%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU153+1 : 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 : n010.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 08:50:45 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU153+1 : 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 : n010.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 16:32:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.empty_set $$unsorted) % 0.45/0.69 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.69 (define @t3 () (not (tptp.in @t2 @t1))) % 0.45/0.69 (define @t4 () (tptp.in @t1 @t2)) % 0.45/0.69 (define @t5 () (@list @t1 @t2)) % 0.45/0.69 (define @t6 () (tptp.set_intersection2 @t1 @t2)) % 0.45/0.69 (define @t7 () (@var "C" $$unsorted)) % 0.45/0.69 (define @t8 () (tptp.in @t7 @t2)) % 0.45/0.69 (define @t9 () (= @t8 (= @t7 @t1))) % 0.45/0.69 (define @t10 () (@list @t7)) % 0.45/0.69 (define @t11 () (forall @t10 @t9)) % 0.45/0.69 (define @t12 () (tptp.singleton @t1)) % 0.45/0.69 (define @t13 () (= @t2 @t12)) % 0.45/0.69 (define @t14 () (= @t13 @t11)) % 0.45/0.69 (define @t15 () (forall @t5 @t14)) % 0.45/0.69 (define @t16 () (@list @t2)) % 0.45/0.69 (define @t17 () (@list @t1)) % 0.45/0.69 (define @t18 () (forall @t17 (= (= @t1 tptp.empty_set) (forall @t16 @t3)))) % 0.45/0.69 (define @t19 () (@var "D" $$unsorted)) % 0.45/0.69 (define @t20 () (@list @t19)) % 0.45/0.69 (define @t21 () (forall @t20 (= (tptp.in @t19 @t7) (and (tptp.in @t19 @t1) (tptp.in @t19 @t2))))) % 0.45/0.69 (define @t22 () (= (= @t7 @t6) @t21)) % 0.45/0.69 (define @t23 () (@list @t1 @t2 @t7)) % 0.45/0.69 (define @t24 () (forall @t23 @t22)) % 0.45/0.69 (define @t25 () (tptp.disjoint @t1 @t2)) % 0.45/0.69 (define @t26 () (forall @t5 (= @t25 (= @t6 tptp.empty_set)))) % 0.45/0.69 (define @t27 () (tptp.disjoint @t12 @t2)) % 0.45/0.69 (define @t28 () (forall @t5 (not (and @t27 @t4)))) % 0.45/0.69 (define @t29 () (not @t28)) % 0.45/0.69 (define @t30 () (tptp.empty @t1)) % 0.45/0.69 (define @t31 () (tptp.disjoint @t2 @t1)) % 0.45/0.69 (define @t32 () (forall @t5 (=> @t25 @t31))) % 0.45/0.69 (define @t33 () (forall @t16 (not (tptp.in @t2 tptp.empty_set)))) % 0.45/0.69 (define @t34 () (= (= tptp.empty_set tptp.empty_set) @t33)) % 0.45/0.69 (define @t35 () (@list false)) % 0.45/0.69 (define @t36 () (@list @t18)) % 0.45/0.69 (define @t37 () (forall @t5 (or (not @t27) (not @t4)))) % 0.45/0.69 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.45/0.69 (define @t39 () (@list @t38)) % 0.45/0.69 (define @t40 () (tptp.singleton @t38)) % 0.45/0.69 (define @t41 () (tptp.in @t7 @t40)) % 0.45/0.69 (define @t42 () (forall @t10 (= (= @t7 @t38) @t41))) % 0.45/0.69 (define @t43 () (= @t38 @t7)) % 0.45/0.69 (define @t44 () (forall @t10 (= @t41 @t43))) % 0.45/0.69 (define @t45 () (= (= @t40 @t40) @t44)) % 0.45/0.69 (define @t46 () (forall @t5 (= @t13 (forall @t10 (= @t8 (= @t1 @t7)))))) % 0.45/0.69 (define @t47 () (tptp.in @t38 @t40)) % 0.45/0.69 (define @t48 () (= @t38 @t38)) % 0.45/0.69 (define @t49 () (= @t48 @t47)) % 0.45/0.69 (define @t50 () (@list @t42)) % 0.45/0.69 (define @t51 () (forall @t16 (not (tptp.in @t2 @t40)))) % 0.45/0.69 (define @t52 () (= (= @t40 tptp.empty_set) @t51)) % 0.45/0.69 (define @t53 () (= tptp.empty_set @t40)) % 0.45/0.69 (define @t54 () (= @t53 @t51)) % 0.45/0.69 (define @t55 () (@quantifiers_skolemize @t51 0)) % 0.45/0.69 (define @t56 () (tptp.in @t55 @t40)) % 0.45/0.69 (define @t57 () (= @t55 @t38)) % 0.45/0.69 (define @t58 () (= @t57 @t56)) % 0.45/0.69 (define @t59 () (@list @t55)) % 0.45/0.69 (define @t60 () (= @t38 @t55)) % 0.45/0.69 (define @t61 () (= @t56 @t60)) % 0.45/0.69 (define @t62 () (not @t56)) % 0.45/0.69 (define @t63 () (tptp.in @t55 tptp.empty_set)) % 0.45/0.69 (define @t64 () (not @t63)) % 0.45/0.69 (define @t65 () (not @t60)) % 0.45/0.69 (define @t66 () (tptp.in @t38 tptp.empty_set)) % 0.45/0.69 (define @t67 () (not @t66)) % 0.45/0.69 (define @t68 () (not @t67)) % 0.45/0.69 (define @t69 () (and @t67 @t60)) % 0.45/0.69 (define @t70 () (@quantifiers_skolemize @t37 1)) % 0.45/0.69 (define @t71 () (tptp.in @t38 @t70)) % 0.45/0.69 (define @t72 () (not @t71)) % 0.45/0.69 (define @t73 () (tptp.disjoint @t40 @t70)) % 0.45/0.69 (define @t74 () (not @t73)) % 0.45/0.69 (define @t75 () (or @t74 @t72)) % 0.45/0.69 (define @t76 () (@list true)) % 0.45/0.69 (define @t77 () (@list @t75)) % 0.45/0.69 (define @t78 () (tptp.in @t55 @t70)) % 0.45/0.69 (define @t79 () (and @t71 @t60)) % 0.45/0.69 (define @t80 () (= @t6 @t7)) % 0.45/0.69 (define @t81 () (forall @t20 (= (tptp.in @t19 tptp.empty_set) (and (tptp.in @t19 @t70) (tptp.in @t19 @t40))))) % 0.45/0.69 (define @t82 () (tptp.set_intersection2 @t70 @t40)) % 0.45/0.69 (define @t83 () (= @t82 tptp.empty_set)) % 0.45/0.69 (define @t84 () (forall @t23 (= @t21 @t80))) % 0.45/0.69 (define @t85 () (= @t81 @t83)) % 0.45/0.69 (define @t86 () (= tptp.empty_set @t82)) % 0.45/0.69 (define @t87 () (= @t86 @t81)) % 0.45/0.69 (define @t88 () (tptp.disjoint @t70 @t40)) % 0.45/0.69 (define @t89 () (= @t88 @t83)) % 0.45/0.69 (define @t90 () (= @t88 @t86)) % 0.45/0.69 (define @t91 () (or @t74 @t88)) % 0.45/0.69 (define @t92 () (@list false false)) % 0.45/0.69 (define @t93 () (and @t78 @t56)) % 0.45/0.69 (define @t94 () (= @t63 @t93)) % 0.45/0.69 (define @t95 () (not @t51)) % 0.45/0.69 (define @t96 () (not @t62)) % 0.45/0.69 (define @t97 () (not @t47)) % 0.45/0.69 (define @t98 () (not @t53)) % 0.45/0.69 (define @t99 () (and @t67 @t53 @t47)) % 0.45/0.69 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.45/0.69 (assume @p2 (forall @t5 (= @t6 (tptp.set_intersection2 @t2 @t1)))) % 0.45/0.69 (assume @p3 @t15) % 0.45/0.69 (assume @p4 @t18) % 0.45/0.69 (assume @p5 @t24) % 0.45/0.69 (assume @p6 @t26) % 0.45/0.69 (assume @p7 true) % 0.45/0.69 (assume @p8 (tptp.empty tptp.empty_set)) % 0.45/0.69 (assume @p9 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.45/0.69 (assume @p10 @t29) % 0.45/0.69 (assume @p11 (exists @t17 @t30)) % 0.45/0.69 (assume @p12 (exists @t17 (not @t30))) % 0.45/0.69 (assume @p13 @t32) % 0.45/0.69 (step @p14 :rule bool-eq-true :args (@t33)) % 0.45/0.69 (step @p15 :rule eq-symm :args (true @t33)) % 0.45/0.69 (step @p16 :rule trans :premises (@p15 @p14)) % 0.45/0.69 (step @p17 :rule refl :args (@t33)) % 0.45/0.69 (step @p18 :rule eq-refl :args (tptp.empty_set)) % 0.45/0.69 (step @p19 :rule cong :premises (@p18 @p17) :args (@t34)) % 0.45/0.69 (step @p20 :rule trans :premises (@p19 @p16)) % 0.45/0.69 (step @p21 :rule refl :args (@t18)) % 0.45/0.69 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t18 @t34))) % 0.45/0.69 (assume-push @p268 @t18) % 0.45/0.69 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.empty_set))) % 0.45/0.69 (step-pop @p269 :rule scope :premises (@p24)) % 0.45/0.69 (step @p25 :rule process_scope :premises (@p269) :args (@t34)) % 0.45/0.69 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.45/0.69 (step @p28 :rule implies_elim :premises (@p27)) % 0.45/0.69 (step @p29 :rule chain_m_resolution :premises (@p28 @p4) :args (@t33 @t35 @t36)) % 0.45/0.69 (step @p30 :rule instantiate :premises (@p29) :args (@t39)) % 0.45/0.69 (step @p31 :rule eq-symm :args (@t7 @t1)) % 0.45/0.69 (step @p32 :rule refl :args (@t8)) % 0.45/0.69 (step @p33 :rule cong :premises (@p32 @p31) :args (@t9)) % 0.45/0.69 (step @p34 :rule cong :premises (@p33) :args (@t11)) % 0.45/0.69 (step @p35 :rule refl :args (@t13)) % 0.45/0.69 (step @p36 :rule cong :premises (@p35 @p34) :args (@t14)) % 0.45/0.69 (step @p37 :rule cong :premises (@p36) :args (@t15)) % 0.45/0.69 (step @p38 :rule eq_resolve :premises (@p3 @p37)) % 0.45/0.69 (step @p39 :rule bool-eq-true :args (@t42)) % 0.45/0.69 (step @p40 :rule eq-symm :args (true @t42)) % 0.45/0.69 (step @p41 :rule trans :premises (@p40 @p39)) % 0.45/0.69 (step @p42 :rule refl :args (@t41)) % 0.45/0.69 (step @p43 :rule eq-symm :args (@t38 @t7)) % 0.45/0.69 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t43 @t41))) % 0.45/0.69 (step @p45 :rule eq-symm :args (@t41 @t43)) % 0.45/0.69 (step @p46 :rule trans :premises (@p45 @p44)) % 0.45/0.69 (step @p47 :rule cong :premises (@p46) :args (@t44)) % 0.45/0.69 (step @p48 :rule eq-refl :args (@t40)) % 0.45/0.69 (step @p49 :rule cong :premises (@p48 @p47) :args (@t45)) % 0.45/0.69 (step @p50 :rule trans :premises (@p49 @p41)) % 0.45/0.69 (step @p51 :rule refl :args (@t46)) % 0.45/0.69 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t46 @t45))) % 0.45/0.69 (assume-push @p270 @t46) % 0.45/0.69 (step @p54 :rule instantiate :premises (@p38) :args ((@list @t38 @t40))) % 0.45/0.69 (step-pop @p271 :rule scope :premises (@p54)) % 0.45/0.69 (step @p55 :rule process_scope :premises (@p271) :args (@t45)) % 0.45/0.69 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.45/0.69 (step @p58 :rule implies_elim :premises (@p57)) % 0.45/0.69 (step @p59 :rule chain_m_resolution :premises (@p58 @p38) :args (@t42 @t35 (@list @t46))) % 0.45/0.69 (step @p60 :rule bool-eq-true :args (@t47)) % 0.45/0.69 (step @p61 :rule eq-refl :args (@t38)) % 0.45/0.69 (step @p62 :rule refl :args (@t47)) % 0.45/0.69 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t47 @t48))) % 0.45/0.69 (step @p64 :rule trans :premises (@p63 @p60)) % 0.45/0.69 (step @p65 :rule eq-symm :args (@t48 @t47)) % 0.45/0.69 (step @p66 :rule trans :premises (@p65 @p64)) % 0.45/0.69 (step @p67 :rule refl :args (@t42)) % 0.45/0.69 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t42 @t49))) % 0.45/0.69 (assume-push @p272 @t42) % 0.45/0.69 (step @p70 :rule instantiate :premises (@p59) :args (@t39)) % 0.45/0.69 (step-pop @p273 :rule scope :premises (@p70)) % 0.45/0.69 (step @p71 :rule process_scope :premises (@p273) :args (@t49)) % 0.45/0.69 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.45/0.69 (step @p74 :rule implies_elim :premises (@p73)) % 0.45/0.69 (step @p75 :rule reordering :premises (@p74) :args ((or @t47 (not @t42)))) % 0.45/0.69 (step @p76 :rule chain_m_resolution :premises (@p75 @p59) :args (@t47 @t35 @t50)) % 0.45/0.69 (step @p77 :rule refl :args (@t51)) % 0.45/0.69 (step @p78 :rule eq-symm :args (@t40 tptp.empty_set)) % 0.45/0.69 (step @p79 :rule cong :premises (@p78 @p77) :args (@t52)) % 0.45/0.69 (step @p80 :rule cong :premises (@p21 @p79) :args ((=> @t18 @t52))) % 0.45/0.69 (assume-push @p274 @t18) % 0.45/0.69 (step @p82 :rule instantiate :premises (@p4) :args ((@list @t40))) % 0.45/0.69 (step-pop @p275 :rule scope :premises (@p82)) % 0.45/0.69 (step @p83 :rule process_scope :premises (@p275) :args (@t52)) % 0.45/0.69 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.45/0.69 (step @p86 :rule implies_elim :premises (@p85)) % 0.45/0.69 (step @p87 :rule chain_m_resolution :premises (@p86 @p4) :args (@t54 @t35 @t36)) % 0.45/0.69 (step @p88 :rule eq-symm :args (@t55 @t38)) % 0.45/0.69 (step @p89 :rule refl :args (@t56)) % 0.45/0.69 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t56 @t57))) % 0.45/0.69 (step @p91 :rule eq-symm :args (@t57 @t56)) % 0.45/0.69 (step @p92 :rule trans :premises (@p91 @p90)) % 0.45/0.69 (step @p93 :rule cong :premises (@p67 @p92) :args ((=> @t42 @t58))) % 0.45/0.69 (assume-push @p276 @t42) % 0.45/0.69 (step @p95 :rule instantiate :premises (@p59) :args (@t59)) % 0.45/0.69 (step-pop @p277 :rule scope :premises (@p95)) % 0.45/0.69 (step @p96 :rule process_scope :premises (@p277) :args (@t58)) % 0.45/0.69 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.45/0.69 (step @p99 :rule implies_elim :premises (@p98)) % 0.45/0.69 (step @p100 :rule chain_m_resolution :premises (@p99 @p59) :args (@t61 @t35 @t50)) % 0.45/0.69 (step @p101 :rule cnf_equiv_pos1 :args (@t61)) % 0.45/0.69 (step @p102 :rule reordering :premises (@p101) :args ((or @t62 @t60 (not @t61)))) % 0.45/0.69 (step @p103 :rule refl :args (@t64)) % 0.45/0.69 (step @p104 :rule refl :args (@t65)) % 0.45/0.69 (step @p105 :rule bool-double-not-elim :args (@t66)) % 0.45/0.69 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args ((or @t68 @t65 @t64))) % 0.45/0.69 (assume-push @p278 @t67) % 0.45/0.69 (assume-push @p279 @t60) % 0.45/0.69 (assume-push @p280 @t67) % 0.45/0.69 (assume-push @p281 @t60) % 0.45/0.69 (step @p111 :rule false_intro :premises (@p30)) % 0.45/0.69 (step @p112 :rule refl :args (tptp.empty_set)) % 0.45/0.69 (step @p113 :rule symm :premises (@p279)) % 0.45/0.69 (step @p114 :rule cong :premises (@p113 @p112) :args (@t63)) % 0.45/0.69 (step @p115 :rule trans :premises (@p114 @p111)) % 0.45/0.69 (step @p116 :rule false_elim :premises (@p115)) % 0.45/0.69 (step-pop @p282 :rule scope :premises (@p116)) % 0.45/0.69 (step-pop @p283 :rule scope :premises (@p282)) % 0.45/0.69 (step @p117 :rule process_scope :premises (@p283) :args (@t64)) % 0.45/0.69 (step @p120 :rule and_intro :premises (@p30 @p279)) % 0.45/0.69 (step @p121 :rule modus_ponens :premises (@p120 @p117)) % 0.45/0.69 (step-pop @p284 :rule scope :premises (@p121)) % 0.45/0.69 (step-pop @p285 :rule scope :premises (@p284)) % 0.45/0.69 (step @p122 :rule process_scope :premises (@p285) :args (@t64)) % 0.45/0.69 (step @p125 :rule implies_elim :premises (@p122)) % 0.45/0.69 (step @p126 :rule cnf_and_neg :args (@t69)) % 0.45/0.69 (step @p127 :rule resolution :premises (@p126 @p125) :args (true @t69)) % 0.45/0.69 (step @p128 :rule eq_resolve :premises (@p127 @p106)) % 0.45/0.69 (step @p129 :rule reordering :premises (@p128) :args ((or @t66 @t64 @t65))) % 0.45/0.69 (step @p130 :rule bool-and-de-morgan :args (@t27 @t4 true)) % 0.45/0.69 (step @p131 :rule cong :premises (@p130) :args (@t28)) % 0.45/0.69 (step @p132 :rule cong :premises (@p131) :args (@t29)) % 0.45/0.69 (step @p133 :rule eq_resolve :premises (@p10 @p132)) % 0.45/0.69 (step @p134 :rule skolemize :premises (@p133)) % 0.45/0.69 (step @p135 :rule bool-double-not-elim :args (@t71)) % 0.45/0.69 (step @p136 :rule refl :args (@t75)) % 0.45/0.69 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t75 (not @t72)))) % 0.45/0.69 (step @p138 :rule cnf_or_neg :args (@t75 1)) % 0.45/0.69 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.45/0.69 (step @p140 :rule reordering :premises (@p139) :args ((or @t71 @t75))) % 0.45/0.69 (step @p141 :rule chain_m_resolution :premises (@p140 @p134) :args (@t71 @t76 @t77)) % 0.45/0.69 (assume-push @p286 @t71) % 0.45/0.69 (assume-push @p287 @t60) % 0.45/0.69 (assume-push @p288 @t71) % 0.45/0.69 (assume-push @p289 @t60) % 0.45/0.69 (step @p146 :rule true_intro :premises (@p141)) % 0.45/0.69 (step @p147 :rule refl :args (@t70)) % 0.45/0.69 (step @p148 :rule symm :premises (@p287)) % 0.45/0.69 (step @p149 :rule cong :premises (@p148 @p147) :args (@t78)) % 0.45/0.69 (step @p150 :rule trans :premises (@p149 @p146)) % 0.45/0.69 (step @p151 :rule true_elim :premises (@p150)) % 0.45/0.69 (step-pop @p290 :rule scope :premises (@p151)) % 0.45/0.69 (step-pop @p291 :rule scope :premises (@p290)) % 0.45/0.69 (step @p152 :rule process_scope :premises (@p291) :args (@t78)) % 0.45/0.69 (step @p155 :rule and_intro :premises (@p141 @p287)) % 0.45/0.69 (step @p156 :rule modus_ponens :premises (@p155 @p152)) % 0.45/0.69 (step-pop @p292 :rule scope :premises (@p156)) % 0.45/0.69 (step-pop @p293 :rule scope :premises (@p292)) % 0.45/0.69 (step @p157 :rule process_scope :premises (@p293) :args (@t78)) % 0.45/0.69 (step @p160 :rule implies_elim :premises (@p157)) % 0.45/0.69 (step @p161 :rule cnf_and_neg :args (@t79)) % 0.45/0.69 (step @p162 :rule resolution :premises (@p161 @p160) :args (true @t79)) % 0.45/0.69 (step @p163 :rule reordering :premises (@p162) :args ((or @t72 @t78 @t65))) % 0.45/0.69 (step @p164 :rule eq-symm :args (@t80 @t21)) % 0.45/0.69 (step @p165 :rule refl :args (@t21)) % 0.45/0.69 (step @p166 :rule eq-symm :args (@t7 @t6)) % 0.45/0.69 (step @p167 :rule cong :premises (@p166 @p165) :args (@t22)) % 0.45/0.69 (step @p168 :rule trans :premises (@p167 @p164)) % 0.45/0.69 (step @p169 :rule cong :premises (@p168) :args (@t24)) % 0.45/0.69 (step @p170 :rule eq_resolve :premises (@p5 @p169)) % 0.45/0.69 (step @p171 :rule refl :args (@t81)) % 0.45/0.69 (step @p172 :rule eq-symm :args (@t82 tptp.empty_set)) % 0.45/0.69 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t83 @t81))) % 0.45/0.69 (step @p174 :rule eq-symm :args (@t81 @t83)) % 0.45/0.69 (step @p175 :rule trans :premises (@p174 @p173)) % 0.45/0.69 (step @p176 :rule refl :args (@t84)) % 0.45/0.69 (step @p177 :rule cong :premises (@p176 @p175) :args ((=> @t84 @t85))) % 0.45/0.69 (assume-push @p294 @t84) % 0.45/0.69 (step @p179 :rule instantiate :premises (@p170) :args ((@list @t70 @t40 tptp.empty_set))) % 0.45/0.69 (step-pop @p295 :rule scope :premises (@p179)) % 0.45/0.69 (step @p180 :rule process_scope :premises (@p295) :args (@t85)) % 0.45/0.69 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 0.45/0.69 (step @p183 :rule implies_elim :premises (@p182)) % 0.45/0.69 (step @p184 :rule chain_m_resolution :premises (@p183 @p170) :args (@t87 @t35 (@list @t84))) % 0.45/0.69 (step @p185 :rule refl :args (@t88)) % 0.45/0.69 (step @p186 :rule cong :premises (@p185 @p172) :args (@t89)) % 0.45/0.69 (step @p187 :rule refl :args (@t26)) % 0.45/0.69 (step @p188 :rule cong :premises (@p187 @p186) :args ((=> @t26 @t89))) % 0.45/0.69 (assume-push @p296 @t26) % 0.45/0.69 (step @p190 :rule instantiate :premises (@p6) :args ((@list @t70 @t40))) % 0.45/0.69 (step-pop @p297 :rule scope :premises (@p190)) % 0.45/0.69 (step @p191 :rule process_scope :premises (@p297) :args (@t89)) % 0.45/0.69 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 0.45/0.69 (step @p194 :rule implies_elim :premises (@p193)) % 0.45/0.69 (step @p195 :rule chain_m_resolution :premises (@p194 @p6) :args (@t90 @t35 (@list @t26))) % 0.45/0.69 (step @p196 :rule bool-impl-elim :args (@t25 @t31)) % 0.45/0.69 (step @p197 :rule cong :premises (@p196) :args (@t32)) % 0.45/0.69 (step @p198 :rule eq_resolve :premises (@p13 @p197)) % 0.45/0.69 (step @p199 :rule instantiate :premises (@p198) :args ((@list @t40 @t70))) % 0.45/0.69 (step @p200 :rule bool-double-not-elim :args (@t73)) % 0.45/0.69 (step @p201 :rule nary_cong :premises (@p136 @p200) :args ((or @t75 (not @t74)))) % 0.45/0.69 (step @p202 :rule cnf_or_neg :args (@t75 0)) % 0.45/0.69 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.45/0.69 (step @p204 :rule reordering :premises (@p203) :args ((or @t73 @t75))) % 0.45/0.69 (step @p205 :rule chain_m_resolution :premises (@p204 @p134) :args (@t73 @t76 @t77)) % 0.45/0.69 (step @p206 :rule cnf_or_pos :args (@t91)) % 0.45/0.69 (step @p207 :rule reordering :premises (@p206) :args ((or @t74 @t88 (not @t91)))) % 0.45/0.69 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p199) :args (@t88 @t92 (@list @t73 @t91))) % 0.45/0.69 (step @p209 :rule cnf_equiv_pos1 :args (@t90)) % 0.45/0.69 (step @p210 :rule reordering :premises (@p209) :args ((or (not @t88) @t86 (not @t90)))) % 0.45/0.69 (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p195) :args (@t86 @t92 (@list @t88 @t90))) % 0.45/0.69 (step @p212 :rule cnf_equiv_pos1 :args (@t87)) % 0.45/0.69 (step @p213 :rule reordering :premises (@p212) :args ((or (not @t86) @t81 (not @t87)))) % 0.45/0.69 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p184) :args (@t81 @t92 (@list @t86 @t87))) % 0.45/0.69 (step @p215 :rule instantiate :premises (@p214) :args (@t59)) % 0.45/0.69 (step @p216 :rule cnf_equiv_pos2 :args (@t94)) % 0.45/0.69 (step @p217 :rule reordering :premises (@p216) :args ((or @t63 (not @t93) (not @t94)))) % 0.45/0.69 (step @p218 :rule cnf_and_neg :args (@t93)) % 0.45/0.69 (step @p219 :rule reordering :premises (@p218) :args ((or @t62 @t93 (not @t78)))) % 0.45/0.69 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p215 @p163 @p141 @p129 @p30 @p102 @p100) :args (@t62 (@list true false false false true true false false) (@list @t93 @t94 @t78 @t71 @t63 @t66 @t60 @t61))) % 0.45/0.69 (step @p221 :rule bool-double-not-elim :args (@t51)) % 0.45/0.69 (step @p222 :rule nary_cong :premises (@p221 @p89) :args ((or (not @t95) @t56))) % 0.45/0.69 (step @p223 :rule bool-double-not-elim :args (@t56)) % 0.45/0.69 (step @p224 :rule refl :args (@t95)) % 0.45/0.69 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t95 @t96))) % 0.45/0.70 (assume-push @p298 @t95) % 0.45/0.70 (step @p227 :rule skolemize :premises (@p298)) % 0.45/0.70 (step-pop @p299 :rule scope :premises (@p227)) % 0.45/0.70 (step @p228 :rule process_scope :premises (@p299) :args (@t96)) % 0.45/0.70 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 0.45/0.70 (step @p231 :rule implies_elim :premises (@p230)) % 0.45/0.70 (step @p232 :rule eq_resolve :premises (@p231 @p222)) % 0.45/0.70 (step @p233 :rule chain_m_resolution :premises (@p232 @p220) :args (@t51 @t76 (@list @t56))) % 0.45/0.70 (step @p234 :rule cnf_equiv_pos2 :args (@t54)) % 0.45/0.70 (step @p235 :rule reordering :premises (@p234) :args ((or @t53 @t95 (not @t54)))) % 0.45/0.70 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p87) :args (@t53 @t92 (@list @t51 @t54))) % 0.45/0.70 (step @p237 :rule refl :args (@t97)) % 0.45/0.70 (step @p238 :rule refl :args (@t98)) % 0.45/0.70 (step @p239 :rule nary_cong :premises (@p238 @p105 @p237) :args ((or @t98 @t68 @t97))) % 0.45/0.70 (assume-push @p300 @t67) % 0.45/0.70 (assume-push @p301 @t53) % 0.45/0.70 (assume-push @p302 @t47) % 0.45/0.70 (step @p243 :rule evaluate :args ((= true false))) % 0.45/0.70 (step @p111 :rule false_intro :premises (@p30)) % 0.45/0.70 (step @p244 :rule symm :premises (@p301)) % 0.45/0.70 (step @p245 :rule refl :args (@t38)) % 0.45/0.70 (step @p246 :rule cong :premises (@p245 @p244) :args (@t47)) % 0.45/0.70 (step @p247 :rule true_intro :premises (@p76)) % 0.45/0.70 (step @p248 :rule symm :premises (@p247)) % 0.45/0.70 (step @p249 :rule trans :premises (@p248 @p246 @p111)) % 0.45/0.70 (step @p250 false :rule eq_resolve :premises (@p249 @p243)) % 0.45/0.70 (step-pop @p303 :rule scope :premises (@p250)) % 0.45/0.70 (step-pop @p304 :rule scope :premises (@p303)) % 0.45/0.70 (step-pop @p305 :rule scope :premises (@p304)) % 0.45/0.70 (step @p251 :rule process_scope :premises (@p305) :args (false)) % 0.45/0.70 (assume-push @p306 @t53) % 0.45/0.70 (assume-push @p307 @t67) % 0.45/0.70 (assume-push @p308 @t47) % 0.45/0.70 (step @p258 :rule and_intro :premises (@p30 @p306 @p76)) % 0.45/0.70 (step-pop @p309 :rule scope :premises (@p258)) % 0.45/0.70 (step-pop @p310 :rule scope :premises (@p309)) % 0.45/0.70 (step-pop @p311 :rule scope :premises (@p310)) % 0.45/0.70 (step @p259 :rule process_scope :premises (@p311) :args (@t99)) % 0.45/0.70 (step @p263 :rule implies_elim :premises (@p259)) % 0.45/0.70 (step @p264 :rule resolution :premises (@p263 @p251) :args (true @t99)) % 0.45/0.70 (step @p265 :rule not_and :premises (@p264)) % 0.45/0.70 (step @p266 :rule eq_resolve :premises (@p265 @p239)) % 0.45/0.70 (step @p267 false :rule chain_m_resolution :premises (@p266 @p236 @p76 @p30) :args (false (@list false false true) (@list @t53 @t47 @t66))) % 0.45/0.70 ) % 0.45/0.70 % SZS output end Proof % 0.45/0.70 % cvc5 exiting %------------------------------------------------------------------------------