%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN364+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 09:08:42 AM UTC 2026 % Result : Theorem 15.32s 15.59s % Output : Proof 15.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN364+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 23:25:39 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 15.32/15.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 15.32/15.59 % SZS status Theorem % 15.32/15.59 % SZS output start Proof % 15.32/15.59 ( % 15.32/15.59 (declare-sort $$unsorted 0) % 15.32/15.59 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 15.32/15.59 (declare-const tptp.big_q (-> $$unsorted Bool)) % 15.32/15.59 (declare-const tptp.big_m (-> $$unsorted Bool)) % 15.32/15.59 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 15.32/15.59 (declare-const tptp.big_p (-> $$unsorted $$unsorted Bool)) % 15.32/15.59 (define @t1 () (@var "U" $$unsorted)) % 15.32/15.59 (define @t2 () (tptp.big_p @t1 @t1)) % 15.32/15.59 (define @t3 () (@var "V" $$unsorted)) % 15.32/15.59 (define @t4 () (tptp.big_p (tptp.g @t1) @t3)) % 15.32/15.59 (define @t5 () (and @t4 @t2)) % 15.32/15.59 (define @t6 () (@list @t3)) % 15.32/15.59 (define @t7 () (exists @t6 @t5)) % 15.32/15.59 (define @t8 () (@list @t1)) % 15.32/15.59 (define @t9 () (forall @t8 @t7)) % 15.32/15.59 (define @t10 () (@var "W" $$unsorted)) % 15.32/15.59 (define @t11 () (not (tptp.big_m (tptp.g @t10)))) % 15.32/15.59 (define @t12 () (tptp.big_q @t10)) % 15.32/15.59 (define @t13 () (forall (@list @t10) (=> @t12 @t11))) % 15.32/15.59 (define @t14 () (tptp.big_q (tptp.f @t1 @t3))) % 15.32/15.59 (define @t15 () (tptp.big_m @t1)) % 15.32/15.59 (define @t16 () (and @t15 @t14)) % 15.32/15.59 (define @t17 () (tptp.big_p @t1 @t3)) % 15.32/15.59 (define @t18 () (or @t17 @t16)) % 15.32/15.59 (define @t19 () (exists @t6 @t18)) % 15.32/15.59 (define @t20 () (forall @t8 @t19)) % 15.32/15.59 (define @t21 () (@var "Z" $$unsorted)) % 15.32/15.59 (define @t22 () (forall (@list @t21) (tptp.big_p @t21 @t21))) % 15.32/15.59 (define @t23 () (@var "Y" $$unsorted)) % 15.32/15.59 (define @t24 () (@var "X" $$unsorted)) % 15.32/15.59 (define @t25 () (tptp.big_p @t24 @t23)) % 15.32/15.59 (define @t26 () (@list @t23)) % 15.32/15.59 (define @t27 () (exists @t26 @t25)) % 15.32/15.59 (define @t28 () (=> @t27 @t22)) % 15.32/15.59 (define @t29 () (@list @t24)) % 15.32/15.59 (define @t30 () (forall @t29 @t28)) % 15.32/15.59 (define @t31 () (and @t30 @t20 @t13)) % 15.32/15.59 (define @t32 () (=> @t31 @t9)) % 15.32/15.59 (define @t33 () (not @t32)) % 15.32/15.59 (define @t34 () (@var "BOUND_VARIABLE_7523" $$unsorted)) % 15.32/15.59 (define @t35 () (@list @t34)) % 15.32/15.59 (define @t36 () (not @t22)) % 15.32/15.59 (define @t37 () (forall (@list @t34) (tptp.big_p @t34 @t34))) % 15.32/15.59 (define @t38 () (@var "BOUND_VARIABLE_7528" $$unsorted)) % 15.32/15.59 (define @t39 () (forall (@list @t38) (not (forall @t6 (not (tptp.big_p (tptp.g @t38) @t3)))))) % 15.32/15.59 (define @t40 () (tptp.g (@quantifiers_skolemize @t39 0))) % 15.32/15.59 (define @t41 () (@list @t40)) % 15.32/15.59 (define @t42 () (tptp.big_p @t40 @t40)) % 15.32/15.59 (define @t43 () (not @t4)) % 15.32/15.59 (define @t44 () (forall @t6 @t43)) % 15.32/15.59 (define @t45 () (not @t44)) % 15.32/15.59 (define @t46 () (forall @t8 @t45)) % 15.32/15.59 (define @t47 () (@list @t1)) % 15.32/15.59 (define @t48 () (forall @t8 @t2)) % 15.32/15.59 (define @t49 () (and @t48 @t46)) % 15.32/15.59 (define @t50 () (not @t2)) % 15.32/15.59 (define @t51 () (or @t50 @t44)) % 15.32/15.59 (define @t52 () (or @t50 @t43)) % 15.32/15.59 (define @t53 () (or @t43 @t50)) % 15.32/15.59 (define @t54 () (forall @t6 (not @t5))) % 15.32/15.59 (define @t55 () (not @t54)) % 15.32/15.59 (define @t56 () (@var "BOUND_VARIABLE_7485" $$unsorted)) % 15.32/15.59 (define @t57 () (not (tptp.big_q (tptp.f @t1 @t56)))) % 15.32/15.59 (define @t58 () (@list @t56)) % 15.32/15.59 (define @t59 () (forall @t58 @t57)) % 15.32/15.59 (define @t60 () (not @t59)) % 15.32/15.59 (define @t61 () (not @t15)) % 15.32/15.59 (define @t62 () (@var "BOUND_VARIABLE_7479" $$unsorted)) % 15.32/15.59 (define @t63 () (@list @t62)) % 15.32/15.59 (define @t64 () (forall @t63 (not (tptp.big_p @t1 @t62)))) % 15.32/15.59 (define @t65 () (not @t64)) % 15.32/15.59 (define @t66 () (or @t61 @t59)) % 15.32/15.59 (define @t67 () (forall @t58 (or @t61 @t57))) % 15.32/15.59 (define @t68 () (or @t61 (not @t14))) % 15.32/15.59 (define @t69 () (forall @t6 @t68)) % 15.32/15.59 (define @t70 () (@list @t3)) % 15.32/15.59 (define @t71 () (not @t17)) % 15.32/15.59 (define @t72 () (forall @t6 @t71)) % 15.32/15.59 (define @t73 () (and @t72 @t69)) % 15.32/15.59 (define @t74 () (forall @t6 (not @t18))) % 15.32/15.59 (define @t75 () (not @t74)) % 15.32/15.59 (define @t76 () (not @t25)) % 15.32/15.59 (define @t77 () (forall (@list @t24 @t23) @t76)) % 15.32/15.59 (define @t78 () (forall @t26 @t76)) % 15.32/15.59 (define @t79 () (forall @t29 @t78)) % 15.32/15.59 (define @t80 () (or @t22 @t79)) % 15.32/15.59 (define @t81 () (or @t22 @t78)) % 15.32/15.59 (define @t82 () (or @t78 @t22)) % 15.32/15.59 (define @t83 () (not @t78)) % 15.32/15.59 (define @t84 () (forall @t6 (not (tptp.big_p @t40 @t3)))) % 15.32/15.59 (define @t85 () (not @t39)) % 15.32/15.59 (define @t86 () (not (not @t84))) % 15.32/15.59 (define @t87 () (@list true)) % 15.32/15.59 (define @t88 () (@const 0 $$unsorted)) % 15.32/15.59 (define @t89 () (forall @t58 (not (tptp.big_q (tptp.f @t88 @t56))))) % 15.32/15.59 (define @t90 () (tptp.f @t88 (@quantifiers_skolemize @t89 0))) % 15.32/15.59 (define @t91 () (tptp.g @t90)) % 15.32/15.59 (define @t92 () (forall @t63 (not (tptp.big_p @t88 @t62)))) % 15.32/15.59 (define @t93 () (@quantifiers_skolemize @t92 0)) % 15.32/15.59 (define @t94 () (tptp.big_p @t88 @t93)) % 15.32/15.59 (define @t95 () (not @t94)) % 15.32/15.59 (define @t96 () (@list false)) % 15.32/15.59 (define @t97 () (not @t92)) % 15.32/15.59 (define @t98 () (not @t95)) % 15.32/15.59 (define @t99 () (not @t89)) % 15.32/15.59 (define @t100 () (and (tptp.big_m @t88) @t99)) % 15.32/15.59 (define @t101 () (or @t97 @t100)) % 15.32/15.59 (define @t102 () (@list false false)) % 15.32/15.59 (define @t103 () (tptp.big_q @t90)) % 15.32/15.59 (define @t104 () (not @t103)) % 15.32/15.59 (define @t105 () (not @t104)) % 15.32/15.59 (define @t106 () (tptp.big_m @t91)) % 15.32/15.59 (define @t107 () (not @t106)) % 15.32/15.59 (define @t108 () (or @t104 @t107)) % 15.32/15.59 (define @t109 () (and @t106 (not (forall @t58 (not (tptp.big_q (tptp.f @t91 @t56))))))) % 15.32/15.59 (define @t110 () (not @t109)) % 15.32/15.59 (define @t111 () (forall @t63 (not (tptp.big_p @t91 @t62)))) % 15.32/15.59 (define @t112 () (not @t111)) % 15.32/15.59 (define @t113 () (or @t112 @t109)) % 15.32/15.59 (define @t114 () (@quantifiers_skolemize @t111 0)) % 15.32/15.59 (define @t115 () (tptp.big_p @t91 @t114)) % 15.32/15.59 (define @t116 () (not @t115)) % 15.32/15.59 (define @t117 () (not @t116)) % 15.32/15.59 (assume @p1 @t33) % 15.32/15.59 (assume @p2 true) % 15.32/15.59 (step @p3 :rule alpha_equiv :args (@t22 (@list @t21) @t35)) % 15.32/15.59 (step @p4 :rule equiv_elim1 :premises (@p3)) % 15.32/15.59 (step @p5 :rule reordering :premises (@p4) :args ((or @t37 @t36))) % 15.32/15.59 (assume-push @p189 @t22) % 15.32/15.59 (step @p7 :rule instantiate :premises (@p189) :args (@t41)) % 15.32/15.59 (step-pop @p190 :rule scope :premises (@p7)) % 15.32/15.59 (step @p8 :rule process_scope :premises (@p190) :args (@t42)) % 15.32/15.59 (step @p10 :rule implies_elim :premises (@p8)) % 15.32/15.59 (step @p11 :rule alpha_equiv :args (@t46 @t47 (@list @t38))) % 15.32/15.59 (step @p12 :rule alpha_equiv :args (@t48 @t47 @t35)) % 15.32/15.59 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t49)) % 15.32/15.59 (step @p14 :rule quant-miniscope-and :args ((= (forall @t8 (and @t2 @t45)) @t49))) % 15.32/15.59 (step @p15 :rule trans :premises (@p14 @p13)) % 15.32/15.59 (step @p16 :rule refl :args (@t45)) % 15.32/15.59 (step @p17 :rule bool-double-not-elim :args (@t2)) % 15.32/15.59 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((and (not @t50) @t45))) % 15.32/15.59 (step @p19 :rule bool-or-de-morgan :args (@t50 @t44 false)) % 15.32/15.59 (step @p20 :rule trans :premises (@p19 @p18)) % 15.32/15.59 (step @p21 :rule cong :premises (@p20) :args ((forall @t8 (not @t51)))) % 15.32/15.59 (step @p22 :rule trans :premises (@p21 @p15)) % 15.32/15.59 (step @p23 :rule quant-miniscope-or :args ((= (forall @t6 @t52) @t51))) % 15.32/15.59 (step @p24 :rule aci_norm :args ((= @t53 @t52))) % 15.32/15.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t6 @t53))) % 15.32/15.59 (step @p26 :rule trans :premises (@p25 @p23)) % 15.32/15.59 (step @p27 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 15.32/15.59 (step @p28 :rule cong :premises (@p27) :args (@t54)) % 15.32/15.59 (step @p29 :rule trans :premises (@p28 @p26)) % 15.32/15.59 (step @p30 :rule cong :premises (@p29) :args (@t55)) % 15.32/15.59 (step @p31 :rule exists-elim :args ((= @t7 @t55))) % 15.32/15.59 (step @p32 :rule trans :premises (@p31 @p30)) % 15.32/15.59 (step @p33 :rule cong :premises (@p32) :args (@t9)) % 15.32/15.59 (step @p34 :rule trans :premises (@p33 @p22)) % 15.32/15.59 (step @p35 :rule bool-impl-elim :args (@t12 @t11)) % 15.32/15.59 (step @p36 :rule cong :premises (@p35) :args (@t13)) % 15.32/15.59 (step @p37 :rule refl :args (@t60)) % 15.32/15.59 (step @p38 :rule bool-double-not-elim :args (@t15)) % 15.32/15.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((and (not @t61) @t60))) % 15.32/15.59 (step @p40 :rule bool-or-de-morgan :args (@t61 @t59 false)) % 15.32/15.59 (step @p41 :rule trans :premises (@p40 @p39)) % 15.32/15.59 (step @p42 :rule refl :args (@t65)) % 15.32/15.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t65 (not @t66)))) % 15.32/15.59 (step @p44 :rule bool-and-de-morgan :args (@t64 @t66 true)) % 15.32/15.59 (step @p45 :rule trans :premises (@p44 @p43)) % 15.32/15.59 (step @p46 :rule cong :premises (@p45) :args ((forall @t8 (not (and @t64 @t66))))) % 15.32/15.59 (step @p47 :rule quant-miniscope-or :args ((= @t67 @t66))) % 15.32/15.59 (step @p48 :rule refl :args (@t64)) % 15.32/15.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((and @t64 @t67))) % 15.32/15.59 (step @p50 :rule alpha_equiv :args (@t69 @t70 (@list @t56))) % 15.32/15.59 (step @p51 :rule alpha_equiv :args (@t72 @t70 (@list @t62))) % 15.32/15.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t73)) % 15.32/15.59 (step @p53 :rule quant-miniscope-and :args ((= (forall @t6 (and @t71 @t68)) @t73))) % 15.32/15.59 (step @p54 :rule trans :premises (@p53 @p52)) % 15.32/15.59 (step @p55 :rule trans :premises (@p54 @p49)) % 15.32/15.59 (step @p56 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 15.32/15.59 (step @p57 :rule refl :args (@t71)) % 15.32/15.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((and @t71 (not @t16)))) % 15.32/15.59 (step @p59 :rule bool-or-de-morgan :args (@t17 @t16 false)) % 15.32/15.59 (step @p60 :rule trans :premises (@p59 @p58)) % 15.32/15.59 (step @p61 :rule cong :premises (@p60) :args (@t74)) % 15.32/15.59 (step @p62 :rule trans :premises (@p61 @p55)) % 15.32/15.59 (step @p63 :rule cong :premises (@p62) :args (@t75)) % 15.32/15.59 (step @p64 :rule exists-elim :args ((= @t19 @t75))) % 15.32/15.59 (step @p65 :rule trans :premises (@p64 @p63)) % 15.32/15.59 (step @p66 :rule cong :premises (@p65) :args (@t20)) % 15.32/15.59 (step @p67 :rule trans :premises (@p66 @p46)) % 15.32/15.59 (step @p68 :rule quant-merge-prenex :args ((= @t79 @t77))) % 15.32/15.59 (step @p69 :rule refl :args (@t22)) % 15.32/15.59 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t80)) % 15.32/15.59 (step @p71 :rule quant-miniscope-or :args ((= (forall @t29 @t81) @t80))) % 15.32/15.59 (step @p72 :rule aci_norm :args ((= @t82 @t81))) % 15.32/15.59 (step @p73 :rule cong :premises (@p72) :args ((forall @t29 @t82))) % 15.32/15.59 (step @p74 :rule trans :premises (@p73 @p71)) % 15.32/15.59 (step @p75 :rule trans :premises (@p74 @p70)) % 15.32/15.59 (step @p76 :rule refl :args (@t22)) % 15.32/15.59 (step @p77 :rule bool-double-not-elim :args (@t78)) % 15.32/15.59 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t83) @t22))) % 15.32/15.59 (step @p79 :rule bool-impl-elim :args (@t83 @t22)) % 15.32/15.59 (step @p80 :rule trans :premises (@p79 @p78)) % 15.32/15.59 (step @p81 :rule cong :premises (@p80) :args ((forall @t29 (=> @t83 @t22)))) % 15.32/15.59 (step @p82 :rule trans :premises (@p81 @p75)) % 15.32/15.59 (step @p83 :rule exists-elim :args ((= @t27 @t83))) % 15.32/15.59 (step @p84 :rule cong :premises (@p83 @p69) :args (@t28)) % 15.32/15.59 (step @p85 :rule cong :premises (@p84) :args (@t30)) % 15.32/15.59 (step @p86 :rule trans :premises (@p85 @p82)) % 15.32/15.59 (step @p87 :rule nary_cong :premises (@p86 @p67 @p36) :args (@t31)) % 15.32/15.59 (step @p88 :rule cong :premises (@p87 @p34) :args (@t32)) % 15.32/15.59 (step @p89 :rule cong :premises (@p88) :args (@t33)) % 15.32/15.59 (step @p90 :rule eq_resolve :premises (@p1 @p89)) % 15.32/15.59 (step @p91 :rule not_implies_elim2 :premises (@p90)) % 15.32/15.59 (step @p92 :rule not_and :premises (@p91)) % 15.32/15.59 (assume-push @p191 @t84) % 15.32/15.59 (step @p94 :rule instantiate :premises (@p191) :args (@t41)) % 15.32/15.59 (step-pop @p192 :rule scope :premises (@p94)) % 15.32/15.59 (step @p95 :rule process_scope :premises (@p192) :args ((not @t42))) % 15.32/15.59 (step @p97 :rule implies_elim :premises (@p95)) % 15.32/15.59 (step @p98 :rule refl :args (@t84)) % 15.32/15.59 (step @p99 :rule bool-double-not-elim :args (@t39)) % 15.32/15.59 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t85) @t84))) % 15.32/15.59 (step @p101 :rule bool-double-not-elim :args (@t84)) % 15.32/15.59 (step @p102 :rule refl :args (@t85)) % 15.32/15.59 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t85 @t86))) % 15.32/15.59 (assume-push @p193 @t85) % 15.32/15.59 (step @p105 :rule skolemize :premises (@p193)) % 15.32/15.59 (step-pop @p194 :rule scope :premises (@p105)) % 15.32/15.59 (step @p106 :rule process_scope :premises (@p194) :args (@t86)) % 15.32/15.59 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 15.32/15.59 (step @p109 :rule implies_elim :premises (@p108)) % 15.32/15.59 (step @p110 :rule eq_resolve :premises (@p109 @p100)) % 15.32/15.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p97 @p92 @p10 @p5) :args (@t36 (@list true true false false) (@list @t84 @t39 @t42 @t37))) % 15.32/15.59 (step @p112 :rule not_implies_elim1 :premises (@p90)) % 15.32/15.59 (step @p113 :rule and_elim :premises (@p112) :args (0)) % 15.32/15.59 (step @p114 :rule chain_m_resolution :premises (@p113 @p111) :args (@t77 @t87 (@list @t22))) % 15.32/15.59 (step @p115 :rule and_elim :premises (@p112) :args (1)) % 15.32/15.59 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t91))) % 15.32/15.59 (step @p117 :rule and_elim :premises (@p112) :args (2)) % 15.32/15.59 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t90))) % 15.32/15.59 (step @p119 :rule instantiate :premises (@p115) :args ((@list @t88))) % 15.32/15.59 (assume-push @p195 @t77) % 15.32/15.59 (step @p121 :rule instantiate :premises (@p195) :args ((@list @t88 @t93))) % 15.32/15.59 (step-pop @p196 :rule scope :premises (@p121)) % 15.32/15.59 (step @p122 :rule process_scope :premises (@p196) :args (@t95)) % 15.32/15.59 (step @p124 :rule implies_elim :premises (@p122)) % 15.32/15.59 (step @p125 :rule chain_m_resolution :premises (@p124 @p114) :args (@t95 @t96 (@list @t77))) % 15.32/15.59 (step @p126 :rule refl :args (@t94)) % 15.32/15.59 (step @p127 :rule bool-double-not-elim :args (@t92)) % 15.32/15.59 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or (not @t97) @t94))) % 15.32/15.59 (step @p129 :rule bool-double-not-elim :args (@t94)) % 15.32/15.59 (step @p130 :rule refl :args (@t97)) % 15.32/15.59 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t97 @t98))) % 15.32/15.59 (assume-push @p197 @t97) % 15.32/15.59 (step @p133 :rule skolemize :premises (@p197)) % 15.32/15.59 (step-pop @p198 :rule scope :premises (@p133)) % 15.32/15.59 (step @p134 :rule process_scope :premises (@p198) :args (@t98)) % 15.32/15.59 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 15.32/15.59 (step @p137 :rule implies_elim :premises (@p136)) % 15.32/15.59 (step @p138 :rule eq_resolve :premises (@p137 @p128)) % 15.32/15.59 (step @p139 :rule chain_m_resolution :premises (@p138 @p125) :args (@t92 @t87 (@list @t94))) % 15.32/15.59 (step @p140 :rule cnf_or_pos :args (@t101)) % 15.32/15.59 (step @p141 :rule reordering :premises (@p140) :args ((or @t97 @t100 (not @t101)))) % 15.32/15.59 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p119) :args (@t100 @t102 (@list @t92 @t101))) % 15.32/15.59 (step @p143 :rule cnf_and_pos :args (@t100 1)) % 15.32/15.59 (step @p144 :rule reordering :premises (@p143) :args ((or @t99 (not @t100)))) % 15.32/15.59 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t99 @t96 (@list @t100))) % 15.32/15.59 (step @p146 :rule refl :args (@t103)) % 15.32/15.59 (step @p147 :rule bool-double-not-elim :args (@t89)) % 15.32/15.59 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t99) @t103))) % 15.32/15.59 (step @p149 :rule bool-double-not-elim :args (@t103)) % 15.32/15.59 (step @p150 :rule refl :args (@t99)) % 15.32/15.59 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t99 @t105))) % 15.32/15.59 (assume-push @p199 @t99) % 15.32/15.59 (step @p153 :rule skolemize :premises (@p199)) % 15.32/15.59 (step-pop @p200 :rule scope :premises (@p153)) % 15.32/15.59 (step @p154 :rule process_scope :premises (@p200) :args (@t105)) % 15.32/15.59 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 15.32/15.59 (step @p157 :rule implies_elim :premises (@p156)) % 15.32/15.59 (step @p158 :rule eq_resolve :premises (@p157 @p148)) % 15.32/15.59 (step @p159 :rule chain_m_resolution :premises (@p158 @p145) :args (@t103 @t87 (@list @t89))) % 15.32/15.59 (step @p160 :rule cnf_or_pos :args (@t108)) % 15.32/15.59 (step @p161 :rule reordering :premises (@p160) :args ((or @t104 @t107 (not @t108)))) % 15.32/15.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p118) :args (@t107 @t102 (@list @t103 @t108))) % 15.32/15.59 (step @p163 :rule cnf_and_pos :args (@t109 0)) % 15.32/15.59 (step @p164 :rule reordering :premises (@p163) :args ((or @t106 @t110))) % 15.32/15.59 (step @p165 :rule chain_m_resolution :premises (@p164 @p162) :args (@t110 @t87 (@list @t106))) % 15.32/15.59 (step @p166 :rule cnf_or_pos :args (@t113)) % 15.32/15.59 (step @p167 :rule reordering :premises (@p166) :args ((or @t112 @t109 (not @t113)))) % 15.32/15.59 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p116) :args (@t112 (@list true false) (@list @t109 @t113))) % 15.32/15.59 (step @p169 :rule refl :args (@t115)) % 15.32/15.59 (step @p170 :rule bool-double-not-elim :args (@t111)) % 15.32/15.59 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t112) @t115))) % 15.32/15.59 (step @p172 :rule bool-double-not-elim :args (@t115)) % 15.32/15.59 (step @p173 :rule refl :args (@t112)) % 15.32/15.59 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t112 @t117))) % 15.32/15.59 (assume-push @p201 @t112) % 15.32/15.59 (step @p176 :rule skolemize :premises (@p201)) % 15.32/15.59 (step-pop @p202 :rule scope :premises (@p176)) % 15.32/15.59 (step @p177 :rule process_scope :premises (@p202) :args (@t117)) % 15.32/15.59 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 15.32/15.59 (step @p180 :rule implies_elim :premises (@p179)) % 15.32/15.59 (step @p181 :rule eq_resolve :premises (@p180 @p171)) % 15.32/15.59 (step @p182 :rule chain_m_resolution :premises (@p181 @p168) :args (@t115 @t87 (@list @t111))) % 15.32/15.59 (assume-push @p203 @t77) % 15.32/15.59 (step @p184 :rule instantiate :premises (@p203) :args ((@list @t91 @t114))) % 15.32/15.59 (step-pop @p204 :rule scope :premises (@p184)) % 15.32/15.59 (step @p185 :rule process_scope :premises (@p204) :args (@t116)) % 15.32/15.59 (step @p187 :rule implies_elim :premises (@p185)) % 15.32/15.59 (step @p188 false :rule chain_m_resolution :premises (@p187 @p182 @p114) :args (false @t102 (@list @t115 @t77))) % 15.32/15.59 ) % 15.32/15.59 % SZS output end Proof % 15.32/15.59 % cvc5 exiting %------------------------------------------------------------------------------