%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU128+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:50:38 AM UTC 2026 % Result : Theorem 33.66s 33.95s % Output : Proof 33.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU128+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:31:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.66/33.95 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.66/33.95 --- Run --no-e-matching --full-saturate-quant at 6... % 33.66/33.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.66/33.95 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.66/33.95 % SZS status Theorem % 33.66/33.95 % SZS output start Proof % 33.66/33.95 ( % 33.66/33.95 (declare-sort $$unsorted 0) % 33.66/33.95 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.66/33.95 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.66/33.95 (declare-const tptp.empty_set $$unsorted) % 33.66/33.95 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.66/33.95 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.66/33.95 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.66/33.95 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.66/33.95 (define @t1 () (@var "A" $$unsorted)) % 33.66/33.95 (define @t2 () (@var "B" $$unsorted)) % 33.66/33.95 (define @t3 () (not (tptp.in @t2 @t1))) % 33.66/33.95 (define @t4 () (tptp.in @t1 @t2)) % 33.66/33.95 (define @t5 () (@list @t1 @t2)) % 33.66/33.95 (define @t6 () (tptp.set_union2 @t2 @t1)) % 33.66/33.95 (define @t7 () (tptp.set_union2 @t1 @t2)) % 33.66/33.95 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 33.66/33.95 (define @t9 () (tptp.subset @t1 @t2)) % 33.66/33.95 (define @t10 () (= @t1 @t2)) % 33.66/33.95 (define @t11 () (= @t1 tptp.empty_set)) % 33.66/33.95 (define @t12 () (@list @t1)) % 33.66/33.95 (define @t13 () (@var "D" $$unsorted)) % 33.66/33.95 (define @t14 () (tptp.in @t13 @t2)) % 33.66/33.95 (define @t15 () (tptp.in @t13 @t1)) % 33.66/33.95 (define @t16 () (@var "C" $$unsorted)) % 33.66/33.95 (define @t17 () (tptp.in @t13 @t16)) % 33.66/33.95 (define @t18 () (@list @t13)) % 33.66/33.95 (define @t19 () (forall @t18 (= @t17 (or @t15 @t14)))) % 33.66/33.95 (define @t20 () (= (= @t16 @t7) @t19)) % 33.66/33.95 (define @t21 () (@list @t1 @t2 @t16)) % 33.66/33.95 (define @t22 () (forall @t21 @t20)) % 33.66/33.95 (define @t23 () (tptp.in @t16 @t2)) % 33.66/33.95 (define @t24 () (tptp.in @t16 @t1)) % 33.66/33.95 (define @t25 () (@list @t16)) % 33.66/33.95 (define @t26 () (forall @t25 (=> @t24 @t23))) % 33.66/33.95 (define @t27 () (= @t9 @t26)) % 33.66/33.95 (define @t28 () (forall @t5 @t27)) % 33.66/33.95 (define @t29 () (forall @t18 (= @t17 (and @t15 @t14)))) % 33.66/33.95 (define @t30 () (= (= @t16 @t8) @t29)) % 33.66/33.95 (define @t31 () (forall @t21 @t30)) % 33.66/33.95 (define @t32 () (tptp.disjoint @t1 @t2)) % 33.66/33.95 (define @t33 () (tptp.empty @t1)) % 33.66/33.95 (define @t34 () (not @t33)) % 33.66/33.95 (define @t35 () (=> @t9 (= @t7 @t2))) % 33.66/33.95 (define @t36 () (forall @t5 @t35)) % 33.66/33.95 (define @t37 () (tptp.subset @t1 (tptp.set_intersection2 @t2 @t16))) % 33.66/33.95 (define @t38 () (tptp.subset @t1 @t16)) % 33.66/33.95 (define @t39 () (and @t9 @t38)) % 33.66/33.95 (define @t40 () (forall @t21 (=> @t39 @t37))) % 33.66/33.95 (define @t41 () (not @t40)) % 33.66/33.95 (define @t42 () (and @t24 @t23)) % 33.66/33.95 (define @t43 () (not @t32)) % 33.66/33.95 (define @t44 () (tptp.in @t16 @t8)) % 33.66/33.95 (define @t45 () (tptp.empty @t2)) % 33.66/33.95 (define @t46 () (not @t38)) % 33.66/33.95 (define @t47 () (not @t9)) % 33.66/33.95 (define @t48 () (or @t47 @t46 @t37)) % 33.66/33.95 (define @t49 () (forall @t21 @t48)) % 33.66/33.95 (define @t50 () (@quantifiers_skolemize @t49 1)) % 33.66/33.95 (define @t51 () (@quantifiers_skolemize @t49 0)) % 33.66/33.95 (define @t52 () (tptp.subset @t51 @t50)) % 33.66/33.95 (define @t53 () (@quantifiers_skolemize @t49 2)) % 33.66/33.95 (define @t54 () (tptp.set_intersection2 @t50 @t53)) % 33.66/33.95 (define @t55 () (tptp.subset @t51 @t54)) % 33.66/33.95 (define @t56 () (tptp.subset @t51 @t53)) % 33.66/33.95 (define @t57 () (not @t56)) % 33.66/33.95 (define @t58 () (not @t52)) % 33.66/33.95 (define @t59 () (or @t58 @t57 @t55)) % 33.66/33.95 (define @t60 () (@list true)) % 33.66/33.95 (define @t61 () (@list @t59)) % 33.66/33.95 (define @t62 () (not (tptp.in @t16 @t51))) % 33.66/33.95 (define @t63 () (forall @t25 (or @t62 (tptp.in @t16 @t50)))) % 33.66/33.95 (define @t64 () (= @t52 @t63)) % 33.66/33.95 (define @t65 () (@list false false)) % 33.66/33.95 (define @t66 () (= @t7 @t16)) % 33.66/33.95 (define @t67 () (tptp.in @t13 @t53)) % 33.66/33.95 (define @t68 () (forall @t18 (= @t67 (or (tptp.in @t13 @t51) @t67)))) % 33.66/33.95 (define @t69 () (tptp.set_union2 @t51 @t53)) % 33.66/33.95 (define @t70 () (= @t69 @t53)) % 33.66/33.95 (define @t71 () (forall @t21 (= @t19 @t66))) % 33.66/33.95 (define @t72 () (= @t68 @t70)) % 33.66/33.95 (define @t73 () (= @t53 @t69)) % 33.66/33.95 (define @t74 () (= @t73 @t68)) % 33.66/33.95 (define @t75 () (@list false)) % 33.66/33.95 (define @t76 () (= @t2 @t7)) % 33.66/33.95 (define @t77 () (or @t57 @t73)) % 33.66/33.95 (define @t78 () (forall @t25 (or @t62 (tptp.in @t16 @t54)))) % 33.66/33.95 (define @t79 () (@quantifiers_skolemize @t78 0)) % 33.66/33.95 (define @t80 () (@list @t79)) % 33.66/33.95 (define @t81 () (= @t55 @t78)) % 33.66/33.95 (define @t82 () (not @t78)) % 33.66/33.95 (define @t83 () (@list true false)) % 33.66/33.95 (define @t84 () (tptp.in @t79 @t51)) % 33.66/33.95 (define @t85 () (tptp.in @t79 @t54)) % 33.66/33.95 (define @t86 () (not @t84)) % 33.66/33.95 (define @t87 () (or @t86 @t85)) % 33.66/33.95 (define @t88 () (@list @t87)) % 33.66/33.95 (define @t89 () (tptp.in @t79 @t53)) % 33.66/33.95 (define @t90 () (or @t84 @t89)) % 33.66/33.95 (define @t91 () (= @t89 @t90)) % 33.66/33.95 (define @t92 () (= @t8 @t16)) % 33.66/33.95 (define @t93 () (tptp.in @t13 @t54)) % 33.66/33.95 (define @t94 () (and @t67 (tptp.in @t13 @t50))) % 33.66/33.95 (define @t95 () (forall @t18 (= @t93 @t94))) % 33.66/33.95 (define @t96 () (tptp.set_intersection2 @t53 @t50)) % 33.66/33.95 (define @t97 () (= @t96 @t54)) % 33.66/33.95 (define @t98 () (forall @t21 (= @t29 @t92))) % 33.66/33.95 (define @t99 () (= @t95 @t97)) % 33.66/33.95 (define @t100 () (forall @t18 (= @t94 @t93))) % 33.66/33.95 (define @t101 () (= @t54 @t96)) % 33.66/33.95 (define @t102 () (= @t101 @t100)) % 33.66/33.95 (define @t103 () (tptp.in @t79 @t50)) % 33.66/33.95 (define @t104 () (and @t89 @t103)) % 33.66/33.95 (define @t105 () (= @t104 @t85)) % 33.66/33.95 (define @t106 () (= @t85 @t104)) % 33.66/33.95 (define @t107 () (not @t104)) % 33.66/33.95 (define @t108 () (or @t86 @t103)) % 33.66/33.95 (define @t109 () (not @t108)) % 33.66/33.95 (assume @p1 (forall @t5 (=> @t4 @t3))) % 33.66/33.95 (assume @p2 (forall @t5 (= @t7 @t6))) % 33.66/33.95 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 33.66/33.95 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 33.66/33.95 (assume @p5 (forall @t12 (= @t11 (forall (@list @t2) @t3)))) % 33.66/33.95 (assume @p6 @t22) % 33.66/33.95 (assume @p7 @t28) % 33.66/33.95 (assume @p8 @t31) % 33.66/33.95 (assume @p9 (forall @t5 (= @t32 (= @t8 tptp.empty_set)))) % 33.66/33.95 (assume @p10 true) % 33.66/33.95 (assume @p11 (tptp.empty tptp.empty_set)) % 33.66/33.95 (assume @p12 (forall @t5 (=> @t34 (not (tptp.empty @t7))))) % 33.66/33.95 (assume @p13 (forall @t5 (=> @t34 (not (tptp.empty @t6))))) % 33.66/33.95 (assume @p14 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.66/33.95 (assume @p15 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.66/33.95 (assume @p16 (exists @t12 @t33)) % 33.66/33.95 (assume @p17 (exists @t12 @t34)) % 33.66/33.95 (assume @p18 (forall @t5 (tptp.subset @t1 @t1))) % 33.66/33.95 (assume @p19 (forall @t5 (=> @t32 (tptp.disjoint @t2 @t1)))) % 33.66/33.95 (assume @p20 @t36) % 33.66/33.95 (assume @p21 (forall @t5 (tptp.subset @t8 @t1))) % 33.66/33.95 (assume @p22 @t41) % 33.66/33.95 (assume @p23 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.66/33.95 (assume @p24 (forall @t21 (=> (and @t9 (tptp.subset @t2 @t16)) @t38))) % 33.66/33.95 (assume @p25 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.66/33.95 (assume @p26 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 33.66/33.95 (assume @p27 (forall @t5 (and (not (and @t43 (forall @t25 (not @t42)))) (not (and (exists @t25 @t42) @t32))))) % 33.66/33.95 (assume @p28 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t11))) % 33.66/33.95 (assume @p29 (forall @t5 (and (not (and @t43 (forall @t25 (not @t44)))) (not (and (exists @t25 @t44) @t32))))) % 33.66/33.95 (assume @p30 (forall @t12 (=> @t33 @t11))) % 33.66/33.95 (assume @p31 (forall @t5 (not (and @t4 @t45)))) % 33.66/33.95 (assume @p32 (forall @t5 (tptp.subset @t1 @t7))) % 33.66/33.95 (assume @p33 (forall @t5 (not (and @t33 (not @t10) @t45)))) % 33.66/33.95 (assume @p34 (forall @t21 (=> (and @t9 (tptp.subset @t16 @t2)) (tptp.subset (tptp.set_union2 @t1 @t16) @t2)))) % 33.66/33.95 (step @p35 :rule bool-impl-elim :args (@t24 @t23)) % 33.66/33.95 (step @p36 :rule cong :premises (@p35) :args (@t26)) % 33.66/33.95 (step @p37 :rule refl :args (@t9)) % 33.66/33.95 (step @p38 :rule cong :premises (@p37 @p36) :args (@t27)) % 33.66/33.95 (step @p39 :rule cong :premises (@p38) :args (@t28)) % 33.66/33.95 (step @p40 :rule eq_resolve :premises (@p7 @p39)) % 33.66/33.95 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t51 @t50))) % 33.66/33.95 (step @p42 :rule aci_norm :args ((= (or (or @t47 @t46) @t37) @t48))) % 33.66/33.95 (step @p43 :rule refl :args (@t37)) % 33.66/33.95 (step @p44 :rule bool-and-de-morgan :args (@t9 @t38 true)) % 33.66/33.95 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t39) @t37))) % 33.66/33.95 (step @p46 :rule trans :premises (@p45 @p42)) % 33.66/33.95 (step @p47 :rule bool-impl-elim :args (@t39 @t37)) % 33.66/33.95 (step @p48 :rule trans :premises (@p47 @p46)) % 33.66/33.95 (step @p49 :rule cong :premises (@p48) :args (@t40)) % 33.66/33.95 (step @p50 :rule cong :premises (@p49) :args (@t41)) % 33.66/33.95 (step @p51 :rule eq_resolve :premises (@p22 @p50)) % 33.66/33.95 (step @p52 :rule skolemize :premises (@p51)) % 33.66/33.95 (step @p53 :rule bool-double-not-elim :args (@t52)) % 33.66/33.95 (step @p54 :rule refl :args (@t59)) % 33.66/33.95 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t59 (not @t58)))) % 33.66/33.95 (step @p56 :rule cnf_or_neg :args (@t59 0)) % 33.66/33.95 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 33.66/33.95 (step @p58 :rule reordering :premises (@p57) :args ((or @t52 @t59))) % 33.66/33.95 (step @p59 :rule chain_m_resolution :premises (@p58 @p52) :args (@t52 @t60 @t61)) % 33.66/33.95 (step @p60 :rule cnf_equiv_pos1 :args (@t64)) % 33.66/33.95 (step @p61 :rule reordering :premises (@p60) :args ((or @t58 @t63 (not @t64)))) % 33.66/33.95 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p41) :args (@t63 @t65 (@list @t52 @t64))) % 33.66/33.95 (step @p63 :rule eq-symm :args (@t66 @t19)) % 33.66/33.95 (step @p64 :rule refl :args (@t19)) % 33.66/33.95 (step @p65 :rule eq-symm :args (@t16 @t7)) % 33.66/33.95 (step @p66 :rule cong :premises (@p65 @p64) :args (@t20)) % 33.66/33.95 (step @p67 :rule trans :premises (@p66 @p63)) % 33.66/33.95 (step @p68 :rule cong :premises (@p67) :args (@t22)) % 33.66/33.95 (step @p69 :rule eq_resolve :premises (@p6 @p68)) % 33.66/33.95 (step @p70 :rule refl :args (@t68)) % 33.66/33.95 (step @p71 :rule eq-symm :args (@t69 @t53)) % 33.66/33.95 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t70 @t68))) % 33.66/33.95 (step @p73 :rule eq-symm :args (@t68 @t70)) % 33.66/33.95 (step @p74 :rule trans :premises (@p73 @p72)) % 33.66/33.95 (step @p75 :rule refl :args (@t71)) % 33.66/33.95 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t71 @t72))) % 33.66/33.95 (assume-push @p177 @t71) % 33.66/33.95 (step @p78 :rule instantiate :premises (@p69) :args ((@list @t51 @t53 @t53))) % 33.66/33.95 (step-pop @p178 :rule scope :premises (@p78)) % 33.66/33.95 (step @p79 :rule process_scope :premises (@p178) :args (@t72)) % 33.66/33.95 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 33.66/33.95 (step @p82 :rule implies_elim :premises (@p81)) % 33.66/33.95 (step @p83 :rule chain_m_resolution :premises (@p82 @p69) :args (@t74 @t75 (@list @t71))) % 33.66/33.95 (step @p84 :rule bool-impl-elim :args (@t9 @t76)) % 33.66/33.95 (step @p85 :rule cong :premises (@p84) :args ((forall @t5 (=> @t9 @t76)))) % 33.66/33.95 (step @p86 :rule eq-symm :args (@t7 @t2)) % 33.66/33.95 (step @p87 :rule cong :premises (@p37 @p86) :args (@t35)) % 33.66/33.95 (step @p88 :rule cong :premises (@p87) :args (@t36)) % 33.66/33.95 (step @p89 :rule trans :premises (@p88 @p85)) % 33.66/33.95 (step @p90 :rule eq_resolve :premises (@p20 @p89)) % 33.66/33.95 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t51 @t53))) % 33.66/33.95 (step @p92 :rule bool-double-not-elim :args (@t56)) % 33.66/33.95 (step @p93 :rule nary_cong :premises (@p54 @p92) :args ((or @t59 (not @t57)))) % 33.66/33.95 (step @p94 :rule cnf_or_neg :args (@t59 1)) % 33.66/33.95 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 33.66/33.95 (step @p96 :rule reordering :premises (@p95) :args ((or @t56 @t59))) % 33.66/33.95 (step @p97 :rule chain_m_resolution :premises (@p96 @p52) :args (@t56 @t60 @t61)) % 33.66/33.95 (step @p98 :rule cnf_or_pos :args (@t77)) % 33.66/33.95 (step @p99 :rule reordering :premises (@p98) :args ((or @t57 @t73 (not @t77)))) % 33.66/33.95 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p91) :args (@t73 @t65 (@list @t56 @t77))) % 33.66/33.95 (step @p101 :rule cnf_equiv_pos1 :args (@t74)) % 33.66/33.95 (step @p102 :rule reordering :premises (@p101) :args ((or (not @t73) @t68 (not @t74)))) % 33.66/33.95 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p83) :args (@t68 @t65 (@list @t73 @t74))) % 33.66/33.95 (step @p104 :rule instantiate :premises (@p103) :args (@t80)) % 33.66/33.95 (step @p105 :rule instantiate :premises (@p40) :args ((@list @t51 @t54))) % 33.66/33.95 (step @p106 :rule cnf_or_neg :args (@t59 2)) % 33.66/33.95 (step @p107 :rule chain_m_resolution :premises (@p106 @p52) :args ((not @t55) @t60 @t61)) % 33.66/33.95 (step @p108 :rule cnf_equiv_pos2 :args (@t81)) % 33.66/33.95 (step @p109 :rule reordering :premises (@p108) :args ((or @t55 @t82 (not @t81)))) % 33.66/33.95 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p105) :args (@t82 @t83 (@list @t55 @t81))) % 33.66/33.95 (step @p111 :rule skolemize :premises (@p110)) % 33.66/33.95 (step @p112 :rule bool-double-not-elim :args (@t84)) % 33.66/33.95 (step @p113 :rule refl :args (@t87)) % 33.66/33.95 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t87 (not @t86)))) % 33.66/33.95 (step @p115 :rule cnf_or_neg :args (@t87 0)) % 33.66/33.95 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 33.66/33.95 (step @p117 :rule reordering :premises (@p116) :args ((or @t84 @t87))) % 33.66/33.95 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t84 @t60 @t88)) % 33.66/33.95 (step @p119 :rule cnf_or_neg :args (@t90 0)) % 33.66/33.95 (step @p120 :rule reordering :premises (@p119) :args ((or @t86 @t90))) % 33.66/33.95 (step @p121 :rule chain_m_resolution :premises (@p120 @p118) :args (@t90 @t75 (@list @t84))) % 33.66/33.95 (step @p122 :rule cnf_equiv_pos2 :args (@t91)) % 33.66/33.95 (step @p123 :rule reordering :premises (@p122) :args ((or @t89 (not @t90) (not @t91)))) % 33.66/33.95 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p104) :args (@t89 @t65 (@list @t90 @t91))) % 33.66/33.95 (step @p125 :rule eq-symm :args (@t92 @t29)) % 33.66/33.95 (step @p126 :rule refl :args (@t29)) % 33.66/33.95 (step @p127 :rule eq-symm :args (@t16 @t8)) % 33.66/33.95 (step @p128 :rule cong :premises (@p127 @p126) :args (@t30)) % 33.66/33.95 (step @p129 :rule trans :premises (@p128 @p125)) % 33.66/33.95 (step @p130 :rule cong :premises (@p129) :args (@t31)) % 33.66/33.95 (step @p131 :rule eq_resolve :premises (@p8 @p130)) % 33.66/33.95 (step @p132 :rule eq-symm :args (@t93 @t94)) % 33.66/33.95 (step @p133 :rule cong :premises (@p132) :args (@t95)) % 33.66/33.95 (step @p134 :rule eq-symm :args (@t96 @t54)) % 33.66/33.95 (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t97 @t95))) % 33.66/33.95 (step @p136 :rule eq-symm :args (@t95 @t97)) % 33.66/33.95 (step @p137 :rule trans :premises (@p136 @p135)) % 33.66/33.95 (step @p138 :rule refl :args (@t98)) % 33.66/33.95 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t98 @t99))) % 33.66/33.95 (assume-push @p179 @t98) % 33.66/33.95 (step @p141 :rule instantiate :premises (@p131) :args ((@list @t53 @t50 @t54))) % 33.66/33.95 (step-pop @p180 :rule scope :premises (@p141)) % 33.66/33.95 (step @p142 :rule process_scope :premises (@p180) :args (@t99)) % 33.66/33.95 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 33.66/33.95 (step @p145 :rule implies_elim :premises (@p144)) % 33.66/33.95 (step @p146 :rule chain_m_resolution :premises (@p145 @p131) :args (@t102 @t75 (@list @t98))) % 33.66/33.95 (step @p147 :rule instantiate :premises (@p3) :args ((@list @t50 @t53))) % 33.66/33.95 (step @p148 :rule cnf_equiv_pos1 :args (@t102)) % 33.66/33.95 (step @p149 :rule reordering :premises (@p148) :args ((or (not @t101) @t100 (not @t102)))) % 33.66/33.95 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p146) :args (@t100 @t65 (@list @t101 @t102))) % 33.66/33.95 (step @p151 :rule eq-symm :args (@t104 @t85)) % 33.66/33.95 (step @p152 :rule refl :args (@t100)) % 33.66/33.95 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t100 @t105))) % 33.66/33.95 (assume-push @p181 @t100) % 33.66/33.95 (step @p155 :rule instantiate :premises (@p150) :args (@t80)) % 33.66/33.95 (step-pop @p182 :rule scope :premises (@p155)) % 33.66/33.95 (step @p156 :rule process_scope :premises (@p182) :args (@t105)) % 33.66/33.95 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 33.66/33.95 (step @p159 :rule implies_elim :premises (@p158)) % 33.66/33.95 (step @p160 :rule chain_m_resolution :premises (@p159 @p150) :args (@t106 @t75 (@list @t100))) % 33.66/33.95 (step @p161 :rule cnf_or_neg :args (@t87 1)) % 33.66/33.95 (step @p162 :rule chain_m_resolution :premises (@p161 @p111) :args ((not @t85) @t60 @t88)) % 33.66/33.95 (step @p163 :rule cnf_equiv_pos2 :args (@t106)) % 33.66/33.95 (step @p164 :rule reordering :premises (@p163) :args ((or @t85 @t107 (not @t106)))) % 33.66/33.95 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p160) :args (@t107 @t83 (@list @t85 @t106))) % 33.66/33.95 (step @p166 :rule cnf_and_neg :args (@t104)) % 33.66/33.95 (step @p167 :rule chain_m_resolution :premises (@p166 @p165 @p124) :args ((not @t103) @t83 (@list @t104 @t89))) % 33.66/33.95 (step @p168 :rule cnf_or_pos :args (@t108)) % 33.66/33.95 (step @p169 :rule reordering :premises (@p168) :args ((or @t86 @t103 @t109))) % 33.66/33.95 (step @p170 :rule chain_m_resolution :premises (@p169 @p118 @p167) :args (@t109 (@list false true) (@list @t84 @t103))) % 33.66/33.95 (assume-push @p183 @t63) % 33.66/33.95 (step @p172 :rule instantiate :premises (@p62) :args (@t80)) % 33.66/33.95 (step-pop @p184 :rule scope :premises (@p172)) % 33.66/33.95 (step @p173 :rule process_scope :premises (@p184) :args (@t108)) % 33.66/33.95 (step @p175 :rule implies_elim :premises (@p173)) % 33.66/33.95 (step @p176 false :rule chain_m_resolution :premises (@p175 @p170 @p62) :args (false @t83 (@list @t108 @t63))) % 33.66/33.95 ) % 33.66/33.95 % SZS output end Proof % 33.66/33.95 % cvc5 exiting %------------------------------------------------------------------------------