%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM021+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:10:26 AM UTC 2026 % Result : Theorem 1.96s 2.15s % Output : Proof 1.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM021+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n003.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 : Mon Jun 1 20:28:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.96/2.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.96/2.15 % SZS status Theorem % 1.96/2.15 % SZS output start Proof % 1.96/2.15 ( % 1.96/2.15 (declare-sort $$unsorted 0) % 1.96/2.15 (declare-const tptp.xx $$unsorted) % 1.96/2.15 (declare-const tptp.xv $$unsorted) % 1.96/2.15 (declare-const tptp.xu $$unsorted) % 1.96/2.15 (declare-const tptp.xa $$unsorted) % 1.96/2.15 (declare-const tptp.xb $$unsorted) % 1.96/2.15 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.xw $$unsorted) % 1.96/2.15 (declare-const tptp.xc $$unsorted) % 1.96/2.15 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.xd $$unsorted) % 1.96/2.15 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.xR $$unsorted) % 1.96/2.15 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 1.96/2.15 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.96/2.15 (define @t1 () (@var "W0" $$unsorted)) % 1.96/2.15 (define @t2 () (tptp.aElement0 @t1)) % 1.96/2.15 (define @t3 () (@list @t1)) % 1.96/2.15 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 1.96/2.15 (define @t5 () (@var "W2" $$unsorted)) % 1.96/2.15 (define @t6 () (tptp.aElement0 @t5)) % 1.96/2.15 (define @t7 () (@var "W1" $$unsorted)) % 1.96/2.15 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 1.96/2.15 (define @t9 () (@list @t5)) % 1.96/2.15 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 1.96/2.15 (define @t11 () (and @t2 @t10)) % 1.96/2.15 (define @t12 () (@list @t1 @t7)) % 1.96/2.15 (define @t13 () (tptp.aElement0 @t7)) % 1.96/2.15 (define @t14 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 1.96/2.15 (define @t15 () (and @t2 @t10 @t6)) % 1.96/2.15 (define @t16 () (@list @t1 @t7 @t5)) % 1.96/2.15 (define @t17 () (@var "W3" $$unsorted)) % 1.96/2.15 (define @t18 () (tptp.sdtmndtplgtdt0 @t17 @t7 @t5)) % 1.96/2.15 (define @t19 () (tptp.aReductOfIn0 @t17 @t1 @t7)) % 1.96/2.15 (define @t20 () (tptp.aElement0 @t17)) % 1.96/2.15 (define @t21 () (and @t20 @t19 @t18)) % 1.96/2.15 (define @t22 () (@list @t17)) % 1.96/2.15 (define @t23 () (exists @t22 @t21)) % 1.96/2.15 (define @t24 () (or @t8 @t23)) % 1.96/2.15 (define @t25 () (= @t14 @t24)) % 1.96/2.15 (define @t26 () (=> @t15 @t25)) % 1.96/2.15 (define @t27 () (forall @t16 @t26)) % 1.96/2.15 (define @t28 () (and @t2 @t10 @t6 @t20)) % 1.96/2.15 (define @t29 () (@list @t1 @t7 @t5 @t17)) % 1.96/2.15 (define @t30 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 1.96/2.15 (define @t31 () (= @t30 (or (= @t1 @t5) @t14))) % 1.96/2.15 (define @t32 () (forall @t16 (=> @t15 @t31))) % 1.96/2.15 (define @t33 () (@var "W4" $$unsorted)) % 1.96/2.15 (define @t34 () (exists (@list @t33) (and (tptp.aElement0 @t33) (tptp.sdtmndtasgtdt0 @t5 @t1 @t33) (tptp.sdtmndtasgtdt0 @t17 @t1 @t33)))) % 1.96/2.15 (define @t35 () (@list @t7 @t5 @t17)) % 1.96/2.15 (define @t36 () (tptp.isTerminating0 @t1)) % 1.96/2.15 (define @t37 () (tptp.aReductOfIn0 @t17 @t5 @t7)) % 1.96/2.15 (define @t38 () (exists @t22 @t37)) % 1.96/2.15 (define @t39 () (not @t38)) % 1.96/2.15 (define @t40 () (and @t6 @t30 @t39)) % 1.96/2.15 (define @t41 () (tptp.aNormalFormOfIn0 @t5 @t1 @t7)) % 1.96/2.15 (define @t42 () (= @t41 @t40)) % 1.96/2.15 (define @t43 () (forall @t9 @t42)) % 1.96/2.15 (define @t44 () (=> @t11 @t43)) % 1.96/2.15 (define @t45 () (forall @t12 @t44)) % 1.96/2.15 (define @t46 () (tptp.aRewritingSystem0 tptp.xR)) % 1.96/2.15 (define @t47 () (tptp.aElement0 tptp.xw)) % 1.96/2.15 (define @t48 () (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR)) % 1.96/2.15 (define @t49 () (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR tptp.xx)) % 1.96/2.15 (define @t50 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xx)) % 1.96/2.15 (define @t51 () (tptp.aElement0 tptp.xx)) % 1.96/2.15 (define @t52 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd)) % 1.96/2.15 (define @t53 () (not @t52)) % 1.96/2.15 (define @t54 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 1.96/2.15 (define @t55 () (= (tptp.aNormalFormOfIn0 @t54 @t1 @t7) (and (tptp.aElement0 @t54) (tptp.sdtmndtasgtdt0 @t1 @t7 @t54) (forall @t22 (not (tptp.aReductOfIn0 @t17 @t54 @t7)))))) % 1.96/2.15 (define @t56 () (not @t10)) % 1.96/2.15 (define @t57 () (not @t2)) % 1.96/2.15 (define @t58 () (or @t57 @t56 @t55)) % 1.96/2.15 (define @t59 () (@list @t54)) % 1.96/2.15 (define @t60 () (forall @t59 @t58)) % 1.96/2.15 (define @t61 () (forall @t59 @t55)) % 1.96/2.15 (define @t62 () (or @t57 @t56 @t61)) % 1.96/2.15 (define @t63 () (forall @t22 (not @t37))) % 1.96/2.15 (define @t64 () (forall @t9 (= @t41 (and @t6 @t30 @t63)))) % 1.96/2.15 (define @t65 () (or @t57 @t56 @t64)) % 1.96/2.15 (define @t66 () (not (tptp.aReductOfIn0 @t17 tptp.xd tptp.xR))) % 1.96/2.15 (define @t67 () (forall @t22 @t66)) % 1.96/2.15 (define @t68 () (tptp.aElement0 tptp.xd)) % 1.96/2.15 (define @t69 () (and @t68 (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd) @t67)) % 1.96/2.15 (define @t70 () (= @t48 @t69)) % 1.96/2.15 (define @t71 () (not @t46)) % 1.96/2.15 (define @t72 () (not @t47)) % 1.96/2.15 (define @t73 () (or @t72 @t71 @t70)) % 1.96/2.15 (define @t74 () (@list false false)) % 1.96/2.15 (define @t75 () (not @t69)) % 1.96/2.15 (define @t76 () (@list false)) % 1.96/2.15 (define @t77 () (@list @t69)) % 1.96/2.15 (define @t78 () (not @t18)) % 1.96/2.15 (define @t79 () (not @t19)) % 1.96/2.15 (define @t80 () (not @t20)) % 1.96/2.15 (define @t81 () (or @t80 @t79 @t78)) % 1.96/2.15 (define @t82 () (= @t14 (or @t8 (not (forall @t22 @t81))))) % 1.96/2.15 (define @t83 () (not @t6)) % 1.96/2.15 (define @t84 () (or @t57 @t56 @t83)) % 1.96/2.15 (define @t85 () (not @t15)) % 1.96/2.15 (define @t86 () (forall @t22 (not @t21))) % 1.96/2.15 (define @t87 () (not @t86)) % 1.96/2.15 (define @t88 () (@list tptp.xd tptp.xR tptp.xx)) % 1.96/2.15 (define @t89 () (forall @t22 (or @t80 @t66 (not (tptp.sdtmndtplgtdt0 @t17 tptp.xR tptp.xx))))) % 1.96/2.15 (define @t90 () (not @t89)) % 1.96/2.15 (define @t91 () (tptp.aReductOfIn0 tptp.xx tptp.xd tptp.xR)) % 1.96/2.15 (define @t92 () (or @t91 @t90)) % 1.96/2.15 (define @t93 () (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR tptp.xx)) % 1.96/2.15 (define @t94 () (= @t93 @t92)) % 1.96/2.15 (define @t95 () (not @t51)) % 1.96/2.15 (define @t96 () (not @t68)) % 1.96/2.15 (define @t97 () (or @t96 @t71 @t95 @t94)) % 1.96/2.15 (define @t98 () (@list false false false false)) % 1.96/2.15 (define @t99 () (= tptp.xd tptp.xx)) % 1.96/2.15 (define @t100 () (or @t99 @t93)) % 1.96/2.15 (define @t101 () (= @t49 @t100)) % 1.96/2.15 (define @t102 () (or @t96 @t71 @t95 @t101)) % 1.96/2.15 (define @t103 () (not @t99)) % 1.96/2.15 (define @t104 () (not @t50)) % 1.96/2.15 (define @t105 () (and @t53 @t99 @t50)) % 1.96/2.15 (define @t106 () (@list true false)) % 1.96/2.15 (define @t107 () (@quantifiers_skolemize @t89 0)) % 1.96/2.15 (define @t108 () (tptp.aReductOfIn0 @t107 tptp.xd tptp.xR)) % 1.96/2.15 (define @t109 () (not @t108)) % 1.96/2.15 (define @t110 () (or (not (tptp.aElement0 @t107)) @t109 (not (tptp.sdtmndtplgtdt0 @t107 tptp.xR tptp.xx)))) % 1.96/2.15 (define @t111 () (not @t110)) % 1.96/2.15 (assume @p1 (forall @t3 (=> @t2 true))) % 1.96/2.15 (assume @p2 (forall @t3 (=> @t4 true))) % 1.96/2.15 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 1.96/2.15 (assume @p4 (forall @t12 (=> (and @t2 @t13) (=> (tptp.iLess0 @t1 @t7) true)))) % 1.96/2.15 (assume @p5 (forall @t16 (=> @t15 (=> @t14 true)))) % 1.96/2.15 (assume @p6 @t27) % 1.96/2.15 (assume @p7 (forall @t29 (=> @t28 (=> (and @t14 (tptp.sdtmndtplgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t17))))) % 1.96/2.15 (assume @p8 @t32) % 1.96/2.15 (assume @p9 (forall @t29 (=> @t28 (=> (and @t30 (tptp.sdtmndtasgtdt0 @t5 @t7 @t17)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t17))))) % 1.96/2.15 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t35 (=> (and @t13 @t6 @t20 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t17)) @t34)))))) % 1.96/2.15 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t35 (=> (and @t13 @t6 @t20 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t17 @t7 @t1)) @t34)))))) % 1.96/2.15 (assume @p12 (forall @t3 (=> @t4 (= @t36 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 1.96/2.15 (assume @p13 @t45) % 1.96/2.15 (assume @p14 (forall @t3 (=> (and @t4 @t36) (forall (@list @t7) (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 1.96/2.15 (assume @p15 @t46) % 1.96/2.15 (assume @p16 (and (tptp.isLocallyConfluent0 tptp.xR) (tptp.isTerminating0 tptp.xR))) % 1.96/2.15 (assume @p17 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc))) % 1.96/2.15 (assume @p18 (forall @t16 (=> (and @t2 @t13 @t6 (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7) (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5)) (=> (tptp.iLess0 @t1 tptp.xa) (exists @t22 (and @t20 (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t17) (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t17))))))) % 1.96/2.15 (assume @p19 (and (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 1.96/2.15 (assume @p20 (and (tptp.aElement0 tptp.xu) (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) % 1.96/2.15 (assume @p21 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 1.96/2.15 (assume @p22 (and @t47 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw))) % 1.96/2.15 (assume @p23 @t48) % 1.96/2.15 (assume @p24 (and @t51 @t50 @t49)) % 1.96/2.15 (assume @p25 @t53) % 1.96/2.15 (assume @p26 true) % 1.96/2.15 (step @p27 :rule quant-merge-prenex :args ((= (forall @t12 @t60) (forall (@list @t1 @t7 @t54) @t58)))) % 1.96/2.15 (step @p28 :rule alpha_equiv :args (@t61 (@list @t54) (@list @t5))) % 1.96/2.15 (step @p29 :rule refl :args (@t56)) % 1.96/2.15 (step @p30 :rule refl :args (@t57)) % 1.96/2.15 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t62)) % 1.96/2.15 (step @p32 :rule quant-miniscope-or :args ((= @t60 @t62))) % 1.96/2.15 (step @p33 :rule trans :premises (@p32 @p31)) % 1.96/2.15 (step @p34 :rule symm :premises (@p33)) % 1.96/2.15 (step @p35 :rule cong :premises (@p34) :args ((forall @t12 @t65))) % 1.96/2.15 (step @p36 :rule trans :premises (@p35 @p27)) % 1.96/2.15 (step @p37 :rule aci_norm :args ((= (or (or @t57 @t56) @t64) @t65))) % 1.96/2.15 (step @p38 :rule refl :args (@t64)) % 1.96/2.15 (step @p39 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 1.96/2.15 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t11) @t64))) % 1.96/2.15 (step @p41 :rule trans :premises (@p40 @p37)) % 1.96/2.15 (step @p42 :rule bool-impl-elim :args (@t11 @t64)) % 1.96/2.15 (step @p43 :rule trans :premises (@p42 @p41)) % 1.96/2.15 (step @p44 :rule cong :premises (@p43) :args ((forall @t12 (=> @t11 @t64)))) % 1.96/2.15 (step @p45 :rule trans :premises (@p44 @p36)) % 1.96/2.15 (step @p46 :rule bool-double-not-elim :args (@t63)) % 1.96/2.15 (step @p47 :rule exists-elim :args ((= @t38 (not @t63)))) % 1.96/2.15 (step @p48 :rule cong :premises (@p47) :args (@t39)) % 1.96/2.15 (step @p49 :rule trans :premises (@p48 @p46)) % 1.96/2.15 (step @p50 :rule refl :args (@t30)) % 1.96/2.15 (step @p51 :rule refl :args (@t6)) % 1.96/2.15 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t40)) % 1.96/2.15 (step @p53 :rule refl :args (@t41)) % 1.96/2.15 (step @p54 :rule cong :premises (@p53 @p52) :args (@t42)) % 1.96/2.15 (step @p55 :rule cong :premises (@p54) :args (@t43)) % 1.96/2.15 (step @p56 :rule refl :args (@t11)) % 1.96/2.15 (step @p57 :rule cong :premises (@p56 @p55) :args (@t44)) % 1.96/2.15 (step @p58 :rule cong :premises (@p57) :args (@t45)) % 1.96/2.15 (step @p59 :rule trans :premises (@p58 @p45)) % 1.96/2.15 (step @p60 :rule eq_resolve :premises (@p13 @p59)) % 1.96/2.15 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.xw tptp.xR tptp.xd))) % 1.96/2.15 (step @p62 :rule and_elim :premises (@p22) :args (0)) % 1.96/2.15 (step @p63 :rule cnf_or_pos :args (@t73)) % 1.96/2.15 (step @p64 :rule reordering :premises (@p63) :args ((or @t71 @t72 @t70 (not @t73)))) % 1.96/2.15 (step @p65 :rule chain_m_resolution :premises (@p64 @p15 @p62 @p61) :args (@t70 (@list false false false) (@list @t46 @t47 @t73))) % 1.96/2.15 (step @p66 :rule cnf_equiv_pos1 :args (@t70)) % 1.96/2.15 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t48) @t69 (not @t70)))) % 1.96/2.15 (step @p68 :rule chain_m_resolution :premises (@p67 @p23 @p65) :args (@t69 @t74 (@list @t48 @t70))) % 1.96/2.15 (step @p69 :rule cnf_and_pos :args (@t69 2)) % 1.96/2.15 (step @p70 :rule reordering :premises (@p69) :args ((or @t67 @t75))) % 1.96/2.15 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t67 @t76 @t77)) % 1.96/2.15 (step @p72 :rule aci_norm :args ((= (or @t84 @t82) (or @t57 @t56 @t83 @t82)))) % 1.96/2.15 (step @p73 :rule refl :args (@t82)) % 1.96/2.15 (step @p74 :rule aci_norm :args ((= (or @t57 (or @t56 @t83)) @t84))) % 1.96/2.15 (step @p75 :rule bool-and-de-morgan :args (@t10 @t6 true)) % 1.96/2.15 (step @p76 :rule nary_cong :premises (@p30 @p75) :args ((or @t57 (not (and @t10 @t6))))) % 1.96/2.15 (step @p77 :rule bool-and-de-morgan :args (@t2 @t10 (and @t6))) % 1.96/2.15 (step @p78 :rule trans :premises (@p77 @p76)) % 1.96/2.15 (step @p79 :rule trans :premises (@p78 @p74)) % 1.96/2.15 (step @p80 :rule nary_cong :premises (@p79 @p73) :args ((or @t85 @t82))) % 1.96/2.15 (step @p81 :rule trans :premises (@p80 @p72)) % 1.96/2.15 (step @p82 :rule bool-impl-elim :args (@t15 @t82)) % 1.96/2.15 (step @p83 :rule trans :premises (@p82 @p81)) % 1.96/2.15 (step @p84 :rule cong :premises (@p83) :args ((forall @t16 (=> @t15 @t82)))) % 1.96/2.15 (step @p85 :rule aci_norm :args ((= (or @t80 (or @t79 @t78)) @t81))) % 1.96/2.15 (step @p86 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 1.96/2.15 (step @p87 :rule refl :args (@t80)) % 1.96/2.15 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t80 (not (and @t19 @t18))))) % 1.96/2.15 (step @p89 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18))) % 1.96/2.15 (step @p90 :rule trans :premises (@p89 @p88)) % 1.96/2.15 (step @p91 :rule trans :premises (@p90 @p85)) % 1.96/2.15 (step @p92 :rule cong :premises (@p91) :args (@t86)) % 1.96/2.15 (step @p93 :rule cong :premises (@p92) :args (@t87)) % 1.96/2.15 (step @p94 :rule exists-elim :args ((= @t23 @t87))) % 1.96/2.15 (step @p95 :rule trans :premises (@p94 @p93)) % 1.96/2.15 (step @p96 :rule refl :args (@t8)) % 1.96/2.15 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t24)) % 1.96/2.15 (step @p98 :rule refl :args (@t14)) % 1.96/2.15 (step @p99 :rule cong :premises (@p98 @p97) :args (@t25)) % 1.96/2.15 (step @p100 :rule refl :args (@t15)) % 1.96/2.15 (step @p101 :rule cong :premises (@p100 @p99) :args (@t26)) % 1.96/2.15 (step @p102 :rule cong :premises (@p101) :args (@t27)) % 1.96/2.15 (step @p103 :rule trans :premises (@p102 @p84)) % 1.96/2.15 (step @p104 :rule eq_resolve :premises (@p6 @p103)) % 1.96/2.15 (step @p105 :rule instantiate :premises (@p104) :args (@t88)) % 1.96/2.15 (step @p106 :rule cnf_and_pos :args (@t69 0)) % 1.96/2.15 (step @p107 :rule reordering :premises (@p106) :args ((or @t68 @t75))) % 1.96/2.15 (step @p108 :rule chain_m_resolution :premises (@p107 @p68) :args (@t68 @t76 @t77)) % 1.96/2.15 (step @p109 :rule and_elim :premises (@p24) :args (0)) % 1.96/2.15 (step @p110 :rule cnf_or_pos :args (@t97)) % 1.96/2.15 (step @p111 :rule reordering :premises (@p110) :args ((or @t71 @t95 @t96 @t94 (not @t97)))) % 1.96/2.15 (step @p112 :rule chain_m_resolution :premises (@p111 @p15 @p109 @p108 @p105) :args (@t94 @t98 (@list @t46 @t51 @t68 @t97))) % 1.96/2.15 (step @p113 :rule aci_norm :args ((= (or @t84 @t31) (or @t57 @t56 @t83 @t31)))) % 1.96/2.15 (step @p114 :rule refl :args (@t31)) % 1.96/2.15 (step @p115 :rule nary_cong :premises (@p79 @p114) :args ((or @t85 @t31))) % 1.96/2.15 (step @p116 :rule trans :premises (@p115 @p113)) % 1.96/2.15 (step @p117 :rule bool-impl-elim :args (@t15 @t31)) % 1.96/2.15 (step @p118 :rule trans :premises (@p117 @p116)) % 1.96/2.15 (step @p119 :rule cong :premises (@p118) :args (@t32)) % 1.96/2.15 (step @p120 :rule eq_resolve :premises (@p8 @p119)) % 1.96/2.15 (step @p121 :rule instantiate :premises (@p120) :args (@t88)) % 1.96/2.15 (step @p122 :rule cnf_or_pos :args (@t102)) % 1.96/2.15 (step @p123 :rule reordering :premises (@p122) :args ((or @t71 @t95 @t96 @t101 (not @t102)))) % 1.96/2.15 (step @p124 :rule chain_m_resolution :premises (@p123 @p15 @p109 @p108 @p121) :args (@t101 @t98 (@list @t46 @t51 @t68 @t102))) % 1.96/2.15 (step @p125 :rule and_elim :premises (@p24) :args (2)) % 1.96/2.15 (step @p126 :rule cnf_equiv_pos1 :args (@t101)) % 1.96/2.15 (step @p127 :rule reordering :premises (@p126) :args ((or (not @t49) @t100 (not @t101)))) % 1.96/2.15 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p124) :args (@t100 @t74 (@list @t49 @t101))) % 1.96/2.15 (step @p129 :rule and_elim :premises (@p24) :args (1)) % 1.96/2.15 (step @p130 :rule refl :args (@t103)) % 1.96/2.15 (step @p131 :rule bool-double-not-elim :args (@t52)) % 1.96/2.15 (step @p132 :rule refl :args (@t104)) % 1.96/2.15 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args ((or @t104 (not @t53) @t103))) % 1.96/2.15 (assume-push @p198 @t53) % 1.96/2.15 (assume-push @p199 @t99) % 1.96/2.15 (assume-push @p200 @t50) % 1.96/2.15 (step @p137 :rule evaluate :args ((= true false))) % 1.96/2.15 (step @p138 :rule false_intro :premises (@p25)) % 1.96/2.15 (step @p139 :rule symm :premises (@p199)) % 1.96/2.15 (step @p140 :rule refl :args (tptp.xR)) % 1.96/2.15 (step @p141 :rule refl :args (tptp.xb)) % 1.96/2.15 (step @p142 :rule cong :premises (@p141 @p140 @p139) :args (@t50)) % 1.96/2.15 (step @p143 :rule true_intro :premises (@p129)) % 1.96/2.15 (step @p144 :rule symm :premises (@p143)) % 1.96/2.15 (step @p145 :rule trans :premises (@p144 @p142 @p138)) % 1.96/2.15 (step @p146 false :rule eq_resolve :premises (@p145 @p137)) % 1.96/2.15 (step-pop @p201 :rule scope :premises (@p146)) % 1.96/2.15 (step-pop @p202 :rule scope :premises (@p201)) % 1.96/2.15 (step-pop @p203 :rule scope :premises (@p202)) % 1.96/2.15 (step @p147 :rule process_scope :premises (@p203) :args (false)) % 1.96/2.15 (assume-push @p204 @t50) % 1.96/2.15 (assume-push @p205 @t53) % 1.96/2.15 (assume-push @p206 @t99) % 1.96/2.15 (step @p154 :rule and_intro :premises (@p25 @p206 @p129)) % 1.96/2.15 (step-pop @p207 :rule scope :premises (@p154)) % 1.96/2.15 (step-pop @p208 :rule scope :premises (@p207)) % 1.96/2.15 (step-pop @p209 :rule scope :premises (@p208)) % 1.96/2.15 (step @p155 :rule process_scope :premises (@p209) :args (@t105)) % 1.96/2.15 (step @p159 :rule implies_elim :premises (@p155)) % 1.96/2.15 (step @p160 :rule resolution :premises (@p159 @p147) :args (true @t105)) % 1.96/2.15 (step @p161 :rule not_and :premises (@p160)) % 1.96/2.15 (step @p162 :rule eq_resolve :premises (@p161 @p133)) % 1.96/2.15 (step @p163 :rule reordering :premises (@p162) :args ((or @t52 @t104 @t103))) % 1.96/2.15 (step @p164 :rule chain_m_resolution :premises (@p163 @p25 @p129) :args (@t103 @t106 (@list @t52 @t50))) % 1.96/2.15 (step @p165 :rule cnf_or_pos :args (@t100)) % 1.96/2.15 (step @p166 :rule reordering :premises (@p165) :args ((or @t99 @t93 (not @t100)))) % 1.96/2.15 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p128) :args (@t93 @t106 (@list @t99 @t100))) % 1.96/2.15 (step @p168 :rule cnf_equiv_pos1 :args (@t94)) % 1.96/2.17 (step @p169 :rule reordering :premises (@p168) :args ((or (not @t93) @t92 (not @t94)))) % 1.96/2.17 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p112) :args (@t92 @t74 (@list @t93 @t94))) % 1.96/2.17 (step @p171 :rule instantiate :premises (@p71) :args ((@list @t107))) % 1.96/2.17 (step @p172 :rule bool-double-not-elim :args (@t108)) % 1.96/2.17 (step @p173 :rule refl :args (@t110)) % 1.96/2.17 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t110 (not @t109)))) % 1.96/2.17 (step @p175 :rule cnf_or_neg :args (@t110 1)) % 1.96/2.17 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 1.96/2.17 (step @p177 :rule reordering :premises (@p176) :args ((or @t108 @t110))) % 1.96/2.17 (step @p178 :rule chain_m_resolution :premises (@p177 @p171) :args (@t110 (@list true) (@list @t108))) % 1.96/2.17 (step @p179 :rule refl :args (@t111)) % 1.96/2.17 (step @p180 :rule bool-double-not-elim :args (@t89)) % 1.96/2.17 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or (not @t90) @t111))) % 1.96/2.17 (assume-push @p210 @t90) % 1.96/2.17 (step @p183 :rule skolemize :premises (@p210)) % 1.96/2.17 (step-pop @p211 :rule scope :premises (@p183)) % 1.96/2.17 (step @p184 :rule process_scope :premises (@p211) :args (@t111)) % 1.96/2.17 (step @p186 :rule implies_elim :premises (@p184)) % 1.96/2.17 (step @p187 :rule eq_resolve :premises (@p186 @p181)) % 1.96/2.17 (step @p188 :rule chain_m_resolution :premises (@p187 @p178) :args (@t89 @t76 (@list @t110))) % 1.96/2.17 (step @p189 :rule cnf_or_pos :args (@t92)) % 1.96/2.17 (step @p190 :rule reordering :premises (@p189) :args ((or @t91 @t90 (not @t92)))) % 1.96/2.17 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p170) :args (@t91 @t74 (@list @t89 @t92))) % 1.96/2.17 (assume-push @p212 @t67) % 1.96/2.17 (step @p193 :rule instantiate :premises (@p71) :args ((@list tptp.xx))) % 1.96/2.17 (step-pop @p213 :rule scope :premises (@p193)) % 1.96/2.17 (step @p194 :rule process_scope :premises (@p213) :args ((not @t91))) % 1.96/2.17 (step @p196 :rule implies_elim :premises (@p194)) % 1.96/2.17 (step @p197 false :rule chain_m_resolution :premises (@p196 @p191 @p71) :args (false @t74 (@list @t91 @t67))) % 1.96/2.17 ) % 1.96/2.17 % SZS output end Proof % 1.96/2.17 % cvc5 exiting %------------------------------------------------------------------------------