%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN075-1 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:08:00 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN075-1 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.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 23:20:08 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.b $$unsorted) % 0.37/0.56 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.h (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.a $$unsorted) % 0.37/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t2 () (= @t1 tptp.a)) % 0.37/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t4 () (tptp.big_f @t1 @t3)) % 0.37/0.56 (define @t5 () (not @t4)) % 0.37/0.56 (define @t6 () (or @t5 @t2)) % 0.37/0.56 (define @t7 () (@list @t1 @t3)) % 0.37/0.56 (define @t8 () (forall @t7 @t6)) % 0.37/0.56 (define @t9 () (= @t3 tptp.b)) % 0.37/0.56 (define @t10 () (not @t9)) % 0.37/0.56 (define @t11 () (not @t2)) % 0.37/0.56 (define @t12 () (or @t11 @t10 @t4)) % 0.37/0.56 (define @t13 () (forall @t7 @t12)) % 0.37/0.56 (define @t14 () (tptp.f @t1)) % 0.37/0.56 (define @t15 () (= @t14 @t1)) % 0.37/0.56 (define @t16 () (tptp.g @t1)) % 0.37/0.56 (define @t17 () (= @t3 @t16)) % 0.37/0.56 (define @t18 () (not @t17)) % 0.37/0.56 (define @t19 () (tptp.big_f @t3 @t14)) % 0.37/0.56 (define @t20 () (not @t19)) % 0.37/0.56 (define @t21 () (or @t20 @t18 @t15)) % 0.37/0.56 (define @t22 () (@list @t3 @t1)) % 0.37/0.56 (define @t23 () (forall @t22 @t21)) % 0.37/0.56 (define @t24 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t25 () (tptp.h @t1 @t24)) % 0.37/0.56 (define @t26 () (tptp.big_f @t25 @t14)) % 0.37/0.56 (define @t27 () (not @t26)) % 0.37/0.56 (define @t28 () (@list @t3 @t1 @t24)) % 0.37/0.56 (define @t29 () (or @t18 @t19 @t15)) % 0.37/0.56 (define @t30 () (forall @t22 @t29)) % 0.37/0.56 (define @t31 () (= @t25 @t24)) % 0.37/0.56 (define @t32 () (or @t18 @t19 @t26 @t31)) % 0.37/0.56 (define @t33 () (forall @t28 @t32)) % 0.37/0.56 (define @t34 () (not @t31)) % 0.37/0.56 (define @t35 () (or @t18 @t19 @t34 @t27)) % 0.37/0.56 (define @t36 () (forall @t28 @t35)) % 0.37/0.56 (define @t37 () (not @t15)) % 0.37/0.56 (define @t38 () (or @t37 @t26 @t31)) % 0.37/0.56 (define @t39 () (@list @t1 @t24)) % 0.37/0.56 (define @t40 () (forall @t39 @t38)) % 0.37/0.56 (define @t41 () (or @t37 @t34 @t27)) % 0.37/0.56 (define @t42 () (forall @t39 @t41)) % 0.37/0.56 (define @t43 () (tptp.f tptp.b)) % 0.37/0.56 (define @t44 () (tptp.h tptp.b tptp.a)) % 0.37/0.56 (define @t45 () (= @t1 @t14)) % 0.37/0.56 (define @t46 () (tptp.big_f @t16 @t14)) % 0.37/0.56 (define @t47 () (not @t46)) % 0.37/0.56 (define @t48 () (not (= @t16 @t16))) % 0.37/0.56 (define @t49 () (or @t47 @t48 @t45)) % 0.37/0.56 (define @t50 () (@list @t1)) % 0.37/0.56 (define @t51 () (or @t18 @t20 @t18 @t45)) % 0.37/0.56 (define @t52 () (@list @t3)) % 0.37/0.56 (define @t53 () (or @t20 @t18 @t45)) % 0.37/0.56 (define @t54 () (forall @t52 @t53)) % 0.37/0.56 (define @t55 () (forall @t50 @t54)) % 0.37/0.56 (define @t56 () (forall @t7 @t53)) % 0.37/0.56 (define @t57 () (@list tptp.b)) % 0.37/0.56 (define @t58 () (or @t48 @t46 @t45)) % 0.37/0.56 (define @t59 () (or @t18 @t18 @t19 @t45)) % 0.37/0.56 (define @t60 () (or @t18 @t19 @t45)) % 0.37/0.56 (define @t61 () (forall @t52 @t60)) % 0.37/0.56 (define @t62 () (forall @t50 @t61)) % 0.37/0.56 (define @t63 () (forall @t7 @t60)) % 0.37/0.56 (define @t64 () (= tptp.b @t43)) % 0.37/0.56 (define @t65 () (tptp.big_f (tptp.g tptp.b) @t43)) % 0.37/0.56 (define @t66 () (or @t65 @t64)) % 0.37/0.56 (define @t67 () (= @t24 @t25)) % 0.37/0.56 (define @t68 () (or @t48 @t46 @t26 @t67)) % 0.37/0.56 (define @t69 () (or @t18 @t18 @t19 @t26 @t67)) % 0.37/0.56 (define @t70 () (or @t18 @t19 @t26 @t67)) % 0.37/0.56 (define @t71 () (forall @t52 @t70)) % 0.37/0.56 (define @t72 () (forall @t39 @t71)) % 0.37/0.56 (define @t73 () (@list @t1 @t24 @t3)) % 0.37/0.56 (define @t74 () (forall @t73 @t70)) % 0.37/0.56 (define @t75 () (@list tptp.b tptp.a)) % 0.37/0.56 (define @t76 () (= tptp.a @t44)) % 0.37/0.56 (define @t77 () (tptp.big_f @t44 @t43)) % 0.37/0.56 (define @t78 () (or @t65 @t77 @t76)) % 0.37/0.56 (define @t79 () (not @t77)) % 0.37/0.56 (define @t80 () (or @t79 @t76)) % 0.37/0.56 (define @t81 () (@list false false false)) % 0.37/0.56 (define @t82 () (not @t67)) % 0.37/0.56 (define @t83 () (or @t48 @t46 @t82 @t27)) % 0.37/0.56 (define @t84 () (or @t18 @t18 @t19 @t82 @t27)) % 0.37/0.56 (define @t85 () (or @t18 @t19 @t82 @t27)) % 0.37/0.56 (define @t86 () (forall @t52 @t85)) % 0.37/0.56 (define @t87 () (forall @t39 @t86)) % 0.37/0.56 (define @t88 () (forall @t73 @t85)) % 0.37/0.56 (define @t89 () (not @t76)) % 0.37/0.56 (define @t90 () (or @t65 @t89 @t79)) % 0.37/0.56 (define @t91 () (tptp.big_f tptp.a tptp.b)) % 0.37/0.56 (define @t92 () (not (= tptp.b tptp.b))) % 0.37/0.56 (define @t93 () (or @t92 @t91)) % 0.37/0.56 (define @t94 () (tptp.big_f tptp.a @t3)) % 0.37/0.56 (define @t95 () (or @t10 @t10 @t94)) % 0.37/0.56 (define @t96 () (or @t10 @t94)) % 0.37/0.56 (define @t97 () (not (= tptp.a tptp.a))) % 0.37/0.56 (define @t98 () (or @t97 @t10 @t94)) % 0.37/0.56 (define @t99 () (not (= tptp.a @t1))) % 0.37/0.56 (define @t100 () (or @t99 @t99 @t10 @t4)) % 0.37/0.56 (define @t101 () (or @t99 @t10 @t4)) % 0.37/0.56 (define @t102 () (forall @t50 @t101)) % 0.37/0.56 (define @t103 () (forall @t52 @t102)) % 0.37/0.56 (define @t104 () (forall @t22 @t101)) % 0.37/0.56 (define @t105 () (and @t91 @t64 @t76)) % 0.37/0.56 (define @t106 () (not @t64)) % 0.37/0.56 (define @t107 () (not @t65)) % 0.37/0.56 (define @t108 () (or @t107 @t64)) % 0.37/0.56 (define @t109 () (or @t106 @t77 @t76)) % 0.37/0.56 (define @t110 () (or @t106 @t89 @t79)) % 0.37/0.56 (assume @p1 @t8) % 0.37/0.56 (assume @p2 (forall @t7 (or @t5 @t9))) % 0.37/0.56 (assume @p3 @t13) % 0.37/0.56 (assume @p4 @t23) % 0.37/0.56 (assume @p5 (forall @t28 (or @t20 @t17 @t26 @t27))) % 0.37/0.56 (assume @p6 @t30) % 0.37/0.56 (assume @p7 @t33) % 0.37/0.56 (assume @p8 @t36) % 0.37/0.56 (assume @p9 @t40) % 0.37/0.56 (assume @p10 @t42) % 0.37/0.56 (step @p11 :rule eq-symm :args (@t1 tptp.a)) % 0.37/0.56 (step @p12 :rule refl :args (@t5)) % 0.37/0.56 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t6)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.37/0.56 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.37/0.56 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t44 @t43))) % 0.37/0.56 (step @p17 :rule aci_norm :args ((= (or @t47 false @t45) (or @t47 @t45)))) % 0.37/0.56 (step @p18 :rule refl :args (@t45)) % 0.37/0.56 (step @p19 :rule evaluate :args ((not true))) % 0.37/0.56 (step @p20 :rule eq-refl :args (@t16)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args (@t48)) % 0.37/0.56 (step @p22 :rule trans :premises (@p21 @p19)) % 0.37/0.56 (step @p23 :rule refl :args (@t47)) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22 @p18) :args (@t49)) % 0.37/0.56 (step @p25 :rule trans :premises (@p24 @p17)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t50 @t49))) % 0.37/0.56 (step @p27 :rule quant-var-elim-eq :args ((= (forall @t52 @t51) @t49))) % 0.37/0.56 (step @p28 :rule aci_norm :args ((= @t53 @t51))) % 0.37/0.56 (step @p29 :rule cong :premises (@p28) :args (@t54)) % 0.37/0.56 (step @p30 :rule trans :premises (@p29 @p27)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30) :args (@t55)) % 0.37/0.56 (step @p32 :rule quant-merge-prenex :args ((= @t55 @t56))) % 0.37/0.56 (step @p33 :rule symm :premises (@p32)) % 0.37/0.56 (step @p34 :rule quant_var_reordering :args ((= (forall @t22 @t53) @t56))) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p33 @p31)) % 0.37/0.56 (step @p36 :rule trans :premises (@p35 @p26)) % 0.37/0.56 (step @p37 :rule eq-symm :args (@t14 @t1)) % 0.37/0.56 (step @p38 :rule refl :args (@t18)) % 0.37/0.56 (step @p39 :rule refl :args (@t20)) % 0.37/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t21)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40) :args (@t23)) % 0.37/0.56 (step @p42 :rule trans :premises (@p41 @p36)) % 0.37/0.56 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.37/0.56 (step @p44 :rule instantiate :premises (@p43) :args (@t57)) % 0.37/0.56 (step @p45 :rule aci_norm :args ((= (or false @t46 @t45) (or @t46 @t45)))) % 0.37/0.56 (step @p46 :rule refl :args (@t46)) % 0.37/0.56 (step @p47 :rule nary_cong :premises (@p22 @p46 @p18) :args (@t58)) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p45)) % 0.37/0.56 (step @p49 :rule cong :premises (@p48) :args ((forall @t50 @t58))) % 0.37/0.56 (step @p50 :rule quant-var-elim-eq :args ((= (forall @t52 @t59) @t58))) % 0.37/0.56 (step @p51 :rule aci_norm :args ((= @t60 @t59))) % 0.37/0.56 (step @p52 :rule cong :premises (@p51) :args (@t61)) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p50)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args (@t62)) % 0.37/0.56 (step @p55 :rule quant-merge-prenex :args ((= @t62 @t63))) % 0.37/0.56 (step @p56 :rule symm :premises (@p55)) % 0.37/0.56 (step @p57 :rule quant_var_reordering :args ((= (forall @t22 @t60) @t63))) % 0.37/0.56 (step @p58 :rule trans :premises (@p57 @p56 @p54)) % 0.37/0.56 (step @p59 :rule trans :premises (@p58 @p49)) % 0.37/0.56 (step @p60 :rule refl :args (@t19)) % 0.37/0.56 (step @p61 :rule nary_cong :premises (@p38 @p60 @p37) :args (@t29)) % 0.37/0.56 (step @p62 :rule cong :premises (@p61) :args (@t30)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p59)) % 0.37/0.56 (step @p64 :rule eq_resolve :premises (@p6 @p63)) % 0.37/0.56 (step @p65 :rule instantiate :premises (@p64) :args (@t57)) % 0.37/0.56 (step @p66 :rule cnf_or_pos :args (@t66)) % 0.37/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t65 @t64 (not @t66)))) % 0.37/0.56 (step @p68 :rule aci_norm :args ((= (or false @t46 @t26 @t67) (or @t46 @t26 @t67)))) % 0.37/0.56 (step @p69 :rule refl :args (@t67)) % 0.37/0.56 (step @p70 :rule refl :args (@t26)) % 0.37/0.56 (step @p71 :rule nary_cong :premises (@p22 @p46 @p70 @p69) :args (@t68)) % 0.37/0.56 (step @p72 :rule trans :premises (@p71 @p68)) % 0.37/0.56 (step @p73 :rule cong :premises (@p72) :args ((forall @t39 @t68))) % 0.37/0.56 (step @p74 :rule quant-var-elim-eq :args ((= (forall @t52 @t69) @t68))) % 0.37/0.56 (step @p75 :rule aci_norm :args ((= @t70 @t69))) % 0.37/0.56 (step @p76 :rule cong :premises (@p75) :args (@t71)) % 0.37/0.56 (step @p77 :rule trans :premises (@p76 @p74)) % 0.37/0.56 (step @p78 :rule cong :premises (@p77) :args (@t72)) % 0.37/0.56 (step @p79 :rule quant-merge-prenex :args ((= @t72 @t74))) % 0.37/0.56 (step @p80 :rule symm :premises (@p79)) % 0.37/0.56 (step @p81 :rule quant_var_reordering :args ((= (forall @t28 @t70) @t74))) % 0.37/0.56 (step @p82 :rule trans :premises (@p81 @p80 @p78)) % 0.37/0.56 (step @p83 :rule trans :premises (@p82 @p73)) % 0.37/0.56 (step @p84 :rule eq-symm :args (@t25 @t24)) % 0.37/0.56 (step @p85 :rule nary_cong :premises (@p38 @p60 @p70 @p84) :args (@t32)) % 0.37/0.56 (step @p86 :rule cong :premises (@p85) :args (@t33)) % 0.37/0.56 (step @p87 :rule trans :premises (@p86 @p83)) % 0.37/0.56 (step @p88 :rule eq_resolve :premises (@p7 @p87)) % 0.37/0.56 (step @p89 :rule instantiate :premises (@p88) :args (@t75)) % 0.37/0.56 (step @p90 :rule cnf_or_pos :args (@t78)) % 0.37/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t65 @t77 @t76 (not @t78)))) % 0.37/0.56 (step @p92 :rule cnf_or_pos :args (@t80)) % 0.37/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t76 @t79 (not @t80)))) % 0.37/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p16 @p91 @p89) :args ((or @t65 @t76) @t81 (@list @t80 @t77 @t78))) % 0.37/0.56 (step @p95 :rule aci_norm :args ((= (or false @t46 @t82 @t27) (or @t46 @t82 @t27)))) % 0.37/0.56 (step @p96 :rule refl :args (@t27)) % 0.37/0.56 (step @p97 :rule refl :args (@t82)) % 0.37/0.56 (step @p98 :rule nary_cong :premises (@p22 @p46 @p97 @p96) :args (@t83)) % 0.37/0.56 (step @p99 :rule trans :premises (@p98 @p95)) % 0.37/0.56 (step @p100 :rule cong :premises (@p99) :args ((forall @t39 @t83))) % 0.37/0.56 (step @p101 :rule quant-var-elim-eq :args ((= (forall @t52 @t84) @t83))) % 0.37/0.56 (step @p102 :rule aci_norm :args ((= @t85 @t84))) % 0.37/0.56 (step @p103 :rule cong :premises (@p102) :args (@t86)) % 0.37/0.56 (step @p104 :rule trans :premises (@p103 @p101)) % 0.37/0.56 (step @p105 :rule cong :premises (@p104) :args (@t87)) % 0.37/0.56 (step @p106 :rule quant-merge-prenex :args ((= @t87 @t88))) % 0.37/0.56 (step @p107 :rule symm :premises (@p106)) % 0.37/0.56 (step @p108 :rule quant_var_reordering :args ((= (forall @t28 @t85) @t88))) % 0.37/0.56 (step @p109 :rule trans :premises (@p108 @p107 @p105)) % 0.37/0.56 (step @p110 :rule trans :premises (@p109 @p100)) % 0.37/0.56 (step @p111 :rule cong :premises (@p84) :args (@t34)) % 0.37/0.56 (step @p112 :rule nary_cong :premises (@p38 @p60 @p111 @p96) :args (@t35)) % 0.37/0.56 (step @p113 :rule cong :premises (@p112) :args (@t36)) % 0.37/0.56 (step @p114 :rule trans :premises (@p113 @p110)) % 0.37/0.56 (step @p115 :rule eq_resolve :premises (@p8 @p114)) % 0.37/0.56 (step @p116 :rule instantiate :premises (@p115) :args (@t75)) % 0.37/0.56 (step @p117 :rule cnf_or_pos :args (@t90)) % 0.37/0.56 (step @p118 :rule reordering :premises (@p117) :args ((or @t65 @t89 @t79 (not @t90)))) % 0.37/0.56 (step @p119 :rule aci_norm :args ((= (or false @t91) @t91))) % 0.37/0.56 (step @p120 :rule refl :args (@t91)) % 0.37/0.56 (step @p121 :rule eq-refl :args (tptp.b)) % 0.37/0.56 (step @p122 :rule cong :premises (@p121) :args (@t92)) % 0.37/0.56 (step @p123 :rule trans :premises (@p122 @p19)) % 0.37/0.56 (step @p124 :rule nary_cong :premises (@p123 @p120) :args (@t93)) % 0.37/0.56 (step @p125 :rule trans :premises (@p124 @p119)) % 0.37/0.56 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t52 @t95) @t93))) % 0.37/0.56 (step @p127 :rule aci_norm :args ((= @t96 @t95))) % 0.37/0.56 (step @p128 :rule cong :premises (@p127) :args ((forall @t52 @t96))) % 0.37/0.56 (step @p129 :rule trans :premises (@p128 @p126)) % 0.37/0.56 (step @p130 :rule trans :premises (@p129 @p125)) % 0.37/0.56 (step @p131 :rule aci_norm :args ((= (or false @t10 @t94) @t96))) % 0.37/0.56 (step @p132 :rule refl :args (@t94)) % 0.37/0.56 (step @p133 :rule refl :args (@t10)) % 0.37/0.56 (step @p134 :rule eq-refl :args (tptp.a)) % 0.37/0.56 (step @p135 :rule cong :premises (@p134) :args (@t97)) % 0.37/0.56 (step @p136 :rule trans :premises (@p135 @p19)) % 0.37/0.56 (step @p137 :rule nary_cong :premises (@p136 @p133 @p132) :args (@t98)) % 0.37/0.56 (step @p138 :rule trans :premises (@p137 @p131)) % 0.37/0.56 (step @p139 :rule cong :premises (@p138) :args ((forall @t52 @t98))) % 0.37/0.56 (step @p140 :rule trans :premises (@p139 @p130)) % 0.37/0.56 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t50 (or @t11 @t99 @t10 @t4)) @t98))) % 0.37/0.56 (step @p142 :rule refl :args (@t4)) % 0.37/0.56 (step @p143 :rule refl :args (@t10)) % 0.37/0.56 (step @p144 :rule refl :args (@t99)) % 0.37/0.56 (step @p145 :rule eq-symm :args (tptp.a @t1)) % 0.37/0.56 (step @p146 :rule cong :premises (@p145) :args (@t99)) % 0.37/0.56 (step @p147 :rule nary_cong :premises (@p146 @p144 @p143 @p142) :args (@t100)) % 0.37/0.56 (step @p148 :rule aci_norm :args ((= @t101 @t100))) % 0.37/0.56 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.56 (step @p150 :rule cong :premises (@p149) :args (@t102)) % 0.37/0.56 (step @p151 :rule trans :premises (@p150 @p141)) % 0.37/0.56 (step @p152 :rule cong :premises (@p151) :args (@t103)) % 0.37/0.56 (step @p153 :rule quant-merge-prenex :args ((= @t103 @t104))) % 0.37/0.56 (step @p154 :rule symm :premises (@p153)) % 0.37/0.56 (step @p155 :rule quant_var_reordering :args ((= (forall @t7 @t101) @t104))) % 0.37/0.56 (step @p156 :rule trans :premises (@p155 @p154 @p152)) % 0.37/0.56 (step @p157 :rule trans :premises (@p156 @p140)) % 0.37/0.56 (step @p158 :rule refl :args (@t4)) % 0.37/0.56 (step @p159 :rule cong :premises (@p11) :args (@t11)) % 0.37/0.56 (step @p160 :rule nary_cong :premises (@p159 @p133 @p158) :args (@t12)) % 0.37/0.56 (step @p161 :rule cong :premises (@p160) :args (@t13)) % 0.37/0.56 (step @p162 :rule trans :premises (@p161 @p157)) % 0.37/0.56 (step @p163 :rule eq_resolve :premises (@p3 @p162)) % 0.37/0.56 (assume-push @p210 @t91) % 0.37/0.56 (assume-push @p211 @t64) % 0.37/0.56 (assume-push @p212 @t76) % 0.37/0.56 (assume-push @p213 @t91) % 0.37/0.56 (assume-push @p214 @t76) % 0.37/0.56 (assume-push @p215 @t64) % 0.37/0.56 (step @p170 :rule true_intro :premises (@p163)) % 0.37/0.56 (step @p171 :rule symm :premises (@p211)) % 0.37/0.56 (step @p172 :rule symm :premises (@p212)) % 0.37/0.56 (step @p173 :rule cong :premises (@p172 @p171) :args (@t77)) % 0.37/0.56 (step @p174 :rule trans :premises (@p173 @p170)) % 0.37/0.56 (step @p175 :rule true_elim :premises (@p174)) % 0.37/0.56 (step-pop @p216 :rule scope :premises (@p175)) % 0.37/0.56 (step-pop @p217 :rule scope :premises (@p216)) % 0.37/0.56 (step-pop @p218 :rule scope :premises (@p217)) % 0.37/0.56 (step @p176 :rule process_scope :premises (@p218) :args (@t77)) % 0.37/0.56 (step @p180 :rule and_intro :premises (@p163 @p212 @p211)) % 0.37/0.56 (step @p181 :rule modus_ponens :premises (@p180 @p176)) % 0.37/0.56 (step-pop @p219 :rule scope :premises (@p181)) % 0.37/0.56 (step-pop @p220 :rule scope :premises (@p219)) % 0.37/0.56 (step-pop @p221 :rule scope :premises (@p220)) % 0.37/0.56 (step @p182 :rule process_scope :premises (@p221) :args (@t77)) % 0.37/0.56 (step @p186 :rule implies_elim :premises (@p182)) % 0.37/0.56 (step @p187 :rule cnf_and_neg :args (@t105)) % 0.37/0.56 (step @p188 :rule resolution :premises (@p187 @p186) :args (true @t105)) % 0.37/0.56 (step @p189 :rule reordering :premises (@p188) :args ((or (not @t91) @t106 @t77 @t89))) % 0.37/0.56 (step @p190 :rule chain_m_resolution :premises (@p189 @p163 @p118 @p116 @p94 @p67 @p65) :args (@t65 (@list false true false false false false) (@list @t91 @t77 @t90 @t76 @t64 @t66))) % 0.37/0.56 (step @p191 :rule cnf_or_pos :args (@t108)) % 0.37/0.56 (step @p192 :rule reordering :premises (@p191) :args ((or @t107 @t64 (not @t108)))) % 0.37/0.56 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p44) :args (@t64 (@list false false) (@list @t65 @t108))) % 0.37/0.56 (step @p194 :rule cong :premises (@p37) :args (@t37)) % 0.37/0.56 (step @p195 :rule nary_cong :premises (@p194 @p70 @p84) :args (@t38)) % 0.37/0.56 (step @p196 :rule cong :premises (@p195) :args (@t40)) % 0.37/0.56 (step @p197 :rule eq_resolve :premises (@p9 @p196)) % 0.37/0.56 (step @p198 :rule instantiate :premises (@p197) :args (@t75)) % 0.37/0.56 (step @p199 :rule cnf_or_pos :args (@t109)) % 0.37/0.56 (step @p200 :rule reordering :premises (@p199) :args ((or @t106 @t77 @t76 (not @t109)))) % 0.37/0.56 (step @p201 :rule chain_m_resolution :premises (@p189 @p193 @p163 @p200 @p198 @p193) :args (@t77 (@list false false false false false) (@list @t64 @t91 @t76 @t109 @t64))) % 0.37/0.56 (step @p202 :rule nary_cong :premises (@p194 @p111 @p96) :args (@t41)) % 0.37/0.56 (step @p203 :rule cong :premises (@p202) :args (@t42)) % 0.37/0.56 (step @p204 :rule eq_resolve :premises (@p10 @p203)) % 0.37/0.56 (step @p205 :rule instantiate :premises (@p204) :args (@t75)) % 0.37/0.56 (step @p206 :rule cnf_or_pos :args (@t110)) % 0.37/0.56 (step @p207 :rule reordering :premises (@p206) :args ((or @t106 @t89 @t79 (not @t110)))) % 0.37/0.56 (step @p208 :rule chain_m_resolution :premises (@p207 @p193 @p201 @p205) :args (@t89 @t81 (@list @t64 @t77 @t110))) % 0.37/0.56 (step @p209 false :rule chain_m_resolution :premises (@p93 @p208 @p201 @p16) :args (false (@list true false false) (@list @t76 @t77 @t80))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------