%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM845+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:40:48 AM UTC 2026 % Result : Theorem 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM845+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 12:30:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Theorem % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.v1 $$unsorted) % 0.40/0.58 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.vd411 $$unsorted) % 0.40/0.58 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.40/0.58 (define @t1 () (@var "Vd416" $$unsorted)) % 0.40/0.58 (define @t2 () (tptp.vsucc @t1)) % 0.40/0.58 (define @t3 () (tptp.vsucc tptp.vd411)) % 0.40/0.58 (define @t4 () (= (tptp.vmul @t3 @t2) (tptp.vplus (tptp.vmul tptp.vd411 @t2) @t2))) % 0.40/0.58 (define @t5 () (= (tptp.vmul @t3 @t1) (tptp.vplus (tptp.vmul tptp.vd411 @t1) @t1))) % 0.40/0.58 (define @t6 () (@list @t1)) % 0.40/0.58 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.40/0.58 (define @t8 () (not @t7)) % 0.40/0.58 (define @t9 () (@var "Vd413" $$unsorted)) % 0.40/0.58 (define @t10 () (tptp.vsucc @t9)) % 0.40/0.58 (define @t11 () (tptp.vmul tptp.vd411 @t9)) % 0.40/0.58 (define @t12 () (tptp.vplus (tptp.vplus @t11 tptp.vd411) @t10)) % 0.40/0.58 (define @t13 () (= @t12 (tptp.vplus (tptp.vmul tptp.vd411 @t10) @t10))) % 0.40/0.58 (define @t14 () (tptp.vplus @t11 @t9)) % 0.40/0.58 (define @t15 () (tptp.vmul @t3 @t9)) % 0.40/0.58 (define @t16 () (= @t15 @t14)) % 0.40/0.58 (define @t17 () (@list @t9)) % 0.40/0.58 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.40/0.58 (define @t19 () (tptp.vplus @t11 (tptp.vplus tptp.vd411 @t10))) % 0.40/0.58 (define @t20 () (=> @t16 (= @t19 @t12))) % 0.40/0.58 (define @t21 () (forall @t17 @t20)) % 0.40/0.58 (define @t22 () (tptp.vplus @t11 (tptp.vsucc (tptp.vplus tptp.vd411 @t9)))) % 0.40/0.58 (define @t23 () (=> @t16 (= @t22 @t19))) % 0.40/0.58 (define @t24 () (forall @t17 @t23)) % 0.40/0.58 (define @t25 () (tptp.vplus @t11 (tptp.vplus @t3 @t9))) % 0.40/0.58 (define @t26 () (=> @t16 (= @t25 @t22))) % 0.40/0.58 (define @t27 () (forall @t17 @t26)) % 0.40/0.58 (define @t28 () (tptp.vplus @t11 (tptp.vplus @t9 @t3))) % 0.40/0.58 (define @t29 () (=> @t16 (= @t28 @t25))) % 0.40/0.58 (define @t30 () (forall @t17 @t29)) % 0.40/0.58 (define @t31 () (tptp.vplus @t14 @t3)) % 0.40/0.58 (define @t32 () (=> @t16 (= @t31 @t28))) % 0.40/0.58 (define @t33 () (forall @t17 @t32)) % 0.40/0.58 (define @t34 () (tptp.vplus @t15 @t3)) % 0.40/0.58 (define @t35 () (tptp.vmul tptp.vd411 tptp.v1)) % 0.40/0.58 (define @t36 () (@var "Vd396" $$unsorted)) % 0.40/0.58 (define @t37 () (tptp.vmul @t36 tptp.v1)) % 0.40/0.58 (define @t38 () (@var "Vd397" $$unsorted)) % 0.40/0.58 (define @t39 () (= (tptp.vmul @t36 (tptp.vsucc @t38)) (tptp.vplus (tptp.vmul @t36 @t38) @t36))) % 0.40/0.58 (define @t40 () (and @t39 (= @t37 @t36))) % 0.40/0.58 (define @t41 () (@list @t36 @t38)) % 0.40/0.58 (define @t42 () (forall @t41 @t40)) % 0.40/0.58 (define @t43 () (@var "Vd79" $$unsorted)) % 0.40/0.58 (define @t44 () (@var "Vd78" $$unsorted)) % 0.40/0.58 (define @t45 () (@var "Vd59" $$unsorted)) % 0.40/0.58 (define @t46 () (@var "Vd48" $$unsorted)) % 0.40/0.58 (define @t47 () (@var "Vd47" $$unsorted)) % 0.40/0.58 (define @t48 () (@var "Vd46" $$unsorted)) % 0.40/0.58 (define @t49 () (@var "Vd42" $$unsorted)) % 0.40/0.58 (define @t50 () (@var "Vd43" $$unsorted)) % 0.40/0.58 (define @t51 () (@quantifiers_skolemize (forall @t6 (or (not @t5) @t4)) 0)) % 0.40/0.58 (define @t52 () (tptp.vmul tptp.vd411 @t51)) % 0.40/0.58 (define @t53 () (tptp.vplus @t52 @t51)) % 0.40/0.58 (define @t54 () (tptp.vmul @t3 @t51)) % 0.40/0.58 (define @t55 () (= @t54 @t53)) % 0.40/0.58 (define @t56 () (tptp.vsucc @t51)) % 0.40/0.58 (define @t57 () (tptp.vplus (tptp.vmul tptp.vd411 @t56) @t56)) % 0.40/0.58 (define @t58 () (tptp.vmul @t3 @t56)) % 0.40/0.58 (define @t59 () (= @t58 @t57)) % 0.40/0.58 (define @t60 () (not @t55)) % 0.40/0.58 (define @t61 () (or @t60 @t59)) % 0.40/0.58 (define @t62 () (@list true)) % 0.40/0.58 (define @t63 () (@list @t61)) % 0.40/0.58 (define @t64 () (not @t59)) % 0.40/0.58 (define @t65 () (@var "BOUND_VARIABLE_7593" $$unsorted)) % 0.40/0.58 (define @t66 () (= @t65 (tptp.vmul @t65 tptp.v1))) % 0.40/0.58 (define @t67 () (@var "BOUND_VARIABLE_7595" $$unsorted)) % 0.40/0.58 (define @t68 () (forall (@list @t65 @t67) @t66)) % 0.40/0.58 (define @t69 () (@var "BOUND_VARIABLE_7582" $$unsorted)) % 0.40/0.58 (define @t70 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.40/0.58 (define @t71 () (forall (@list @t69 @t70) (= (tptp.vmul @t69 (tptp.vsucc @t70)) (tptp.vplus (tptp.vmul @t69 @t70) @t69)))) % 0.40/0.58 (define @t72 () (= @t36 @t37)) % 0.40/0.58 (define @t73 () (forall @t41 @t72)) % 0.40/0.58 (define @t74 () (@list @t36 @t38)) % 0.40/0.58 (define @t75 () (forall @t41 @t39)) % 0.40/0.58 (define @t76 () (and @t75 @t73)) % 0.40/0.58 (define @t77 () (tptp.vplus (tptp.vplus @t52 tptp.vd411) @t56)) % 0.40/0.58 (define @t78 () (or @t60 (= @t77 @t57))) % 0.40/0.58 (define @t79 () (forall @t17 (or (not @t16) @t13))) % 0.40/0.58 (define @t80 () (@list @t51)) % 0.40/0.58 (define @t81 () (= @t57 @t77)) % 0.40/0.58 (define @t82 () (or @t60 @t81)) % 0.40/0.58 (define @t83 () (@list false false)) % 0.40/0.58 (define @t84 () (= @t12 @t19)) % 0.40/0.58 (define @t85 () (tptp.vplus @t52 (tptp.vplus tptp.vd411 @t56))) % 0.40/0.58 (define @t86 () (= @t77 @t85)) % 0.40/0.58 (define @t87 () (or @t60 @t86)) % 0.40/0.58 (define @t88 () (= @t19 @t22)) % 0.40/0.58 (define @t89 () (tptp.vplus @t52 (tptp.vsucc (tptp.vplus tptp.vd411 @t51)))) % 0.40/0.58 (define @t90 () (= @t85 @t89)) % 0.40/0.58 (define @t91 () (or @t60 @t90)) % 0.40/0.58 (define @t92 () (= @t22 @t25)) % 0.40/0.58 (define @t93 () (tptp.vplus @t52 (tptp.vplus @t3 @t51))) % 0.40/0.58 (define @t94 () (= @t89 @t93)) % 0.40/0.58 (define @t95 () (or @t60 @t94)) % 0.40/0.58 (define @t96 () (= @t25 @t28)) % 0.40/0.58 (define @t97 () (tptp.vplus @t52 (tptp.vplus @t51 @t3))) % 0.40/0.58 (define @t98 () (= @t93 @t97)) % 0.40/0.58 (define @t99 () (or @t60 @t98)) % 0.40/0.58 (define @t100 () (= @t28 @t31)) % 0.40/0.58 (define @t101 () (tptp.vplus @t53 @t3)) % 0.40/0.58 (define @t102 () (= @t97 @t101)) % 0.40/0.58 (define @t103 () (or @t60 @t102)) % 0.40/0.58 (define @t104 () (tptp.vplus @t54 @t3)) % 0.40/0.58 (define @t105 () (= @t58 @t104)) % 0.40/0.58 (define @t106 () (not @t105)) % 0.40/0.58 (define @t107 () (not @t102)) % 0.40/0.58 (define @t108 () (not @t98)) % 0.40/0.58 (define @t109 () (not @t94)) % 0.40/0.58 (define @t110 () (not @t90)) % 0.40/0.58 (define @t111 () (not @t86)) % 0.40/0.58 (define @t112 () (not @t81)) % 0.40/0.58 (define @t113 () (= @t101 @t104)) % 0.40/0.58 (define @t114 () (and @t105 @t113 @t102 @t98 @t94 @t86 @t90 @t81 @t64)) % 0.40/0.58 (assume @p1 @t8) % 0.40/0.58 (assume @p2 @t18) % 0.40/0.58 (assume @p3 @t21) % 0.40/0.58 (assume @p4 @t24) % 0.40/0.58 (assume @p5 @t27) % 0.40/0.58 (assume @p6 @t30) % 0.40/0.58 (assume @p7 @t33) % 0.40/0.58 (assume @p8 (forall @t17 (=> @t16 (= @t34 @t31)))) % 0.40/0.58 (assume @p9 (forall @t17 (=> @t16 (= (tptp.vmul @t3 @t10) @t34)))) % 0.40/0.58 (assume @p10 (= (tptp.vsucc @t35) (tptp.vplus @t35 tptp.v1))) % 0.40/0.58 (assume @p11 @t42) % 0.40/0.58 (assume @p12 (forall (@list @t44 @t43) (= (tptp.vplus @t43 @t44) (tptp.vplus @t44 @t43)))) % 0.40/0.58 (assume @p13 (forall (@list @t45) (= (tptp.vplus tptp.v1 @t45) (tptp.vsucc @t45)))) % 0.40/0.58 (assume @p14 (forall (@list @t48 @t47 @t46) (= (tptp.vplus (tptp.vplus @t48 @t47) @t46) (tptp.vplus @t48 (tptp.vplus @t47 @t46))))) % 0.40/0.58 (assume @p15 (forall (@list @t49 @t50) (and (= (tptp.vplus @t49 (tptp.vsucc @t50)) (tptp.vsucc (tptp.vplus @t49 @t50))) (= (tptp.vplus @t49 tptp.v1) (tptp.vsucc @t49))))) % 0.40/0.58 (assume @p16 true) % 0.40/0.58 (step @p17 :rule bool-impl-elim :args (@t5 @t4)) % 0.40/0.58 (step @p18 :rule cong :premises (@p17) :args (@t7)) % 0.40/0.58 (step @p19 :rule cong :premises (@p18) :args (@t8)) % 0.40/0.58 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.40/0.58 (step @p21 :rule skolemize :premises (@p20)) % 0.40/0.58 (step @p22 :rule bool-double-not-elim :args (@t55)) % 0.40/0.58 (step @p23 :rule refl :args (@t61)) % 0.40/0.58 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t61 (not @t60)))) % 0.40/0.58 (step @p25 :rule cnf_or_neg :args (@t61 0)) % 0.40/0.58 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.40/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t55 @t61))) % 0.40/0.58 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t55 @t62 @t63)) % 0.40/0.58 (step @p29 :rule cnf_or_neg :args (@t61 1)) % 0.40/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p21) :args (@t64 @t62 @t63)) % 0.40/0.58 (step @p31 :rule quant-unused-vars :args ((= @t68 (forall (@list @t65) @t66)))) % 0.40/0.58 (step @p32 :rule refl :args (@t71)) % 0.40/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((and @t71 @t68))) % 0.40/0.58 (step @p34 :rule alpha_equiv :args (@t73 @t74 (@list @t65 @t67))) % 0.40/0.58 (step @p35 :rule alpha_equiv :args (@t75 @t74 (@list @t69 @t70))) % 0.40/0.58 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t76)) % 0.40/0.58 (step @p37 :rule quant-miniscope-and :args ((= (forall @t41 (and @t39 @t72)) @t76))) % 0.40/0.58 (step @p38 :rule trans :premises (@p37 @p36)) % 0.40/0.58 (step @p39 :rule trans :premises (@p38 @p33)) % 0.40/0.58 (step @p40 :rule eq-symm :args (@t37 @t36)) % 0.40/0.58 (step @p41 :rule refl :args (@t39)) % 0.40/0.58 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t40)) % 0.40/0.58 (step @p43 :rule cong :premises (@p42) :args (@t42)) % 0.40/0.58 (step @p44 :rule trans :premises (@p43 @p39)) % 0.40/0.58 (step @p45 :rule eq_resolve :premises (@p11 @p44)) % 0.40/0.58 (step @p46 :rule and_elim :premises (@p45) :args (0)) % 0.40/0.58 (step @p47 :rule instantiate :premises (@p46) :args ((@list @t3 @t51))) % 0.40/0.58 (step @p48 :rule bool-impl-elim :args (@t16 @t13)) % 0.40/0.58 (step @p49 :rule cong :premises (@p48) :args (@t18)) % 0.40/0.58 (step @p50 :rule eq_resolve :premises (@p2 @p49)) % 0.40/0.58 (step @p51 :rule eq-symm :args (@t77 @t57)) % 0.40/0.58 (step @p52 :rule refl :args (@t60)) % 0.40/0.58 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t78)) % 0.40/0.58 (step @p54 :rule refl :args (@t79)) % 0.40/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t79 @t78))) % 0.40/0.58 (assume-push @p193 @t79) % 0.40/0.58 (step @p57 :rule instantiate :premises (@p50) :args (@t80)) % 0.40/0.58 (step-pop @p194 :rule scope :premises (@p57)) % 0.40/0.58 (step @p58 :rule process_scope :premises (@p194) :args (@t78)) % 0.40/0.58 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.40/0.58 (step @p61 :rule implies_elim :premises (@p60)) % 0.40/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p50) :args (@t82 (@list false) (@list @t79))) % 0.40/0.58 (step @p63 :rule cnf_or_pos :args (@t82)) % 0.40/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t60 @t81 (not @t82)))) % 0.40/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p28 @p62) :args (@t81 @t83 (@list @t55 @t82))) % 0.40/0.58 (step @p66 :rule bool-impl-elim :args (@t16 @t84)) % 0.40/0.58 (step @p67 :rule cong :premises (@p66) :args ((forall @t17 (=> @t16 @t84)))) % 0.40/0.58 (step @p68 :rule eq-symm :args (@t19 @t12)) % 0.40/0.58 (step @p69 :rule refl :args (@t16)) % 0.40/0.58 (step @p70 :rule cong :premises (@p69 @p68) :args (@t20)) % 0.40/0.58 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.40/0.58 (step @p72 :rule trans :premises (@p71 @p67)) % 0.40/0.58 (step @p73 :rule eq_resolve :premises (@p3 @p72)) % 0.40/0.58 (step @p74 :rule instantiate :premises (@p73) :args (@t80)) % 0.40/0.58 (step @p75 :rule cnf_or_pos :args (@t87)) % 0.40/0.58 (step @p76 :rule reordering :premises (@p75) :args ((or @t60 @t86 (not @t87)))) % 0.40/0.58 (step @p77 :rule chain_m_resolution :premises (@p76 @p28 @p74) :args (@t86 @t83 (@list @t55 @t87))) % 0.40/0.58 (step @p78 :rule bool-impl-elim :args (@t16 @t88)) % 0.40/0.58 (step @p79 :rule cong :premises (@p78) :args ((forall @t17 (=> @t16 @t88)))) % 0.40/0.58 (step @p80 :rule eq-symm :args (@t22 @t19)) % 0.40/0.58 (step @p81 :rule cong :premises (@p69 @p80) :args (@t23)) % 0.40/0.58 (step @p82 :rule cong :premises (@p81) :args (@t24)) % 0.40/0.58 (step @p83 :rule trans :premises (@p82 @p79)) % 0.40/0.58 (step @p84 :rule eq_resolve :premises (@p4 @p83)) % 0.40/0.58 (step @p85 :rule instantiate :premises (@p84) :args (@t80)) % 0.40/0.58 (step @p86 :rule cnf_or_pos :args (@t91)) % 0.40/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t60 @t90 (not @t91)))) % 0.40/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p28 @p85) :args (@t90 @t83 (@list @t55 @t91))) % 0.40/0.58 (step @p89 :rule bool-impl-elim :args (@t16 @t92)) % 0.40/0.58 (step @p90 :rule cong :premises (@p89) :args ((forall @t17 (=> @t16 @t92)))) % 0.40/0.58 (step @p91 :rule eq-symm :args (@t25 @t22)) % 0.40/0.58 (step @p92 :rule cong :premises (@p69 @p91) :args (@t26)) % 0.40/0.58 (step @p93 :rule cong :premises (@p92) :args (@t27)) % 0.40/0.58 (step @p94 :rule trans :premises (@p93 @p90)) % 0.40/0.58 (step @p95 :rule eq_resolve :premises (@p5 @p94)) % 0.40/0.58 (step @p96 :rule instantiate :premises (@p95) :args (@t80)) % 0.40/0.58 (step @p97 :rule cnf_or_pos :args (@t95)) % 0.40/0.58 (step @p98 :rule reordering :premises (@p97) :args ((or @t60 @t94 (not @t95)))) % 0.40/0.58 (step @p99 :rule chain_m_resolution :premises (@p98 @p28 @p96) :args (@t94 @t83 (@list @t55 @t95))) % 0.40/0.58 (step @p100 :rule bool-impl-elim :args (@t16 @t96)) % 0.40/0.58 (step @p101 :rule cong :premises (@p100) :args ((forall @t17 (=> @t16 @t96)))) % 0.40/0.58 (step @p102 :rule eq-symm :args (@t28 @t25)) % 0.40/0.58 (step @p103 :rule cong :premises (@p69 @p102) :args (@t29)) % 0.40/0.58 (step @p104 :rule cong :premises (@p103) :args (@t30)) % 0.40/0.58 (step @p105 :rule trans :premises (@p104 @p101)) % 0.40/0.58 (step @p106 :rule eq_resolve :premises (@p6 @p105)) % 0.40/0.58 (step @p107 :rule instantiate :premises (@p106) :args (@t80)) % 0.40/0.58 (step @p108 :rule cnf_or_pos :args (@t99)) % 0.40/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t60 @t98 (not @t99)))) % 0.40/0.58 (step @p110 :rule chain_m_resolution :premises (@p109 @p28 @p107) :args (@t98 @t83 (@list @t55 @t99))) % 0.40/0.58 (step @p111 :rule bool-impl-elim :args (@t16 @t100)) % 0.40/0.58 (step @p112 :rule cong :premises (@p111) :args ((forall @t17 (=> @t16 @t100)))) % 0.40/0.58 (step @p113 :rule eq-symm :args (@t31 @t28)) % 0.40/0.58 (step @p114 :rule cong :premises (@p69 @p113) :args (@t32)) % 0.40/0.58 (step @p115 :rule cong :premises (@p114) :args (@t33)) % 0.40/0.58 (step @p116 :rule trans :premises (@p115 @p112)) % 0.40/0.58 (step @p117 :rule eq_resolve :premises (@p7 @p116)) % 0.40/0.58 (step @p118 :rule instantiate :premises (@p117) :args (@t80)) % 0.40/0.58 (step @p119 :rule cnf_or_pos :args (@t103)) % 0.40/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t60 @t102 (not @t103)))) % 0.40/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p28 @p118) :args (@t102 @t83 (@list @t55 @t103))) % 0.40/0.59 (step @p122 :rule refl :args (@t106)) % 0.40/0.59 (step @p123 :rule refl :args (@t107)) % 0.40/0.59 (step @p124 :rule refl :args (@t108)) % 0.40/0.59 (step @p125 :rule refl :args (@t109)) % 0.40/0.59 (step @p126 :rule refl :args (@t110)) % 0.40/0.59 (step @p127 :rule refl :args (@t111)) % 0.40/0.59 (step @p128 :rule refl :args (@t112)) % 0.40/0.59 (step @p129 :rule bool-double-not-elim :args (@t59)) % 0.40/0.59 (step @p130 :rule nary_cong :premises (@p52 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122) :args ((or @t60 (not @t64) @t112 @t111 @t110 @t109 @t108 @t107 @t106))) % 0.40/0.59 (assume-push @p195 @t105) % 0.40/0.59 (assume-push @p196 @t113) % 0.40/0.59 (assume-push @p197 @t102) % 0.40/0.59 (assume-push @p198 @t98) % 0.40/0.59 (assume-push @p199 @t94) % 0.40/0.59 (assume-push @p200 @t86) % 0.40/0.59 (assume-push @p201 @t90) % 0.40/0.59 (assume-push @p202 @t81) % 0.40/0.59 (assume-push @p203 @t64) % 0.40/0.59 (step @p140 :rule evaluate :args ((= false true))) % 0.40/0.59 (step @p141 :rule symm :premises (@p65)) % 0.40/0.59 (step @p142 :rule symm :premises (@p77)) % 0.40/0.59 (step @p143 :rule symm :premises (@p88)) % 0.40/0.59 (step @p144 :rule symm :premises (@p99)) % 0.40/0.59 (step @p145 :rule symm :premises (@p110)) % 0.40/0.59 (step @p146 :rule symm :premises (@p121)) % 0.40/0.59 (step @p147 :rule refl :args (@t3)) % 0.40/0.59 (step @p148 :rule symm :premises (@p28)) % 0.40/0.59 (step @p149 :rule cong :premises (@p148 @p147) :args (@t101)) % 0.40/0.59 (step @p150 :rule symm :premises (@p149)) % 0.40/0.59 (step @p151 :rule trans :premises (@p47 @p150 @p146 @p145 @p144 @p143 @p142 @p141)) % 0.40/0.59 (step @p152 :rule true_intro :premises (@p151)) % 0.40/0.59 (step @p153 :rule false_intro :premises (@p30)) % 0.40/0.59 (step @p154 :rule symm :premises (@p153)) % 0.40/0.59 (step @p155 :rule trans :premises (@p154 @p152)) % 0.40/0.59 (step @p156 false :rule eq_resolve :premises (@p155 @p140)) % 0.40/0.59 (step-pop @p204 :rule scope :premises (@p156)) % 0.40/0.59 (step-pop @p205 :rule scope :premises (@p204)) % 0.40/0.59 (step-pop @p206 :rule scope :premises (@p205)) % 0.40/0.59 (step-pop @p207 :rule scope :premises (@p206)) % 0.40/0.59 (step-pop @p208 :rule scope :premises (@p207)) % 0.40/0.59 (step-pop @p209 :rule scope :premises (@p208)) % 0.40/0.59 (step-pop @p210 :rule scope :premises (@p209)) % 0.40/0.59 (step-pop @p211 :rule scope :premises (@p210)) % 0.40/0.59 (step-pop @p212 :rule scope :premises (@p211)) % 0.40/0.59 (step @p157 :rule process_scope :premises (@p212) :args (false)) % 0.40/0.59 (assume-push @p213 @t55) % 0.40/0.59 (assume-push @p214 @t64) % 0.40/0.59 (assume-push @p215 @t81) % 0.40/0.59 (assume-push @p216 @t86) % 0.40/0.59 (assume-push @p217 @t90) % 0.40/0.59 (assume-push @p218 @t94) % 0.40/0.59 (assume-push @p219 @t98) % 0.40/0.59 (assume-push @p220 @t102) % 0.40/0.59 (assume-push @p221 @t105) % 0.40/0.59 (step @p147 :rule refl :args (@t3)) % 0.40/0.59 (step @p148 :rule symm :premises (@p28)) % 0.40/0.59 (step @p176 :rule cong :premises (@p148 @p147) :args (@t101)) % 0.40/0.59 (step @p177 :rule and_intro :premises (@p47 @p176 @p121 @p110 @p99 @p77 @p88 @p65 @p30)) % 0.40/0.59 (step-pop @p222 :rule scope :premises (@p177)) % 0.40/0.59 (step-pop @p223 :rule scope :premises (@p222)) % 0.40/0.59 (step-pop @p224 :rule scope :premises (@p223)) % 0.40/0.59 (step-pop @p225 :rule scope :premises (@p224)) % 0.40/0.59 (step-pop @p226 :rule scope :premises (@p225)) % 0.40/0.59 (step-pop @p227 :rule scope :premises (@p226)) % 0.40/0.59 (step-pop @p228 :rule scope :premises (@p227)) % 0.40/0.59 (step-pop @p229 :rule scope :premises (@p228)) % 0.40/0.59 (step-pop @p230 :rule scope :premises (@p229)) % 0.40/0.59 (step @p178 :rule process_scope :premises (@p230) :args (@t114)) % 0.40/0.59 (step @p188 :rule implies_elim :premises (@p178)) % 0.40/0.59 (step @p189 :rule resolution :premises (@p188 @p157) :args (true @t114)) % 0.40/0.59 (step @p190 :rule not_and :premises (@p189)) % 0.40/0.59 (step @p191 :rule eq_resolve :premises (@p190 @p130)) % 0.40/0.59 (step @p192 false :rule chain_m_resolution :premises (@p191 @p121 @p110 @p99 @p88 @p77 @p65 @p47 @p30 @p28) :args (false (@list false false false false false false false true false) (@list @t102 @t98 @t94 @t90 @t86 @t81 @t105 @t59 @t55))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------