%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN333+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 : n016.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 09:08:35 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN333+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 : n016.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:24:09 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.big_g (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t3 () (and (tptp.big_g @t2 @t1) (tptp.big_g @t1 @t1))) % 0.38/0.56 (define @t4 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.big_g @t2 @t4)) % 0.38/0.56 (define @t6 () (tptp.big_f @t2 @t4)) % 0.38/0.56 (define @t7 () (and @t6 @t5)) % 0.38/0.56 (define @t8 () (tptp.big_f @t1 @t1)) % 0.38/0.56 (define @t9 () (tptp.big_f @t4 @t1)) % 0.38/0.56 (define @t10 () (and @t9 @t8 (=> @t7 @t3))) % 0.38/0.56 (define @t11 () (@list @t1)) % 0.38/0.56 (define @t12 () (forall @t11 (=> @t6 @t10))) % 0.38/0.56 (define @t13 () (@list @t2 @t4)) % 0.38/0.56 (define @t14 () (exists @t13 @t12)) % 0.38/0.56 (define @t15 () (not @t14)) % 0.38/0.56 (define @t16 () (@var "BOUND_VARIABLE_7465" $$unsorted)) % 0.38/0.56 (define @t17 () (forall (@list @t16) (tptp.big_g @t16 @t16))) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (@var "BOUND_VARIABLE_7460" $$unsorted)) % 0.38/0.56 (define @t20 () (@var "BOUND_VARIABLE_7497" $$unsorted)) % 0.38/0.56 (define @t21 () (@list @t19)) % 0.38/0.56 (define @t22 () (@var "BOUND_VARIABLE_7499" $$unsorted)) % 0.38/0.56 (define @t23 () (and (tptp.big_f @t20 @t22) (tptp.big_g @t20 @t22) (or (not (forall @t21 (tptp.big_g @t20 @t19))) @t18))) % 0.38/0.56 (define @t24 () (@var "BOUND_VARIABLE_7439" $$unsorted)) % 0.38/0.56 (define @t25 () (@list @t24)) % 0.38/0.56 (define @t26 () (not (forall @t25 (tptp.big_f @t22 @t24)))) % 0.38/0.56 (define @t27 () (or @t26 @t23)) % 0.38/0.56 (define @t28 () (@list @t20 @t22)) % 0.38/0.56 (define @t29 () (forall @t28 @t27)) % 0.38/0.56 (define @t30 () (@var "BOUND_VARIABLE_7444" $$unsorted)) % 0.38/0.56 (define @t31 () (forall (@list @t30) (tptp.big_f @t30 @t30))) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (or @t32 @t29)) % 0.38/0.56 (define @t34 () (@var "BOUND_VARIABLE_7492" $$unsorted)) % 0.38/0.56 (define @t35 () (@var "BOUND_VARIABLE_7490" $$unsorted)) % 0.38/0.56 (define @t36 () (forall (@list @t35 @t34) (tptp.big_f @t35 @t34))) % 0.38/0.56 (define @t37 () (or @t32 @t27)) % 0.38/0.56 (define @t38 () (or @t26 @t32 @t23)) % 0.38/0.56 (define @t39 () (forall @t28 @t38)) % 0.38/0.56 (define @t40 () (forall @t21 (tptp.big_g @t2 @t19))) % 0.38/0.56 (define @t41 () (forall @t25 (tptp.big_f @t4 @t24))) % 0.38/0.56 (define @t42 () (not @t41)) % 0.38/0.56 (define @t43 () (or @t42 @t32 (and @t6 @t5 (or (not @t40) @t18)))) % 0.38/0.56 (define @t44 () (forall @t13 @t43)) % 0.38/0.56 (define @t45 () (@list @t2 @t4)) % 0.38/0.56 (define @t46 () (forall @t13 @t6)) % 0.38/0.56 (define @t47 () (and @t46 @t44)) % 0.38/0.56 (define @t48 () (and @t40 @t17)) % 0.38/0.56 (define @t49 () (not @t48)) % 0.38/0.56 (define @t50 () (not @t5)) % 0.38/0.56 (define @t51 () (not @t50)) % 0.38/0.56 (define @t52 () (not @t6)) % 0.38/0.56 (define @t53 () (not @t52)) % 0.38/0.56 (define @t54 () (and @t53 @t51 @t49)) % 0.38/0.56 (define @t55 () (or @t52 @t50 @t48)) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (define @t57 () (or @t42 @t32 @t56)) % 0.38/0.56 (define @t58 () (and @t41 @t31 @t55)) % 0.38/0.56 (define @t59 () (not @t58)) % 0.38/0.56 (define @t60 () (or @t52 @t58)) % 0.38/0.56 (define @t61 () (forall @t13 (not @t60))) % 0.38/0.56 (define @t62 () (not @t61)) % 0.38/0.56 (define @t63 () (@var "BOUND_VARIABLE_7449" $$unsorted)) % 0.38/0.56 (define @t64 () (tptp.big_g @t63 @t63)) % 0.38/0.56 (define @t65 () (@list @t63)) % 0.38/0.56 (define @t66 () (forall @t65 @t64)) % 0.38/0.56 (define @t67 () (@list @t63)) % 0.38/0.56 (define @t68 () (tptp.big_g @t2 @t63)) % 0.38/0.56 (define @t69 () (forall @t65 @t68)) % 0.38/0.56 (define @t70 () (and @t69 @t66)) % 0.38/0.56 (define @t71 () (and @t68 @t64)) % 0.38/0.56 (define @t72 () (forall @t65 @t71)) % 0.38/0.56 (define @t73 () (or @t52 @t50 @t72)) % 0.38/0.56 (define @t74 () (forall @t65 (or @t52 @t50 @t71))) % 0.38/0.56 (define @t75 () (or @t52 @t50 @t3)) % 0.38/0.56 (define @t76 () (forall @t11 @t75)) % 0.38/0.56 (define @t77 () (@list @t1)) % 0.38/0.56 (define @t78 () (forall @t11 @t8)) % 0.38/0.56 (define @t79 () (forall @t11 @t9)) % 0.38/0.56 (define @t80 () (and @t79 @t78 @t76)) % 0.38/0.56 (define @t81 () (and @t9 @t8 @t75)) % 0.38/0.56 (define @t82 () (forall @t11 @t81)) % 0.38/0.56 (define @t83 () (or @t52 @t82)) % 0.38/0.56 (define @t84 () (@quantifiers_skolemize @t31 0)) % 0.38/0.56 (define @t85 () (@list @t84 @t84)) % 0.38/0.56 (define @t86 () (tptp.big_f @t84 @t84)) % 0.38/0.56 (define @t87 () (not @t86)) % 0.38/0.56 (define @t88 () (@list false)) % 0.38/0.56 (define @t89 () (forall @t21 (tptp.big_g @t84 @t19))) % 0.38/0.56 (define @t90 () (not @t89)) % 0.38/0.56 (define @t91 () (or @t90 @t18)) % 0.38/0.56 (define @t92 () (and @t86 (tptp.big_g @t84 @t84) @t91)) % 0.38/0.56 (define @t93 () (forall @t25 (tptp.big_f @t84 @t24))) % 0.38/0.56 (define @t94 () (not @t93)) % 0.38/0.56 (define @t95 () (or @t94 @t92)) % 0.38/0.56 (define @t96 () (@list @t29)) % 0.38/0.56 (define @t97 () (@quantifiers_skolemize @t93 0)) % 0.38/0.56 (define @t98 () (tptp.big_f @t84 @t97)) % 0.38/0.56 (define @t99 () (not @t98)) % 0.38/0.56 (define @t100 () (@list false false)) % 0.38/0.56 (define @t101 () (@quantifiers_skolemize @t17 0)) % 0.38/0.56 (define @t102 () (tptp.big_g @t101 @t101)) % 0.38/0.56 (define @t103 () (and (tptp.big_f @t101 @t101) @t102 (or (not (forall @t21 (tptp.big_g @t101 @t19))) @t18))) % 0.38/0.56 (define @t104 () (forall @t25 (tptp.big_f @t101 @t24))) % 0.38/0.56 (define @t105 () (not @t104)) % 0.38/0.56 (define @t106 () (or @t105 @t103)) % 0.38/0.56 (define @t107 () (@quantifiers_skolemize @t104 0)) % 0.38/0.56 (define @t108 () (tptp.big_f @t101 @t107)) % 0.38/0.56 (define @t109 () (not @t108)) % 0.38/0.56 (define @t110 () (not @t102)) % 0.38/0.56 (define @t111 () (@quantifiers_skolemize @t89 0)) % 0.38/0.56 (define @t112 () (tptp.big_g @t84 @t111)) % 0.38/0.56 (define @t113 () (and (tptp.big_f @t84 @t111) @t112 @t91)) % 0.38/0.56 (define @t114 () (forall @t25 (tptp.big_f @t111 @t24))) % 0.38/0.56 (define @t115 () (not @t114)) % 0.38/0.56 (define @t116 () (or @t115 @t113)) % 0.38/0.56 (define @t117 () (@quantifiers_skolemize @t114 0)) % 0.38/0.56 (define @t118 () (tptp.big_f @t111 @t117)) % 0.38/0.56 (define @t119 () (not @t118)) % 0.38/0.56 (define @t120 () (not @t112)) % 0.38/0.56 (assume @p1 @t15) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule bool-double-not-elim :args ((and @t36 @t33))) % 0.38/0.56 (step @p4 :rule quant-miniscope-or :args ((= (forall @t28 @t37) @t33))) % 0.38/0.56 (step @p5 :rule aci_norm :args ((= @t38 @t37))) % 0.38/0.56 (step @p6 :rule cong :premises (@p5) :args (@t39)) % 0.38/0.56 (step @p7 :rule trans :premises (@p6 @p4)) % 0.38/0.56 (step @p8 :rule refl :args (@t36)) % 0.38/0.56 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((and @t36 @t39))) % 0.38/0.56 (step @p10 :rule alpha_equiv :args (@t44 @t45 (@list @t20 @t22))) % 0.38/0.56 (step @p11 :rule alpha_equiv :args (@t46 @t45 (@list @t35 @t34))) % 0.38/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t47)) % 0.38/0.56 (step @p13 :rule quant-miniscope-and :args ((= (forall @t13 (and @t6 @t43)) @t47))) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p9)) % 0.38/0.56 (step @p16 :rule bool-and-de-morgan :args (@t40 @t17 true)) % 0.38/0.56 (step @p17 :rule refl :args (@t5)) % 0.38/0.56 (step @p18 :rule refl :args (@t6)) % 0.38/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16) :args ((and @t6 @t5 @t49))) % 0.38/0.56 (step @p20 :rule refl :args (@t49)) % 0.38/0.56 (step @p21 :rule bool-double-not-elim :args (@t5)) % 0.38/0.56 (step @p22 :rule bool-double-not-elim :args (@t6)) % 0.38/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t54)) % 0.38/0.56 (step @p24 :rule aci_norm :args ((= (and @t53 (and @t51 @t49)) @t54))) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.56 (step @p26 :rule bool-or-de-morgan :args (@t50 @t48 false)) % 0.38/0.56 (step @p27 :rule refl :args (@t53)) % 0.38/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((and @t53 (not (or @t50 @t48))))) % 0.38/0.56 (step @p29 :rule bool-or-de-morgan :args (@t52 @t50 (or @t48))) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p25)) % 0.38/0.56 (step @p32 :rule trans :premises (@p31 @p19)) % 0.38/0.56 (step @p33 :rule refl :args (@t32)) % 0.38/0.56 (step @p34 :rule refl :args (@t42)) % 0.38/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t57)) % 0.38/0.56 (step @p36 :rule aci_norm :args ((= (or @t42 (or @t32 @t56)) @t57))) % 0.38/0.56 (step @p37 :rule bool-and-de-morgan :args (@t31 @t55 true)) % 0.38/0.56 (step @p38 :rule nary_cong :premises (@p34 @p37) :args ((or @t42 (not (and @t31 @t55))))) % 0.38/0.56 (step @p39 :rule bool-and-de-morgan :args (@t41 @t31 (and @t55))) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.56 (step @p41 :rule trans :premises (@p40 @p36)) % 0.38/0.56 (step @p42 :rule trans :premises (@p41 @p35)) % 0.38/0.56 (step @p43 :rule nary_cong :premises (@p18 @p42) :args ((and @t6 @t59))) % 0.38/0.56 (step @p44 :rule refl :args (@t59)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p22 @p44) :args ((and @t53 @t59))) % 0.38/0.56 (step @p46 :rule bool-or-de-morgan :args (@t52 @t58 false)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p43)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48) :args (@t61)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p15)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50) :args (@t62)) % 0.38/0.56 (step @p52 :rule exists-elim :args ((= (exists @t13 @t60) @t62))) % 0.38/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.38/0.56 (step @p54 :rule alpha_equiv :args (@t66 @t67 (@list @t16))) % 0.38/0.56 (step @p55 :rule alpha_equiv :args (@t69 @t67 (@list @t19))) % 0.38/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t70)) % 0.38/0.56 (step @p57 :rule quant-miniscope-and :args ((= @t72 @t70))) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.56 (step @p59 :rule refl :args (@t50)) % 0.38/0.56 (step @p60 :rule refl :args (@t52)) % 0.38/0.56 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t73)) % 0.38/0.56 (step @p62 :rule quant-miniscope-or :args ((= @t74 @t73))) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p61)) % 0.38/0.56 (step @p64 :rule refl :args (@t31)) % 0.38/0.56 (step @p65 :rule refl :args (@t41)) % 0.38/0.56 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args ((and @t41 @t31 @t74))) % 0.38/0.56 (step @p67 :rule alpha_equiv :args (@t76 @t77 @t67)) % 0.38/0.56 (step @p68 :rule alpha_equiv :args (@t78 @t77 (@list @t30))) % 0.38/0.56 (step @p69 :rule alpha_equiv :args (@t79 @t77 (@list @t24))) % 0.38/0.56 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args (@t80)) % 0.38/0.56 (step @p71 :rule quant-miniscope-and :args ((= @t82 @t80))) % 0.38/0.56 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p66)) % 0.38/0.56 (step @p74 :rule nary_cong :premises (@p60 @p73) :args (@t83)) % 0.38/0.56 (step @p75 :rule quant-miniscope-or :args ((= (forall @t11 (or @t52 @t81)) @t83))) % 0.38/0.56 (step @p76 :rule trans :premises (@p75 @p74)) % 0.38/0.56 (step @p77 :rule aci_norm :args ((= (or (or @t52 @t50) @t3) @t75))) % 0.38/0.56 (step @p78 :rule refl :args (@t3)) % 0.38/0.56 (step @p79 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.38/0.56 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t7) @t3))) % 0.38/0.56 (step @p81 :rule trans :premises (@p80 @p77)) % 0.38/0.56 (step @p82 :rule bool-impl-elim :args (@t7 @t3)) % 0.38/0.56 (step @p83 :rule trans :premises (@p82 @p81)) % 0.38/0.56 (step @p84 :rule refl :args (@t8)) % 0.38/0.56 (step @p85 :rule refl :args (@t9)) % 0.38/0.56 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args (@t10)) % 0.38/0.56 (step @p87 :rule refl :args (@t52)) % 0.38/0.56 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t52 @t10))) % 0.38/0.56 (step @p89 :rule bool-impl-elim :args (@t6 @t10)) % 0.38/0.56 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.56 (step @p91 :rule cong :premises (@p90) :args (@t12)) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p76)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args (@t14)) % 0.38/0.56 (step @p94 :rule trans :premises (@p93 @p53)) % 0.38/0.56 (step @p95 :rule cong :premises (@p94) :args (@t15)) % 0.38/0.56 (step @p96 :rule trans :premises (@p95 @p3)) % 0.38/0.56 (step @p97 :rule eq_resolve :premises (@p1 @p96)) % 0.38/0.56 (step @p98 :rule and_elim :premises (@p97) :args (0)) % 0.38/0.56 (step @p99 :rule instantiate :premises (@p98) :args (@t85)) % 0.38/0.56 (step @p100 :rule refl :args (@t87)) % 0.38/0.56 (step @p101 :rule bool-double-not-elim :args (@t31)) % 0.38/0.56 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t32) @t87))) % 0.38/0.56 (assume-push @p204 @t32) % 0.38/0.56 (step @p104 :rule skolemize :premises (@p204)) % 0.38/0.56 (step-pop @p205 :rule scope :premises (@p104)) % 0.38/0.56 (step @p105 :rule process_scope :premises (@p205) :args (@t87)) % 0.38/0.56 (step @p107 :rule implies_elim :premises (@p105)) % 0.38/0.56 (step @p108 :rule eq_resolve :premises (@p107 @p102)) % 0.38/0.56 (step @p109 :rule chain_m_resolution :premises (@p108 @p99) :args (@t31 @t88 (@list @t86))) % 0.38/0.56 (step @p110 :rule and_elim :premises (@p97) :args (1)) % 0.38/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p109) :args (@t29 @t88 (@list @t31))) % 0.38/0.56 (assume-push @p206 @t29) % 0.38/0.56 (step @p113 :rule instantiate :premises (@p206) :args (@t85)) % 0.38/0.56 (step-pop @p207 :rule scope :premises (@p113)) % 0.38/0.56 (step @p114 :rule process_scope :premises (@p207) :args (@t95)) % 0.38/0.56 (step @p116 :rule implies_elim :premises (@p114)) % 0.38/0.56 (step @p117 :rule chain_m_resolution :premises (@p116 @p111) :args (@t95 @t88 @t96)) % 0.38/0.56 (step @p118 :rule instantiate :premises (@p98) :args ((@list @t84 @t97))) % 0.38/0.56 (step @p119 :rule refl :args (@t99)) % 0.38/0.56 (step @p120 :rule bool-double-not-elim :args (@t93)) % 0.38/0.56 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t94) @t99))) % 0.38/0.56 (assume-push @p208 @t94) % 0.38/0.56 (step @p123 :rule skolemize :premises (@p208)) % 0.38/0.56 (step-pop @p209 :rule scope :premises (@p123)) % 0.38/0.56 (step @p124 :rule process_scope :premises (@p209) :args (@t99)) % 0.38/0.56 (step @p126 :rule implies_elim :premises (@p124)) % 0.38/0.56 (step @p127 :rule eq_resolve :premises (@p126 @p121)) % 0.38/0.56 (step @p128 :rule chain_m_resolution :premises (@p127 @p118) :args (@t93 @t88 (@list @t98))) % 0.38/0.56 (step @p129 :rule cnf_or_pos :args (@t95)) % 0.38/0.56 (step @p130 :rule reordering :premises (@p129) :args ((or @t94 @t92 (not @t95)))) % 0.38/0.56 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p117) :args (@t92 @t100 (@list @t93 @t95))) % 0.38/0.56 (step @p132 :rule cnf_and_pos :args (@t92 2)) % 0.38/0.56 (step @p133 :rule reordering :premises (@p132) :args ((or @t91 (not @t92)))) % 0.38/0.56 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t91 @t88 (@list @t92))) % 0.38/0.56 (assume-push @p210 @t29) % 0.38/0.56 (step @p136 :rule instantiate :premises (@p210) :args ((@list @t101 @t101))) % 0.38/0.56 (step-pop @p211 :rule scope :premises (@p136)) % 0.38/0.56 (step @p137 :rule process_scope :premises (@p211) :args (@t106)) % 0.38/0.56 (step @p139 :rule implies_elim :premises (@p137)) % 0.38/0.56 (step @p140 :rule chain_m_resolution :premises (@p139 @p111) :args (@t106 @t88 @t96)) % 0.38/0.56 (step @p141 :rule instantiate :premises (@p98) :args ((@list @t101 @t107))) % 0.38/0.56 (step @p142 :rule refl :args (@t109)) % 0.38/0.56 (step @p143 :rule bool-double-not-elim :args (@t104)) % 0.38/0.56 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or (not @t105) @t109))) % 0.38/0.56 (assume-push @p212 @t105) % 0.38/0.56 (step @p146 :rule skolemize :premises (@p212)) % 0.38/0.56 (step-pop @p213 :rule scope :premises (@p146)) % 0.38/0.56 (step @p147 :rule process_scope :premises (@p213) :args (@t109)) % 0.38/0.56 (step @p149 :rule implies_elim :premises (@p147)) % 0.38/0.56 (step @p150 :rule eq_resolve :premises (@p149 @p144)) % 0.38/0.56 (step @p151 :rule chain_m_resolution :premises (@p150 @p141) :args (@t104 @t88 (@list @t108))) % 0.38/0.56 (step @p152 :rule cnf_or_pos :args (@t106)) % 0.38/0.56 (step @p153 :rule reordering :premises (@p152) :args ((or @t105 @t103 (not @t106)))) % 0.38/0.56 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p140) :args (@t103 @t100 (@list @t104 @t106))) % 0.38/0.56 (step @p155 :rule cnf_and_pos :args (@t103 1)) % 0.38/0.56 (step @p156 :rule reordering :premises (@p155) :args ((or @t102 (not @t103)))) % 0.38/0.56 (step @p157 :rule chain_m_resolution :premises (@p156 @p154) :args (@t102 @t88 (@list @t103))) % 0.38/0.56 (step @p158 :rule refl :args (@t110)) % 0.38/0.56 (step @p159 :rule bool-double-not-elim :args (@t17)) % 0.38/0.56 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t18) @t110))) % 0.38/0.56 (assume-push @p214 @t18) % 0.38/0.56 (step @p162 :rule skolemize :premises (@p214)) % 0.38/0.56 (step-pop @p215 :rule scope :premises (@p162)) % 0.38/0.56 (step @p163 :rule process_scope :premises (@p215) :args (@t110)) % 0.38/0.56 (step @p165 :rule implies_elim :premises (@p163)) % 0.38/0.56 (step @p166 :rule eq_resolve :premises (@p165 @p160)) % 0.38/0.56 (step @p167 :rule chain_m_resolution :premises (@p166 @p157) :args (@t17 @t88 (@list @t102))) % 0.38/0.56 (assume-push @p216 @t29) % 0.38/0.56 (step @p169 :rule instantiate :premises (@p216) :args ((@list @t84 @t111))) % 0.38/0.56 (step-pop @p217 :rule scope :premises (@p169)) % 0.38/0.56 (step @p170 :rule process_scope :premises (@p217) :args (@t116)) % 0.38/0.56 (step @p172 :rule implies_elim :premises (@p170)) % 0.38/0.56 (step @p173 :rule chain_m_resolution :premises (@p172 @p111) :args (@t116 @t88 @t96)) % 0.38/0.56 (step @p174 :rule instantiate :premises (@p98) :args ((@list @t111 @t117))) % 0.38/0.56 (step @p175 :rule refl :args (@t119)) % 0.38/0.56 (step @p176 :rule bool-double-not-elim :args (@t114)) % 0.38/0.56 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or (not @t115) @t119))) % 0.38/0.56 (assume-push @p218 @t115) % 0.38/0.56 (step @p179 :rule skolemize :premises (@p218)) % 0.38/0.56 (step-pop @p219 :rule scope :premises (@p179)) % 0.38/0.56 (step @p180 :rule process_scope :premises (@p219) :args (@t119)) % 0.38/0.56 (step @p182 :rule implies_elim :premises (@p180)) % 0.38/0.56 (step @p183 :rule eq_resolve :premises (@p182 @p177)) % 0.38/0.56 (step @p184 :rule chain_m_resolution :premises (@p183 @p174) :args (@t114 @t88 (@list @t118))) % 0.38/0.56 (step @p185 :rule cnf_or_pos :args (@t116)) % 0.38/0.56 (step @p186 :rule reordering :premises (@p185) :args ((or @t115 @t113 (not @t116)))) % 0.38/0.56 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p173) :args (@t113 @t100 (@list @t114 @t116))) % 0.38/0.56 (step @p188 :rule cnf_and_pos :args (@t113 1)) % 0.38/0.56 (step @p189 :rule reordering :premises (@p188) :args ((or @t112 (not @t113)))) % 0.38/0.56 (step @p190 :rule chain_m_resolution :premises (@p189 @p187) :args (@t112 @t88 (@list @t113))) % 0.38/0.56 (step @p191 :rule refl :args (@t120)) % 0.38/0.56 (step @p192 :rule bool-double-not-elim :args (@t89)) % 0.38/0.56 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t90) @t120))) % 0.38/0.56 (assume-push @p220 @t90) % 0.38/0.56 (step @p195 :rule skolemize :premises (@p220)) % 0.38/0.56 (step-pop @p221 :rule scope :premises (@p195)) % 0.38/0.56 (step @p196 :rule process_scope :premises (@p221) :args (@t120)) % 0.38/0.56 (step @p198 :rule implies_elim :premises (@p196)) % 0.38/0.56 (step @p199 :rule eq_resolve :premises (@p198 @p193)) % 0.38/0.56 (step @p200 :rule chain_m_resolution :premises (@p199 @p190) :args (@t89 @t88 (@list @t112))) % 0.38/0.56 (step @p201 :rule cnf_or_pos :args (@t91)) % 0.38/0.56 (step @p202 :rule reordering :premises (@p201) :args ((or @t18 @t90 (not @t91)))) % 0.38/0.56 (step @p203 false :rule chain_m_resolution :premises (@p202 @p200 @p167 @p134) :args (false (@list false false false) (@list @t89 @t17 @t91))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------