%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN331+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 : n009.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 09:08:34 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN331+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 % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:23:29 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.36/0.60 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.60 (define @t2 () (@var "Z" $$unsorted)) % 0.36/0.60 (define @t3 () (tptp.big_f @t2 @t1)) % 0.36/0.60 (define @t4 () (@var "X" $$unsorted)) % 0.36/0.60 (define @t5 () (tptp.big_f @t2 @t4)) % 0.36/0.60 (define @t6 () (or @t5 @t3)) % 0.36/0.60 (define @t7 () (tptp.big_f @t2 @t2)) % 0.36/0.60 (define @t8 () (tptp.big_f @t1 @t4)) % 0.36/0.60 (define @t9 () (or @t8 @t7)) % 0.36/0.60 (define @t10 () (=> @t9 @t6)) % 0.36/0.60 (define @t11 () (tptp.big_f @t4 @t1)) % 0.36/0.60 (define @t12 () (=> (= @t11 @t7) @t10)) % 0.36/0.60 (define @t13 () (tptp.big_f @t1 @t2)) % 0.36/0.60 (define @t14 () (=> @t13 @t12)) % 0.36/0.60 (define @t15 () (tptp.big_f @t4 @t2)) % 0.36/0.60 (define @t16 () (=> @t15 @t14)) % 0.36/0.60 (define @t17 () (@list @t2)) % 0.36/0.60 (define @t18 () (forall @t17 @t16)) % 0.36/0.60 (define @t19 () (@list @t4 @t1)) % 0.36/0.60 (define @t20 () (exists @t19 @t18)) % 0.36/0.60 (define @t21 () (not @t20)) % 0.36/0.60 (define @t22 () (not @t7)) % 0.36/0.60 (define @t23 () (and (not @t8) @t22)) % 0.36/0.60 (define @t24 () (not @t13)) % 0.36/0.60 (define @t25 () (not @t15)) % 0.36/0.60 (define @t26 () (forall @t17 (or @t25 @t24 (= @t11 @t22) @t23 @t5 @t3))) % 0.36/0.60 (define @t27 () (forall @t19 (not @t26))) % 0.36/0.60 (define @t28 () (= @t22 @t11)) % 0.36/0.60 (define @t29 () (or @t25 @t24 @t28 @t23 @t5 @t3)) % 0.36/0.60 (define @t30 () (or @t24 @t28 @t23 @t5 @t3)) % 0.36/0.60 (define @t31 () (or @t28 @t23 @t5 @t3)) % 0.36/0.60 (define @t32 () (or @t23 @t5 @t3)) % 0.36/0.60 (define @t33 () (= @t7 @t11)) % 0.36/0.60 (define @t34 () (=> @t33 @t10)) % 0.36/0.60 (define @t35 () (=> @t13 @t34)) % 0.36/0.60 (define @t36 () (@const 0 $$unsorted)) % 0.36/0.60 (define @t37 () (tptp.big_f @t2 @t36)) % 0.36/0.60 (define @t38 () (tptp.big_f @t36 @t36)) % 0.36/0.60 (define @t39 () (not @t38)) % 0.36/0.60 (define @t40 () (and @t39 @t22)) % 0.36/0.60 (define @t41 () (= @t22 @t38)) % 0.36/0.60 (define @t42 () (not (tptp.big_f @t36 @t2))) % 0.36/0.60 (define @t43 () (or @t42 @t41 @t40 @t37)) % 0.36/0.60 (define @t44 () (forall @t17 @t43)) % 0.36/0.60 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.36/0.60 (define @t46 () (tptp.big_f @t2 @t45)) % 0.36/0.60 (define @t47 () (not (tptp.big_f @t36 @t45))) % 0.36/0.60 (define @t48 () (and @t47 @t22)) % 0.36/0.60 (define @t49 () (tptp.big_f @t45 @t36)) % 0.36/0.60 (define @t50 () (not (tptp.big_f @t45 @t2))) % 0.36/0.60 (define @t51 () (or @t50 @t42 (= @t49 @t22) @t48 @t46 @t37)) % 0.36/0.60 (define @t52 () (forall @t17 @t51)) % 0.36/0.60 (define @t53 () (not @t52)) % 0.36/0.60 (define @t54 () (forall @t17 (or @t50 @t42 (= @t22 @t49) @t48 @t46 @t37))) % 0.36/0.60 (define @t55 () (not @t54)) % 0.36/0.60 (define @t56 () (@list false)) % 0.36/0.60 (define @t57 () (@list @t27)) % 0.36/0.60 (define @t58 () (@quantifiers_skolemize @t54 0)) % 0.36/0.60 (define @t59 () (tptp.big_f @t58 @t36)) % 0.36/0.60 (define @t60 () (tptp.big_f @t58 @t45)) % 0.36/0.60 (define @t61 () (tptp.big_f @t58 @t58)) % 0.36/0.60 (define @t62 () (not @t61)) % 0.36/0.60 (define @t63 () (and @t47 @t62)) % 0.36/0.60 (define @t64 () (= @t49 @t62)) % 0.36/0.60 (define @t65 () (not (tptp.big_f @t36 @t58))) % 0.36/0.60 (define @t66 () (not (tptp.big_f @t45 @t58))) % 0.36/0.60 (define @t67 () (or @t66 @t65 @t64 @t63 @t60 @t59)) % 0.36/0.60 (define @t68 () (not @t67)) % 0.36/0.60 (define @t69 () (or @t66 @t65 (= @t62 @t49) @t63 @t60 @t59)) % 0.36/0.60 (define @t70 () (not @t69)) % 0.36/0.60 (define @t71 () (@list true)) % 0.36/0.60 (define @t72 () (or @t42 @t42 @t41 @t40 @t37 @t37)) % 0.36/0.60 (define @t73 () (or @t42 @t42 (= @t38 @t22) @t40 @t37 @t37)) % 0.36/0.60 (define @t74 () (forall @t17 @t73)) % 0.36/0.60 (define @t75 () (not @t74)) % 0.36/0.60 (define @t76 () (not @t44)) % 0.36/0.60 (define @t77 () (not (tptp.big_f @t45 @t45))) % 0.36/0.60 (define @t78 () (and @t39 @t77)) % 0.36/0.60 (define @t79 () (or @t47 (= @t38 @t77) @t78 @t49)) % 0.36/0.60 (define @t80 () (not @t79)) % 0.36/0.60 (define @t81 () (or @t47 (= @t77 @t38) @t78 @t49)) % 0.36/0.60 (define @t82 () (not @t81)) % 0.36/0.60 (define @t83 () (@list true true)) % 0.36/0.60 (define @t84 () (tptp.big_f @t2 @t58)) % 0.36/0.60 (define @t85 () (and @t62 @t22)) % 0.36/0.60 (define @t86 () (= @t22 @t61)) % 0.36/0.60 (define @t87 () (not (tptp.big_f @t58 @t2))) % 0.36/0.60 (define @t88 () (or @t87 @t86 @t85 @t84)) % 0.36/0.60 (define @t89 () (or @t87 @t87 @t86 @t85 @t84 @t84)) % 0.36/0.60 (define @t90 () (or @t87 @t87 (= @t61 @t22) @t85 @t84 @t84)) % 0.36/0.60 (define @t91 () (forall @t17 @t90)) % 0.36/0.60 (define @t92 () (not @t91)) % 0.36/0.60 (define @t93 () (forall @t17 @t88)) % 0.36/0.60 (define @t94 () (not @t93)) % 0.36/0.60 (define @t95 () (@quantifiers_skolemize @t93 0)) % 0.36/0.60 (define @t96 () (tptp.big_f @t95 @t58)) % 0.36/0.60 (define @t97 () (tptp.big_f @t95 @t95)) % 0.36/0.60 (define @t98 () (not @t97)) % 0.36/0.60 (define @t99 () (and @t62 @t98)) % 0.36/0.60 (define @t100 () (= @t61 @t98)) % 0.36/0.60 (define @t101 () (not (tptp.big_f @t58 @t95))) % 0.36/0.60 (define @t102 () (or @t101 @t100 @t99 @t96)) % 0.36/0.60 (define @t103 () (not @t102)) % 0.36/0.60 (define @t104 () (or @t101 (= @t98 @t61) @t99 @t96)) % 0.36/0.60 (define @t105 () (not @t104)) % 0.36/0.60 (define @t106 () (@list @t102)) % 0.36/0.60 (assume @p1 @t21) % 0.36/0.60 (assume @p2 true) % 0.36/0.60 (step @p3 :rule bool-double-not-elim :args (@t27)) % 0.36/0.60 (step @p4 :rule exists-elim :args ((= (exists @t19 @t26) (not @t27)))) % 0.36/0.60 (step @p5 :rule refl :args (@t3)) % 0.36/0.60 (step @p6 :rule refl :args (@t5)) % 0.36/0.60 (step @p7 :rule refl :args (@t23)) % 0.36/0.60 (step @p8 :rule eq-symm :args (@t22 @t11)) % 0.36/0.60 (step @p9 :rule refl :args (@t24)) % 0.36/0.60 (step @p10 :rule refl :args (@t25)) % 0.36/0.60 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8 @p7 @p6 @p5) :args (@t29)) % 0.36/0.60 (step @p12 :rule cong :premises (@p11) :args ((forall @t17 @t29))) % 0.36/0.60 (step @p13 :rule aci_norm :args ((= (or @t25 @t30) @t29))) % 0.36/0.60 (step @p14 :rule aci_norm :args ((= (or @t24 @t31) @t30))) % 0.36/0.60 (step @p15 :rule aci_norm :args ((= (or @t28 @t32) @t31))) % 0.36/0.60 (step @p16 :rule aci_norm :args ((= (or @t23 @t6) @t32))) % 0.36/0.60 (step @p17 :rule refl :args (@t6)) % 0.36/0.60 (step @p18 :rule bool-or-de-morgan :args (@t8 @t7 false)) % 0.36/0.60 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t9) @t6))) % 0.36/0.60 (step @p20 :rule trans :premises (@p19 @p16)) % 0.36/0.60 (step @p21 :rule bool-impl-elim :args (@t9 @t6)) % 0.36/0.60 (step @p22 :rule trans :premises (@p21 @p20)) % 0.36/0.60 (step @p23 :rule bool-not-eq-elim1 :args (@t7 @t11)) % 0.36/0.60 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t33) @t10))) % 0.36/0.60 (step @p25 :rule trans :premises (@p24 @p15)) % 0.36/0.60 (step @p26 :rule bool-impl-elim :args (@t33 @t10)) % 0.36/0.60 (step @p27 :rule trans :premises (@p26 @p25)) % 0.36/0.60 (step @p28 :rule refl :args (@t24)) % 0.36/0.60 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t24 @t34))) % 0.36/0.60 (step @p30 :rule trans :premises (@p29 @p14)) % 0.36/0.60 (step @p31 :rule bool-impl-elim :args (@t13 @t34)) % 0.36/0.60 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.60 (step @p33 :rule refl :args (@t25)) % 0.36/0.60 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t25 @t35))) % 0.36/0.60 (step @p35 :rule trans :premises (@p34 @p13)) % 0.36/0.60 (step @p36 :rule bool-impl-elim :args (@t15 @t35)) % 0.36/0.60 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.60 (step @p38 :rule cong :premises (@p37) :args ((forall @t17 (=> @t15 @t35)))) % 0.36/0.60 (step @p39 :rule trans :premises (@p38 @p12)) % 0.36/0.60 (step @p40 :rule refl :args (@t10)) % 0.36/0.60 (step @p41 :rule eq-symm :args (@t11 @t7)) % 0.36/0.60 (step @p42 :rule cong :premises (@p41 @p40) :args (@t12)) % 0.36/0.60 (step @p43 :rule refl :args (@t13)) % 0.36/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args (@t14)) % 0.36/0.60 (step @p45 :rule refl :args (@t15)) % 0.36/0.60 (step @p46 :rule cong :premises (@p45 @p44) :args (@t16)) % 0.36/0.60 (step @p47 :rule cong :premises (@p46) :args (@t18)) % 0.36/0.60 (step @p48 :rule trans :premises (@p47 @p39)) % 0.36/0.60 (step @p49 :rule cong :premises (@p48) :args (@t20)) % 0.36/0.60 (step @p50 :rule trans :premises (@p49 @p4)) % 0.36/0.60 (step @p51 :rule cong :premises (@p50) :args (@t21)) % 0.36/0.60 (step @p52 :rule trans :premises (@p51 @p3)) % 0.36/0.60 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.36/0.60 (step @p54 :rule refl :args (@t37)) % 0.36/0.60 (step @p55 :rule refl :args (@t46)) % 0.36/0.60 (step @p56 :rule refl :args (@t48)) % 0.36/0.60 (step @p57 :rule eq-symm :args (@t49 @t22)) % 0.36/0.60 (step @p58 :rule refl :args (@t42)) % 0.36/0.60 (step @p59 :rule refl :args (@t50)) % 0.36/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57 @p56 @p55 @p54) :args (@t51)) % 0.36/0.60 (step @p61 :rule cong :premises (@p60) :args (@t52)) % 0.36/0.60 (step @p62 :rule cong :premises (@p61) :args (@t53)) % 0.36/0.60 (step @p63 :rule refl :args (@t27)) % 0.36/0.60 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t27 @t53))) % 0.36/0.60 (assume-push @p186 @t27) % 0.36/0.60 (step @p66 :rule instantiate :premises (@p53) :args ((@list @t45 @t36))) % 0.36/0.60 (step-pop @p187 :rule scope :premises (@p66)) % 0.36/0.60 (step @p67 :rule process_scope :premises (@p187) :args (@t53)) % 0.36/0.60 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.36/0.60 (step @p70 :rule implies_elim :premises (@p69)) % 0.36/0.60 (step @p71 :rule chain_m_resolution :premises (@p70 @p53) :args (@t55 @t56 @t57)) % 0.36/0.60 (step @p72 :rule refl :args (@t68)) % 0.36/0.60 (step @p73 :rule bool-double-not-elim :args (@t54)) % 0.36/0.60 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t55) @t68))) % 0.36/0.60 (step @p75 :rule refl :args (@t59)) % 0.36/0.60 (step @p76 :rule refl :args (@t60)) % 0.36/0.60 (step @p77 :rule refl :args (@t63)) % 0.36/0.60 (step @p78 :rule eq-symm :args (@t62 @t49)) % 0.36/0.60 (step @p79 :rule refl :args (@t65)) % 0.36/0.60 (step @p80 :rule refl :args (@t66)) % 0.36/0.60 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76 @p75) :args (@t69)) % 0.36/0.60 (step @p82 :rule cong :premises (@p81) :args (@t70)) % 0.36/0.60 (step @p83 :rule refl :args (@t55)) % 0.36/0.60 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t55 @t70))) % 0.36/0.60 (assume-push @p188 @t55) % 0.36/0.60 (step @p86 :rule skolemize :premises (@p71)) % 0.36/0.60 (step-pop @p189 :rule scope :premises (@p86)) % 0.36/0.60 (step @p87 :rule process_scope :premises (@p189) :args (@t70)) % 0.36/0.60 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.36/0.60 (step @p90 :rule implies_elim :premises (@p89)) % 0.36/0.60 (step @p91 :rule eq_resolve :premises (@p90 @p74)) % 0.36/0.60 (step @p92 :rule chain_m_resolution :premises (@p91 @p71) :args (@t68 @t71 (@list @t54))) % 0.36/0.60 (step @p93 :rule cnf_or_neg :args (@t67 2)) % 0.36/0.60 (step @p94 :rule chain_m_resolution :premises (@p93 @p92) :args ((not @t64) @t71 (@list @t67))) % 0.36/0.60 (step @p95 :rule aci_norm :args ((= @t72 @t43))) % 0.36/0.60 (step @p96 :rule cong :premises (@p95) :args ((forall @t17 @t72))) % 0.36/0.60 (step @p97 :rule refl :args (@t40)) % 0.36/0.60 (step @p98 :rule eq-symm :args (@t38 @t22)) % 0.36/0.60 (step @p99 :rule nary_cong :premises (@p58 @p58 @p98 @p97 @p54 @p54) :args (@t73)) % 0.36/0.60 (step @p100 :rule cong :premises (@p99) :args (@t74)) % 0.36/0.60 (step @p101 :rule trans :premises (@p100 @p96)) % 0.36/0.60 (step @p102 :rule cong :premises (@p101) :args (@t75)) % 0.36/0.60 (step @p103 :rule cong :premises (@p63 @p102) :args ((=> @t27 @t75))) % 0.36/0.60 (assume-push @p190 @t27) % 0.36/0.60 (step @p105 :rule instantiate :premises (@p53) :args ((@list @t36 @t36))) % 0.36/0.60 (step-pop @p191 :rule scope :premises (@p105)) % 0.36/0.60 (step @p106 :rule process_scope :premises (@p191) :args (@t75)) % 0.36/0.60 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 0.36/0.60 (step @p109 :rule implies_elim :premises (@p108)) % 0.36/0.60 (step @p110 :rule chain_m_resolution :premises (@p109 @p53) :args (@t76 @t56 @t57)) % 0.36/0.60 (step @p111 :rule refl :args (@t80)) % 0.36/0.60 (step @p112 :rule bool-double-not-elim :args (@t44)) % 0.36/0.60 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t76) @t80))) % 0.36/0.60 (step @p114 :rule refl :args (@t49)) % 0.36/0.60 (step @p115 :rule refl :args (@t78)) % 0.36/0.60 (step @p116 :rule eq-symm :args (@t77 @t38)) % 0.36/0.60 (step @p117 :rule refl :args (@t47)) % 0.36/0.60 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114) :args (@t81)) % 0.36/0.60 (step @p119 :rule cong :premises (@p118) :args (@t82)) % 0.36/0.60 (step @p120 :rule refl :args (@t76)) % 0.36/0.60 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t76 @t82))) % 0.36/0.60 (assume-push @p192 @t76) % 0.36/0.60 (step @p123 :rule skolemize :premises (@p110)) % 0.36/0.60 (step-pop @p193 :rule scope :premises (@p123)) % 0.36/0.60 (step @p124 :rule process_scope :premises (@p193) :args (@t82)) % 0.36/0.60 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.36/0.60 (step @p127 :rule implies_elim :premises (@p126)) % 0.36/0.60 (step @p128 :rule eq_resolve :premises (@p127 @p113)) % 0.36/0.60 (step @p129 :rule chain_m_resolution :premises (@p128 @p110) :args (@t80 @t71 (@list @t44))) % 0.36/0.60 (step @p130 :rule cnf_or_neg :args (@t79 3)) % 0.36/0.60 (step @p131 :rule chain_m_resolution :premises (@p130 @p129) :args ((not @t49) @t71 (@list @t79))) % 0.36/0.60 (step @p132 :rule cnf_equiv_neg1 :args (@t64)) % 0.36/0.60 (step @p133 :rule reordering :premises (@p132) :args ((or @t49 @t62 @t64))) % 0.36/0.60 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p94) :args (@t62 @t83 (@list @t49 @t64))) % 0.36/0.60 (step @p135 :rule aci_norm :args ((= @t89 @t88))) % 0.36/0.60 (step @p136 :rule cong :premises (@p135) :args ((forall @t17 @t89))) % 0.36/0.60 (step @p137 :rule refl :args (@t84)) % 0.36/0.60 (step @p138 :rule refl :args (@t85)) % 0.36/0.60 (step @p139 :rule eq-symm :args (@t61 @t22)) % 0.36/0.60 (step @p140 :rule refl :args (@t87)) % 0.36/0.60 (step @p141 :rule nary_cong :premises (@p140 @p140 @p139 @p138 @p137 @p137) :args (@t90)) % 0.36/0.60 (step @p142 :rule cong :premises (@p141) :args (@t91)) % 0.36/0.60 (step @p143 :rule trans :premises (@p142 @p136)) % 0.36/0.60 (step @p144 :rule cong :premises (@p143) :args (@t92)) % 0.36/0.60 (step @p145 :rule cong :premises (@p63 @p144) :args ((=> @t27 @t92))) % 0.36/0.60 (assume-push @p194 @t27) % 0.36/0.60 (step @p147 :rule instantiate :premises (@p53) :args ((@list @t58 @t58))) % 0.36/0.60 (step-pop @p195 :rule scope :premises (@p147)) % 0.36/0.60 (step @p148 :rule process_scope :premises (@p195) :args (@t92)) % 0.36/0.60 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 0.36/0.60 (step @p151 :rule implies_elim :premises (@p150)) % 0.36/0.60 (step @p152 :rule chain_m_resolution :premises (@p151 @p53) :args (@t94 @t56 @t57)) % 0.36/0.60 (step @p153 :rule refl :args (@t103)) % 0.36/0.60 (step @p154 :rule bool-double-not-elim :args (@t93)) % 0.36/0.60 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t94) @t103))) % 0.36/0.60 (step @p156 :rule refl :args (@t96)) % 0.36/0.60 (step @p157 :rule refl :args (@t99)) % 0.36/0.60 (step @p158 :rule eq-symm :args (@t98 @t61)) % 0.36/0.60 (step @p159 :rule refl :args (@t101)) % 0.36/0.60 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157 @p156) :args (@t104)) % 0.36/0.60 (step @p161 :rule cong :premises (@p160) :args (@t105)) % 0.36/0.60 (step @p162 :rule refl :args (@t94)) % 0.36/0.60 (step @p163 :rule cong :premises (@p162 @p161) :args ((=> @t94 @t105))) % 0.36/0.60 (assume-push @p196 @t94) % 0.36/0.60 (step @p165 :rule skolemize :premises (@p152)) % 0.36/0.60 (step-pop @p197 :rule scope :premises (@p165)) % 0.36/0.60 (step @p166 :rule process_scope :premises (@p197) :args (@t105)) % 0.36/0.60 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 0.36/0.60 (step @p169 :rule implies_elim :premises (@p168)) % 0.36/0.60 (step @p170 :rule eq_resolve :premises (@p169 @p155)) % 0.36/0.60 (step @p171 :rule chain_m_resolution :premises (@p170 @p152) :args (@t103 @t71 (@list @t93))) % 0.36/0.60 (step @p172 :rule cnf_or_neg :args (@t102 2)) % 0.36/0.60 (step @p173 :rule chain_m_resolution :premises (@p172 @p171) :args ((not @t99) @t71 @t106)) % 0.36/0.60 (step @p174 :rule cnf_or_neg :args (@t102 1)) % 0.36/0.60 (step @p175 :rule chain_m_resolution :premises (@p174 @p171) :args ((not @t100) @t71 @t106)) % 0.36/0.60 (step @p176 :rule cnf_equiv_neg1 :args (@t100)) % 0.36/0.60 (step @p177 :rule reordering :premises (@p176) :args ((or @t61 @t98 @t100))) % 0.36/0.60 (step @p178 :rule chain_m_resolution :premises (@p177 @p134 @p175) :args (@t98 @t83 (@list @t61 @t100))) % 0.36/0.60 (step @p179 :rule bool-double-not-elim :args (@t97)) % 0.36/0.60 (step @p180 :rule bool-double-not-elim :args (@t61)) % 0.36/0.60 (step @p181 :rule nary_cong :premises (@p157 @p180 @p179) :args ((or @t99 (not @t62) (not @t98)))) % 0.36/0.60 (step @p182 :rule cnf_and_neg :args (@t99)) % 0.36/0.60 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.36/0.60 (step @p184 :rule reordering :premises (@p183) :args ((or @t61 @t97 @t99))) % 0.36/0.60 (step @p185 false :rule chain_m_resolution :premises (@p184 @p178 @p173 @p134) :args (false (@list true true true) (@list @t97 @t99 @t61))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------