.vplus @t78 @t77))))))) % 0.14/0.37 (assume @p29 (forall (@list @t81 @t80) (not (= @t80 (tptp.vplus @t81 @t80))))) % 0.14/0.37 (assume @p30 (forall (@list @t83 @t82) (= (tptp.vplus @t82 @t83) (tptp.vplus @t83 @t82)))) % 0.14/0.37 (assume @p31 (forall (@list @t85 @t84) (= (tptp.vplus (tptp.vsucc @t85) @t84) (tptp.vsucc (tptp.vplus @t85 @t84))))) % 0.14/0.37 (assume @p32 (forall (@list @t86) (= (tptp.vplus tptp.v1 @t86) (tptp.vsucc @t86)))) % 0.14/0.37 (assume @p33 (forall (@list @t89 @t88 @t87) (= (tptp.vplus (tptp.vplus @t89 @t88) @t87) (tptp.vplus @t89 (tptp.vplus @t88 @t87))))) % 0.14/0.37 (assume @p34 (forall (@list @t90 @t91) (and (= (tptp.vplus @t90 (tptp.vsucc @t91)) (tptp.vsucc (tptp.vplus @t90 @t91))) (= (tptp.vplus @t90 tptp.v1) (tptp.vsucc @t90))))) % 0.14/0.37 (assume @p35 (forall (@list @t92) (=> (not (= @t92 tptp.v1)) (= @t92 (tptp.vsucc (tptp.vskolem2 @t92)))))) % 0.14/0.37 (assume @p36 (forall (@list @t93) (not (= (tptp.vsucc @t93) @t93)))) % 0.14/0.37 (assume @p37 (forall (@list @t95 @t94) (=> (not (= @t95 @t94)) (not (= (tptp.vsucc @t95) (tptp.vsucc @t94)))))) % 0.14/0.37 (assume @p38 true) % 0.14/0.37 (step @p39 :rule instantiate :premises (@p8) :args ((@list tptp.vd486 tptp.vd487))) % 0.14/0.37 (step @p40 :rule instantiate :premises (@p8) :args ((@list tptp.vd488 tptp.vd487))) % 0.14/0.37 (step @p41 :rule exists-elim :args ((= @t58 (not (forall @t57 (not @t56)))))) % 0.14/0.37 (step @p42 :rule refl :args (@t59)) % 0.14/0.37 (step @p43 :rule cong :premises (@p42 @p41) :args (@t60)) % 0.14/0.37 (step @p44 :rule cong :premises (@p43) :args (@t61)) % 0.14/0.37 (step @p45 :rule eq_resolve :premises (@p23 @p44)) % 0.14/0.37 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t2 @t3))) % 0.14/0.37 (step @p47 :rule cnf_equiv_pos1 :args (@t98)) % 0.14/0.37 (step @p48 :rule reordering :premises (@p47) :args ((or @t99 @t97 (not @t98)))) % 0.14/0.37 (step @p49 :rule chain_m_resolution :premises (@p48 @p2 @p46) :args (@t97 @t100 (@list @t4 @t98))) % 0.14/0.37 (step @p50 :rule refl :args (@t103)) % 0.14/0.37 (step @p51 :rule bool-double-not-elim :args (@t96)) % 0.14/0.37 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t97) @t103))) % 0.14/0.37 (step @p53 :rule bool-double-not-elim :args (@t103)) % 0.14/0.37 (step @p54 :rule refl :args (@t97)) % 0.14/0.37 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t97 @t104))) % 0.14/0.37 (assume-push @p136 @t97) % 0.14/0.37 (step @p57 :rule skolemize :premises (@p49)) % 0.14/0.37 (step-pop @p137 :rule scope :premises (@p57)) % 0.14/0.37 (step @p58 :rule process_scope :premises (@p137) :args (@t104)) % 0.14/0.37 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.14/0.37 (step @p61 :rule implies_elim :premises (@p60)) % 0.14/0.37 (step @p62 :rule eq_resolve :premises (@p61 @p52)) % 0.14/0.37 (step @p63 :rule chain_m_resolution :premises (@p62 @p49) :args (@t103 (@list true) (@list @t96))) % 0.14/0.37 (step @p64 :rule aci_norm :args ((= (or false @t106) @t106))) % 0.14/0.37 (step @p65 :rule refl :args (@t106)) % 0.14/0.37 (step @p66 :rule evaluate :args ((not true))) % 0.14/0.37 (step @p67 :rule eq-refl :args (@t64)) % 0.14/0.37 (step @p68 :rule cong :premises (@p67) :args (@t107)) % 0.14/0.37 (step @p69 :rule trans :premises (@p68 @p66)) % 0.14/0.37 (step @p70 :rule nary_cong :premises (@p69 @p65) :args (@t108)) % 0.14/0.37 (step @p71 :rule trans :premises (@p70 @p64)) % 0.14/0.37 (step @p72 :rule cong :premises (@p71) :args ((forall @t109 @t108))) % 0.14/0.37 (step @p73 :rule quant-var-elim-eq :args ((= (forall @t112 @t111) @t108))) % 0.14/0.37 (step @p74 :rule aci_norm :args ((= @t113 @t111))) % 0.14/0.37 (step @p75 :rule cong :premises (@p74) :args (@t114)) % 0.14/0.37 (step @p76 :rule trans :premises (@p75 @p73)) % 0.14/0.37 (step @p77 :rule cong :premises (@p76) :args (@t115)) % 0.14/0.37 (step @p78 :rule quant-merge-prenex :args ((= @t115 @t116))) % 0.14/0.37 (step @p79 :rule symm :premises (@p78)) % 0.14/0.37 (step @p80 :rule quant_var_reordering :args ((= @t117 @t116))) % 0.14/0.37 (step @p81 :rule trans :premises (@p80 @p79 @p77)) % 0.14/0.37 (step @p82 :rule trans :premises (@p81 @p72)) % 0.14/0.37 (step @p83 :rule quant-merge-prenex :args ((= (forall @t71 @t119) @t117))) % 0.14/0.37 (step @p84 :rule alpha_equiv :args (@t120 (@list @t105) (@list @t62))) % 0.14/0.37 (step @p85 :rule refl :args (@t73)) % 0.14/0.38 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t121)) % 0.14/0.38 (step @p87 :rule quant-miniscope-or :args ((= @t119 @t121))) % 0.14/0.38 (step @p88 :rule trans :premises (@p87 @p86)) % 0.14/0.38 (step @p89 :rule symm :premises (@p88)) % 0.14/0.38 (step @p90 :rule cong :premises (@p89) :args ((forall @t71 (or @t73 @t122)))) % 0.14/0.38 (step @p91 :rule trans :premises (@p90 @p83)) % 0.14/0.38 (step @p92 :rule trans :premises (@p91 @p82)) % 0.14/0.38 (step @p93 :rule bool-double-not-elim :args (@t122)) % 0.14/0.38 (step @p94 :rule exists-elim :args ((= @t67 (not @t122)))) % 0.14/0.38 (step @p95 :rule cong :premises (@p94) :args (@t72)) % 0.14/0.38 (step @p96 :rule trans :premises (@p95 @p93)) % 0.14/0.38 (step @p97 :rule refl :args (@t73)) % 0.14/0.38 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t74)) % 0.14/0.38 (step @p99 :rule cong :premises (@p98) :args (@t75)) % 0.14/0.38 (step @p100 :rule trans :premises (@p99 @p92)) % 0.14/0.38 (step @p101 :rule eq_resolve :premises (@p25 @p100)) % 0.14/0.38 (step @p102 :rule instantiate :premises (@p101) :args ((@list @t2 @t101))) % 0.14/0.38 (step @p103 :rule instantiate :premises (@p18) :args ((@list tptp.vd486 tptp.vd488))) % 0.14/0.38 (step @p104 :rule bool-impl-elim :args (@t9 @t8)) % 0.14/0.38 (step @p105 :rule cong :premises (@p104) :args (@t10)) % 0.14/0.38 (step @p106 :rule eq_resolve :premises (@p3 @p105)) % 0.14/0.38 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.vd487 tptp.vd486 tptp.vd488))) % 0.14/0.38 (step @p108 :rule instantiate :premises (@p20) :args ((@list @t3 @t2))) % 0.14/0.38 (step @p109 :rule cnf_or_pos :args (@t125)) % 0.14/0.38 (step @p110 :rule reordering :premises (@p109) :args ((or @t99 @t124 (not @t125)))) % 0.14/0.38 (step @p111 :rule chain_m_resolution :premises (@p110 @p2 @p108) :args (@t124 @t100 (@list @t4 @t125))) % 0.14/0.38 (step @p112 :rule cnf_or_pos :args (@t128)) % 0.14/0.38 (step @p113 :rule reordering :premises (@p112) :args ((or @t123 @t127 (not @t128)))) % 0.14/0.38 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p107) :args (@t127 (@list true false) (@list @t123 @t128))) % 0.14/0.38 (step @p115 :rule cnf_or_pos :args (@t130)) % 0.14/0.38 (step @p116 :rule reordering :premises (@p115) :args ((or @t1 @t129 @t126 (not @t130)))) % 0.14/0.38 (step @p117 :rule chain_m_resolution :premises (@p116 @p1 @p114 @p103) :args (@t129 (@list true true false) (@list @t1 @t126 @t130))) % 0.14/0.38 (assume-push @p138 @t131) % 0.14/0.38 (assume-push @p139 @t133) % 0.14/0.38 (assume-push @p140 @t129) % 0.14/0.38 (assume-push @p141 @t103) % 0.14/0.38 (step @p122 :rule symm :premises (@p39)) % 0.14/0.38 (step @p123 :rule symm :premises (@p117)) % 0.14/0.38 (step @p124 :rule refl :args (tptp.vd487)) % 0.14/0.38 (step @p125 :rule cong :premises (@p124 @p123) :args (@t132)) % 0.14/0.38 (step @p126 :rule trans :premises (@p40 @p125 @p122 @p63)) % 0.14/0.38 (step-pop @p142 :rule scope :premises (@p126)) % 0.14/0.38 (step-pop @p143 :rule scope :premises (@p142)) % 0.14/0.38 (step-pop @p144 :rule scope :premises (@p143)) % 0.14/0.38 (step-pop @p145 :rule scope :premises (@p144)) % 0.14/0.38 (step @p127 :rule process_scope :premises (@p145) :args (@t134)) % 0.14/0.38 (step @p132 :rule implies_elim :premises (@p127)) % 0.14/0.38 (step @p133 :rule cnf_and_neg :args (@t135)) % 0.14/0.38 (step @p134 :rule resolution :premises (@p133 @p132) :args (true @t135)) % 0.14/0.38 (step @p135 false :rule chain_m_resolution :premises (@p134 @p117 @p102 @p63 @p40 @p39) :args (false (@list false true false false false) (@list @t129 @t134 @t103 @t133 @t131))) % 0.14/0.38 ) % 0.14/0.38 % SZS output end Proof % 0.14/0.38 % cvc5 exiting %------------------------------------------------------------------------------