%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN075+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:08:00 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN075+1 : TPTP v9.2.1. Released v2.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:20:00 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "W" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t3 () (= @t2 @t1)) % 0.39/0.59 (define @t4 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t5 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t6 () (= @t5 @t4)) % 0.39/0.59 (define @t7 () (and @t6 @t3)) % 0.39/0.59 (define @t8 () (tptp.big_f @t5 @t2)) % 0.39/0.59 (define @t9 () (= @t8 @t7)) % 0.39/0.59 (define @t10 () (@list @t5 @t2)) % 0.39/0.59 (define @t11 () (forall @t10 @t9)) % 0.39/0.59 (define @t12 () (@list @t4 @t1)) % 0.39/0.59 (define @t13 () (exists @t12 @t11)) % 0.39/0.59 (define @t14 () (= @t8 @t6)) % 0.39/0.59 (define @t15 () (@list @t5)) % 0.39/0.59 (define @t16 () (forall @t15 @t14)) % 0.39/0.59 (define @t17 () (@list @t4)) % 0.39/0.59 (define @t18 () (exists @t17 @t16)) % 0.39/0.59 (define @t19 () (@list @t2)) % 0.39/0.59 (define @t20 () (forall @t19 (= @t18 @t3))) % 0.39/0.59 (define @t21 () (@list @t1)) % 0.39/0.59 (define @t22 () (exists @t21 @t20)) % 0.39/0.59 (define @t23 () (not @t22)) % 0.39/0.59 (define @t24 () (= @t4 @t5)) % 0.39/0.59 (define @t25 () (forall @t15 (= @t8 @t24))) % 0.39/0.59 (define @t26 () (not (forall @t17 (not @t25)))) % 0.39/0.59 (define @t27 () (= @t1 @t2)) % 0.39/0.59 (define @t28 () (forall @t19 (= @t27 @t26))) % 0.39/0.59 (define @t29 () (forall @t21 (not @t28))) % 0.39/0.59 (define @t30 () (forall @t10 (= @t8 (and @t24 @t27)))) % 0.39/0.59 (define @t31 () (forall @t12 (not @t30))) % 0.39/0.59 (define @t32 () (@quantifiers_skolemize @t31 1)) % 0.39/0.59 (define @t33 () (= @t32 @t2)) % 0.39/0.59 (define @t34 () (forall @t19 (= @t33 @t26))) % 0.39/0.59 (define @t35 () (not @t34)) % 0.39/0.59 (define @t36 () (= @t2 @t32)) % 0.39/0.59 (define @t37 () (forall @t19 (= @t26 @t36))) % 0.39/0.59 (define @t38 () (not @t37)) % 0.39/0.59 (define @t39 () (@list false)) % 0.39/0.59 (define @t40 () (@quantifiers_skolemize @t37 0)) % 0.39/0.59 (define @t41 () (= @t32 @t40)) % 0.39/0.59 (define @t42 () (tptp.big_f @t5 @t40)) % 0.39/0.59 (define @t43 () (forall @t17 (not (forall @t15 (= @t24 @t42))))) % 0.39/0.59 (define @t44 () (not @t43)) % 0.39/0.59 (define @t45 () (= @t44 @t41)) % 0.39/0.59 (define @t46 () (not @t45)) % 0.39/0.59 (define @t47 () (forall @t15 (= @t42 @t24))) % 0.39/0.59 (define @t48 () (not @t47)) % 0.39/0.59 (define @t49 () (forall @t17 @t48)) % 0.39/0.59 (define @t50 () (not @t49)) % 0.39/0.59 (define @t51 () (= @t40 @t32)) % 0.39/0.59 (define @t52 () (= @t50 @t51)) % 0.39/0.59 (define @t53 () (not @t52)) % 0.39/0.59 (define @t54 () (@list true)) % 0.39/0.59 (define @t55 () (not @t41)) % 0.39/0.59 (define @t56 () (not @t44)) % 0.39/0.59 (define @t57 () (@quantifiers_skolemize @t31 0)) % 0.39/0.59 (define @t58 () (= @t57 @t5)) % 0.39/0.59 (define @t59 () (= @t58 @t42)) % 0.39/0.59 (define @t60 () (forall @t15 @t59)) % 0.39/0.59 (define @t61 () (not @t60)) % 0.39/0.59 (define @t62 () (= @t5 @t57)) % 0.39/0.59 (define @t63 () (forall @t15 (= @t62 @t42))) % 0.39/0.59 (define @t64 () (@quantifiers_skolemize @t63 0)) % 0.39/0.59 (define @t65 () (= @t57 @t64)) % 0.39/0.59 (define @t66 () (tptp.big_f @t64 @t40)) % 0.39/0.59 (define @t67 () (= @t66 @t65)) % 0.39/0.59 (define @t68 () (not @t67)) % 0.39/0.59 (define @t69 () (not @t63)) % 0.39/0.59 (define @t70 () (= @t64 @t57)) % 0.39/0.59 (define @t71 () (= @t70 @t66)) % 0.39/0.59 (define @t72 () (not @t71)) % 0.39/0.59 (define @t73 () (not @t31)) % 0.39/0.59 (define @t74 () (forall @t10 (= @t8 (and @t62 @t36)))) % 0.39/0.59 (define @t75 () (and @t58 @t33)) % 0.39/0.59 (define @t76 () (= @t8 @t75)) % 0.39/0.59 (define @t77 () (forall @t10 @t76)) % 0.39/0.59 (define @t78 () (not (not @t77))) % 0.39/0.59 (define @t79 () (and @t70 @t51)) % 0.39/0.59 (define @t80 () (= @t66 @t79)) % 0.39/0.59 (define @t81 () (and @t65 @t41)) % 0.39/0.59 (define @t82 () (= @t66 @t81)) % 0.39/0.59 (define @t83 () (@list @t74)) % 0.39/0.59 (define @t84 () (not @t82)) % 0.39/0.59 (define @t85 () (not @t66)) % 0.39/0.59 (define @t86 () (not @t81)) % 0.39/0.59 (define @t87 () (@quantifiers_skolemize @t43 0)) % 0.39/0.59 (define @t88 () (forall @t15 (= @t42 (= @t5 @t87)))) % 0.39/0.59 (define @t89 () (= @t87 @t5)) % 0.39/0.59 (define @t90 () (forall @t15 (= @t89 @t42))) % 0.39/0.59 (define @t91 () (not (not @t90))) % 0.39/0.59 (define @t92 () (and (= @t87 @t57) @t51)) % 0.39/0.59 (define @t93 () (tptp.big_f @t87 @t40)) % 0.39/0.59 (define @t94 () (= @t93 @t92)) % 0.39/0.59 (define @t95 () (and (= @t57 @t87) @t41)) % 0.39/0.59 (define @t96 () (= @t93 @t95)) % 0.39/0.59 (define @t97 () (not @t95)) % 0.39/0.59 (define @t98 () (not @t93)) % 0.39/0.59 (define @t99 () (@list true false)) % 0.39/0.59 (define @t100 () (= @t93 (= @t87 @t87))) % 0.39/0.59 (assume @p1 @t13) % 0.39/0.59 (assume @p2 @t23) % 0.39/0.59 (assume @p3 true) % 0.39/0.59 (step @p4 :rule bool-double-not-elim :args (@t29)) % 0.39/0.59 (step @p5 :rule exists-elim :args ((= (exists @t21 @t28) (not @t29)))) % 0.39/0.59 (step @p6 :rule exists-elim :args ((= (exists @t17 @t25) @t26))) % 0.39/0.59 (step @p7 :rule eq-symm :args (@t5 @t4)) % 0.39/0.59 (step @p8 :rule refl :args (@t8)) % 0.39/0.59 (step @p9 :rule cong :premises (@p8 @p7) :args (@t14)) % 0.39/0.59 (step @p10 :rule cong :premises (@p9) :args (@t16)) % 0.39/0.59 (step @p11 :rule cong :premises (@p10) :args (@t18)) % 0.39/0.59 (step @p12 :rule trans :premises (@p11 @p6)) % 0.39/0.59 (step @p13 :rule eq-symm :args (@t2 @t1)) % 0.39/0.59 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t3 @t18))) % 0.39/0.59 (step @p15 :rule eq-symm :args (@t18 @t3)) % 0.39/0.59 (step @p16 :rule trans :premises (@p15 @p14)) % 0.39/0.59 (step @p17 :rule cong :premises (@p16) :args (@t20)) % 0.39/0.59 (step @p18 :rule cong :premises (@p17) :args (@t22)) % 0.39/0.59 (step @p19 :rule trans :premises (@p18 @p5)) % 0.39/0.59 (step @p20 :rule cong :premises (@p19) :args (@t23)) % 0.39/0.59 (step @p21 :rule trans :premises (@p20 @p4)) % 0.39/0.59 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.39/0.59 (step @p23 :rule eq-symm :args (@t32 @t2)) % 0.39/0.59 (step @p24 :rule refl :args (@t26)) % 0.39/0.59 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t26 @t33))) % 0.39/0.59 (step @p26 :rule eq-symm :args (@t33 @t26)) % 0.39/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.59 (step @p28 :rule cong :premises (@p27) :args (@t34)) % 0.39/0.59 (step @p29 :rule cong :premises (@p28) :args (@t35)) % 0.39/0.59 (step @p30 :rule refl :args (@t29)) % 0.39/0.59 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t29 @t35))) % 0.39/0.59 (assume-push @p198 @t29) % 0.39/0.59 (step @p33 :rule instantiate :premises (@p22) :args ((@list @t32))) % 0.39/0.59 (step-pop @p199 :rule scope :premises (@p33)) % 0.39/0.59 (step @p34 :rule process_scope :premises (@p199) :args (@t35)) % 0.39/0.59 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 0.39/0.59 (step @p37 :rule implies_elim :premises (@p36)) % 0.39/0.59 (step @p38 :rule chain_m_resolution :premises (@p37 @p22) :args (@t38 @t39 (@list @t29))) % 0.39/0.59 (step @p39 :rule refl :args (@t46)) % 0.39/0.59 (step @p40 :rule bool-double-not-elim :args (@t37)) % 0.39/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t38) @t46))) % 0.39/0.59 (step @p42 :rule eq-symm :args (@t40 @t32)) % 0.39/0.59 (step @p43 :rule eq-symm :args (@t42 @t24)) % 0.39/0.59 (step @p44 :rule cong :premises (@p43) :args (@t47)) % 0.39/0.59 (step @p45 :rule cong :premises (@p44) :args (@t48)) % 0.39/0.59 (step @p46 :rule cong :premises (@p45) :args (@t49)) % 0.39/0.59 (step @p47 :rule cong :premises (@p46) :args (@t50)) % 0.39/0.59 (step @p48 :rule cong :premises (@p47 @p42) :args (@t52)) % 0.39/0.59 (step @p49 :rule cong :premises (@p48) :args (@t53)) % 0.39/0.59 (step @p50 :rule refl :args (@t38)) % 0.39/0.59 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t38 @t53))) % 0.39/0.59 (assume-push @p200 @t38) % 0.39/0.59 (step @p53 :rule skolemize :premises (@p38)) % 0.39/0.59 (step-pop @p201 :rule scope :premises (@p53)) % 0.39/0.59 (step @p54 :rule process_scope :premises (@p201) :args (@t53)) % 0.39/0.59 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.39/0.59 (step @p57 :rule implies_elim :premises (@p56)) % 0.39/0.59 (step @p58 :rule eq_resolve :premises (@p57 @p41)) % 0.39/0.59 (step @p59 :rule chain_m_resolution :premises (@p58 @p38) :args (@t46 @t54 (@list @t37))) % 0.39/0.59 (step @p60 :rule refl :args (@t55)) % 0.39/0.59 (step @p61 :rule bool-double-not-elim :args (@t43)) % 0.39/0.59 (step @p62 :rule refl :args (@t45)) % 0.39/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args ((or @t45 @t56 @t55))) % 0.39/0.59 (step @p64 :rule cnf_equiv_neg2 :args (@t45)) % 0.39/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.39/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t43 @t45 @t55))) % 0.39/0.59 (step @p67 :rule refl :args (@t42)) % 0.39/0.59 (step @p68 :rule eq-symm :args (@t57 @t5)) % 0.39/0.59 (step @p69 :rule cong :premises (@p68 @p67) :args (@t59)) % 0.39/0.59 (step @p70 :rule cong :premises (@p69) :args (@t60)) % 0.39/0.59 (step @p71 :rule cong :premises (@p70) :args (@t61)) % 0.39/0.59 (step @p72 :rule refl :args (@t43)) % 0.39/0.59 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t43 @t61))) % 0.39/0.59 (assume-push @p202 @t43) % 0.39/0.59 (step @p75 :rule instantiate :premises (@p202) :args ((@list @t57))) % 0.39/0.59 (step-pop @p203 :rule scope :premises (@p75)) % 0.39/0.59 (step @p76 :rule process_scope :premises (@p203) :args (@t61)) % 0.39/0.59 (step @p78 :rule eq_resolve :premises (@p76 @p73)) % 0.39/0.59 (step @p79 :rule implies_elim :premises (@p78)) % 0.39/0.59 (step @p80 :rule refl :args (@t68)) % 0.39/0.59 (step @p81 :rule bool-double-not-elim :args (@t63)) % 0.39/0.59 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t69) @t68))) % 0.39/0.59 (step @p83 :rule eq-symm :args (@t65 @t66)) % 0.39/0.59 (step @p84 :rule refl :args (@t66)) % 0.39/0.59 (step @p85 :rule eq-symm :args (@t64 @t57)) % 0.39/0.59 (step @p86 :rule cong :premises (@p85 @p84) :args (@t71)) % 0.39/0.59 (step @p87 :rule trans :premises (@p86 @p83)) % 0.39/0.59 (step @p88 :rule cong :premises (@p87) :args (@t72)) % 0.39/0.59 (step @p89 :rule refl :args (@t69)) % 0.39/0.59 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t69 @t72))) % 0.39/0.59 (assume-push @p204 @t69) % 0.39/0.59 (step @p92 :rule skolemize :premises (@p204)) % 0.39/0.59 (step-pop @p205 :rule scope :premises (@p92)) % 0.39/0.59 (step @p93 :rule process_scope :premises (@p205) :args (@t72)) % 0.39/0.59 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.39/0.59 (step @p96 :rule implies_elim :premises (@p95)) % 0.39/0.59 (step @p97 :rule eq_resolve :premises (@p96 @p82)) % 0.39/0.59 (step @p98 :rule cnf_equiv_neg2 :args (@t67)) % 0.39/0.59 (step @p99 :rule exists-elim :args ((= (exists @t12 @t30) @t73))) % 0.39/0.59 (step @p100 :rule nary_cong :premises (@p7 @p13) :args (@t7)) % 0.39/0.59 (step @p101 :rule cong :premises (@p8 @p100) :args (@t9)) % 0.39/0.59 (step @p102 :rule cong :premises (@p101) :args (@t11)) % 0.39/0.59 (step @p103 :rule cong :premises (@p102) :args (@t13)) % 0.39/0.59 (step @p104 :rule trans :premises (@p103 @p99)) % 0.39/0.59 (step @p105 :rule eq_resolve :premises (@p1 @p104)) % 0.39/0.59 (step @p106 :rule refl :args (@t74)) % 0.39/0.59 (step @p107 :rule bool-double-not-elim :args (@t31)) % 0.39/0.59 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t73) @t74))) % 0.39/0.59 (step @p109 :rule nary_cong :premises (@p68 @p23) :args (@t75)) % 0.39/0.59 (step @p110 :rule cong :premises (@p8 @p109) :args (@t76)) % 0.39/0.59 (step @p111 :rule cong :premises (@p110) :args (@t77)) % 0.39/0.59 (step @p112 :rule bool-double-not-elim :args (@t77)) % 0.39/0.59 (step @p113 :rule trans :premises (@p112 @p111)) % 0.39/0.59 (step @p114 :rule refl :args (@t73)) % 0.39/0.59 (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t73 @t78))) % 0.39/0.59 (assume-push @p206 @t73) % 0.39/0.59 (step @p117 :rule skolemize :premises (@p105)) % 0.39/0.59 (step-pop @p207 :rule scope :premises (@p117)) % 0.39/0.59 (step @p118 :rule process_scope :premises (@p207) :args (@t78)) % 0.39/0.59 (step @p120 :rule eq_resolve :premises (@p118 @p115)) % 0.39/0.59 (step @p121 :rule implies_elim :premises (@p120)) % 0.39/0.59 (step @p122 :rule eq_resolve :premises (@p121 @p108)) % 0.39/0.59 (step @p123 :rule chain_m_resolution :premises (@p122 @p105) :args (@t74 @t54 (@list @t31))) % 0.39/0.59 (step @p124 :rule nary_cong :premises (@p85 @p42) :args (@t79)) % 0.39/0.59 (step @p125 :rule cong :premises (@p84 @p124) :args (@t80)) % 0.39/0.59 (step @p126 :rule cong :premises (@p106 @p125) :args ((=> @t74 @t80))) % 0.39/0.59 (assume-push @p208 @t74) % 0.39/0.59 (step @p128 :rule instantiate :premises (@p123) :args ((@list @t64 @t40))) % 0.39/0.59 (step-pop @p209 :rule scope :premises (@p128)) % 0.39/0.59 (step @p129 :rule process_scope :premises (@p209) :args (@t80)) % 0.39/0.59 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 0.39/0.59 (step @p132 :rule implies_elim :premises (@p131)) % 0.39/0.59 (step @p133 :rule chain_m_resolution :premises (@p132 @p123) :args (@t82 @t39 @t83)) % 0.39/0.59 (step @p134 :rule cnf_equiv_pos1 :args (@t82)) % 0.39/0.59 (step @p135 :rule reordering :premises (@p134) :args ((or @t85 @t81 @t84))) % 0.39/0.59 (step @p136 :rule cnf_and_pos :args (@t81 0)) % 0.39/0.59 (step @p137 :rule reordering :premises (@p136) :args ((or @t65 @t86))) % 0.39/0.59 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p133 @p98) :args ((or @t67 @t85) (@list false false true) (@list @t81 @t82 @t65))) % 0.39/0.59 (step @p139 :rule cnf_equiv_neg1 :args (@t67)) % 0.39/0.59 (step @p140 :rule reordering :premises (@p139) :args ((or @t66 @t65 @t67))) % 0.39/0.59 (step @p141 :rule cnf_equiv_pos2 :args (@t82)) % 0.39/0.59 (step @p142 :rule reordering :premises (@p141) :args ((or @t66 @t86 @t84))) % 0.39/0.59 (step @p143 :rule cnf_and_neg :args (@t81)) % 0.39/0.59 (step @p144 :rule reordering :premises (@p143) :args ((or @t55 (not @t65) @t81))) % 0.39/0.59 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p133 @p140 @p138 @p97 @p79 @p66 @p59) :args (@t55 (@list true false false true true true false true) (@list @t81 @t82 @t65 @t66 @t67 @t63 @t43 @t45))) % 0.39/0.59 (step @p146 :rule cnf_equiv_neg1 :args (@t45)) % 0.39/0.59 (step @p147 :rule reordering :premises (@p146) :args ((or @t44 @t41 @t45))) % 0.39/0.59 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p59) :args (@t44 (@list true true) (@list @t41 @t45))) % 0.39/0.59 (step @p149 :rule refl :args (@t88)) % 0.39/0.59 (step @p150 :rule nary_cong :premises (@p61 @p149) :args ((or @t56 @t88))) % 0.39/0.59 (step @p151 :rule eq-symm :args (@t87 @t5)) % 0.39/0.59 (step @p152 :rule cong :premises (@p67 @p151) :args ((= @t42 @t89))) % 0.39/0.59 (step @p153 :rule eq-symm :args (@t89 @t42)) % 0.39/0.59 (step @p154 :rule trans :premises (@p153 @p152)) % 0.39/0.59 (step @p155 :rule cong :premises (@p154) :args (@t90)) % 0.39/0.59 (step @p156 :rule bool-double-not-elim :args (@t90)) % 0.39/0.59 (step @p157 :rule trans :premises (@p156 @p155)) % 0.39/0.59 (step @p158 :rule refl :args (@t44)) % 0.39/0.59 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t44 @t91))) % 0.39/0.59 (assume-push @p210 @t44) % 0.39/0.59 (step @p161 :rule skolemize :premises (@p210)) % 0.39/0.59 (step-pop @p211 :rule scope :premises (@p161)) % 0.39/0.59 (step @p162 :rule process_scope :premises (@p211) :args (@t91)) % 0.39/0.59 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.39/0.59 (step @p165 :rule implies_elim :premises (@p164)) % 0.39/0.59 (step @p166 :rule eq_resolve :premises (@p165 @p150)) % 0.39/0.59 (step @p167 :rule chain_m_resolution :premises (@p166 @p148) :args (@t88 @t54 (@list @t43))) % 0.39/0.59 (step @p168 :rule eq-symm :args (@t87 @t57)) % 0.39/0.59 (step @p169 :rule nary_cong :premises (@p168 @p42) :args (@t92)) % 0.39/0.59 (step @p170 :rule refl :args (@t93)) % 0.39/0.59 (step @p171 :rule cong :premises (@p170 @p169) :args (@t94)) % 0.39/0.59 (step @p172 :rule cong :premises (@p106 @p171) :args ((=> @t74 @t94))) % 0.39/0.59 (assume-push @p212 @t74) % 0.39/0.59 (step @p174 :rule instantiate :premises (@p123) :args ((@list @t87 @t40))) % 0.39/0.59 (step-pop @p213 :rule scope :premises (@p174)) % 0.39/0.59 (step @p175 :rule process_scope :premises (@p213) :args (@t94)) % 0.39/0.59 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 0.39/0.59 (step @p178 :rule implies_elim :premises (@p177)) % 0.39/0.59 (step @p179 :rule chain_m_resolution :premises (@p178 @p123) :args (@t96 @t39 @t83)) % 0.39/0.59 (step @p180 :rule cnf_and_pos :args (@t95 1)) % 0.39/0.59 (step @p181 :rule reordering :premises (@p180) :args ((or @t41 @t97))) % 0.39/0.59 (step @p182 :rule chain_m_resolution :premises (@p181 @p145) :args (@t97 @t54 (@list @t41))) % 0.39/0.59 (step @p183 :rule cnf_equiv_pos1 :args (@t96)) % 0.39/0.59 (step @p184 :rule reordering :premises (@p183) :args ((or @t98 @t95 (not @t96)))) % 0.39/0.59 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p179) :args (@t98 @t99 (@list @t95 @t96))) % 0.39/0.59 (step @p186 :rule bool-eq-true :args (@t93)) % 0.39/0.59 (step @p187 :rule eq-refl :args (@t87)) % 0.39/0.59 (step @p188 :rule cong :premises (@p170 @p187) :args (@t100)) % 0.39/0.59 (step @p189 :rule trans :premises (@p188 @p186)) % 0.39/0.59 (step @p190 :rule cong :premises (@p149 @p189) :args ((=> @t88 @t100))) % 0.39/0.59 (assume-push @p214 @t88) % 0.39/0.59 (step @p192 :rule instantiate :premises (@p214) :args ((@list @t87))) % 0.39/0.59 (step-pop @p215 :rule scope :premises (@p192)) % 0.39/0.59 (step @p193 :rule process_scope :premises (@p215) :args (@t100)) % 0.39/0.59 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.39/0.59 (step @p196 :rule implies_elim :premises (@p195)) % 0.39/0.59 (step @p197 false :rule chain_m_resolution :premises (@p196 @p185 @p167) :args (false @t99 (@list @t93 @t88))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------