%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP001+6 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:19:33 AM UTC 2026 % Result : Theorem 1.62s 1.88s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP001+6 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 00:38:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.62/1.88 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.88 % SZS status Theorem % 1.62/1.88 % SZS output start Proof % 1.62/1.88 ( % 1.62/1.88 (declare-sort $$unsorted 0) % 1.62/1.88 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.62/1.88 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.88 (define @t1 () (@var "W" $$unsorted)) % 1.62/1.88 (define @t2 () (@var "U" $$unsorted)) % 1.62/1.88 (define @t3 () (@var "V" $$unsorted)) % 1.62/1.88 (define @t4 () (tptp.product @t3 @t2 @t1)) % 1.62/1.88 (define @t5 () (tptp.product @t2 @t3 @t1)) % 1.62/1.88 (define @t6 () (@list @t2 @t3 @t1)) % 1.62/1.88 (define @t7 () (forall @t6 (=> @t5 @t4))) % 1.62/1.88 (define @t8 () (@var "E" $$unsorted)) % 1.62/1.88 (define @t9 () (@var "X" $$unsorted)) % 1.62/1.88 (define @t10 () (@list @t9)) % 1.62/1.88 (define @t11 () (forall @t10 (tptp.product @t9 @t9 @t8))) % 1.62/1.88 (define @t12 () (=> @t11 @t7)) % 1.62/1.88 (define @t13 () (tptp.inverse @t9)) % 1.62/1.88 (define @t14 () (forall @t10 (tptp.product @t13 @t9 @t8))) % 1.62/1.88 (define @t15 () (forall @t10 (tptp.product @t9 @t13 @t8))) % 1.62/1.88 (define @t16 () (forall @t10 (tptp.product @t8 @t9 @t9))) % 1.62/1.88 (define @t17 () (forall @t10 (tptp.product @t9 @t8 @t9))) % 1.62/1.88 (define @t18 () (@var "Z" $$unsorted)) % 1.62/1.88 (define @t19 () (tptp.product @t2 @t18 @t1)) % 1.62/1.88 (define @t20 () (tptp.product @t9 @t3 @t1)) % 1.62/1.88 (define @t21 () (@var "Y" $$unsorted)) % 1.62/1.88 (define @t22 () (tptp.product @t21 @t18 @t3)) % 1.62/1.88 (define @t23 () (tptp.product @t9 @t21 @t2)) % 1.62/1.88 (define @t24 () (and @t23 @t22 @t20)) % 1.62/1.88 (define @t25 () (@list @t9 @t21 @t18 @t2 @t3 @t1)) % 1.62/1.88 (define @t26 () (forall @t25 (=> @t24 @t19))) % 1.62/1.88 (define @t27 () (and @t23 @t22 @t19)) % 1.62/1.88 (define @t28 () (forall @t25 (=> @t27 @t20))) % 1.62/1.88 (define @t29 () (tptp.product @t9 @t21 @t18)) % 1.62/1.88 (define @t30 () (@list @t18)) % 1.62/1.88 (define @t31 () (exists @t30 @t29)) % 1.62/1.88 (define @t32 () (@list @t9 @t21)) % 1.62/1.88 (define @t33 () (forall @t32 @t31)) % 1.62/1.88 (define @t34 () (and @t33 @t28 @t26 @t17 @t16 @t15 @t14)) % 1.62/1.88 (define @t35 () (=> @t34 @t12)) % 1.62/1.88 (define @t36 () (@list @t8)) % 1.62/1.88 (define @t37 () (forall @t36 @t35)) % 1.62/1.88 (define @t38 () (not @t37)) % 1.62/1.88 (define @t39 () (not @t11)) % 1.62/1.88 (define @t40 () (not @t14)) % 1.62/1.88 (define @t41 () (not @t15)) % 1.62/1.88 (define @t42 () (not @t16)) % 1.62/1.88 (define @t43 () (not @t17)) % 1.62/1.88 (define @t44 () (or @t43 @t42 @t41 @t40 @t39)) % 1.62/1.88 (define @t45 () (forall @t36 @t44)) % 1.62/1.88 (define @t46 () (forall @t6 (or (not @t5) @t4))) % 1.62/1.88 (define @t47 () (not @t20)) % 1.62/1.88 (define @t48 () (not @t22)) % 1.62/1.88 (define @t49 () (not @t23)) % 1.62/1.88 (define @t50 () (or @t49 @t48 @t47 @t19)) % 1.62/1.88 (define @t51 () (forall @t25 @t50)) % 1.62/1.88 (define @t52 () (not @t51)) % 1.62/1.88 (define @t53 () (not @t19)) % 1.62/1.88 (define @t54 () (or @t49 @t48 @t53 @t20)) % 1.62/1.88 (define @t55 () (forall @t25 @t54)) % 1.62/1.88 (define @t56 () (not @t55)) % 1.62/1.88 (define @t57 () (not (forall @t30 (not @t29)))) % 1.62/1.88 (define @t58 () (forall @t32 @t57)) % 1.62/1.88 (define @t59 () (not @t58)) % 1.62/1.88 (define @t60 () (or @t59 @t56 @t52 @t46 @t44)) % 1.62/1.88 (define @t61 () (or @t59 @t56 @t52 @t43 @t42 @t41 @t40 @t39 @t46)) % 1.62/1.88 (define @t62 () (or @t59 @t56 @t52 @t43 @t42 @t41 @t40)) % 1.62/1.88 (define @t63 () (=> @t11 @t46)) % 1.62/1.88 (define @t64 () (and @t58 @t55 @t51 @t17 @t16 @t15 @t14)) % 1.62/1.88 (define @t65 () (or @t49 @t48 @t47)) % 1.62/1.88 (define @t66 () (or @t49 @t48 @t53)) % 1.62/1.88 (define @t67 () (@quantifiers_skolemize @t45 0)) % 1.62/1.88 (define @t68 () (forall @t10 (tptp.product @t9 @t9 @t67))) % 1.62/1.88 (define @t69 () (not @t68)) % 1.62/1.88 (define @t70 () (forall @t10 (tptp.product @t13 @t9 @t67))) % 1.62/1.88 (define @t71 () (not @t70)) % 1.62/1.88 (define @t72 () (forall @t10 (tptp.product @t67 @t9 @t9))) % 1.62/1.88 (define @t73 () (not @t72)) % 1.62/1.88 (define @t74 () (forall @t10 (tptp.product @t9 @t67 @t9))) % 1.62/1.88 (define @t75 () (not @t74)) % 1.62/1.88 (define @t76 () (or @t75 @t73 (not (forall @t10 (tptp.product @t9 @t13 @t67))) @t71 @t69)) % 1.62/1.88 (define @t77 () (@list true)) % 1.62/1.88 (define @t78 () (@list @t76)) % 1.62/1.88 (define @t79 () (@quantifiers_skolemize @t46 0)) % 1.62/1.88 (define @t80 () (@quantifiers_skolemize @t46 1)) % 1.62/1.88 (define @t81 () (@quantifiers_skolemize @t46 2)) % 1.62/1.88 (define @t82 () (tptp.inverse @t79)) % 1.62/1.88 (define @t83 () (@list @t80)) % 1.62/1.88 (define @t84 () (@list @t79)) % 1.62/1.88 (define @t85 () (tptp.product @t79 @t80 @t81)) % 1.62/1.88 (define @t86 () (tptp.product @t80 @t79 @t81)) % 1.62/1.88 (define @t87 () (not @t85)) % 1.62/1.88 (define @t88 () (or @t87 @t86)) % 1.62/1.88 (define @t89 () (@list @t88)) % 1.62/1.88 (define @t90 () (tptp.product @t82 @t81 @t80)) % 1.62/1.88 (define @t91 () (tptp.product @t67 @t80 @t80)) % 1.62/1.88 (define @t92 () (not @t91)) % 1.62/1.88 (define @t93 () (tptp.product @t82 @t79 @t67)) % 1.62/1.88 (define @t94 () (not @t93)) % 1.62/1.88 (define @t95 () (or @t94 @t87 @t92 @t90)) % 1.62/1.88 (define @t96 () (@list false false false false)) % 1.62/1.88 (define @t97 () (tptp.product @t81 @t80 @t79)) % 1.62/1.88 (define @t98 () (tptp.product @t79 @t67 @t79)) % 1.62/1.88 (define @t99 () (not @t98)) % 1.62/1.88 (define @t100 () (tptp.product @t80 @t80 @t67)) % 1.62/1.88 (define @t101 () (not @t100)) % 1.62/1.88 (define @t102 () (or @t87 @t101 @t99 @t97)) % 1.62/1.88 (define @t103 () (not @t97)) % 1.62/1.88 (define @t104 () (tptp.product @t80 @t81 @t79)) % 1.62/1.88 (define @t105 () (not @t104)) % 1.62/1.88 (define @t106 () (or @t105 @t103 @t87 @t86)) % 1.62/1.88 (define @t107 () (@list false true false false)) % 1.62/1.88 (define @t108 () (tptp.product @t82 @t67 @t79)) % 1.62/1.88 (define @t109 () (tptp.product @t67 @t79 @t79)) % 1.62/1.88 (define @t110 () (not @t109)) % 1.62/1.88 (define @t111 () (tptp.product @t79 @t79 @t67)) % 1.62/1.88 (define @t112 () (not @t111)) % 1.62/1.88 (define @t113 () (or @t94 @t112 @t110 @t108)) % 1.62/1.88 (define @t114 () (not @t108)) % 1.62/1.88 (define @t115 () (tptp.product @t81 @t81 @t67)) % 1.62/1.88 (define @t116 () (not @t115)) % 1.62/1.88 (define @t117 () (not @t90)) % 1.62/1.88 (define @t118 () (or @t117 @t116 @t114 @t104)) % 1.62/1.88 (assume @p1 @t38) % 1.62/1.88 (assume @p2 true) % 1.62/1.88 (step @p3 :rule quant-miniscope-or :args ((= (forall @t36 @t60) (or @t59 @t56 @t52 @t46 @t45)))) % 1.62/1.88 (step @p4 :rule aci_norm :args ((= @t61 @t60))) % 1.62/1.88 (step @p5 :rule cong :premises (@p4) :args ((forall @t36 @t61))) % 1.62/1.88 (step @p6 :rule trans :premises (@p5 @p3)) % 1.62/1.88 (step @p7 :rule aci_norm :args ((= (or @t62 (or @t39 @t46)) @t61))) % 1.62/1.88 (step @p8 :rule bool-impl-elim :args (@t11 @t46)) % 1.62/1.88 (step @p9 :rule aci_norm :args ((= (or @t59 (or @t56 (or @t52 (or @t43 (or @t42 (or @t41 @t40)))))) @t62))) % 1.62/1.88 (step @p10 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 1.62/1.88 (step @p11 :rule refl :args (@t42)) % 1.62/1.88 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t42 (not (and @t15 @t14))))) % 1.62/1.88 (step @p13 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14))) % 1.62/1.88 (step @p14 :rule trans :premises (@p13 @p12)) % 1.62/1.88 (step @p15 :rule refl :args (@t43)) % 1.62/1.88 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t43 (not (and @t16 @t15 @t14))))) % 1.62/1.88 (step @p17 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15 @t14))) % 1.62/1.88 (step @p18 :rule trans :premises (@p17 @p16)) % 1.62/1.88 (step @p19 :rule refl :args (@t52)) % 1.62/1.88 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t52 (not (and @t17 @t16 @t15 @t14))))) % 1.62/1.88 (step @p21 :rule bool-and-de-morgan :args (@t51 @t17 (and @t16 @t15 @t14))) % 1.62/1.88 (step @p22 :rule trans :premises (@p21 @p20)) % 1.62/1.88 (step @p23 :rule refl :args (@t56)) % 1.62/1.88 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t56 (not (and @t51 @t17 @t16 @t15 @t14))))) % 1.62/1.88 (step @p25 :rule bool-and-de-morgan :args (@t55 @t51 (and @t17 @t16 @t15 @t14))) % 1.62/1.88 (step @p26 :rule trans :premises (@p25 @p24)) % 1.62/1.88 (step @p27 :rule refl :args (@t59)) % 1.62/1.88 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t59 (not (and @t55 @t51 @t17 @t16 @t15 @t14))))) % 1.62/1.88 (step @p29 :rule bool-and-de-morgan :args (@t58 @t55 (and @t51 @t17 @t16 @t15 @t14))) % 1.62/1.88 (step @p30 :rule trans :premises (@p29 @p28)) % 1.62/1.88 (step @p31 :rule trans :premises (@p30 @p9)) % 1.62/1.88 (step @p32 :rule nary_cong :premises (@p31 @p8) :args ((or (not @t64) @t63))) % 1.62/1.88 (step @p33 :rule trans :premises (@p32 @p7)) % 1.62/1.88 (step @p34 :rule bool-impl-elim :args (@t64 @t63)) % 1.62/1.88 (step @p35 :rule trans :premises (@p34 @p33)) % 1.62/1.88 (step @p36 :rule cong :premises (@p35) :args ((forall @t36 (=> @t64 @t63)))) % 1.62/1.88 (step @p37 :rule trans :premises (@p36 @p6)) % 1.62/1.88 (step @p38 :rule bool-impl-elim :args (@t5 @t4)) % 1.62/1.88 (step @p39 :rule cong :premises (@p38) :args (@t7)) % 1.62/1.88 (step @p40 :rule refl :args (@t11)) % 1.62/1.88 (step @p41 :rule cong :premises (@p40 @p39) :args (@t12)) % 1.62/1.88 (step @p42 :rule refl :args (@t14)) % 1.62/1.88 (step @p43 :rule refl :args (@t15)) % 1.62/1.88 (step @p44 :rule refl :args (@t16)) % 1.62/1.88 (step @p45 :rule refl :args (@t17)) % 1.62/1.88 (step @p46 :rule aci_norm :args ((= (or @t65 @t19) @t50))) % 1.62/1.88 (step @p47 :rule refl :args (@t19)) % 1.62/1.88 (step @p48 :rule aci_norm :args ((= (or @t49 (or @t48 @t47)) @t65))) % 1.62/1.88 (step @p49 :rule bool-and-de-morgan :args (@t22 @t20 true)) % 1.62/1.88 (step @p50 :rule refl :args (@t49)) % 1.62/1.88 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t49 (not (and @t22 @t20))))) % 1.62/1.88 (step @p52 :rule bool-and-de-morgan :args (@t23 @t22 (and @t20))) % 1.62/1.88 (step @p53 :rule trans :premises (@p52 @p51)) % 1.62/1.88 (step @p54 :rule trans :premises (@p53 @p48)) % 1.62/1.88 (step @p55 :rule nary_cong :premises (@p54 @p47) :args ((or (not @t24) @t19))) % 1.62/1.88 (step @p56 :rule trans :premises (@p55 @p46)) % 1.62/1.88 (step @p57 :rule bool-impl-elim :args (@t24 @t19)) % 1.62/1.88 (step @p58 :rule trans :premises (@p57 @p56)) % 1.62/1.88 (step @p59 :rule cong :premises (@p58) :args (@t26)) % 1.62/1.88 (step @p60 :rule aci_norm :args ((= (or @t66 @t20) @t54))) % 1.62/1.88 (step @p61 :rule refl :args (@t20)) % 1.62/1.88 (step @p62 :rule aci_norm :args ((= (or @t49 (or @t48 @t53)) @t66))) % 1.62/1.88 (step @p63 :rule bool-and-de-morgan :args (@t22 @t19 true)) % 1.62/1.88 (step @p64 :rule nary_cong :premises (@p50 @p63) :args ((or @t49 (not (and @t22 @t19))))) % 1.62/1.88 (step @p65 :rule bool-and-de-morgan :args (@t23 @t22 (and @t19))) % 1.62/1.88 (step @p66 :rule trans :premises (@p65 @p64)) % 1.62/1.88 (step @p67 :rule trans :premises (@p66 @p62)) % 1.62/1.88 (step @p68 :rule nary_cong :premises (@p67 @p61) :args ((or (not @t27) @t20))) % 1.62/1.88 (step @p69 :rule trans :premises (@p68 @p60)) % 1.62/1.88 (step @p70 :rule bool-impl-elim :args (@t27 @t20)) % 1.62/1.88 (step @p71 :rule trans :premises (@p70 @p69)) % 1.62/1.88 (step @p72 :rule cong :premises (@p71) :args (@t28)) % 1.62/1.88 (step @p73 :rule exists-elim :args ((= @t31 @t57))) % 1.62/1.88 (step @p74 :rule cong :premises (@p73) :args (@t33)) % 1.62/1.88 (step @p75 :rule nary_cong :premises (@p74 @p72 @p59 @p45 @p44 @p43 @p42) :args (@t34)) % 1.62/1.88 (step @p76 :rule cong :premises (@p75 @p41) :args (@t35)) % 1.62/1.88 (step @p77 :rule cong :premises (@p76) :args (@t37)) % 1.62/1.88 (step @p78 :rule trans :premises (@p77 @p37)) % 1.62/1.88 (step @p79 :rule cong :premises (@p78) :args (@t38)) % 1.62/1.88 (step @p80 :rule eq_resolve :premises (@p1 @p79)) % 1.62/1.88 (step @p81 :rule not_or_elim :premises (@p80) :args (4)) % 1.62/1.88 (step @p82 :rule skolemize :premises (@p81)) % 1.62/1.88 (step @p83 :rule bool-double-not-elim :args (@t68)) % 1.62/1.88 (step @p84 :rule refl :args (@t76)) % 1.62/1.88 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t76 (not @t69)))) % 1.62/1.88 (step @p86 :rule cnf_or_neg :args (@t76 4)) % 1.62/1.88 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 1.62/1.88 (step @p88 :rule reordering :premises (@p87) :args ((or @t68 @t76))) % 1.62/1.88 (step @p89 :rule chain_m_resolution :premises (@p88 @p82) :args (@t68 @t77 @t78)) % 1.62/1.88 (step @p90 :rule not_or_elim :premises (@p80) :args (2)) % 1.62/1.88 (step @p91 :rule not_not_elim :premises (@p90)) % 1.62/1.88 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t82 @t81 @t81 @t80 @t67 @t79))) % 1.62/1.88 (step @p93 :rule not_or_elim :premises (@p80) :args (1)) % 1.62/1.88 (step @p94 :rule not_not_elim :premises (@p93)) % 1.62/1.88 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t82 @t79 @t80 @t67 @t81 @t80))) % 1.62/1.88 (step @p96 :rule bool-double-not-elim :args (@t72)) % 1.62/1.88 (step @p97 :rule nary_cong :premises (@p84 @p96) :args ((or @t76 (not @t73)))) % 1.62/1.88 (step @p98 :rule cnf_or_neg :args (@t76 1)) % 1.62/1.88 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 1.62/1.88 (step @p100 :rule reordering :premises (@p99) :args ((or @t72 @t76))) % 1.62/1.88 (step @p101 :rule chain_m_resolution :premises (@p100 @p82) :args (@t72 @t77 @t78)) % 1.62/1.88 (step @p102 :rule instantiate :premises (@p101) :args (@t83)) % 1.62/1.88 (step @p103 :rule bool-double-not-elim :args (@t70)) % 1.62/1.88 (step @p104 :rule nary_cong :premises (@p84 @p103) :args ((or @t76 (not @t71)))) % 1.62/1.88 (step @p105 :rule cnf_or_neg :args (@t76 3)) % 1.62/1.88 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 1.62/1.88 (step @p107 :rule reordering :premises (@p106) :args ((or @t70 @t76))) % 1.62/1.88 (step @p108 :rule chain_m_resolution :premises (@p107 @p82) :args (@t70 @t77 @t78)) % 1.62/1.88 (step @p109 :rule instantiate :premises (@p108) :args (@t84)) % 1.62/1.88 (step @p110 :rule not_or_elim :premises (@p80) :args (3)) % 1.62/1.88 (step @p111 :rule skolemize :premises (@p110)) % 1.62/1.88 (step @p112 :rule bool-double-not-elim :args (@t85)) % 1.62/1.88 (step @p113 :rule refl :args (@t88)) % 1.62/1.88 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t88 (not @t87)))) % 1.62/1.88 (step @p115 :rule cnf_or_neg :args (@t88 0)) % 1.62/1.88 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 1.62/1.88 (step @p117 :rule reordering :premises (@p116) :args ((or @t85 @t88))) % 1.62/1.88 (step @p118 :rule chain_m_resolution :premises (@p117 @p111) :args (@t85 @t77 @t89)) % 1.62/1.88 (step @p119 :rule cnf_or_pos :args (@t95)) % 1.62/1.88 (step @p120 :rule reordering :premises (@p119) :args ((or @t87 @t94 @t92 @t90 (not @t95)))) % 1.62/1.88 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p109 @p102 @p95) :args (@t90 @t96 (@list @t85 @t93 @t91 @t95))) % 1.62/1.88 (step @p122 :rule instantiate :premises (@p94) :args ((@list @t80 @t81 @t80 @t79 @t79 @t81))) % 1.62/1.88 (step @p123 :rule instantiate :premises (@p91) :args ((@list @t79 @t80 @t80 @t81 @t67 @t79))) % 1.62/1.88 (step @p124 :rule instantiate :premises (@p89) :args (@t83)) % 1.62/1.88 (step @p125 :rule bool-double-not-elim :args (@t74)) % 1.62/1.88 (step @p126 :rule nary_cong :premises (@p84 @p125) :args ((or @t76 (not @t75)))) % 1.62/1.88 (step @p127 :rule cnf_or_neg :args (@t76 0)) % 1.62/1.88 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 1.62/1.88 (step @p129 :rule reordering :premises (@p128) :args ((or @t74 @t76))) % 1.62/1.88 (step @p130 :rule chain_m_resolution :premises (@p129 @p82) :args (@t74 @t77 @t78)) % 1.62/1.88 (step @p131 :rule instantiate :premises (@p130) :args (@t84)) % 1.62/1.88 (step @p132 :rule cnf_or_pos :args (@t102)) % 1.62/1.88 (step @p133 :rule reordering :premises (@p132) :args ((or @t87 @t99 @t101 @t97 (not @t102)))) % 1.62/1.88 (step @p134 :rule chain_m_resolution :premises (@p133 @p118 @p131 @p124 @p123) :args (@t97 @t96 (@list @t85 @t98 @t100 @t102))) % 1.62/1.88 (step @p135 :rule cnf_or_neg :args (@t88 1)) % 1.62/1.88 (step @p136 :rule chain_m_resolution :premises (@p135 @p111) :args ((not @t86) @t77 @t89)) % 1.62/1.88 (step @p137 :rule cnf_or_pos :args (@t106)) % 1.62/1.88 (step @p138 :rule reordering :premises (@p137) :args ((or @t87 @t86 @t103 @t105 (not @t106)))) % 1.62/1.88 (step @p139 :rule chain_m_resolution :premises (@p138 @p118 @p136 @p134 @p122) :args (@t105 @t107 (@list @t85 @t86 @t97 @t106))) % 1.62/1.88 (step @p140 :rule instantiate :premises (@p94) :args ((@list @t82 @t79 @t79 @t67 @t67 @t79))) % 1.62/1.88 (step @p141 :rule instantiate :premises (@p89) :args (@t84)) % 1.62/1.88 (step @p142 :rule instantiate :premises (@p101) :args (@t84)) % 1.62/1.88 (step @p143 :rule cnf_or_pos :args (@t113)) % 1.62/1.88 (step @p144 :rule reordering :premises (@p143) :args ((or @t110 @t94 @t112 @t108 (not @t113)))) % 1.62/1.88 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p109 @p141 @p140) :args (@t108 @t96 (@list @t109 @t93 @t111 @t113))) % 1.62/1.88 (step @p146 :rule cnf_or_pos :args (@t118)) % 1.62/1.88 (step @p147 :rule reordering :premises (@p146) :args ((or @t114 @t104 @t117 @t116 (not @t118)))) % 1.62/1.88 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p139 @p121 @p92) :args (@t116 @t107 (@list @t108 @t104 @t90 @t118))) % 1.62/1.88 (assume-push @p155 @t68) % 1.62/1.88 (step @p150 :rule instantiate :premises (@p89) :args ((@list @t81))) % 1.62/1.88 (step-pop @p156 :rule scope :premises (@p150)) % 1.62/1.88 (step @p151 :rule process_scope :premises (@p156) :args (@t115)) % 1.62/1.88 (step @p153 :rule implies_elim :premises (@p151)) % 1.62/1.88 (step @p154 false :rule chain_m_resolution :premises (@p153 @p148 @p89) :args (false (@list true false) (@list @t115 @t68))) % 1.62/1.88 ) % 1.62/1.88 % SZS output end Proof % 1.62/1.88 % cvc5 exiting %------------------------------------------------------------------------------