%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM841+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:40:47 AM UTC 2026 % Result : Theorem 0.73s 0.90s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM841+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:28:01 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.73/0.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/0.90 % SZS status Theorem % 0.73/0.90 % SZS output start Proof % 0.73/0.90 ( % 0.73/0.90 (declare-sort $$unsorted 0) % 0.73/0.90 (declare-const tptp.v1 $$unsorted) % 0.73/0.90 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.73/0.90 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.73/0.90 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.73/0.90 (declare-const tptp.vd344 $$unsorted) % 0.73/0.90 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.73/0.90 (declare-const tptp.vd347 $$unsorted) % 0.73/0.90 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.90 (declare-const tptp.vd345 $$unsorted) % 0.73/0.90 (declare-const tptp.vd348 $$unsorted) % 0.73/0.90 (define @t1 () (tptp.vplus tptp.vd345 tptp.vd348)) % 0.73/0.90 (define @t2 () (tptp.vplus tptp.vd344 tptp.vd347)) % 0.73/0.90 (define @t3 () (tptp.greater @t2 @t1)) % 0.73/0.90 (define @t4 () (tptp.vplus tptp.vd348 tptp.vd345)) % 0.73/0.90 (define @t5 () (tptp.vplus tptp.vd347 tptp.vd345)) % 0.73/0.90 (define @t6 () (tptp.greater @t5 @t4)) % 0.73/0.90 (define @t7 () (tptp.vplus tptp.vd345 tptp.vd347)) % 0.73/0.90 (define @t8 () (tptp.greater @t2 @t7)) % 0.73/0.90 (define @t9 () (@var "Vd329" $$unsorted)) % 0.73/0.90 (define @t10 () (@var "Vd328" $$unsorted)) % 0.73/0.90 (define @t11 () (@var "Vd330" $$unsorted)) % 0.73/0.90 (define @t12 () (tptp.vplus @t9 @t11)) % 0.73/0.90 (define @t13 () (tptp.vplus @t10 @t11)) % 0.73/0.90 (define @t14 () (@list @t10 @t9 @t11)) % 0.73/0.90 (define @t15 () (@var "Vd303" $$unsorted)) % 0.73/0.90 (define @t16 () (@var "Vd302" $$unsorted)) % 0.73/0.90 (define @t17 () (tptp.vplus @t16 @t15)) % 0.73/0.90 (define @t18 () (@var "Vd301" $$unsorted)) % 0.73/0.90 (define @t19 () (tptp.vplus @t18 @t15)) % 0.73/0.90 (define @t20 () (@list @t18 @t16 @t15)) % 0.73/0.90 (define @t21 () (@var "Vd295" $$unsorted)) % 0.73/0.90 (define @t22 () (@var "Vd296" $$unsorted)) % 0.73/0.90 (define @t23 () (@var "Vd226" $$unsorted)) % 0.73/0.90 (define @t24 () (@var "Vd227" $$unsorted)) % 0.73/0.90 (define @t25 () (tptp.greater @t24 @t23)) % 0.73/0.90 (define @t26 () (tptp.less @t23 @t24)) % 0.73/0.90 (define @t27 () (forall (@list @t23 @t24) (=> @t26 @t25))) % 0.73/0.90 (define @t28 () (@var "Vd208" $$unsorted)) % 0.73/0.90 (define @t29 () (@var "Vd209" $$unsorted)) % 0.73/0.90 (define @t30 () (tptp.less @t29 @t28)) % 0.73/0.90 (define @t31 () (tptp.greater @t28 @t29)) % 0.73/0.90 (define @t32 () (forall (@list @t28 @t29) (=> @t31 @t30))) % 0.73/0.90 (define @t33 () (@var "Vd204" $$unsorted)) % 0.73/0.90 (define @t34 () (@var "Vd203" $$unsorted)) % 0.73/0.90 (define @t35 () (tptp.less @t34 @t33)) % 0.73/0.90 (define @t36 () (tptp.greater @t34 @t33)) % 0.73/0.90 (define @t37 () (@list @t34 @t33)) % 0.73/0.90 (define @t38 () (@var "Vd196" $$unsorted)) % 0.73/0.90 (define @t39 () (@var "Vd193" $$unsorted)) % 0.73/0.90 (define @t40 () (@var "Vd194" $$unsorted)) % 0.73/0.90 (define @t41 () (= @t40 (tptp.vplus @t39 @t38))) % 0.73/0.90 (define @t42 () (@list @t38)) % 0.73/0.90 (define @t43 () (exists @t42 @t41)) % 0.73/0.90 (define @t44 () (tptp.greater @t40 @t39)) % 0.73/0.90 (define @t45 () (= @t44 @t43)) % 0.73/0.90 (define @t46 () (forall (@list @t39 @t40) @t45)) % 0.73/0.90 (define @t47 () (@var "Vd123" $$unsorted)) % 0.73/0.90 (define @t48 () (@var "Vd121" $$unsorted)) % 0.73/0.90 (define @t49 () (@var "Vd120" $$unsorted)) % 0.73/0.90 (define @t50 () (@var "Vd79" $$unsorted)) % 0.73/0.90 (define @t51 () (@var "Vd78" $$unsorted)) % 0.73/0.90 (define @t52 () (@var "Vd69" $$unsorted)) % 0.73/0.90 (define @t53 () (@var "Vd68" $$unsorted)) % 0.73/0.90 (define @t54 () (@var "Vd59" $$unsorted)) % 0.73/0.90 (define @t55 () (@var "Vd48" $$unsorted)) % 0.73/0.90 (define @t56 () (@var "Vd47" $$unsorted)) % 0.73/0.90 (define @t57 () (@var "Vd46" $$unsorted)) % 0.73/0.90 (define @t58 () (@var "Vd42" $$unsorted)) % 0.73/0.90 (define @t59 () (@var "Vd43" $$unsorted)) % 0.73/0.90 (define @t60 () (@var "Vd24" $$unsorted)) % 0.73/0.90 (define @t61 () (forall @t42 (not (= @t5 (tptp.vplus @t4 @t38))))) % 0.73/0.90 (define @t62 () (not @t61)) % 0.73/0.90 (define @t63 () (= @t6 @t62)) % 0.73/0.90 (define @t64 () (not @t6)) % 0.73/0.90 (define @t65 () (@list false false)) % 0.73/0.90 (define @t66 () (@quantifiers_skolemize @t61 0)) % 0.73/0.90 (define @t67 () (tptp.vplus @t4 @t66)) % 0.73/0.90 (define @t68 () (= @t5 @t67)) % 0.73/0.90 (define @t69 () (not @t68)) % 0.73/0.90 (define @t70 () (not @t69)) % 0.73/0.90 (define @t71 () (@list true)) % 0.73/0.90 (define @t72 () (@list @t2 @t1)) % 0.73/0.90 (define @t73 () (@list @t2 @t7)) % 0.73/0.90 (define @t74 () (tptp.less @t7 @t2)) % 0.73/0.90 (define @t75 () (not @t8)) % 0.73/0.90 (define @t76 () (or @t75 @t74)) % 0.73/0.90 (define @t77 () (tptp.less @t5 @t4)) % 0.73/0.90 (define @t78 () (not @t77)) % 0.73/0.90 (define @t79 () (or @t64 @t78)) % 0.73/0.90 (define @t80 () (= @t2 @t1)) % 0.73/0.90 (define @t81 () (not @t80)) % 0.73/0.90 (define @t82 () (not @t74)) % 0.73/0.90 (define @t83 () (= @t5 @t7)) % 0.73/0.90 (define @t84 () (not @t83)) % 0.73/0.90 (define @t85 () (= @t1 @t4)) % 0.73/0.90 (define @t86 () (not @t85)) % 0.73/0.90 (define @t87 () (and @t74 @t83 @t80 @t85 @t78)) % 0.73/0.90 (define @t88 () (tptp.less @t2 @t1)) % 0.73/0.90 (define @t89 () (or @t80 @t3 @t88)) % 0.73/0.90 (define @t90 () (tptp.greater @t1 @t2)) % 0.73/0.90 (define @t91 () (not @t88)) % 0.73/0.90 (define @t92 () (or @t91 @t90)) % 0.73/0.90 (define @t93 () (tptp.vplus @t2 @t38)) % 0.73/0.90 (define @t94 () (forall @t42 (not (= @t1 @t93)))) % 0.73/0.90 (define @t95 () (not @t94)) % 0.73/0.90 (define @t96 () (= @t90 @t95)) % 0.73/0.90 (define @t97 () (@quantifiers_skolemize @t94 0)) % 0.73/0.90 (define @t98 () (tptp.vplus @t2 @t97)) % 0.73/0.90 (define @t99 () (= @t1 @t98)) % 0.73/0.90 (define @t100 () (not @t99)) % 0.73/0.90 (define @t101 () (not @t100)) % 0.73/0.90 (define @t102 () (tptp.less @t2 @t7)) % 0.73/0.90 (define @t103 () (not @t102)) % 0.73/0.90 (define @t104 () (or @t75 @t103)) % 0.73/0.90 (define @t105 () (tptp.greater @t7 @t2)) % 0.73/0.90 (define @t106 () (not @t105)) % 0.73/0.90 (define @t107 () (or @t106 @t102)) % 0.73/0.90 (define @t108 () (@list true false)) % 0.73/0.90 (define @t109 () (forall @t42 (not (= @t7 @t93)))) % 0.73/0.90 (define @t110 () (not @t109)) % 0.73/0.90 (define @t111 () (= @t105 @t110)) % 0.73/0.90 (define @t112 () (not @t111)) % 0.73/0.90 (define @t113 () (tptp.vplus @t97 @t66)) % 0.73/0.90 (define @t114 () (tptp.vplus @t2 @t113)) % 0.73/0.90 (define @t115 () (= @t7 @t114)) % 0.73/0.90 (define @t116 () (= (tptp.vplus @t98 @t66) @t114)) % 0.73/0.90 (define @t117 () (not @t116)) % 0.73/0.90 (define @t118 () (not @t115)) % 0.73/0.90 (define @t119 () (and @t115 @t118)) % 0.73/0.90 (assume @p1 (not @t3)) % 0.73/0.90 (assume @p2 (= @t4 @t1)) % 0.73/0.90 (assume @p3 @t6) % 0.73/0.90 (assume @p4 (= @t7 @t5)) % 0.73/0.90 (assume @p5 @t8) % 0.73/0.90 (assume @p6 (tptp.greater tptp.vd347 tptp.vd348)) % 0.73/0.90 (assume @p7 (tptp.greater tptp.vd344 tptp.vd345)) % 0.73/0.90 (assume @p8 (forall @t14 (=> (tptp.less @t13 @t12) (tptp.less @t10 @t9)))) % 0.73/0.90 (assume @p9 (forall @t14 (=> (= @t13 @t12) (= @t10 @t9)))) % 0.73/0.90 (assume @p10 (forall @t14 (=> (tptp.greater @t13 @t12) (tptp.greater @t10 @t9)))) % 0.73/0.90 (assume @p11 (forall @t20 (=> (tptp.less @t18 @t16) (tptp.less @t19 @t17)))) % 0.73/0.90 (assume @p12 (forall @t20 (=> (= @t18 @t16) (= @t19 @t17)))) % 0.73/0.90 (assume @p13 (forall @t20 (=> (tptp.greater @t18 @t16) (tptp.greater @t19 @t17)))) % 0.73/0.90 (assume @p14 (forall (@list @t21 @t22) (tptp.greater (tptp.vplus @t21 @t22) @t21))) % 0.73/0.90 (assume @p15 @t27) % 0.73/0.90 (assume @p16 @t32) % 0.73/0.90 (assume @p17 (forall @t37 (or (= @t34 @t33) @t36 @t35))) % 0.73/0.90 (assume @p18 (forall @t37 (or (not @t36) (not @t35)))) % 0.73/0.90 (assume @p19 @t46) % 0.73/0.90 (assume @p20 (forall (@list @t49 @t48) (or (not (= @t49 @t48)) (not (exists (@list @t47) (= @t49 (tptp.vplus @t48 @t47))))))) % 0.73/0.90 (assume @p21 (forall (@list @t51 @t50) (= (tptp.vplus @t50 @t51) (tptp.vplus @t51 @t50)))) % 0.73/0.90 (assume @p22 (forall (@list @t53 @t52) (= (tptp.vplus (tptp.vsucc @t53) @t52) (tptp.vsucc (tptp.vplus @t53 @t52))))) % 0.73/0.90 (assume @p23 (forall (@list @t54) (= (tptp.vplus tptp.v1 @t54) (tptp.vsucc @t54)))) % 0.73/0.90 (assume @p24 (forall (@list @t57 @t56 @t55) (= (tptp.vplus (tptp.vplus @t57 @t56) @t55) (tptp.vplus @t57 (tptp.vplus @t56 @t55))))) % 0.73/0.90 (assume @p25 (forall (@list @t58 @t59) (and (= (tptp.vplus @t58 (tptp.vsucc @t59)) (tptp.vsucc (tptp.vplus @t58 @t59))) (= (tptp.vplus @t58 tptp.v1) (tptp.vsucc @t58))))) % 0.73/0.90 (assume @p26 (forall (@list @t60) (=> (not (= @t60 tptp.v1)) (= @t60 (tptp.vsucc (tptp.vskolem2 @t60)))))) % 0.73/0.90 (assume @p27 true) % 0.73/0.90 (step @p28 :rule symm :premises (@p2)) % 0.73/0.90 (step @p29 :rule symm :premises (@p4)) % 0.73/0.90 (step @p30 :rule exists-elim :args ((= @t43 (not (forall @t42 (not @t41)))))) % 0.73/0.90 (step @p31 :rule refl :args (@t44)) % 0.73/0.90 (step @p32 :rule cong :premises (@p31 @p30) :args (@t45)) % 0.73/0.90 (step @p33 :rule cong :premises (@p32) :args (@t46)) % 0.73/0.90 (step @p34 :rule eq_resolve :premises (@p19 @p33)) % 0.73/0.90 (step @p35 :rule instantiate :premises (@p34) :args ((@list @t4 @t5))) % 0.73/0.90 (step @p36 :rule cnf_equiv_pos1 :args (@t63)) % 0.73/0.90 (step @p37 :rule reordering :premises (@p36) :args ((or @t64 @t62 (not @t63)))) % 0.73/0.90 (step @p38 :rule chain_m_resolution :premises (@p37 @p3 @p35) :args (@t62 @t65 (@list @t6 @t63))) % 0.73/0.90 (step @p39 :rule refl :args (@t68)) % 0.73/0.90 (step @p40 :rule bool-double-not-elim :args (@t61)) % 0.73/0.90 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t62) @t68))) % 0.73/0.90 (step @p42 :rule bool-double-not-elim :args (@t68)) % 0.73/0.90 (step @p43 :rule refl :args (@t62)) % 0.73/0.90 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t62 @t70))) % 0.73/0.90 (assume-push @p208 @t62) % 0.73/0.90 (step @p46 :rule skolemize :premises (@p38)) % 0.73/0.90 (step-pop @p209 :rule scope :premises (@p46)) % 0.73/0.90 (step @p47 :rule process_scope :premises (@p209) :args (@t70)) % 0.73/0.90 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.73/0.90 (step @p50 :rule implies_elim :premises (@p49)) % 0.73/0.90 (step @p51 :rule eq_resolve :premises (@p50 @p41)) % 0.73/0.90 (step @p52 :rule chain_m_resolution :premises (@p51 @p38) :args (@t68 @t71 (@list @t61))) % 0.73/0.90 (step @p53 :rule instantiate :premises (@p34) :args (@t72)) % 0.73/0.90 (step @p54 :rule bool-impl-elim :args (@t26 @t25)) % 0.73/0.90 (step @p55 :rule cong :premises (@p54) :args (@t27)) % 0.73/0.90 (step @p56 :rule eq_resolve :premises (@p15 @p55)) % 0.73/0.90 (step @p57 :rule instantiate :premises (@p56) :args (@t72)) % 0.73/0.90 (step @p58 :rule instantiate :premises (@p17) :args (@t72)) % 0.73/0.90 (step @p59 :rule bool-impl-elim :args (@t31 @t30)) % 0.73/0.90 (step @p60 :rule cong :premises (@p59) :args (@t32)) % 0.73/0.90 (step @p61 :rule eq_resolve :premises (@p16 @p60)) % 0.73/0.90 (step @p62 :rule instantiate :premises (@p61) :args (@t73)) % 0.73/0.90 (step @p63 :rule cnf_or_pos :args (@t76)) % 0.73/0.90 (step @p64 :rule reordering :premises (@p63) :args ((or @t75 @t74 (not @t76)))) % 0.73/0.90 (step @p65 :rule chain_m_resolution :premises (@p64 @p5 @p62) :args (@t74 @t65 (@list @t8 @t76))) % 0.73/0.90 (step @p66 :rule instantiate :premises (@p18) :args ((@list @t5 @t4))) % 0.73/0.90 (step @p67 :rule cnf_or_pos :args (@t79)) % 0.73/0.90 (step @p68 :rule reordering :premises (@p67) :args ((or @t64 @t78 (not @t79)))) % 0.73/0.90 (step @p69 :rule chain_m_resolution :premises (@p68 @p3 @p66) :args (@t78 @t65 (@list @t6 @t79))) % 0.73/0.90 (step @p70 :rule bool-double-not-elim :args (@t77)) % 0.73/0.90 (step @p71 :rule refl :args (@t81)) % 0.73/0.90 (step @p72 :rule refl :args (@t82)) % 0.73/0.90 (step @p73 :rule refl :args (@t84)) % 0.73/0.90 (step @p74 :rule refl :args (@t86)) % 0.73/0.90 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71 @p70) :args ((or @t86 @t84 @t82 @t81 (not @t78)))) % 0.73/0.90 (assume-push @p210 @t74) % 0.73/0.90 (assume-push @p211 @t83) % 0.73/0.90 (assume-push @p212 @t80) % 0.73/0.90 (assume-push @p213 @t85) % 0.73/0.90 (assume-push @p214 @t78) % 0.73/0.90 (step @p81 :rule evaluate :args ((= false true))) % 0.73/0.90 (step @p82 :rule true_intro :premises (@p65)) % 0.73/0.90 (step @p83 :rule symm :premises (@p212)) % 0.73/0.90 (step @p84 :rule trans :premises (@p2 @p83)) % 0.73/0.90 (step @p85 :rule cong :premises (@p29 @p84) :args (@t77)) % 0.73/0.90 (step @p86 :rule false_intro :premises (@p69)) % 0.73/0.90 (step @p87 :rule symm :premises (@p86)) % 0.73/0.90 (step @p88 :rule trans :premises (@p87 @p85 @p82)) % 0.73/0.90 (step @p89 false :rule eq_resolve :premises (@p88 @p81)) % 0.73/0.90 (step-pop @p215 :rule scope :premises (@p89)) % 0.73/0.90 (step-pop @p216 :rule scope :premises (@p215)) % 0.73/0.90 (step-pop @p217 :rule scope :premises (@p216)) % 0.73/0.90 (step-pop @p218 :rule scope :premises (@p217)) % 0.73/0.90 (step-pop @p219 :rule scope :premises (@p218)) % 0.73/0.90 (step @p90 :rule process_scope :premises (@p219) :args (false)) % 0.73/0.90 (assume-push @p220 @t85) % 0.73/0.90 (assume-push @p221 @t83) % 0.73/0.90 (assume-push @p222 @t74) % 0.73/0.90 (assume-push @p223 @t80) % 0.73/0.90 (assume-push @p224 @t78) % 0.73/0.90 (step @p101 :rule and_intro :premises (@p65 @p29 @p223 @p28 @p69)) % 0.73/0.90 (step-pop @p225 :rule scope :premises (@p101)) % 0.73/0.90 (step-pop @p226 :rule scope :premises (@p225)) % 0.73/0.90 (step-pop @p227 :rule scope :premises (@p226)) % 0.73/0.90 (step-pop @p228 :rule scope :premises (@p227)) % 0.73/0.90 (step-pop @p229 :rule scope :premises (@p228)) % 0.73/0.90 (step @p102 :rule process_scope :premises (@p229) :args (@t87)) % 0.73/0.90 (step @p108 :rule implies_elim :premises (@p102)) % 0.73/0.90 (step @p109 :rule resolution :premises (@p108 @p90) :args (true @t87)) % 0.73/0.90 (step @p110 :rule not_and :premises (@p109)) % 0.73/0.90 (step @p111 :rule eq_resolve :premises (@p110 @p75)) % 0.73/0.90 (step @p112 :rule reordering :premises (@p111) :args ((or @t86 @t84 @t77 @t82 @t81))) % 0.73/0.90 (step @p113 :rule chain_m_resolution :premises (@p112 @p28 @p29 @p69 @p65) :args (@t81 (@list false false true false) (@list @t85 @t83 @t77 @t74))) % 0.73/0.90 (step @p114 :rule cnf_or_pos :args (@t89)) % 0.73/0.90 (step @p115 :rule reordering :premises (@p114) :args ((or @t3 @t80 @t88 (not @t89)))) % 0.73/0.90 (step @p116 :rule chain_m_resolution :premises (@p115 @p1 @p113 @p58) :args (@t88 (@list true true false) (@list @t3 @t80 @t89))) % 0.73/0.90 (step @p117 :rule cnf_or_pos :args (@t92)) % 0.73/0.90 (step @p118 :rule reordering :premises (@p117) :args ((or @t91 @t90 (not @t92)))) % 0.73/0.90 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p57) :args (@t90 @t65 (@list @t88 @t92))) % 0.73/0.90 (step @p120 :rule cnf_equiv_pos1 :args (@t96)) % 0.73/0.90 (step @p121 :rule reordering :premises (@p120) :args ((or (not @t90) @t95 (not @t96)))) % 0.73/0.90 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p53) :args (@t95 @t65 (@list @t90 @t96))) % 0.73/0.90 (step @p123 :rule refl :args (@t99)) % 0.73/0.90 (step @p124 :rule bool-double-not-elim :args (@t94)) % 0.73/0.90 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t95) @t99))) % 0.73/0.90 (step @p126 :rule bool-double-not-elim :args (@t99)) % 0.73/0.90 (step @p127 :rule refl :args (@t95)) % 0.73/0.90 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t95 @t101))) % 0.73/0.90 (assume-push @p230 @t95) % 0.73/0.90 (step @p130 :rule skolemize :premises (@p230)) % 0.73/0.90 (step-pop @p231 :rule scope :premises (@p130)) % 0.73/0.90 (step @p131 :rule process_scope :premises (@p231) :args (@t101)) % 0.73/0.90 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 0.73/0.90 (step @p134 :rule implies_elim :premises (@p133)) % 0.73/0.90 (step @p135 :rule eq_resolve :premises (@p134 @p125)) % 0.73/0.90 (step @p136 :rule chain_m_resolution :premises (@p135 @p122) :args (@t99 @t71 (@list @t94))) % 0.73/0.90 (step @p137 :rule instantiate :premises (@p24) :args ((@list @t2 @t97 @t66))) % 0.73/0.90 (step @p138 :rule instantiate :premises (@p34) :args (@t73)) % 0.73/0.90 (step @p139 :rule instantiate :premises (@p61) :args ((@list @t7 @t2))) % 0.73/0.90 (step @p140 :rule instantiate :premises (@p18) :args (@t73)) % 0.73/0.90 (step @p141 :rule cnf_or_pos :args (@t104)) % 0.73/0.90 (step @p142 :rule reordering :premises (@p141) :args ((or @t75 @t103 (not @t104)))) % 0.73/0.90 (step @p143 :rule chain_m_resolution :premises (@p142 @p5 @p140) :args (@t103 @t65 (@list @t8 @t104))) % 0.73/0.90 (step @p144 :rule cnf_or_pos :args (@t107)) % 0.73/0.90 (step @p145 :rule reordering :premises (@p144) :args ((or @t102 @t106 (not @t107)))) % 0.73/0.90 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p139) :args (@t106 @t108 (@list @t102 @t107))) % 0.73/0.90 (step @p147 :rule bool-double-not-elim :args (@t109)) % 0.73/0.90 (step @p148 :rule refl :args (@t105)) % 0.73/0.90 (step @p149 :rule refl :args (@t112)) % 0.73/0.90 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147) :args ((or @t112 @t105 (not @t110)))) % 0.73/0.90 (step @p151 :rule cnf_equiv_pos2 :args (@t111)) % 0.73/0.90 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.73/0.90 (step @p153 :rule reordering :premises (@p152) :args ((or @t105 @t109 @t112))) % 0.73/0.90 (step @p154 :rule chain_m_resolution :premises (@p153 @p146 @p138) :args (@t109 @t108 (@list @t105 @t111))) % 0.73/0.90 (step @p155 :rule instantiate :premises (@p154) :args ((@list @t113))) % 0.73/0.90 (step @p156 :rule bool-double-not-elim :args (@t115)) % 0.73/0.90 (step @p157 :rule refl :args (@t117)) % 0.73/0.90 (step @p158 :rule refl :args (@t100)) % 0.73/0.90 (step @p159 :rule refl :args (@t69)) % 0.73/0.90 (step @p160 :rule nary_cong :premises (@p74 @p73 @p159 @p158 @p157 @p156) :args ((or @t86 @t84 @t69 @t100 @t117 (not @t118)))) % 0.73/0.90 (assume-push @p232 @t115) % 0.73/0.90 (assume-push @p233 @t118) % 0.73/0.90 (step @p163 :rule evaluate :args ((= true false))) % 0.73/0.90 (step @p164 :rule false_intro :premises (@p155)) % 0.73/0.90 (step @p165 :rule true_intro :premises (@p232)) % 0.73/0.90 (step @p166 :rule symm :premises (@p165)) % 0.73/0.90 (step @p167 :rule trans :premises (@p166 @p164)) % 0.73/0.90 (step @p168 false :rule eq_resolve :premises (@p167 @p163)) % 0.73/0.90 (step-pop @p234 :rule scope :premises (@p168)) % 0.73/0.90 (step-pop @p235 :rule scope :premises (@p234)) % 0.73/0.90 (step @p169 :rule process_scope :premises (@p235) :args (false)) % 0.73/0.90 (assume-push @p236 @t85) % 0.73/0.90 (assume-push @p237 @t83) % 0.73/0.90 (assume-push @p238 @t68) % 0.73/0.90 (assume-push @p239 @t99) % 0.73/0.90 (assume-push @p240 @t116) % 0.73/0.90 (assume-push @p241 @t118) % 0.73/0.90 (assume-push @p242 @t116) % 0.73/0.90 (assume-push @p243 @t99) % 0.73/0.90 (assume-push @p244 @t85) % 0.73/0.90 (assume-push @p245 @t68) % 0.73/0.90 (assume-push @p246 @t83) % 0.73/0.90 (step @p183 :rule refl :args (@t66)) % 0.73/0.90 (step @p184 :rule trans :premises (@p2 @p239)) % 0.73/0.90 (step @p185 :rule cong :premises (@p184 @p183) :args (@t67)) % 0.73/0.90 (step @p186 :rule trans :premises (@p4 @p52 @p185 @p137)) % 0.73/0.90 (step-pop @p247 :rule scope :premises (@p186)) % 0.73/0.90 (step-pop @p248 :rule scope :premises (@p247)) % 0.73/0.90 (step-pop @p249 :rule scope :premises (@p248)) % 0.73/0.90 (step-pop @p250 :rule scope :premises (@p249)) % 0.73/0.90 (step-pop @p251 :rule scope :premises (@p250)) % 0.73/0.90 (step @p187 :rule process_scope :premises (@p251) :args (@t115)) % 0.73/0.90 (step @p193 :rule and_intro :premises (@p137 @p239 @p28 @p52 @p29)) % 0.73/0.90 (step @p194 :rule modus_ponens :premises (@p193 @p187)) % 0.73/0.90 (step @p195 :rule and_intro :premises (@p194 @p155)) % 0.73/0.90 (step-pop @p252 :rule scope :premises (@p195)) % 0.73/0.90 (step-pop @p253 :rule scope :premises (@p252)) % 0.73/0.90 (step-pop @p254 :rule scope :premises (@p253)) % 0.73/0.90 (step-pop @p255 :rule scope :premises (@p254)) % 0.73/0.90 (step-pop @p256 :rule scope :premises (@p255)) % 0.73/0.91 (step-pop @p257 :rule scope :premises (@p256)) % 0.73/0.91 (step @p196 :rule process_scope :premises (@p257) :args (@t119)) % 0.73/0.91 (step @p203 :rule implies_elim :premises (@p196)) % 0.73/0.91 (step @p204 :rule resolution :premises (@p203 @p169) :args (true @t119)) % 0.73/0.91 (step @p205 :rule not_and :premises (@p204)) % 0.73/0.91 (step @p206 :rule eq_resolve :premises (@p205 @p160)) % 0.73/0.91 (step @p207 false :rule chain_m_resolution :premises (@p206 @p155 @p137 @p136 @p52 @p29 @p28) :args (false (@list true false false false false false) (@list @t115 @t116 @t99 @t68 @t83 @t85))) % 0.73/0.91 ) % 0.73/0.91 % SZS output end Proof % 0.73/0.91 % cvc5 exiting %------------------------------------------------------------------------------