%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV422_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:55:56 AM UTC 2026 % Result : Theorem 0.71s 1.02s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV422_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:32:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 0.71/1.02 --- Run --finite-model-find --decision=internal at 45... % 0.71/1.02 % SZS status Theorem % 0.71/1.02 % SZS output start Proof % 0.71/1.02 ( % 0.71/1.02 (declare-sort tptp.element 0) % 0.71/1.02 (declare-sort tptp.set 0) % 0.71/1.02 (declare-const tptp.cardinality (-> tptp.set Int)) % 0.71/1.02 (declare-const tptp.complement (-> tptp.set tptp.set)) % 0.71/1.02 (declare-const tptp.difference (-> tptp.set tptp.set tptp.set)) % 0.71/1.02 (declare-const tptp.union (-> tptp.set tptp.set tptp.set)) % 0.71/1.02 (declare-const tptp.intersection (-> tptp.set tptp.set tptp.set)) % 0.71/1.02 (declare-const tptp.subset (-> tptp.set tptp.set Bool)) % 0.71/1.02 (declare-const tptp.singleton (-> tptp.element tptp.set)) % 0.71/1.02 (declare-const tptp.member (-> tptp.element tptp.set Bool)) % 0.71/1.02 (declare-const tptp.empty_set tptp.set) % 0.71/1.02 (define @t1 () (@var "S" tptp.set)) % 0.71/1.02 (define @t2 () (= @t1 tptp.empty_set)) % 0.71/1.02 (define @t3 () (@var "X" tptp.element)) % 0.71/1.02 (define @t4 () (tptp.member @t3 @t1)) % 0.71/1.02 (define @t5 () (@list @t3)) % 0.71/1.02 (define @t6 () (forall @t5 (not @t4))) % 0.71/1.02 (define @t7 () (= @t6 @t2)) % 0.71/1.02 (define @t8 () (@list @t1)) % 0.71/1.02 (define @t9 () (forall @t8 @t7)) % 0.71/1.02 (define @t10 () (@var "A" tptp.element)) % 0.71/1.02 (define @t11 () (forall (@list @t3 @t10) (= (tptp.member @t3 (tptp.singleton @t10)) (= @t3 @t10)))) % 0.71/1.02 (define @t12 () (@var "B" tptp.set)) % 0.71/1.02 (define @t13 () (tptp.member @t3 @t12)) % 0.71/1.02 (define @t14 () (@var "A" tptp.set)) % 0.71/1.02 (define @t15 () (tptp.member @t3 @t14)) % 0.71/1.02 (define @t16 () (@list @t14 @t12)) % 0.71/1.02 (define @t17 () (tptp.intersection @t14 @t12)) % 0.71/1.02 (define @t18 () (@list @t3 @t14 @t12)) % 0.71/1.02 (define @t19 () (tptp.union @t14 @t12)) % 0.71/1.02 (define @t20 () (@var "B" tptp.element)) % 0.71/1.02 (define @t21 () (@var "E" tptp.set)) % 0.71/1.02 (define @t22 () (@list @t3 @t1)) % 0.71/1.02 (define @t23 () (tptp.cardinality @t1)) % 0.71/1.02 (define @t24 () (tptp.singleton @t3)) % 0.71/1.02 (define @t25 () (tptp.cardinality (tptp.union @t24 @t1))) % 0.71/1.02 (define @t26 () (tptp.intersection @t24 @t1)) % 0.71/1.02 (define @t27 () (+ @t23 1)) % 0.71/1.02 (define @t28 () (= @t25 @t27)) % 0.71/1.02 (define @t29 () (= (= @t26 tptp.empty_set) @t28)) % 0.71/1.02 (define @t30 () (forall @t22 @t29)) % 0.71/1.02 (define @t31 () (@var "T" tptp.set)) % 0.71/1.02 (define @t32 () (tptp.intersection @t1 @t31)) % 0.71/1.02 (define @t33 () (@var "C" tptp.set)) % 0.71/1.02 (define @t34 () (tptp.cardinality (tptp.union @t24 @t33))) % 0.71/1.02 (define @t35 () (@var "Size" Int)) % 0.71/1.02 (define @t36 () (+ @t35 1)) % 0.71/1.02 (define @t37 () (= @t36 @t34)) % 0.71/1.02 (define @t38 () (tptp.cardinality @t33)) % 0.71/1.02 (define @t39 () (= @t35 @t38)) % 0.71/1.02 (define @t40 () (tptp.member @t3 @t33)) % 0.71/1.02 (define @t41 () (not @t40)) % 0.71/1.02 (define @t42 () (and @t41 @t39)) % 0.71/1.02 (define @t43 () (=> @t42 @t37)) % 0.71/1.02 (define @t44 () (@list @t3 @t33 @t35)) % 0.71/1.02 (define @t45 () (forall @t44 @t43)) % 0.71/1.02 (define @t46 () (not @t45)) % 0.71/1.02 (define @t47 () (+ -1 @t34)) % 0.71/1.02 (define @t48 () (= @t38 @t47)) % 0.71/1.02 (define @t49 () (or @t40 @t48)) % 0.71/1.02 (define @t50 () (@list @t3 @t33)) % 0.71/1.02 (define @t51 () (forall @t50 @t49)) % 0.71/1.02 (define @t52 () (@quantifiers_skolemize @t51 1)) % 0.71/1.02 (define @t53 () (@quantifiers_skolemize @t51 0)) % 0.71/1.02 (define @t54 () (tptp.singleton @t53)) % 0.71/1.02 (define @t55 () (tptp.intersection @t54 @t52)) % 0.71/1.02 (define @t56 () (forall @t5 (not (tptp.member @t3 @t55)))) % 0.71/1.02 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.71/1.02 (define @t58 () (= tptp.empty_set @t55)) % 0.71/1.02 (define @t59 () (forall @t8 (= @t6 (= tptp.empty_set @t1)))) % 0.71/1.02 (define @t60 () (= @t56 @t58)) % 0.71/1.02 (define @t61 () (= @t58 @t56)) % 0.71/1.02 (define @t62 () (@list false)) % 0.71/1.02 (define @t63 () (+ -1 @t25)) % 0.71/1.02 (define @t64 () (+ 1 @t23)) % 0.71/1.02 (define @t65 () (= @t23 @t63)) % 0.71/1.02 (define @t66 () (= (tptp.cardinality @t52) (+ -1 (tptp.cardinality (tptp.union @t54 @t52))))) % 0.71/1.02 (define @t67 () (forall @t22 (= (= tptp.empty_set @t26) @t65))) % 0.71/1.02 (define @t68 () (= @t58 @t66)) % 0.71/1.02 (define @t69 () (= @t66 @t58)) % 0.71/1.02 (define @t70 () (not (= @t38 @t38))) % 0.71/1.02 (define @t71 () (or @t40 @t70 @t48)) % 0.71/1.02 (define @t72 () (= @t35 @t47)) % 0.71/1.02 (define @t73 () (not @t39)) % 0.71/1.02 (define @t74 () (or @t73 @t40 @t73 @t72)) % 0.71/1.02 (define @t75 () (@list @t35)) % 0.71/1.02 (define @t76 () (or @t40 @t73 @t72)) % 0.71/1.02 (define @t77 () (forall @t75 @t76)) % 0.71/1.02 (define @t78 () (forall @t50 @t77)) % 0.71/1.02 (define @t79 () (+ 1 @t35)) % 0.71/1.02 (define @t80 () (tptp.member @t53 @t52)) % 0.71/1.02 (define @t81 () (or @t80 @t66)) % 0.71/1.02 (define @t82 () (@list true)) % 0.71/1.02 (define @t83 () (@list @t81)) % 0.71/1.02 (define @t84 () (not @t58)) % 0.71/1.02 (define @t85 () (@list true false)) % 0.71/1.02 (define @t86 () (not @t56)) % 0.71/1.02 (define @t87 () (tptp.member @t57 @t55)) % 0.71/1.02 (define @t88 () (not @t87)) % 0.71/1.02 (define @t89 () (not @t88)) % 0.71/1.02 (define @t90 () (tptp.member @t57 @t54)) % 0.71/1.02 (define @t91 () (and @t90 (tptp.member @t57 @t52))) % 0.71/1.02 (define @t92 () (= @t87 @t91)) % 0.71/1.02 (define @t93 () (and (tptp.member @t53 @t54) @t80)) % 0.71/1.02 (define @t94 () (not @t93)) % 0.71/1.02 (define @t95 () (tptp.member @t53 @t55)) % 0.71/1.02 (define @t96 () (= @t95 @t93)) % 0.71/1.02 (define @t97 () (not @t95)) % 0.71/1.02 (define @t98 () (= @t53 @t57)) % 0.71/1.02 (define @t99 () (not @t98)) % 0.71/1.02 (define @t100 () (and @t97 @t98 @t87)) % 0.71/1.02 (define @t101 () (= @t98 @t90)) % 0.71/1.02 (define @t102 () (not @t101)) % 0.71/1.02 (define @t103 () (= @t57 @t53)) % 0.71/1.02 (define @t104 () (= @t90 @t103)) % 0.71/1.02 (assume @p1 @t9) % 0.71/1.02 (assume @p2 @t11) % 0.71/1.02 (assume @p3 (forall @t16 (= (tptp.subset @t14 @t12) (forall @t5 (=> @t15 @t13))))) % 0.71/1.02 (assume @p4 (forall @t18 (= (tptp.member @t3 @t17) (and @t15 @t13)))) % 0.71/1.02 (assume @p5 (forall @t18 (= (tptp.member @t3 @t19) (or @t15 @t13)))) % 0.71/1.02 (assume @p6 (forall (@list @t20 @t14 @t21) (= (tptp.member @t20 (tptp.difference @t21 @t14)) (and (tptp.member @t20 @t21) (not (tptp.member @t20 @t14)))))) % 0.71/1.02 (assume @p7 (forall @t22 (= @t4 (not (tptp.member @t3 (tptp.complement @t1)))))) % 0.71/1.02 (assume @p8 (forall @t8 (= (= @t23 0) @t2))) % 0.71/1.02 (assume @p9 (forall @t22 (= (= @t26 @t24) (= @t25 @t23)))) % 0.71/1.02 (assume @p10 @t30) % 0.71/1.02 (assume @p11 (forall (@list @t1 @t31) (= (= (tptp.cardinality @t32) 0) (= @t32 tptp.empty_set)))) % 0.71/1.02 (assume @p12 (forall @t16 (= (= @t17 tptp.empty_set) (= (tptp.cardinality @t19) (+ (tptp.cardinality @t14) (tptp.cardinality @t12)))))) % 0.71/1.02 (assume @p13 @t46) % 0.71/1.02 (assume @p14 true) % 0.71/1.02 (step @p15 :rule instantiate :premises (@p4) :args ((@list @t57 @t54 @t52))) % 0.71/1.02 (step @p16 :rule eq-symm :args (@t1 tptp.empty_set)) % 0.71/1.02 (step @p17 :rule refl :args (@t6)) % 0.71/1.02 (step @p18 :rule cong :premises (@p17 @p16) :args (@t7)) % 0.71/1.02 (step @p19 :rule cong :premises (@p18) :args (@t9)) % 0.71/1.02 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.71/1.02 (step @p21 :rule eq-symm :args (@t56 @t58)) % 0.71/1.02 (step @p22 :rule refl :args (@t59)) % 0.71/1.02 (step @p23 :rule cong :premises (@p22 @p21) :args ((=> @t59 @t60))) % 0.71/1.02 (assume-push @p183 @t59) % 0.71/1.02 (step @p25 :rule instantiate :premises (@p20) :args ((@list @t55))) % 0.71/1.02 (step-pop @p184 :rule scope :premises (@p25)) % 0.71/1.02 (step @p26 :rule process_scope :premises (@p184) :args (@t60)) % 0.71/1.02 (step @p28 :rule eq_resolve :premises (@p26 @p23)) % 0.71/1.02 (step @p29 :rule implies_elim :premises (@p28)) % 0.71/1.02 (step @p30 :rule chain_m_resolution :premises (@p29 @p20) :args (@t61 @t62 (@list @t59))) % 0.71/1.02 (step @p31 :rule arith_poly_norm :args ((= (* 1 (- @t25 @t64)) (* -1 (- @t23 @t63))))) % 0.71/1.02 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= (= @t25 @t64) @t65))) % 0.71/1.02 (step @p33 :rule arith_poly_norm :args ((= @t27 @t64))) % 0.71/1.02 (step @p34 :rule refl :args (@t25)) % 0.71/1.02 (step @p35 :rule cong :premises (@p34 @p33) :args (@t28)) % 0.71/1.02 (step @p36 :rule trans :premises (@p35 @p32)) % 0.71/1.02 (step @p37 :rule eq-symm :args (@t26 tptp.empty_set)) % 0.71/1.02 (step @p38 :rule cong :premises (@p37 @p36) :args (@t29)) % 0.71/1.02 (step @p39 :rule cong :premises (@p38) :args (@t30)) % 0.71/1.02 (step @p40 :rule eq_resolve :premises (@p10 @p39)) % 0.71/1.02 (step @p41 :rule eq-symm :args (@t58 @t66)) % 0.71/1.02 (step @p42 :rule refl :args (@t67)) % 0.71/1.02 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t67 @t68))) % 0.71/1.02 (assume-push @p185 @t67) % 0.71/1.02 (step @p45 :rule instantiate :premises (@p40) :args ((@list @t53 @t52))) % 0.71/1.02 (step-pop @p186 :rule scope :premises (@p45)) % 0.71/1.02 (step @p46 :rule process_scope :premises (@p186) :args (@t68)) % 0.71/1.02 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.71/1.02 (step @p49 :rule implies_elim :premises (@p48)) % 0.71/1.02 (step @p50 :rule chain_m_resolution :premises (@p49 @p40) :args (@t69 @t62 (@list @t67))) % 0.71/1.02 (step @p51 :rule aci_norm :args ((= (or @t40 false @t48) @t49))) % 0.71/1.02 (step @p52 :rule refl :args (@t48)) % 0.71/1.02 (step @p53 :rule evaluate :args ((not true))) % 0.71/1.02 (step @p54 :rule eq-refl :args (@t38)) % 0.71/1.02 (step @p55 :rule cong :premises (@p54) :args (@t70)) % 0.71/1.02 (step @p56 :rule trans :premises (@p55 @p53)) % 0.71/1.02 (step @p57 :rule refl :args (@t40)) % 0.71/1.02 (step @p58 :rule nary_cong :premises (@p57 @p56 @p52) :args (@t71)) % 0.71/1.02 (step @p59 :rule trans :premises (@p58 @p51)) % 0.71/1.02 (step @p60 :rule cong :premises (@p59) :args ((forall @t50 @t71))) % 0.71/1.02 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t75 @t74) @t71))) % 0.71/1.02 (step @p62 :rule aci_norm :args ((= @t76 @t74))) % 0.71/1.02 (step @p63 :rule cong :premises (@p62) :args (@t77)) % 0.71/1.02 (step @p64 :rule trans :premises (@p63 @p61)) % 0.71/1.02 (step @p65 :rule cong :premises (@p64) :args (@t78)) % 0.71/1.02 (step @p66 :rule quant-merge-prenex :args ((= @t78 (forall @t44 @t76)))) % 0.71/1.02 (step @p67 :rule symm :premises (@p66)) % 0.71/1.02 (step @p68 :rule trans :premises (@p67 @p65)) % 0.71/1.02 (step @p69 :rule trans :premises (@p68 @p60)) % 0.71/1.02 (step @p70 :rule aci_norm :args ((= (or (or @t40 @t73) @t72) @t76))) % 0.71/1.02 (step @p71 :rule refl :args (@t72)) % 0.71/1.02 (step @p72 :rule refl :args (@t73)) % 0.71/1.02 (step @p73 :rule bool-double-not-elim :args (@t40)) % 0.71/1.02 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t41) @t73))) % 0.71/1.02 (step @p75 :rule bool-and-de-morgan :args (@t41 @t39 true)) % 0.71/1.02 (step @p76 :rule trans :premises (@p75 @p74)) % 0.71/1.02 (step @p77 :rule nary_cong :premises (@p76 @p71) :args ((or (not @t42) @t72))) % 0.71/1.02 (step @p78 :rule trans :premises (@p77 @p70)) % 0.71/1.02 (step @p79 :rule bool-impl-elim :args (@t42 @t72)) % 0.71/1.02 (step @p80 :rule trans :premises (@p79 @p78)) % 0.71/1.02 (step @p81 :rule cong :premises (@p80) :args ((forall @t44 (=> @t42 @t72)))) % 0.71/1.02 (step @p82 :rule trans :premises (@p81 @p69)) % 0.71/1.02 (step @p83 :rule arith_poly_norm :args ((= (* 1 (- @t79 @t34)) (* 1 (- @t35 @t47))))) % 0.71/1.02 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= (= @t79 @t34) @t72))) % 0.71/1.02 (step @p85 :rule refl :args (@t34)) % 0.71/1.02 (step @p86 :rule arith_poly_norm :args ((= @t36 @t79))) % 0.71/1.02 (step @p87 :rule cong :premises (@p86 @p85) :args (@t37)) % 0.71/1.02 (step @p88 :rule trans :premises (@p87 @p84)) % 0.71/1.02 (step @p89 :rule refl :args (@t42)) % 0.71/1.02 (step @p90 :rule cong :premises (@p89 @p88) :args (@t43)) % 0.71/1.02 (step @p91 :rule cong :premises (@p90) :args (@t45)) % 0.71/1.02 (step @p92 :rule trans :premises (@p91 @p82)) % 0.71/1.02 (step @p93 :rule cong :premises (@p92) :args (@t46)) % 0.71/1.02 (step @p94 :rule eq_resolve :premises (@p13 @p93)) % 0.71/1.02 (step @p95 :rule skolemize :premises (@p94)) % 0.71/1.02 (step @p96 :rule cnf_or_neg :args (@t81 1)) % 0.71/1.02 (step @p97 :rule chain_m_resolution :premises (@p96 @p95) :args ((not @t66) @t82 @t83)) % 0.71/1.02 (step @p98 :rule cnf_equiv_pos2 :args (@t69)) % 0.71/1.02 (step @p99 :rule reordering :premises (@p98) :args ((or @t66 @t84 (not @t69)))) % 0.71/1.02 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p50) :args (@t84 @t85 (@list @t66 @t69))) % 0.71/1.02 (step @p101 :rule cnf_equiv_pos2 :args (@t61)) % 0.71/1.02 (step @p102 :rule reordering :premises (@p101) :args ((or @t58 @t86 (not @t61)))) % 0.71/1.02 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p30) :args (@t86 @t85 (@list @t58 @t61))) % 0.71/1.02 (step @p104 :rule refl :args (@t87)) % 0.71/1.02 (step @p105 :rule bool-double-not-elim :args (@t56)) % 0.71/1.02 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t86) @t87))) % 0.71/1.02 (step @p107 :rule bool-double-not-elim :args (@t87)) % 0.71/1.02 (step @p108 :rule refl :args (@t86)) % 0.71/1.02 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t86 @t89))) % 0.71/1.02 (assume-push @p187 @t86) % 0.71/1.02 (step @p111 :rule skolemize :premises (@p103)) % 0.71/1.02 (step-pop @p188 :rule scope :premises (@p111)) % 0.71/1.02 (step @p112 :rule process_scope :premises (@p188) :args (@t89)) % 0.71/1.02 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.71/1.02 (step @p115 :rule implies_elim :premises (@p114)) % 0.71/1.02 (step @p116 :rule eq_resolve :premises (@p115 @p106)) % 0.71/1.02 (step @p117 :rule chain_m_resolution :premises (@p116 @p103) :args (@t87 @t82 (@list @t56))) % 0.71/1.02 (step @p118 :rule cnf_equiv_pos1 :args (@t92)) % 0.71/1.02 (step @p119 :rule reordering :premises (@p118) :args ((or @t88 @t91 (not @t92)))) % 0.71/1.02 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p15) :args (@t91 (@list false false) (@list @t87 @t92))) % 0.71/1.02 (step @p121 :rule cnf_and_pos :args (@t91 0)) % 0.71/1.02 (step @p122 :rule reordering :premises (@p121) :args ((or @t90 (not @t91)))) % 0.71/1.02 (step @p123 :rule chain_m_resolution :premises (@p122 @p120) :args (@t90 @t62 (@list @t91))) % 0.71/1.02 (step @p124 :rule instantiate :premises (@p4) :args ((@list @t53 @t54 @t52))) % 0.71/1.02 (step @p125 :rule cnf_or_neg :args (@t81 0)) % 0.71/1.02 (step @p126 :rule chain_m_resolution :premises (@p125 @p95) :args ((not @t80) @t82 @t83)) % 0.71/1.02 (step @p127 :rule cnf_and_pos :args (@t93 1)) % 0.71/1.02 (step @p128 :rule reordering :premises (@p127) :args ((or @t80 @t94))) % 0.71/1.02 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t94 @t82 (@list @t80))) % 0.71/1.02 (step @p130 :rule cnf_equiv_pos1 :args (@t96)) % 0.71/1.02 (step @p131 :rule reordering :premises (@p130) :args ((or @t93 @t97 (not @t96)))) % 0.71/1.02 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p124) :args (@t97 @t85 (@list @t93 @t96))) % 0.71/1.03 (step @p133 :rule refl :args (@t99)) % 0.71/1.03 (step @p134 :rule refl :args (@t88)) % 0.71/1.03 (step @p135 :rule bool-double-not-elim :args (@t95)) % 0.71/1.03 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args ((or (not @t97) @t88 @t99))) % 0.71/1.03 (assume-push @p189 @t97) % 0.71/1.03 (assume-push @p190 @t98) % 0.71/1.03 (assume-push @p191 @t87) % 0.71/1.03 (step @p140 :rule evaluate :args ((= true false))) % 0.71/1.03 (step @p141 :rule false_intro :premises (@p132)) % 0.71/1.03 (step @p142 :rule refl :args (@t55)) % 0.71/1.03 (step @p143 :rule symm :premises (@p190)) % 0.71/1.03 (step @p144 :rule cong :premises (@p143 @p142) :args (@t87)) % 0.71/1.03 (step @p145 :rule true_intro :premises (@p117)) % 0.71/1.03 (step @p146 :rule symm :premises (@p145)) % 0.71/1.03 (step @p147 :rule trans :premises (@p146 @p144 @p141)) % 0.71/1.03 (step @p148 false :rule eq_resolve :premises (@p147 @p140)) % 0.71/1.03 (step-pop @p192 :rule scope :premises (@p148)) % 0.71/1.03 (step-pop @p193 :rule scope :premises (@p192)) % 0.71/1.03 (step-pop @p194 :rule scope :premises (@p193)) % 0.71/1.03 (step @p149 :rule process_scope :premises (@p194) :args (false)) % 0.71/1.03 (assume-push @p195 @t97) % 0.71/1.03 (assume-push @p196 @t87) % 0.71/1.03 (assume-push @p197 @t98) % 0.71/1.03 (step @p156 :rule and_intro :premises (@p132 @p197 @p117)) % 0.71/1.03 (step-pop @p198 :rule scope :premises (@p156)) % 0.71/1.03 (step-pop @p199 :rule scope :premises (@p198)) % 0.71/1.03 (step-pop @p200 :rule scope :premises (@p199)) % 0.71/1.03 (step @p157 :rule process_scope :premises (@p200) :args (@t100)) % 0.71/1.03 (step @p161 :rule implies_elim :premises (@p157)) % 0.71/1.03 (step @p162 :rule resolution :premises (@p161 @p149) :args (true @t100)) % 0.71/1.03 (step @p163 :rule not_and :premises (@p162)) % 0.71/1.03 (step @p164 :rule eq_resolve :premises (@p163 @p136)) % 0.71/1.03 (step @p165 :rule chain_m_resolution :premises (@p164 @p132 @p117) :args (@t99 @t85 (@list @t95 @t87))) % 0.71/1.03 (step @p166 :rule cnf_equiv_pos2 :args (@t101)) % 0.71/1.03 (step @p167 :rule reordering :premises (@p166) :args ((or @t98 (not @t90) @t102))) % 0.71/1.03 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p123) :args (@t102 @t85 (@list @t98 @t90))) % 0.71/1.03 (step @p169 :rule refl :args (@t90)) % 0.71/1.03 (step @p170 :rule eq-symm :args (@t57 @t53)) % 0.71/1.03 (step @p171 :rule cong :premises (@p170 @p169) :args ((= @t103 @t90))) % 0.71/1.03 (step @p172 :rule eq-symm :args (@t90 @t103)) % 0.71/1.03 (step @p173 :rule trans :premises (@p172 @p171)) % 0.71/1.03 (step @p174 :rule refl :args (@t11)) % 0.71/1.03 (step @p175 :rule cong :premises (@p174 @p173) :args ((=> @t11 @t104))) % 0.71/1.03 (assume-push @p201 @t11) % 0.71/1.03 (step @p177 :rule instantiate :premises (@p2) :args ((@list @t57 @t53))) % 0.71/1.03 (step-pop @p202 :rule scope :premises (@p177)) % 0.71/1.03 (step @p178 :rule process_scope :premises (@p202) :args (@t104)) % 0.71/1.03 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.71/1.03 (step @p181 :rule implies_elim :premises (@p180)) % 0.71/1.03 (step @p182 false :rule chain_m_resolution :premises (@p181 @p168 @p2) :args (false @t85 (@list @t101 @t11))) % 0.71/1.03 ) % 0.71/1.03 % SZS output end Proof % 0.71/1.03 % cvc5 exiting %------------------------------------------------------------------------------