%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO213^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 09:12:14 AM UTC 2026 % Result : Theorem 2.52s 2.74s % Output : Proof 2.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO213^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n006.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Wed Jun 3 00:00:49 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.52 %----Proving TH0 % 2.52/2.74 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.52/2.74 % SZS status Theorem % 2.52/2.74 % SZS output start Proof % 2.52/2.74 ( % 2.52/2.74 (declare-sort tptp.a 0) % 2.52/2.74 (define @t1 () (@var "Xf" (-> tptp.a Bool))) % 2.52/2.74 (define @t2 () (@var "Xp" (-> Bool Bool))) % 2.52/2.74 (define @t3 () (@var "Xj" tptp.a)) % 2.52/2.74 (define @t4 () (@var "Xg" (-> tptp.a tptp.a Bool))) % 2.52/2.74 (define @t5 () (_ @t4 @t3)) % 2.52/2.74 (define @t6 () (=> (_ @t2 (= @t5 @t1)) (_ @t2 (= @t1 @t1)))) % 2.52/2.74 (define @t7 () (@list @t2)) % 2.52/2.74 (define @t8 () (forall @t7 @t6)) % 2.52/2.74 (define @t9 () (@list @t3)) % 2.52/2.74 (define @t10 () (exists @t9 @t8)) % 2.52/2.74 (define @t11 () (@list @t1)) % 2.52/2.74 (define @t12 () (forall @t11 @t10)) % 2.52/2.74 (define @t13 () (@list @t4)) % 2.52/2.74 (define @t14 () (exists @t13 @t12)) % 2.52/2.74 (define @t15 () (_ @t2 true)) % 2.52/2.74 (define @t16 () (= @t1 @t5)) % 2.52/2.74 (define @t17 () (_ @t2 @t16)) % 2.52/2.74 (define @t18 () (forall @t7 (or (not @t17) @t15))) % 2.52/2.74 (define @t19 () (not (forall @t9 (not @t18)))) % 2.52/2.74 (define @t20 () (forall @t11 @t19)) % 2.52/2.74 (define @t21 () (forall @t13 (not @t20))) % 2.52/2.74 (define @t22 () (not @t21)) % 2.52/2.74 (define @t23 () (_ @t2 true)) % 2.52/2.74 (define @t24 () (_ @t2 @t16)) % 2.52/2.74 (define @t25 () (not @t24)) % 2.52/2.74 (define @t26 () (or @t25 @t23)) % 2.52/2.74 (define @t27 () (@quantifiers_skolemize @t21 0)) % 2.52/2.74 (define @t28 () (_ @t27 @t3)) % 2.52/2.74 (define @t29 () (forall @t11 (not (forall @t9 (not (forall @t7 (or (not (_ @t2 (= @t1 @t28))) @t15))))))) % 2.52/2.74 (define @t30 () (not (not @t29))) % 2.52/2.74 (define @t31 () (@list true)) % 2.52/2.74 (define @t32 () (@var "BOUND_VARIABLE_14696" tptp.a)) % 2.52/2.74 (define @t33 () (not (_ @t27 @t32 @t32))) % 2.52/2.74 (define @t34 () (@list @t32)) % 2.52/2.74 (define @t35 () (lambda @t34 @t33)) % 2.52/2.74 (define @t36 () (_ @t2 (= @t35 @t28))) % 2.52/2.74 (define @t37 () (not @t36)) % 2.52/2.74 (define @t38 () (or @t37 @t15)) % 2.52/2.74 (define @t39 () (forall @t7 @t38)) % 2.52/2.74 (define @t40 () (not @t39)) % 2.52/2.74 (define @t41 () (forall @t9 @t40)) % 2.52/2.74 (define @t42 () (not @t41)) % 2.52/2.74 (define @t43 () (forall @t9 (not (forall @t7 (or (not (_ @t2 (= @t28 @t35))) @t15))))) % 2.52/2.74 (define @t44 () (not @t43)) % 2.52/2.74 (define @t45 () (@list false)) % 2.52/2.74 (define @t46 () (@quantifiers_skolemize @t43 0)) % 2.52/2.74 (define @t47 () (_ @t27 @t46)) % 2.52/2.74 (define @t48 () (= @t35 @t47)) % 2.52/2.74 (define @t49 () (forall @t7 (or (not (_ @t2 @t48)) @t15))) % 2.52/2.74 (define @t50 () (_ @t2 (= @t47 @t35))) % 2.52/2.74 (define @t51 () (not @t50)) % 2.52/2.74 (define @t52 () (or @t51 @t15)) % 2.52/2.74 (define @t53 () (forall @t7 @t52)) % 2.52/2.74 (define @t54 () (not (not @t53))) % 2.52/2.74 (define @t55 () (@purify @t35)) % 2.52/2.74 (define @t56 () (= true true)) % 2.52/2.74 (define @t57 () (not @t56)) % 2.52/2.74 (define @t58 () (ite @t56 false true)) % 2.52/2.74 (define @t59 () (@var "BOUND_VARIABLE_50121" Bool)) % 2.52/2.74 (define @t60 () (lambda (@list @t59) (ite (= @t59 true) false true))) % 2.52/2.74 (define @t61 () (_ @t60 true)) % 2.52/2.74 (define @t62 () (= @t48 true)) % 2.52/2.74 (define @t63 () (not @t62)) % 2.52/2.74 (define @t64 () (_ @t60 @t48)) % 2.52/2.74 (define @t65 () (not @t64)) % 2.52/2.74 (define @t66 () (or @t65 @t61)) % 2.52/2.74 (define @t67 () (= @t47 @t55)) % 2.52/2.74 (define @t68 () (_ @t55 @t32)) % 2.52/2.74 (define @t69 () (_ @t35 @t32)) % 2.52/2.74 (define @t70 () (= @t68 @t69)) % 2.52/2.74 (define @t71 () (forall @t34 @t70)) % 2.52/2.74 (define @t72 () (_ @t55 @t46)) % 2.52/2.74 (define @t73 () (_ @t27 @t46 @t46)) % 2.52/2.74 (define @t74 () (not @t73)) % 2.52/2.74 (define @t75 () (= @t74 @t72)) % 2.52/2.74 (define @t76 () (not @t75)) % 2.52/2.74 (define @t77 () (not @t74)) % 2.52/2.74 (define @t78 () (not @t72)) % 2.52/2.74 (define @t79 () (not @t67)) % 2.52/2.74 (define @t80 () (and @t72 @t74 @t67)) % 2.52/2.74 (define @t81 () (and @t78 @t73 @t67)) % 2.52/2.74 (assume @p1 (not (not @t14))) % 2.52/2.74 (assume @p2 true) % 2.52/2.74 (step @p3 :rule exists-elim :args ((= (exists @t13 @t20) @t22))) % 2.52/2.74 (step @p4 :rule exists-elim :args ((= (exists @t9 @t18) @t19))) % 2.52/2.74 (step @p5 :rule refl :args (@t15)) % 2.52/2.74 (step @p6 :rule refl :args (@t23)) % 2.52/2.74 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t23 @t15))) % 2.52/2.74 (step @p8 :rule symm :premises (@p7)) % 2.52/2.74 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 2.52/2.74 (step @p10 :rule refl :args (@t17)) % 2.52/2.74 (step @p11 :rule refl :args (@t24)) % 2.52/2.74 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t24 @t17))) % 2.52/2.74 (step @p13 :rule symm :premises (@p12)) % 2.52/2.74 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 2.52/2.74 (step @p15 :rule cong :premises (@p14) :args (@t25)) % 2.52/2.74 (step @p16 :rule nary_cong :premises (@p15 @p9) :args (@t26)) % 2.52/2.74 (step @p17 :rule cong :premises (@p16) :args ((forall @t7 @t26))) % 2.52/2.74 (step @p18 :rule bool-impl-elim :args (@t24 @t23)) % 2.52/2.74 (step @p19 :rule cong :premises (@p18) :args ((forall @t7 (=> @t24 @t23)))) % 2.52/2.74 (step @p20 :rule trans :premises (@p19 @p17)) % 2.52/2.74 (step @p21 :rule eq-refl :args (@t1)) % 2.52/2.74 (step @p22 :rule refl :args (@t2)) % 2.52/2.74 (step @p23 :rule ho_cong :premises (@p22 @p21)) % 2.52/2.74 (step @p24 :rule eq-symm :args (@t5 @t1)) % 2.52/2.74 (step @p25 :rule ho_cong :premises (@p22 @p24)) % 2.52/2.74 (step @p26 :rule cong :premises (@p25 @p23) :args (@t6)) % 2.52/2.74 (step @p27 :rule cong :premises (@p26) :args (@t8)) % 2.52/2.74 (step @p28 :rule trans :premises (@p27 @p20)) % 2.52/2.74 (step @p29 :rule cong :premises (@p28) :args (@t10)) % 2.52/2.74 (step @p30 :rule trans :premises (@p29 @p4)) % 2.52/2.74 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 2.52/2.74 (step @p32 :rule cong :premises (@p31) :args (@t14)) % 2.52/2.74 (step @p33 :rule trans :premises (@p32 @p3)) % 2.52/2.74 (step @p34 :rule bool-double-not-elim :args (@t14)) % 2.52/2.74 (step @p35 :rule trans :premises (@p34 @p33)) % 2.52/2.74 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 2.52/2.74 (step @p37 :rule refl :args (@t29)) % 2.52/2.74 (step @p38 :rule bool-double-not-elim :args (@t21)) % 2.52/2.74 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t22) @t29))) % 2.52/2.74 (step @p40 :rule bool-double-not-elim :args (@t29)) % 2.52/2.74 (step @p41 :rule refl :args (@t22)) % 2.52/2.74 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t22 @t30))) % 2.52/2.74 (assume-push @p226 @t22) % 2.52/2.74 (step @p44 :rule skolemize :premises (@p36)) % 2.52/2.74 (step-pop @p227 :rule scope :premises (@p44)) % 2.52/2.74 (step @p45 :rule process_scope :premises (@p227) :args (@t30)) % 2.52/2.74 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 2.52/2.74 (step @p48 :rule implies_elim :premises (@p47)) % 2.52/2.74 (step @p49 :rule eq_resolve :premises (@p48 @p39)) % 2.52/2.74 (step @p50 :rule chain_m_resolution :premises (@p49 @p36) :args (@t29 @t31 (@list @t21))) % 2.52/2.74 (step @p51 :rule refl :args (@t15)) % 2.52/2.74 (step @p52 :rule eq-symm :args (@t35 @t28)) % 2.52/2.74 (step @p53 :rule cong :premises (@p52) :args (@t36)) % 2.52/2.74 (step @p54 :rule cong :premises (@p53) :args (@t37)) % 2.52/2.74 (step @p55 :rule nary_cong :premises (@p54 @p51) :args (@t38)) % 2.52/2.74 (step @p56 :rule cong :premises (@p55) :args (@t39)) % 2.52/2.74 (step @p57 :rule cong :premises (@p56) :args (@t40)) % 2.52/2.74 (step @p58 :rule cong :premises (@p57) :args (@t41)) % 2.52/2.74 (step @p59 :rule cong :premises (@p58) :args (@t42)) % 2.52/2.74 (step @p60 :rule cong :premises (@p37 @p59) :args ((=> @t29 @t42))) % 2.52/2.74 (assume-push @p228 @t29) % 2.52/2.74 (step @p62 :rule instantiate :premises (@p50) :args ((@list @t35))) % 2.52/2.74 (step-pop @p229 :rule scope :premises (@p62)) % 2.52/2.74 (step @p63 :rule process_scope :premises (@p229) :args (@t42)) % 2.52/2.74 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 2.52/2.74 (step @p66 :rule implies_elim :premises (@p65)) % 2.52/2.74 (step @p67 :rule chain_m_resolution :premises (@p66 @p50) :args (@t44 @t45 (@list @t29))) % 2.52/2.74 (step @p68 :rule refl :args (@t49)) % 2.52/2.74 (step @p69 :rule bool-double-not-elim :args (@t43)) % 2.52/2.74 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t44) @t49))) % 2.52/2.74 (step @p71 :rule eq-symm :args (@t47 @t35)) % 2.52/2.74 (step @p72 :rule cong :premises (@p71) :args (@t50)) % 2.52/2.74 (step @p73 :rule cong :premises (@p72) :args (@t51)) % 2.52/2.74 (step @p74 :rule nary_cong :premises (@p73 @p51) :args (@t52)) % 2.52/2.74 (step @p75 :rule cong :premises (@p74) :args (@t53)) % 2.52/2.74 (step @p76 :rule bool-double-not-elim :args (@t53)) % 2.52/2.74 (step @p77 :rule trans :premises (@p76 @p75)) % 2.52/2.74 (step @p78 :rule refl :args (@t44)) % 2.52/2.74 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t44 @t54))) % 2.52/2.74 (assume-push @p230 @t44) % 2.52/2.74 (step @p81 :rule skolemize :premises (@p67)) % 2.52/2.74 (step-pop @p231 :rule scope :premises (@p81)) % 2.52/2.74 (step @p82 :rule process_scope :premises (@p231) :args (@t54)) % 2.52/2.74 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 2.52/2.74 (step @p85 :rule implies_elim :premises (@p84)) % 2.52/2.74 (step @p86 :rule eq_resolve :premises (@p85 @p70)) % 2.52/2.74 (step @p87 :rule chain_m_resolution :premises (@p86 @p67) :args (@t49 @t31 (@list @t43))) % 2.52/2.74 (step @p88 :rule eq-symm :args (@t55 @t47)) % 2.52/2.74 (step @p89 :rule refl :args (@t47)) % 2.52/2.74 (step @p90 :rule eq-refl :args (@t35)) % 2.52/2.74 (step @p91 :rule skolem_intro :args (@t55)) % 2.52/2.74 (step @p92 :rule refl :args (@t35)) % 2.52/2.74 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t35 @t55))) % 2.52/2.74 (step @p94 :rule trans :premises (@p93 @p90)) % 2.52/2.74 (step @p95 :rule true_elim :premises (@p94)) % 2.52/2.74 (step @p96 :rule cong :premises (@p95 @p89) :args (@t48)) % 2.52/2.74 (step @p97 :rule trans :premises (@p96 @p88)) % 2.52/2.74 (step @p98 :rule cong :premises (@p68 @p97) :args ((=> @t49 @t48))) % 2.52/2.74 (step @p99 :rule aci_norm :args ((= (or @t48 false) @t48))) % 2.52/2.74 (step @p100 :rule evaluate :args ((not true))) % 2.52/2.74 (step @p101 :rule evaluate :args (@t56)) % 2.52/2.74 (step @p102 :rule cong :premises (@p101) :args (@t57)) % 2.52/2.74 (step @p103 :rule trans :premises (@p102 @p100)) % 2.52/2.74 (step @p104 :rule evaluate :args (@t57)) % 2.52/2.74 (step @p105 :rule symm :premises (@p104)) % 2.52/2.74 (step @p106 :rule evaluate :args (@t58)) % 2.52/2.74 (step @p107 :rule trans :premises (@p106 @p105)) % 2.52/2.74 (step @p108 :rule trans :premises (@p107 @p103)) % 2.52/2.74 (step @p109 :rule beta-reduce :args ((= @t61 @t58))) % 2.52/2.74 (step @p110 :rule trans :premises (@p109 @p108)) % 2.52/2.74 (step @p111 :rule bool-double-not-elim :args (@t48)) % 2.52/2.74 (step @p112 :rule bool-eq-true :args (@t48)) % 2.52/2.74 (step @p113 :rule cong :premises (@p112) :args (@t63)) % 2.52/2.74 (step @p114 :rule aci_norm :args ((= (and @t63 true) @t63))) % 2.52/2.74 (step @p115 :rule ite-then-false :args (@t62 true)) % 2.52/2.74 (step @p116 :rule trans :premises (@p115 @p114)) % 2.52/2.74 (step @p117 :rule trans :premises (@p116 @p113)) % 2.52/2.74 (step @p118 :rule beta-reduce :args ((= @t64 (ite @t62 false true)))) % 2.52/2.74 (step @p119 :rule trans :premises (@p118 @p117)) % 2.52/2.74 (step @p120 :rule cong :premises (@p119) :args (@t65)) % 2.52/2.74 (step @p121 :rule trans :premises (@p120 @p111)) % 2.52/2.74 (step @p122 :rule nary_cong :premises (@p121 @p110) :args (@t66)) % 2.52/2.74 (step @p123 :rule trans :premises (@p122 @p99)) % 2.52/2.74 (step @p124 :rule cong :premises (@p68 @p123) :args ((=> @t49 @t66))) % 2.52/2.74 (assume-push @p232 @t49) % 2.52/2.74 (step @p126 :rule instantiate :premises (@p87) :args ((@list @t60))) % 2.52/2.74 (step-pop @p233 :rule scope :premises (@p126)) % 2.52/2.74 (step @p127 :rule process_scope :premises (@p233) :args (@t66)) % 2.52/2.74 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 2.52/2.74 (step @p130 :rule eq_resolve :premises (@p129 @p98)) % 2.52/2.74 (step @p131 :rule implies_elim :premises (@p130)) % 2.52/2.74 (step @p132 :rule chain_m_resolution :premises (@p131 @p87) :args (@t67 @t45 (@list @t49))) % 2.52/2.74 (step @p133 :rule eq-symm :args (@t68 @t33)) % 2.52/2.74 (step @p134 :rule beta-reduce :args ((= @t69 @t33))) % 2.52/2.74 (step @p135 :rule refl :args (@t68)) % 2.52/2.74 (step @p136 :rule cong :premises (@p135 @p134) :args (@t70)) % 2.52/2.74 (step @p137 :rule trans :premises (@p136 @p133)) % 2.52/2.74 (step @p138 :rule cong :premises (@p137) :args (@t71)) % 2.52/2.74 (step @p139 :rule quant-unused-vars :args ((= (forall @t34 true) true))) % 2.52/2.74 (step @p140 :rule eq-refl :args (@t69)) % 2.52/2.74 (step @p141 :rule cong :premises (@p140) :args ((forall @t34 (= @t69 @t69)))) % 2.52/2.74 (step @p142 :rule trans :premises (@p141 @p139)) % 2.52/2.74 (step @p143 :rule refl :args (@t69)) % 2.52/2.74 (step @p144 :rule refl :args (@t32)) % 2.52/2.74 (step @p145 :rule ho_cong :premises (@p91 @p144)) % 2.52/2.74 (step @p146 :rule cong :premises (@p145 @p143) :args (@t70)) % 2.52/2.74 (step @p147 :rule cong :premises (@p146) :args (@t71)) % 2.52/2.74 (step @p148 :rule trans :premises (@p147 @p142)) % 2.52/2.74 (step @p149 :rule true_elim :premises (@p148)) % 2.52/2.74 (step @p150 :rule eq_resolve :premises (@p149 @p138)) % 2.52/2.74 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t46))) % 2.52/2.74 (step @p152 :rule refl :args (@t72)) % 2.52/2.74 (step @p153 :rule bool-double-not-elim :args (@t73)) % 2.52/2.74 (step @p154 :rule refl :args (@t76)) % 2.52/2.74 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args ((or @t76 @t77 @t72))) % 2.52/2.74 (step @p156 :rule cnf_equiv_pos1 :args (@t75)) % 2.52/2.74 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 2.52/2.74 (step @p158 :rule reordering :premises (@p157) :args ((or @t73 @t72 @t76))) % 2.52/2.74 (step @p159 :rule refl :args (@t78)) % 2.52/2.74 (step @p160 :rule refl :args (@t79)) % 2.52/2.74 (step @p161 :rule nary_cong :premises (@p160 @p153 @p159) :args ((or @t79 @t77 @t78))) % 2.52/2.74 (assume-push @p234 @t72) % 2.52/2.74 (assume-push @p235 @t74) % 2.52/2.74 (assume-push @p236 @t67) % 2.52/2.74 (step @p165 :rule evaluate :args ((= true false))) % 2.52/2.74 (step @p166 :rule false_intro :premises (@p235)) % 2.52/2.74 (step @p167 :rule refl :args (@t73)) % 2.52/2.74 (step @p168 :rule symm :premises (@p167)) % 2.52/2.74 (step @p169 :rule refl :args (@t46)) % 2.52/2.74 (step @p170 :rule symm :premises (@p132)) % 2.52/2.74 (step @p171 :rule ho_cong :premises (@p170 @p169)) % 2.52/2.74 (step @p172 :rule refl :args (@t72)) % 2.52/2.74 (step @p173 :rule true_intro :premises (@p234)) % 2.52/2.74 (step @p174 :rule symm :premises (@p173)) % 2.52/2.74 (step @p175 :rule trans :premises (@p174 @p172 @p171 @p168 @p166)) % 2.52/2.74 (step @p176 false :rule eq_resolve :premises (@p175 @p165)) % 2.52/2.74 (step-pop @p237 :rule scope :premises (@p176)) % 2.52/2.74 (step-pop @p238 :rule scope :premises (@p237)) % 2.52/2.74 (step-pop @p239 :rule scope :premises (@p238)) % 2.52/2.75 (step @p177 :rule process_scope :premises (@p239) :args (false)) % 2.52/2.75 (assume-push @p240 @t67) % 2.52/2.75 (assume-push @p241 @t74) % 2.52/2.75 (assume-push @p242 @t72) % 2.52/2.75 (step @p184 :rule and_intro :premises (@p242 @p241 @p132)) % 2.52/2.75 (step-pop @p243 :rule scope :premises (@p184)) % 2.52/2.75 (step-pop @p244 :rule scope :premises (@p243)) % 2.52/2.75 (step-pop @p245 :rule scope :premises (@p244)) % 2.52/2.75 (step @p185 :rule process_scope :premises (@p245) :args (@t80)) % 2.52/2.75 (step @p189 :rule implies_elim :premises (@p185)) % 2.52/2.75 (step @p190 :rule resolution :premises (@p189 @p177) :args (true @t80)) % 2.52/2.75 (step @p191 :rule not_and :premises (@p190)) % 2.52/2.75 (step @p192 :rule eq_resolve :premises (@p191 @p161)) % 2.52/2.75 (step @p193 :rule chain_m_resolution :premises (@p192 @p132 @p158 @p151) :args (@t73 (@list false false false) (@list @t67 @t72 @t75))) % 2.52/2.75 (step @p194 :rule cnf_equiv_pos2 :args (@t75)) % 2.52/2.75 (step @p195 :rule reordering :premises (@p194) :args ((or @t74 @t78 @t76))) % 2.52/2.75 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p151) :args (@t78 (@list false false) (@list @t73 @t75))) % 2.52/2.75 (step @p197 :rule bool-double-not-elim :args (@t72)) % 2.52/2.75 (step @p198 :rule refl :args (@t74)) % 2.52/2.75 (step @p199 :rule nary_cong :premises (@p160 @p198 @p197) :args ((or @t79 @t74 (not @t78)))) % 2.52/2.75 (assume-push @p246 @t78) % 2.52/2.75 (assume-push @p247 @t73) % 2.52/2.75 (assume-push @p248 @t67) % 2.52/2.75 (step @p203 :rule evaluate :args ((= false true))) % 2.52/2.75 (step @p204 :rule true_intro :premises (@p247)) % 2.52/2.75 (step @p167 :rule refl :args (@t73)) % 2.52/2.75 (step @p168 :rule symm :premises (@p167)) % 2.52/2.75 (step @p169 :rule refl :args (@t46)) % 2.52/2.75 (step @p170 :rule symm :premises (@p132)) % 2.52/2.75 (step @p171 :rule ho_cong :premises (@p170 @p169)) % 2.52/2.75 (step @p172 :rule refl :args (@t72)) % 2.52/2.75 (step @p205 :rule false_intro :premises (@p246)) % 2.52/2.75 (step @p206 :rule symm :premises (@p205)) % 2.52/2.75 (step @p207 :rule trans :premises (@p206 @p172 @p171 @p168 @p204)) % 2.52/2.75 (step @p208 false :rule eq_resolve :premises (@p207 @p203)) % 2.52/2.75 (step-pop @p249 :rule scope :premises (@p208)) % 2.52/2.75 (step-pop @p250 :rule scope :premises (@p249)) % 2.52/2.75 (step-pop @p251 :rule scope :premises (@p250)) % 2.52/2.75 (step @p209 :rule process_scope :premises (@p251) :args (false)) % 2.52/2.75 (assume-push @p252 @t67) % 2.52/2.75 (assume-push @p253 @t73) % 2.52/2.75 (assume-push @p254 @t78) % 2.52/2.75 (step @p216 :rule and_intro :premises (@p254 @p253 @p132)) % 2.52/2.75 (step-pop @p255 :rule scope :premises (@p216)) % 2.52/2.75 (step-pop @p256 :rule scope :premises (@p255)) % 2.52/2.75 (step-pop @p257 :rule scope :premises (@p256)) % 2.52/2.75 (step @p217 :rule process_scope :premises (@p257) :args (@t81)) % 2.52/2.75 (step @p221 :rule implies_elim :premises (@p217)) % 2.52/2.75 (step @p222 :rule resolution :premises (@p221 @p209) :args (true @t81)) % 2.52/2.75 (step @p223 :rule not_and :premises (@p222)) % 2.52/2.75 (step @p224 :rule eq_resolve :premises (@p223 @p199)) % 2.52/2.75 (step @p225 false :rule chain_m_resolution :premises (@p224 @p196 @p193 @p132) :args (false (@list true false false) (@list @t72 @t73 @t67))) % 2.52/2.75 ) % 2.52/2.75 % SZS output end Proof % 2.52/2.75 % cvc5 exiting %------------------------------------------------------------------------------