%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM021+4 : 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 : 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 08:10:26 AM UTC 2026 % Result : Theorem 0.52s 0.78s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM021+4 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 : Mon Jun 1 20:28:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.78 % SZS status Theorem % 0.52/0.78 % SZS output start Proof % 0.52/0.78 ( % 0.52/0.78 (declare-sort $$unsorted 0) % 0.52/0.78 (declare-const tptp.xx $$unsorted) % 0.52/0.78 (declare-const tptp.xv $$unsorted) % 0.52/0.78 (declare-const tptp.xu $$unsorted) % 0.52/0.78 (declare-const tptp.xa $$unsorted) % 0.52/0.78 (declare-const tptp.xw $$unsorted) % 0.52/0.78 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.isConfluent0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.xR $$unsorted) % 0.52/0.78 (declare-const tptp.isTerminating0 (-> $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.78 (declare-const tptp.xd $$unsorted) % 0.52/0.78 (declare-const tptp.xc $$unsorted) % 0.52/0.78 (declare-const tptp.xb $$unsorted) % 0.52/0.78 (define @t1 () (@var "W0" $$unsorted)) % 0.52/0.78 (define @t2 () (tptp.aElement0 @t1)) % 0.52/0.78 (define @t3 () (@list @t1)) % 0.52/0.78 (define @t4 () (tptp.aRewritingSystem0 @t1)) % 0.52/0.78 (define @t5 () (@var "W2" $$unsorted)) % 0.52/0.78 (define @t6 () (tptp.aElement0 @t5)) % 0.52/0.78 (define @t7 () (@var "W1" $$unsorted)) % 0.52/0.78 (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7)) % 0.52/0.78 (define @t9 () (@list @t5)) % 0.52/0.78 (define @t10 () (tptp.aRewritingSystem0 @t7)) % 0.52/0.78 (define @t11 () (and @t2 @t10)) % 0.52/0.78 (define @t12 () (@list @t1 @t7)) % 0.52/0.78 (define @t13 () (tptp.aElement0 @t7)) % 0.52/0.78 (define @t14 () (and @t2 @t13)) % 0.52/0.78 (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5)) % 0.52/0.78 (define @t16 () (and @t2 @t10 @t6)) % 0.52/0.78 (define @t17 () (@list @t1 @t7 @t5)) % 0.52/0.78 (define @t18 () (@var "W3" $$unsorted)) % 0.52/0.78 (define @t19 () (tptp.aElement0 @t18)) % 0.52/0.78 (define @t20 () (@list @t18)) % 0.52/0.78 (define @t21 () (and @t2 @t10 @t6 @t19)) % 0.52/0.78 (define @t22 () (@list @t1 @t7 @t5 @t18)) % 0.52/0.78 (define @t23 () (= @t1 @t5)) % 0.52/0.78 (define @t24 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5)) % 0.52/0.78 (define @t25 () (@var "W4" $$unsorted)) % 0.52/0.78 (define @t26 () (tptp.aElement0 @t25)) % 0.52/0.78 (define @t27 () (@list @t25)) % 0.52/0.78 (define @t28 () (exists @t27 (and @t26 (tptp.sdtmndtasgtdt0 @t5 @t1 @t25) (tptp.sdtmndtasgtdt0 @t18 @t1 @t25)))) % 0.52/0.78 (define @t29 () (@list @t7 @t5 @t18)) % 0.52/0.78 (define @t30 () (tptp.isTerminating0 @t1)) % 0.52/0.78 (define @t31 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7)) % 0.52/0.78 (define @t32 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR)) % 0.52/0.78 (define @t33 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR)) % 0.52/0.78 (define @t34 () (tptp.sdtmndtplgtdt0 @t25 tptp.xR @t18)) % 0.52/0.78 (define @t35 () (exists @t20 (and @t19 (or (= @t7 @t18) (and (or (tptp.aReductOfIn0 @t18 @t7 tptp.xR) (exists @t27 (and @t26 (tptp.aReductOfIn0 @t25 @t7 tptp.xR) @t34))) (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t18))) (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t18) (or (= @t5 @t18) (and (or (tptp.aReductOfIn0 @t18 @t5 tptp.xR) (exists @t27 (and @t26 (tptp.aReductOfIn0 @t25 @t5 tptp.xR) @t34))) (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t18))) (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t18)))) % 0.52/0.78 (define @t36 () (tptp.aReductOfIn0 @t18 @t1 tptp.xR)) % 0.52/0.78 (define @t37 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xc)) % 0.52/0.78 (define @t38 () (tptp.aReductOfIn0 @t1 tptp.xa tptp.xR)) % 0.52/0.78 (define @t39 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xb)) % 0.52/0.78 (define @t40 () (tptp.aReductOfIn0 @t1 tptp.xu tptp.xR)) % 0.52/0.78 (define @t41 () (tptp.aReductOfIn0 @t1 tptp.xv tptp.xR)) % 0.52/0.78 (define @t42 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xw)) % 0.52/0.78 (define @t43 () (tptp.aReductOfIn0 @t1 tptp.xd tptp.xR)) % 0.52/0.78 (define @t44 () (exists @t3 @t43)) % 0.52/0.78 (define @t45 () (not @t44)) % 0.52/0.78 (define @t46 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xd)) % 0.52/0.78 (define @t47 () (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR tptp.xx)) % 0.52/0.78 (define @t48 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xx)) % 0.52/0.78 (define @t49 () (and @t2 @t43 @t48)) % 0.52/0.78 (define @t50 () (exists @t3 @t49)) % 0.52/0.78 (define @t51 () (tptp.aReductOfIn0 tptp.xx tptp.xd tptp.xR)) % 0.52/0.78 (define @t52 () (or @t51 @t50)) % 0.52/0.78 (define @t53 () (and @t52 @t47)) % 0.52/0.78 (define @t54 () (= tptp.xd tptp.xx)) % 0.52/0.78 (define @t55 () (or @t54 @t53)) % 0.52/0.78 (define @t56 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xx)) % 0.52/0.78 (define @t57 () (tptp.aReductOfIn0 @t1 tptp.xb tptp.xR)) % 0.52/0.78 (define @t58 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd)) % 0.52/0.78 (define @t59 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xd)) % 0.52/0.78 (define @t60 () (and @t2 @t57 @t46)) % 0.52/0.78 (define @t61 () (exists @t3 @t60)) % 0.52/0.78 (define @t62 () (tptp.aReductOfIn0 tptp.xd tptp.xb tptp.xR)) % 0.52/0.78 (define @t63 () (= tptp.xb tptp.xd)) % 0.52/0.78 (define @t64 () (or @t63 @t62 @t61 @t59 @t58)) % 0.52/0.78 (define @t65 () (not @t64)) % 0.52/0.78 (define @t66 () (not @t43)) % 0.52/0.78 (define @t67 () (forall @t3 @t66)) % 0.52/0.78 (define @t68 () (not @t46)) % 0.52/0.78 (define @t69 () (not @t57)) % 0.52/0.78 (define @t70 () (not @t2)) % 0.52/0.78 (define @t71 () (forall @t3 (not @t60))) % 0.52/0.78 (define @t72 () (not @t71)) % 0.52/0.78 (define @t73 () (not @t54)) % 0.52/0.78 (define @t74 () (not @t56)) % 0.52/0.78 (define @t75 () (not @t58)) % 0.52/0.78 (define @t76 () (and @t75 @t54 @t56)) % 0.52/0.78 (define @t77 () (not @t48)) % 0.52/0.78 (define @t78 () (or @t70 @t66 @t77)) % 0.52/0.78 (define @t79 () (forall @t3 (not @t49))) % 0.52/0.78 (define @t80 () (not @t79)) % 0.52/0.78 (define @t81 () (forall @t3 @t78)) % 0.52/0.78 (define @t82 () (not @t81)) % 0.52/0.78 (define @t83 () (or @t51 @t82)) % 0.52/0.78 (define @t84 () (and @t83 @t47)) % 0.52/0.78 (define @t85 () (@list true)) % 0.52/0.78 (define @t86 () (@list false)) % 0.52/0.78 (define @t87 () (@quantifiers_skolemize @t81 0)) % 0.52/0.78 (define @t88 () (tptp.aReductOfIn0 @t87 tptp.xd tptp.xR)) % 0.52/0.78 (define @t89 () (not @t88)) % 0.52/0.78 (define @t90 () (or (not (tptp.aElement0 @t87)) @t89 (not (tptp.sdtmndtplgtdt0 @t87 tptp.xR tptp.xx)))) % 0.52/0.78 (define @t91 () (not @t90)) % 0.52/0.78 (define @t92 () (@list false false)) % 0.52/0.78 (assume @p1 (forall @t3 (=> @t2 true))) % 0.52/0.78 (assume @p2 (forall @t3 (=> @t4 true))) % 0.52/0.78 (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6))))) % 0.52/0.78 (assume @p4 (forall @t12 (=> @t14 (=> (tptp.iLess0 @t1 @t7) true)))) % 0.52/0.78 (assume @p5 (forall @t17 (=> @t16 (=> @t15 true)))) % 0.52/0.78 (assume @p6 (forall @t17 (=> @t16 (= @t15 (or @t8 (exists @t20 (and @t19 (tptp.aReductOfIn0 @t18 @t1 @t7) (tptp.sdtmndtplgtdt0 @t18 @t7 @t5)))))))) % 0.52/0.78 (assume @p7 (forall @t22 (=> @t21 (=> (and @t15 (tptp.sdtmndtplgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t18))))) % 0.52/0.78 (assume @p8 (forall @t17 (=> @t16 (= @t24 (or @t23 @t15))))) % 0.52/0.78 (assume @p9 (forall @t22 (=> @t21 (=> (and @t24 (tptp.sdtmndtasgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t18))))) % 0.52/0.78 (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t29 (=> (and @t13 @t6 @t19 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t18)) @t28)))))) % 0.52/0.78 (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t29 (=> (and @t13 @t6 @t19 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t18 @t7 @t1)) @t28)))))) % 0.52/0.78 (assume @p12 (forall @t3 (=> @t4 (= @t30 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7)))))))) % 0.52/0.78 (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t24 (not (exists @t20 (tptp.aReductOfIn0 @t18 @t5 @t7))))))))) % 0.52/0.78 (assume @p14 (forall @t3 (=> (and @t4 @t30) (forall (@list @t7) (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1))))))) % 0.52/0.78 (assume @p15 (tptp.aRewritingSystem0 tptp.xR)) % 0.52/0.78 (assume @p16 (and (forall @t17 (=> (and @t2 @t13 @t6 @t33 @t32) @t35)) (tptp.isLocallyConfluent0 tptp.xR) (forall @t12 (=> @t14 (=> (or @t33 (exists @t9 (and @t6 @t32 (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t7))) @t31) (tptp.iLess0 @t7 @t1)))) (tptp.isTerminating0 tptp.xR))) % 0.52/0.78 (assume @p17 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb) (tptp.aElement0 tptp.xc))) % 0.52/0.78 (assume @p18 (forall @t17 (=> (and @t2 @t13 @t6 (or (= @t1 @t7) @t33 (exists @t20 (and @t19 @t36 (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t7))) @t31 (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7)) (or @t23 @t32 (exists @t20 (and @t19 @t36 (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t5))) (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t5) (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5))) (=> (tptp.iLess0 @t1 tptp.xa) @t35)))) % 0.52/0.78 (assume @p19 (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists @t3 (and @t2 @t38 @t39))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (or (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR) (exists @t3 (and @t2 @t38 @t37))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc))) % 0.52/0.78 (assume @p20 (and (tptp.aElement0 tptp.xu) (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR) (or (= tptp.xu tptp.xb) (and (or (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR) (exists @t3 (and @t2 @t40 @t39))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb))) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))) % 0.52/0.78 (assume @p21 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists @t3 (and @t2 @t41 @t37))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc))) % 0.52/0.78 (assume @p22 (and (tptp.aElement0 tptp.xw) (or (= tptp.xu tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xu tptp.xR) (exists @t3 (and @t2 @t40 @t42))) (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw) (or (= tptp.xv tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xv tptp.xR) (exists @t3 (and @t2 @t41 @t42))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw))) % 0.52/0.78 (assume @p23 (and (tptp.aElement0 tptp.xd) (or (= tptp.xw tptp.xd) (and (or (tptp.aReductOfIn0 tptp.xd tptp.xw tptp.xR) (exists @t3 (and @t2 (tptp.aReductOfIn0 @t1 tptp.xw tptp.xR) @t46))) (tptp.sdtmndtplgtdt0 tptp.xw tptp.xR tptp.xd))) (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd) @t45 (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR))) % 0.52/0.78 (assume @p24 (and (tptp.aElement0 tptp.xx) (or (= tptp.xb tptp.xx) (and (or (tptp.aReductOfIn0 tptp.xx tptp.xb tptp.xR) (exists @t3 (and @t2 @t57 @t48))) (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xx))) @t56 @t55 (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR tptp.xx))) % 0.52/0.78 (assume @p25 @t65) % 0.52/0.78 (assume @p26 true) % 0.52/0.78 (step @p27 :rule bool-double-not-elim :args (@t67)) % 0.52/0.78 (step @p28 :rule exists-elim :args ((= @t44 (not @t67)))) % 0.52/0.78 (step @p29 :rule cong :premises (@p28) :args (@t45)) % 0.52/0.78 (step @p30 :rule trans :premises (@p29 @p27)) % 0.52/0.78 (step @p31 :rule and_elim :premises (@p23) :args (3)) % 0.52/0.78 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.52/0.78 (step @p33 :rule and_elim :premises (@p24) :args (2)) % 0.52/0.78 (step @p34 :rule refl :args (@t58)) % 0.52/0.78 (step @p35 :rule refl :args (@t59)) % 0.52/0.78 (step @p36 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) (or @t70 @t69 @t68)))) % 0.52/0.78 (step @p37 :rule bool-and-de-morgan :args (@t57 @t46 true)) % 0.52/0.78 (step @p38 :rule refl :args (@t70)) % 0.52/0.78 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t70 (not (and @t57 @t46))))) % 0.52/0.78 (step @p40 :rule bool-and-de-morgan :args (@t2 @t57 (and @t46))) % 0.52/0.78 (step @p41 :rule trans :premises (@p40 @p39)) % 0.52/0.78 (step @p42 :rule trans :premises (@p41 @p36)) % 0.52/0.78 (step @p43 :rule cong :premises (@p42) :args (@t71)) % 0.52/0.78 (step @p44 :rule cong :premises (@p43) :args (@t72)) % 0.52/0.78 (step @p45 :rule exists-elim :args ((= @t61 @t72))) % 0.52/0.78 (step @p46 :rule trans :premises (@p45 @p44)) % 0.52/0.78 (step @p47 :rule refl :args (@t62)) % 0.52/0.78 (step @p48 :rule refl :args (@t63)) % 0.52/0.78 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p35 @p34) :args (@t64)) % 0.52/0.78 (step @p50 :rule cong :premises (@p49) :args (@t65)) % 0.52/0.78 (step @p51 :rule eq_resolve :premises (@p25 @p50)) % 0.52/0.78 (step @p52 :rule not_or_elim :premises (@p51) :args (4)) % 0.52/0.78 (step @p53 :rule bool-double-not-elim :args (@t58)) % 0.52/0.78 (step @p54 :rule refl :args (@t73)) % 0.52/0.78 (step @p55 :rule refl :args (@t74)) % 0.52/0.78 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t74 @t73 (not @t75)))) % 0.52/0.78 (assume-push @p137 @t75) % 0.52/0.78 (assume-push @p138 @t54) % 0.52/0.78 (assume-push @p139 @t56) % 0.52/0.78 (step @p60 :rule evaluate :args ((= true false))) % 0.52/0.78 (step @p61 :rule false_intro :premises (@p52)) % 0.52/0.78 (step @p62 :rule symm :premises (@p138)) % 0.52/0.78 (step @p63 :rule refl :args (tptp.xR)) % 0.52/0.78 (step @p64 :rule refl :args (tptp.xb)) % 0.52/0.78 (step @p65 :rule cong :premises (@p64 @p63 @p62) :args (@t56)) % 0.52/0.78 (step @p66 :rule true_intro :premises (@p33)) % 0.52/0.78 (step @p67 :rule symm :premises (@p66)) % 0.52/0.78 (step @p68 :rule trans :premises (@p67 @p65 @p61)) % 0.52/0.78 (step @p69 false :rule eq_resolve :premises (@p68 @p60)) % 0.52/0.78 (step-pop @p140 :rule scope :premises (@p69)) % 0.52/0.78 (step-pop @p141 :rule scope :premises (@p140)) % 0.52/0.78 (step-pop @p142 :rule scope :premises (@p141)) % 0.52/0.78 (step @p70 :rule process_scope :premises (@p142) :args (false)) % 0.52/0.78 (assume-push @p143 @t56) % 0.52/0.78 (assume-push @p144 @t54) % 0.52/0.78 (assume-push @p145 @t75) % 0.52/0.78 (step @p77 :rule and_intro :premises (@p52 @p144 @p33)) % 0.52/0.78 (step-pop @p146 :rule scope :premises (@p77)) % 0.52/0.78 (step-pop @p147 :rule scope :premises (@p146)) % 0.52/0.78 (step-pop @p148 :rule scope :premises (@p147)) % 0.52/0.78 (step @p78 :rule process_scope :premises (@p148) :args (@t76)) % 0.52/0.78 (step @p82 :rule implies_elim :premises (@p78)) % 0.52/0.78 (step @p83 :rule resolution :premises (@p82 @p70) :args (true @t76)) % 0.52/0.78 (step @p84 :rule not_and :premises (@p83)) % 0.52/0.78 (step @p85 :rule eq_resolve :premises (@p84 @p56)) % 0.52/0.78 (step @p86 :rule reordering :premises (@p85) :args ((or @t58 @t74 @t73))) % 0.52/0.78 (step @p87 :rule chain_m_resolution :premises (@p86 @p52 @p33) :args (@t73 (@list true false) (@list @t58 @t56))) % 0.52/0.78 (step @p88 :rule refl :args (@t47)) % 0.52/0.78 (step @p89 :rule aci_norm :args ((= (or @t70 (or @t66 @t77)) @t78))) % 0.52/0.78 (step @p90 :rule bool-and-de-morgan :args (@t43 @t48 true)) % 0.52/0.78 (step @p91 :rule nary_cong :premises (@p38 @p90) :args ((or @t70 (not (and @t43 @t48))))) % 0.52/0.78 (step @p92 :rule bool-and-de-morgan :args (@t2 @t43 (and @t48))) % 0.52/0.78 (step @p93 :rule trans :premises (@p92 @p91)) % 0.52/0.78 (step @p94 :rule trans :premises (@p93 @p89)) % 0.52/0.78 (step @p95 :rule cong :premises (@p94) :args (@t79)) % 0.52/0.78 (step @p96 :rule cong :premises (@p95) :args (@t80)) % 0.52/0.78 (step @p97 :rule exists-elim :args ((= @t50 @t80))) % 0.52/0.78 (step @p98 :rule trans :premises (@p97 @p96)) % 0.52/0.78 (step @p99 :rule refl :args (@t51)) % 0.52/0.78 (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t52)) % 0.52/0.78 (step @p101 :rule nary_cong :premises (@p100 @p88) :args (@t53)) % 0.52/0.78 (step @p102 :rule refl :args (@t54)) % 0.52/0.78 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t55)) % 0.52/0.78 (step @p104 :rule and_elim :premises (@p24) :args (3)) % 0.52/0.78 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.52/0.78 (step @p106 :rule chain_m_resolution :premises (@p105 @p87) :args (@t84 @t85 (@list @t54))) % 0.52/0.78 (step @p107 :rule cnf_and_pos :args (@t84 0)) % 0.52/0.78 (step @p108 :rule reordering :premises (@p107) :args ((or @t83 (not @t84)))) % 0.52/0.78 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t83 @t86 (@list @t84))) % 0.52/0.78 (step @p110 :rule instantiate :premises (@p32) :args ((@list @t87))) % 0.52/0.78 (step @p111 :rule bool-double-not-elim :args (@t88)) % 0.52/0.78 (step @p112 :rule refl :args (@t90)) % 0.52/0.78 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t90 (not @t89)))) % 0.52/0.78 (step @p114 :rule cnf_or_neg :args (@t90 1)) % 0.52/0.78 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.52/0.78 (step @p116 :rule reordering :premises (@p115) :args ((or @t88 @t90))) % 0.52/0.78 (step @p117 :rule chain_m_resolution :premises (@p116 @p110) :args (@t90 @t85 (@list @t88))) % 0.52/0.78 (step @p118 :rule refl :args (@t91)) % 0.52/0.78 (step @p119 :rule bool-double-not-elim :args (@t81)) % 0.52/0.78 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t82) @t91))) % 0.52/0.78 (assume-push @p149 @t82) % 0.52/0.78 (step @p122 :rule skolemize :premises (@p149)) % 0.52/0.78 (step-pop @p150 :rule scope :premises (@p122)) % 0.52/0.78 (step @p123 :rule process_scope :premises (@p150) :args (@t91)) % 0.52/0.78 (step @p125 :rule implies_elim :premises (@p123)) % 0.52/0.78 (step @p126 :rule eq_resolve :premises (@p125 @p120)) % 0.52/0.78 (step @p127 :rule chain_m_resolution :premises (@p126 @p117) :args (@t81 @t86 (@list @t90))) % 0.52/0.78 (step @p128 :rule cnf_or_pos :args (@t83)) % 0.52/0.78 (step @p129 :rule reordering :premises (@p128) :args ((or @t51 @t82 (not @t83)))) % 0.52/0.78 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p109) :args (@t51 @t92 (@list @t81 @t83))) % 0.52/0.78 (assume-push @p151 @t67) % 0.52/0.78 (step @p132 :rule instantiate :premises (@p32) :args ((@list tptp.xx))) % 0.52/0.78 (step-pop @p152 :rule scope :premises (@p132)) % 0.52/0.78 (step @p133 :rule process_scope :premises (@p152) :args ((not @t51))) % 0.52/0.78 (step @p135 :rule implies_elim :premises (@p133)) % 0.52/0.78 (step @p136 false :rule chain_m_resolution :premises (@p135 @p130 @p32) :args (false @t92 (@list @t51 @t67))) % 0.52/0.78 ) % 0.52/0.78 % SZS output end Proof % 0.52/0.78 % cvc5 exiting %------------------------------------------------------------------------------