%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN728+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:09:44 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 : SYN728+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n025.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 23:34:31 EDT 2026 % 0.16/0.34 % 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.q (-> $$unsorted Bool)) % 15.32/15.59 (declare-const tptp.m (-> $$unsorted Bool)) % 15.32/15.59 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 15.32/15.59 (declare-const tptp.p (-> $$unsorted $$unsorted Bool)) % 15.32/15.59 (define @t1 () (@var "U" $$unsorted)) % 15.32/15.59 (define @t2 () (tptp.p @t1 @t1)) % 15.32/15.59 (define @t3 () (@var "V" $$unsorted)) % 15.32/15.59 (define @t4 () (tptp.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" $$unsorted)) % 15.32/15.59 (define @t11 () (not (tptp.m (tptp.g @t10)))) % 15.32/15.59 (define @t12 () (tptp.q @t10)) % 15.32/15.59 (define @t13 () (forall (@list @t10) (=> @t12 @t11))) % 15.32/15.59 (define @t14 () (@var "S" $$unsorted)) % 15.32/15.59 (define @t15 () (@var "R" $$unsorted)) % 15.32/15.59 (define @t16 () (tptp.q (tptp.f @t15 @t14))) % 15.32/15.59 (define @t17 () (tptp.m @t15)) % 15.32/15.59 (define @t18 () (and @t17 @t16)) % 15.32/15.59 (define @t19 () (tptp.p @t15 @t14)) % 15.32/15.59 (define @t20 () (or @t19 @t18)) % 15.32/15.59 (define @t21 () (@list @t14)) % 15.32/15.59 (define @t22 () (exists @t21 @t20)) % 15.32/15.59 (define @t23 () (@list @t15)) % 15.32/15.59 (define @t24 () (forall @t23 @t22)) % 15.32/15.59 (define @t25 () (@var "Z" $$unsorted)) % 15.32/15.59 (define @t26 () (forall (@list @t25) (tptp.p @t25 @t25))) % 15.32/15.59 (define @t27 () (@var "Y" $$unsorted)) % 15.32/15.59 (define @t28 () (@var "X" $$unsorted)) % 15.32/15.59 (define @t29 () (tptp.p @t28 @t27)) % 15.32/15.59 (define @t30 () (@list @t27)) % 15.32/15.59 (define @t31 () (exists @t30 @t29)) % 15.32/15.59 (define @t32 () (=> @t31 @t26)) % 15.32/15.59 (define @t33 () (@list @t28)) % 15.32/15.59 (define @t34 () (forall @t33 @t32)) % 15.32/15.59 (define @t35 () (and @t34 @t24 @t13)) % 15.32/15.59 (define @t36 () (=> @t35 @t9)) % 15.32/15.59 (define @t37 () (not @t36)) % 15.32/15.59 (define @t38 () (@var "BOUND_VARIABLE_7527" $$unsorted)) % 15.32/15.59 (define @t39 () (@list @t38)) % 15.32/15.59 (define @t40 () (not @t26)) % 15.32/15.59 (define @t41 () (forall (@list @t38) (tptp.p @t38 @t38))) % 15.32/15.59 (define @t42 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 15.32/15.59 (define @t43 () (forall (@list @t42) (not (forall @t6 (not (tptp.p (tptp.g @t42) @t3)))))) % 15.32/15.59 (define @t44 () (tptp.g (@quantifiers_skolemize @t43 0))) % 15.32/15.59 (define @t45 () (@list @t44)) % 15.32/15.59 (define @t46 () (tptp.p @t44 @t44)) % 15.32/15.59 (define @t47 () (not @t4)) % 15.32/15.59 (define @t48 () (forall @t6 @t47)) % 15.32/15.59 (define @t49 () (not @t48)) % 15.32/15.59 (define @t50 () (forall @t8 @t49)) % 15.32/15.59 (define @t51 () (@list @t1)) % 15.32/15.59 (define @t52 () (forall @t8 @t2)) % 15.32/15.59 (define @t53 () (and @t52 @t50)) % 15.32/15.59 (define @t54 () (not @t2)) % 15.32/15.59 (define @t55 () (or @t54 @t48)) % 15.32/15.59 (define @t56 () (or @t54 @t47)) % 15.32/15.59 (define @t57 () (or @t47 @t54)) % 15.32/15.59 (define @t58 () (forall @t6 (not @t5))) % 15.32/15.59 (define @t59 () (not @t58)) % 15.32/15.59 (define @t60 () (@var "BOUND_VARIABLE_7489" $$unsorted)) % 15.32/15.59 (define @t61 () (not (tptp.q (tptp.f @t15 @t60)))) % 15.32/15.59 (define @t62 () (@list @t60)) % 15.32/15.59 (define @t63 () (forall @t62 @t61)) % 15.32/15.59 (define @t64 () (not @t63)) % 15.32/15.59 (define @t65 () (not @t17)) % 15.32/15.59 (define @t66 () (@var "BOUND_VARIABLE_7483" $$unsorted)) % 15.32/15.59 (define @t67 () (@list @t66)) % 15.32/15.59 (define @t68 () (forall @t67 (not (tptp.p @t15 @t66)))) % 15.32/15.59 (define @t69 () (not @t68)) % 15.32/15.59 (define @t70 () (or @t65 @t63)) % 15.32/15.59 (define @t71 () (forall @t62 (or @t65 @t61))) % 15.32/15.59 (define @t72 () (or @t65 (not @t16))) % 15.32/15.59 (define @t73 () (forall @t21 @t72)) % 15.32/15.59 (define @t74 () (@list @t14)) % 15.32/15.59 (define @t75 () (not @t19)) % 15.32/15.59 (define @t76 () (forall @t21 @t75)) % 15.32/15.59 (define @t77 () (and @t76 @t73)) % 15.32/15.59 (define @t78 () (forall @t21 (not @t20))) % 15.32/15.59 (define @t79 () (not @t78)) % 15.32/15.59 (define @t80 () (not @t29)) % 15.32/15.59 (define @t81 () (forall (@list @t28 @t27) @t80)) % 15.32/15.59 (define @t82 () (forall @t30 @t80)) % 15.32/15.59 (define @t83 () (forall @t33 @t82)) % 15.32/15.59 (define @t84 () (or @t26 @t83)) % 15.32/15.59 (define @t85 () (or @t26 @t82)) % 15.32/15.59 (define @t86 () (or @t82 @t26)) % 15.32/15.59 (define @t87 () (not @t82)) % 15.32/15.59 (define @t88 () (forall @t6 (not (tptp.p @t44 @t3)))) % 15.32/15.59 (define @t89 () (not @t43)) % 15.32/15.59 (define @t90 () (not (not @t88))) % 15.32/15.59 (define @t91 () (@list true)) % 15.32/15.59 (define @t92 () (@const 0 $$unsorted)) % 15.32/15.59 (define @t93 () (forall @t62 (not (tptp.q (tptp.f @t92 @t60))))) % 15.32/15.59 (define @t94 () (tptp.f @t92 (@quantifiers_skolemize @t93 0))) % 15.32/15.59 (define @t95 () (tptp.g @t94)) % 15.32/15.59 (define @t96 () (forall @t67 (not (tptp.p @t92 @t66)))) % 15.32/15.59 (define @t97 () (@quantifiers_skolemize @t96 0)) % 15.32/15.59 (define @t98 () (tptp.p @t92 @t97)) % 15.32/15.59 (define @t99 () (not @t98)) % 15.32/15.59 (define @t100 () (@list false)) % 15.32/15.59 (define @t101 () (not @t96)) % 15.32/15.59 (define @t102 () (not @t99)) % 15.32/15.59 (define @t103 () (not @t93)) % 15.32/15.59 (define @t104 () (and (tptp.m @t92) @t103)) % 15.32/15.59 (define @t105 () (or @t101 @t104)) % 15.32/15.59 (define @t106 () (@list false false)) % 15.32/15.59 (define @t107 () (tptp.q @t94)) % 15.32/15.59 (define @t108 () (not @t107)) % 15.32/15.59 (define @t109 () (not @t108)) % 15.32/15.59 (define @t110 () (tptp.m @t95)) % 15.32/15.59 (define @t111 () (not @t110)) % 15.32/15.59 (define @t112 () (or @t108 @t111)) % 15.32/15.59 (define @t113 () (and @t110 (not (forall @t62 (not (tptp.q (tptp.f @t95 @t60))))))) % 15.32/15.59 (define @t114 () (not @t113)) % 15.32/15.59 (define @t115 () (forall @t67 (not (tptp.p @t95 @t66)))) % 15.32/15.59 (define @t116 () (not @t115)) % 15.32/15.59 (define @t117 () (or @t116 @t113)) % 15.32/15.59 (define @t118 () (@quantifiers_skolemize @t115 0)) % 15.32/15.59 (define @t119 () (tptp.p @t95 @t118)) % 15.32/15.59 (define @t120 () (not @t119)) % 15.32/15.59 (define @t121 () (not @t120)) % 15.32/15.59 (assume @p1 @t37) % 15.32/15.59 (assume @p2 true) % 15.32/15.59 (step @p3 :rule alpha_equiv :args (@t26 (@list @t25) @t39)) % 15.32/15.59 (step @p4 :rule equiv_elim1 :premises (@p3)) % 15.32/15.59 (step @p5 :rule reordering :premises (@p4) :args ((or @t41 @t40))) % 15.32/15.59 (assume-push @p189 @t26) % 15.32/15.59 (step @p7 :rule instantiate :premises (@p189) :args (@t45)) % 15.32/15.59 (step-pop @p190 :rule scope :premises (@p7)) % 15.32/15.59 (step @p8 :rule process_scope :premises (@p190) :args (@t46)) % 15.32/15.59 (step @p10 :rule implies_elim :premises (@p8)) % 15.32/15.59 (step @p11 :rule alpha_equiv :args (@t50 @t51 (@list @t42))) % 15.32/15.59 (step @p12 :rule alpha_equiv :args (@t52 @t51 @t39)) % 15.32/15.59 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t53)) % 15.32/15.59 (step @p14 :rule quant-miniscope-and :args ((= (forall @t8 (and @t2 @t49)) @t53))) % 15.32/15.59 (step @p15 :rule trans :premises (@p14 @p13)) % 15.32/15.59 (step @p16 :rule refl :args (@t49)) % 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 @t54) @t49))) % 15.32/15.59 (step @p19 :rule bool-or-de-morgan :args (@t54 @t48 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 @t55)))) % 15.32/15.59 (step @p22 :rule trans :premises (@p21 @p15)) % 15.32/15.59 (step @p23 :rule quant-miniscope-or :args ((= (forall @t6 @t56) @t55))) % 15.32/15.59 (step @p24 :rule aci_norm :args ((= @t57 @t56))) % 15.32/15.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t6 @t57))) % 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 (@t58)) % 15.32/15.59 (step @p29 :rule trans :premises (@p28 @p26)) % 15.32/15.59 (step @p30 :rule cong :premises (@p29) :args (@t59)) % 15.32/15.59 (step @p31 :rule exists-elim :args ((= @t7 @t59))) % 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 (@t64)) % 15.32/15.59 (step @p38 :rule bool-double-not-elim :args (@t17)) % 15.32/15.59 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((and (not @t65) @t64))) % 15.32/15.59 (step @p40 :rule bool-or-de-morgan :args (@t65 @t63 false)) % 15.32/15.59 (step @p41 :rule trans :premises (@p40 @p39)) % 15.32/15.59 (step @p42 :rule refl :args (@t69)) % 15.32/15.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t69 (not @t70)))) % 15.32/15.59 (step @p44 :rule bool-and-de-morgan :args (@t68 @t70 true)) % 15.32/15.59 (step @p45 :rule trans :premises (@p44 @p43)) % 15.32/15.59 (step @p46 :rule cong :premises (@p45) :args ((forall @t23 (not (and @t68 @t70))))) % 15.32/15.59 (step @p47 :rule quant-miniscope-or :args ((= @t71 @t70))) % 15.32/15.59 (step @p48 :rule refl :args (@t68)) % 15.32/15.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((and @t68 @t71))) % 15.32/15.59 (step @p50 :rule alpha_equiv :args (@t73 @t74 (@list @t60))) % 15.32/15.59 (step @p51 :rule alpha_equiv :args (@t76 @t74 (@list @t66))) % 15.32/15.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t77)) % 15.32/15.59 (step @p53 :rule quant-miniscope-and :args ((= (forall @t21 (and @t75 @t72)) @t77))) % 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 (@t17 @t16 true)) % 15.32/15.59 (step @p57 :rule refl :args (@t75)) % 15.32/15.59 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((and @t75 (not @t18)))) % 15.32/15.59 (step @p59 :rule bool-or-de-morgan :args (@t19 @t18 false)) % 15.32/15.59 (step @p60 :rule trans :premises (@p59 @p58)) % 15.32/15.59 (step @p61 :rule cong :premises (@p60) :args (@t78)) % 15.32/15.59 (step @p62 :rule trans :premises (@p61 @p55)) % 15.32/15.59 (step @p63 :rule cong :premises (@p62) :args (@t79)) % 15.32/15.59 (step @p64 :rule exists-elim :args ((= @t22 @t79))) % 15.32/15.59 (step @p65 :rule trans :premises (@p64 @p63)) % 15.32/15.59 (step @p66 :rule cong :premises (@p65) :args (@t24)) % 15.32/15.59 (step @p67 :rule trans :premises (@p66 @p46)) % 15.32/15.59 (step @p68 :rule quant-merge-prenex :args ((= @t83 @t81))) % 15.32/15.59 (step @p69 :rule refl :args (@t26)) % 15.32/15.59 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t84)) % 15.32/15.59 (step @p71 :rule quant-miniscope-or :args ((= (forall @t33 @t85) @t84))) % 15.32/15.59 (step @p72 :rule aci_norm :args ((= @t86 @t85))) % 15.32/15.59 (step @p73 :rule cong :premises (@p72) :args ((forall @t33 @t86))) % 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 (@t26)) % 15.32/15.59 (step @p77 :rule bool-double-not-elim :args (@t82)) % 15.32/15.59 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or (not @t87) @t26))) % 15.32/15.59 (step @p79 :rule bool-impl-elim :args (@t87 @t26)) % 15.32/15.59 (step @p80 :rule trans :premises (@p79 @p78)) % 15.32/15.59 (step @p81 :rule cong :premises (@p80) :args ((forall @t33 (=> @t87 @t26)))) % 15.32/15.59 (step @p82 :rule trans :premises (@p81 @p75)) % 15.32/15.59 (step @p83 :rule exists-elim :args ((= @t31 @t87))) % 15.32/15.59 (step @p84 :rule cong :premises (@p83 @p69) :args (@t32)) % 15.32/15.59 (step @p85 :rule cong :premises (@p84) :args (@t34)) % 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 (@t35)) % 15.32/15.59 (step @p88 :rule cong :premises (@p87 @p34) :args (@t36)) % 15.32/15.59 (step @p89 :rule cong :premises (@p88) :args (@t37)) % 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 @t88) % 15.32/15.59 (step @p94 :rule instantiate :premises (@p191) :args (@t45)) % 15.32/15.59 (step-pop @p192 :rule scope :premises (@p94)) % 15.32/15.59 (step @p95 :rule process_scope :premises (@p192) :args ((not @t46))) % 15.32/15.59 (step @p97 :rule implies_elim :premises (@p95)) % 15.32/15.59 (step @p98 :rule refl :args (@t88)) % 15.32/15.59 (step @p99 :rule bool-double-not-elim :args (@t43)) % 15.32/15.59 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t89) @t88))) % 15.32/15.59 (step @p101 :rule bool-double-not-elim :args (@t88)) % 15.32/15.59 (step @p102 :rule refl :args (@t89)) % 15.32/15.59 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t89 @t90))) % 15.32/15.59 (assume-push @p193 @t89) % 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 (@t90)) % 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 (@t40 (@list true true false false) (@list @t88 @t43 @t46 @t41))) % 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 (@t81 @t91 (@list @t26))) % 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 @t95))) % 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 @t94))) % 15.32/15.59 (step @p119 :rule instantiate :premises (@p115) :args ((@list @t92))) % 15.32/15.59 (assume-push @p195 @t81) % 15.32/15.59 (step @p121 :rule instantiate :premises (@p195) :args ((@list @t92 @t97))) % 15.32/15.59 (step-pop @p196 :rule scope :premises (@p121)) % 15.32/15.59 (step @p122 :rule process_scope :premises (@p196) :args (@t99)) % 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 (@t99 @t100 (@list @t81))) % 15.32/15.59 (step @p126 :rule refl :args (@t98)) % 15.32/15.59 (step @p127 :rule bool-double-not-elim :args (@t96)) % 15.32/15.59 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or (not @t101) @t98))) % 15.32/15.59 (step @p129 :rule bool-double-not-elim :args (@t98)) % 15.32/15.59 (step @p130 :rule refl :args (@t101)) % 15.32/15.59 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t101 @t102))) % 15.32/15.59 (assume-push @p197 @t101) % 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 (@t102)) % 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 (@t96 @t91 (@list @t98))) % 15.32/15.59 (step @p140 :rule cnf_or_pos :args (@t105)) % 15.32/15.59 (step @p141 :rule reordering :premises (@p140) :args ((or @t101 @t104 (not @t105)))) % 15.32/15.59 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p119) :args (@t104 @t106 (@list @t96 @t105))) % 15.32/15.59 (step @p143 :rule cnf_and_pos :args (@t104 1)) % 15.32/15.59 (step @p144 :rule reordering :premises (@p143) :args ((or @t103 (not @t104)))) % 15.32/15.59 (step @p145 :rule chain_m_resolution :premises (@p144 @p142) :args (@t103 @t100 (@list @t104))) % 15.32/15.59 (step @p146 :rule refl :args (@t107)) % 15.32/15.59 (step @p147 :rule bool-double-not-elim :args (@t93)) % 15.32/15.59 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t103) @t107))) % 15.32/15.59 (step @p149 :rule bool-double-not-elim :args (@t107)) % 15.32/15.59 (step @p150 :rule refl :args (@t103)) % 15.32/15.59 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t103 @t109))) % 15.32/15.59 (assume-push @p199 @t103) % 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 (@t109)) % 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 (@t107 @t91 (@list @t93))) % 15.32/15.59 (step @p160 :rule cnf_or_pos :args (@t112)) % 15.32/15.59 (step @p161 :rule reordering :premises (@p160) :args ((or @t108 @t111 (not @t112)))) % 15.32/15.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p118) :args (@t111 @t106 (@list @t107 @t112))) % 15.32/15.59 (step @p163 :rule cnf_and_pos :args (@t113 0)) % 15.32/15.59 (step @p164 :rule reordering :premises (@p163) :args ((or @t110 @t114))) % 15.32/15.59 (step @p165 :rule chain_m_resolution :premises (@p164 @p162) :args (@t114 @t91 (@list @t110))) % 15.32/15.59 (step @p166 :rule cnf_or_pos :args (@t117)) % 15.32/15.59 (step @p167 :rule reordering :premises (@p166) :args ((or @t116 @t113 (not @t117)))) % 15.32/15.59 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p116) :args (@t116 (@list true false) (@list @t113 @t117))) % 15.32/15.59 (step @p169 :rule refl :args (@t119)) % 15.32/15.59 (step @p170 :rule bool-double-not-elim :args (@t115)) % 15.32/15.59 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t116) @t119))) % 15.32/15.59 (step @p172 :rule bool-double-not-elim :args (@t119)) % 15.32/15.59 (step @p173 :rule refl :args (@t116)) % 15.32/15.59 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t116 @t121))) % 15.32/15.59 (assume-push @p201 @t116) % 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 (@t121)) % 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 (@t119 @t91 (@list @t115))) % 15.32/15.59 (assume-push @p203 @t81) % 15.32/15.59 (step @p184 :rule instantiate :premises (@p203) :args ((@list @t95 @t118))) % 15.32/15.59 (step-pop @p204 :rule scope :premises (@p184)) % 15.32/15.59 (step @p185 :rule process_scope :premises (@p204) :args (@t120)) % 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 @t106 (@list @t119 @t81))) % 15.32/15.59 ) % 15.32/15.59 % SZS output end Proof % 15.32/15.59 % cvc5 exiting %------------------------------------------------------------------------------