%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT004-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:09:22 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.67s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.15 % Problem : CAT004-2 : TPTP v9.2.1. Released v1.0.0. % 0.09/0.16 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.39 % Computer : n005.cluster.edu % 0.17/0.39 % Model : x86_64 x86_64 % 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.39 % Memory : 8042.1875MB % 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.39 % CPULimit : 300 % 0.17/0.39 % WCLimit : 300 % 0.17/0.39 % DateTime : Wed Jun 3 02:53:03 EDT 2026 % 0.17/0.39 % CPUTime : % 0.34/0.57 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.67 % SZS status Unsatisfiable % 0.39/0.67 % SZS output start Proof % 0.39/0.68 ( % 0.39/0.68 (declare-sort $$unsorted 0) % 0.39/0.68 (declare-const tptp.g $$unsorted) % 0.39/0.68 (declare-const tptp.h $$unsorted) % 0.39/0.68 (declare-const tptp.b $$unsorted) % 0.39/0.68 (declare-const tptp.a $$unsorted) % 0.39/0.68 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.68 (declare-const tptp.codomain (-> $$unsorted $$unsorted)) % 0.39/0.68 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 0.39/0.68 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.68 (define @t2 () (tptp.domain @t1)) % 0.39/0.68 (define @t3 () (@list @t1)) % 0.39/0.68 (define @t4 () (tptp.codomain @t1)) % 0.39/0.68 (define @t5 () (@var "Y" $$unsorted)) % 0.39/0.68 (define @t6 () (tptp.compose @t1 @t5)) % 0.39/0.68 (define @t7 () (tptp.domain @t6)) % 0.39/0.68 (define @t8 () (not (= @t4 (tptp.domain @t5)))) % 0.39/0.68 (define @t9 () (or @t8 (= @t7 @t2))) % 0.39/0.68 (define @t10 () (@list @t1 @t5)) % 0.39/0.68 (define @t11 () (forall @t10 @t9)) % 0.39/0.68 (define @t12 () (tptp.codomain @t5)) % 0.39/0.68 (define @t13 () (forall @t10 (or @t8 (= (tptp.codomain @t6) @t12)))) % 0.39/0.68 (define @t14 () (@var "Z" $$unsorted)) % 0.39/0.68 (define @t15 () (tptp.domain @t14)) % 0.39/0.68 (define @t16 () (@list @t1 @t5 @t14)) % 0.39/0.68 (define @t17 () (forall @t16 (or @t8 (not (= @t12 @t15)) (= (tptp.compose @t1 (tptp.compose @t5 @t14)) (tptp.compose @t6 @t14))))) % 0.39/0.68 (define @t18 () (= @t1 @t14)) % 0.39/0.68 (define @t19 () (tptp.compose tptp.a @t14)) % 0.39/0.68 (define @t20 () (not (= @t19 @t5))) % 0.39/0.68 (define @t21 () (tptp.codomain tptp.a)) % 0.39/0.68 (define @t22 () (not (= @t21 @t15))) % 0.39/0.68 (define @t23 () (tptp.compose tptp.a @t1)) % 0.39/0.68 (define @t24 () (not (= @t23 @t5))) % 0.39/0.68 (define @t25 () (not (= @t21 @t2))) % 0.39/0.68 (define @t26 () (or @t25 @t24 @t22 @t20 @t18)) % 0.39/0.68 (define @t27 () (forall @t16 @t26)) % 0.39/0.68 (define @t28 () (tptp.compose tptp.b @t14)) % 0.39/0.68 (define @t29 () (not (= @t28 @t5))) % 0.39/0.68 (define @t30 () (tptp.codomain tptp.b)) % 0.39/0.68 (define @t31 () (not (= @t30 @t15))) % 0.39/0.68 (define @t32 () (tptp.compose tptp.b @t1)) % 0.39/0.68 (define @t33 () (not (= @t32 @t5))) % 0.39/0.68 (define @t34 () (not (= @t30 @t2))) % 0.39/0.68 (define @t35 () (or @t34 @t33 @t31 @t29 @t18)) % 0.39/0.68 (define @t36 () (forall @t16 @t35)) % 0.39/0.68 (define @t37 () (tptp.domain tptp.b)) % 0.39/0.68 (define @t38 () (= @t21 @t37)) % 0.39/0.68 (define @t39 () (tptp.domain tptp.h)) % 0.39/0.68 (define @t40 () (tptp.compose tptp.a tptp.b)) % 0.39/0.68 (define @t41 () (tptp.codomain @t40)) % 0.39/0.68 (define @t42 () (tptp.domain tptp.g)) % 0.39/0.68 (define @t43 () (tptp.compose @t40 tptp.g)) % 0.39/0.68 (define @t44 () (tptp.compose @t40 tptp.h)) % 0.39/0.68 (define @t45 () (= tptp.h tptp.g)) % 0.39/0.68 (define @t46 () (not (= @t23 @t19))) % 0.39/0.68 (define @t47 () (not (= @t15 @t21))) % 0.39/0.68 (define @t48 () (not (= @t2 @t21))) % 0.39/0.68 (define @t49 () (or @t48 @t47 @t46 @t18)) % 0.39/0.68 (define @t50 () (not (= @t23 @t23))) % 0.39/0.68 (define @t51 () (or @t48 @t50 @t47 @t46 @t18)) % 0.39/0.68 (define @t52 () (@list @t1 @t14)) % 0.39/0.68 (define @t53 () (not (= @t5 @t19))) % 0.39/0.68 (define @t54 () (not (= @t5 @t23))) % 0.39/0.68 (define @t55 () (or @t54 @t48 @t54 @t47 @t53 @t18)) % 0.39/0.68 (define @t56 () (@list @t5)) % 0.39/0.68 (define @t57 () (or @t48 @t54 @t47 @t53 @t18)) % 0.39/0.68 (define @t58 () (forall @t56 @t57)) % 0.39/0.68 (define @t59 () (forall @t52 @t58)) % 0.39/0.68 (define @t60 () (@list @t1 @t14 @t5)) % 0.39/0.68 (define @t61 () (forall @t60 @t57)) % 0.39/0.68 (define @t62 () (tptp.compose tptp.b tptp.h)) % 0.39/0.68 (define @t63 () (tptp.compose tptp.b tptp.g)) % 0.39/0.68 (define @t64 () (= @t63 @t62)) % 0.39/0.68 (define @t65 () (tptp.compose tptp.a @t62)) % 0.39/0.68 (define @t66 () (tptp.compose tptp.a @t63)) % 0.39/0.68 (define @t67 () (not (= @t66 @t65))) % 0.39/0.68 (define @t68 () (tptp.domain @t62)) % 0.39/0.68 (define @t69 () (not (= @t68 @t21))) % 0.39/0.68 (define @t70 () (tptp.domain @t63)) % 0.39/0.68 (define @t71 () (not (= @t70 @t21))) % 0.39/0.68 (define @t72 () (or @t71 @t69 @t67 @t64)) % 0.39/0.68 (define @t73 () (forall @t52 @t49)) % 0.39/0.68 (define @t74 () (= @t21 @t68)) % 0.39/0.68 (define @t75 () (not @t74)) % 0.39/0.68 (define @t76 () (= @t21 @t70)) % 0.39/0.68 (define @t77 () (not @t76)) % 0.39/0.68 (define @t78 () (or @t77 @t75 @t67 @t64)) % 0.39/0.68 (define @t79 () (@list false)) % 0.39/0.68 (define @t80 () (not (= @t32 @t28))) % 0.39/0.68 (define @t81 () (not (= @t15 @t30))) % 0.39/0.68 (define @t82 () (not (= @t2 @t30))) % 0.39/0.68 (define @t83 () (or @t82 @t81 @t80 @t18)) % 0.39/0.68 (define @t84 () (not (= @t32 @t32))) % 0.39/0.68 (define @t85 () (or @t82 @t84 @t81 @t80 @t18)) % 0.39/0.68 (define @t86 () (not (= @t5 @t28))) % 0.39/0.68 (define @t87 () (not (= @t5 @t32))) % 0.39/0.68 (define @t88 () (or @t87 @t82 @t87 @t81 @t86 @t18)) % 0.39/0.68 (define @t89 () (or @t82 @t87 @t81 @t86 @t18)) % 0.39/0.68 (define @t90 () (forall @t56 @t89)) % 0.39/0.68 (define @t91 () (forall @t52 @t90)) % 0.39/0.68 (define @t92 () (forall @t60 @t89)) % 0.39/0.68 (define @t93 () (not (= @t62 @t63))) % 0.39/0.68 (define @t94 () (not (= @t42 @t30))) % 0.39/0.68 (define @t95 () (not (= @t39 @t30))) % 0.39/0.68 (define @t96 () (or @t95 @t94 @t93 @t45)) % 0.39/0.68 (define @t97 () (forall @t52 @t83)) % 0.39/0.68 (define @t98 () (not @t64)) % 0.39/0.68 (define @t99 () (= @t30 @t42)) % 0.39/0.68 (define @t100 () (not @t99)) % 0.39/0.68 (define @t101 () (= @t30 @t39)) % 0.39/0.68 (define @t102 () (not @t101)) % 0.39/0.68 (define @t103 () (or @t102 @t100 @t98 @t45)) % 0.39/0.68 (define @t104 () (not @t38)) % 0.39/0.68 (define @t105 () (or @t104 (= @t41 @t30))) % 0.39/0.68 (define @t106 () (= @t30 @t41)) % 0.39/0.68 (define @t107 () (or @t104 @t106)) % 0.39/0.68 (define @t108 () (@list false false)) % 0.39/0.68 (define @t109 () (= @t37 @t68)) % 0.39/0.68 (define @t110 () (or @t102 @t109)) % 0.39/0.68 (define @t111 () (= @t37 @t70)) % 0.39/0.68 (define @t112 () (or @t100 @t111)) % 0.39/0.68 (define @t113 () (or @t104 @t102 (= @t65 @t44))) % 0.39/0.68 (define @t114 () (= @t44 @t65)) % 0.39/0.68 (define @t115 () (or @t104 @t102 @t114)) % 0.39/0.68 (define @t116 () (@list @t17)) % 0.39/0.68 (define @t117 () (@list false false false)) % 0.39/0.68 (define @t118 () (or @t104 @t100 (= @t66 @t43))) % 0.39/0.68 (define @t119 () (= @t43 @t66)) % 0.39/0.68 (define @t120 () (or @t104 @t100 @t119)) % 0.39/0.68 (assume @p1 (forall @t3 (= (tptp.codomain @t2) @t2))) % 0.39/0.68 (assume @p2 (forall @t3 (= (tptp.domain @t4) @t4))) % 0.39/0.68 (assume @p3 (forall @t3 (= (tptp.compose @t2 @t1) @t1))) % 0.39/0.68 (assume @p4 (forall @t3 (= (tptp.compose @t1 @t4) @t1))) % 0.39/0.68 (assume @p5 @t11) % 0.39/0.68 (assume @p6 @t13) % 0.39/0.68 (assume @p7 @t17) % 0.39/0.68 (assume @p8 @t27) % 0.39/0.68 (assume @p9 @t36) % 0.39/0.68 (assume @p10 @t38) % 0.39/0.68 (assume @p11 (= @t41 @t39)) % 0.39/0.68 (assume @p12 (= @t41 @t42)) % 0.39/0.68 (assume @p13 (= @t44 @t43)) % 0.39/0.68 (assume @p14 (not @t45)) % 0.39/0.68 (step @p15 :rule evaluate :args ((= true false))) % 0.39/0.68 (step @p16 :rule aci_norm :args ((= (or @t48 false @t47 @t46 @t18) @t49))) % 0.39/0.68 (step @p17 :rule refl :args (@t18)) % 0.39/0.68 (step @p18 :rule refl :args (@t46)) % 0.39/0.68 (step @p19 :rule refl :args (@t47)) % 0.39/0.68 (step @p20 :rule evaluate :args ((not true))) % 0.39/0.68 (step @p21 :rule eq-refl :args (@t23)) % 0.39/0.68 (step @p22 :rule cong :premises (@p21) :args (@t50)) % 0.39/0.68 (step @p23 :rule trans :premises (@p22 @p20)) % 0.39/0.68 (step @p24 :rule refl :args (@t48)) % 0.39/0.68 (step @p25 :rule nary_cong :premises (@p24 @p23 @p19 @p18 @p17) :args (@t51)) % 0.39/0.68 (step @p26 :rule trans :premises (@p25 @p16)) % 0.39/0.68 (step @p27 :rule cong :premises (@p26) :args ((forall @t52 @t51))) % 0.39/0.68 (step @p28 :rule quant-var-elim-eq :args ((= (forall @t56 @t55) @t51))) % 0.39/0.68 (step @p29 :rule aci_norm :args ((= @t57 @t55))) % 0.39/0.68 (step @p30 :rule cong :premises (@p29) :args (@t58)) % 0.39/0.68 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.68 (step @p32 :rule cong :premises (@p31) :args (@t59)) % 0.39/0.68 (step @p33 :rule quant-merge-prenex :args ((= @t59 @t61))) % 0.39/0.68 (step @p34 :rule symm :premises (@p33)) % 0.39/0.68 (step @p35 :rule quant_var_reordering :args ((= (forall @t16 @t57) @t61))) % 0.39/0.68 (step @p36 :rule trans :premises (@p35 @p34 @p32)) % 0.39/0.68 (step @p37 :rule trans :premises (@p36 @p27)) % 0.39/0.68 (step @p38 :rule eq-symm :args (@t19 @t5)) % 0.39/0.68 (step @p39 :rule cong :premises (@p38) :args (@t20)) % 0.39/0.68 (step @p40 :rule eq-symm :args (@t21 @t15)) % 0.39/0.68 (step @p41 :rule cong :premises (@p40) :args (@t22)) % 0.39/0.68 (step @p42 :rule eq-symm :args (@t23 @t5)) % 0.39/0.68 (step @p43 :rule cong :premises (@p42) :args (@t24)) % 0.39/0.68 (step @p44 :rule eq-symm :args (@t21 @t2)) % 0.39/0.68 (step @p45 :rule cong :premises (@p44) :args (@t25)) % 0.39/0.68 (step @p46 :rule nary_cong :premises (@p45 @p43 @p41 @p39 @p17) :args (@t26)) % 0.39/0.68 (step @p47 :rule cong :premises (@p46) :args (@t27)) % 0.39/0.68 (step @p48 :rule trans :premises (@p47 @p37)) % 0.39/0.68 (step @p49 :rule eq_resolve :premises (@p8 @p48)) % 0.39/0.68 (step @p50 :rule refl :args (@t64)) % 0.39/0.68 (step @p51 :rule refl :args (@t67)) % 0.39/0.68 (step @p52 :rule eq-symm :args (@t68 @t21)) % 0.39/0.68 (step @p53 :rule cong :premises (@p52) :args (@t69)) % 0.39/0.68 (step @p54 :rule eq-symm :args (@t70 @t21)) % 0.39/0.68 (step @p55 :rule cong :premises (@p54) :args (@t71)) % 0.39/0.68 (step @p56 :rule nary_cong :premises (@p55 @p53 @p51 @p50) :args (@t72)) % 0.39/0.68 (step @p57 :rule refl :args (@t73)) % 0.39/0.68 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t73 @t72))) % 0.39/0.68 (assume-push @p192 @t73) % 0.39/0.68 (step @p60 :rule instantiate :premises (@p49) :args ((@list @t63 @t62))) % 0.39/0.68 (step-pop @p193 :rule scope :premises (@p60)) % 0.39/0.68 (step @p61 :rule process_scope :premises (@p193) :args (@t72)) % 0.39/0.68 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.39/0.68 (step @p64 :rule implies_elim :premises (@p63)) % 0.39/0.68 (step @p65 :rule chain_m_resolution :premises (@p64 @p49) :args (@t78 @t79 (@list @t73))) % 0.39/0.68 (step @p66 :rule aci_norm :args ((= (or @t82 false @t81 @t80 @t18) @t83))) % 0.39/0.68 (step @p67 :rule refl :args (@t80)) % 0.39/0.68 (step @p68 :rule refl :args (@t81)) % 0.39/0.68 (step @p69 :rule eq-refl :args (@t32)) % 0.39/0.68 (step @p70 :rule cong :premises (@p69) :args (@t84)) % 0.39/0.68 (step @p71 :rule trans :premises (@p70 @p20)) % 0.39/0.68 (step @p72 :rule refl :args (@t82)) % 0.39/0.68 (step @p73 :rule nary_cong :premises (@p72 @p71 @p68 @p67 @p17) :args (@t85)) % 0.39/0.68 (step @p74 :rule trans :premises (@p73 @p66)) % 0.39/0.68 (step @p75 :rule cong :premises (@p74) :args ((forall @t52 @t85))) % 0.39/0.68 (step @p76 :rule quant-var-elim-eq :args ((= (forall @t56 @t88) @t85))) % 0.39/0.68 (step @p77 :rule aci_norm :args ((= @t89 @t88))) % 0.39/0.68 (step @p78 :rule cong :premises (@p77) :args (@t90)) % 0.39/0.68 (step @p79 :rule trans :premises (@p78 @p76)) % 0.39/0.68 (step @p80 :rule cong :premises (@p79) :args (@t91)) % 0.39/0.68 (step @p81 :rule quant-merge-prenex :args ((= @t91 @t92))) % 0.39/0.68 (step @p82 :rule symm :premises (@p81)) % 0.39/0.68 (step @p83 :rule quant_var_reordering :args ((= (forall @t16 @t89) @t92))) % 0.39/0.68 (step @p84 :rule trans :premises (@p83 @p82 @p80)) % 0.39/0.68 (step @p85 :rule trans :premises (@p84 @p75)) % 0.39/0.68 (step @p86 :rule eq-symm :args (@t28 @t5)) % 0.39/0.68 (step @p87 :rule cong :premises (@p86) :args (@t29)) % 0.39/0.68 (step @p88 :rule eq-symm :args (@t30 @t15)) % 0.39/0.68 (step @p89 :rule cong :premises (@p88) :args (@t31)) % 0.39/0.68 (step @p90 :rule eq-symm :args (@t32 @t5)) % 0.39/0.68 (step @p91 :rule cong :premises (@p90) :args (@t33)) % 0.39/0.68 (step @p92 :rule eq-symm :args (@t30 @t2)) % 0.39/0.68 (step @p93 :rule cong :premises (@p92) :args (@t34)) % 0.39/0.68 (step @p94 :rule nary_cong :premises (@p93 @p91 @p89 @p87 @p17) :args (@t35)) % 0.39/0.68 (step @p95 :rule cong :premises (@p94) :args (@t36)) % 0.39/0.68 (step @p96 :rule trans :premises (@p95 @p85)) % 0.39/0.68 (step @p97 :rule eq_resolve :premises (@p9 @p96)) % 0.39/0.68 (step @p98 :rule refl :args (@t45)) % 0.39/0.68 (step @p99 :rule eq-symm :args (@t62 @t63)) % 0.39/0.68 (step @p100 :rule cong :premises (@p99) :args (@t93)) % 0.39/0.68 (step @p101 :rule eq-symm :args (@t42 @t30)) % 0.39/0.68 (step @p102 :rule cong :premises (@p101) :args (@t94)) % 0.39/0.68 (step @p103 :rule eq-symm :args (@t39 @t30)) % 0.39/0.68 (step @p104 :rule cong :premises (@p103) :args (@t95)) % 0.39/0.68 (step @p105 :rule nary_cong :premises (@p104 @p102 @p100 @p98) :args (@t96)) % 0.39/0.68 (step @p106 :rule refl :args (@t97)) % 0.39/0.68 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t97 @t96))) % 0.39/0.68 (assume-push @p194 @t97) % 0.39/0.68 (step @p109 :rule instantiate :premises (@p97) :args ((@list tptp.h tptp.g))) % 0.39/0.68 (step-pop @p195 :rule scope :premises (@p109)) % 0.39/0.68 (step @p110 :rule process_scope :premises (@p195) :args (@t96)) % 0.39/0.68 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.39/0.68 (step @p113 :rule implies_elim :premises (@p112)) % 0.39/0.68 (step @p114 :rule chain_m_resolution :premises (@p113 @p97) :args (@t103 @t79 (@list @t97))) % 0.39/0.68 (step @p115 :rule eq-symm :args (@t41 @t30)) % 0.39/0.68 (step @p116 :rule refl :args (@t104)) % 0.39/0.68 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t105)) % 0.39/0.68 (step @p118 :rule refl :args (@t13)) % 0.39/0.68 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t13 @t105))) % 0.39/0.68 (assume-push @p196 @t13) % 0.39/0.68 (step @p121 :rule instantiate :premises (@p6) :args ((@list tptp.a tptp.b))) % 0.39/0.68 (step-pop @p197 :rule scope :premises (@p121)) % 0.39/0.68 (step @p122 :rule process_scope :premises (@p197) :args (@t105)) % 0.39/0.68 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 0.39/0.68 (step @p125 :rule implies_elim :premises (@p124)) % 0.39/0.68 (step @p126 :rule chain_m_resolution :premises (@p125 @p6) :args (@t107 @t79 (@list @t13))) % 0.39/0.68 (step @p127 :rule cnf_or_pos :args (@t107)) % 0.39/0.68 (step @p128 :rule reordering :premises (@p127) :args ((or @t104 @t106 (not @t107)))) % 0.39/0.68 (step @p129 :rule chain_m_resolution :premises (@p128 @p10 @p126) :args (@t106 @t108 (@list @t38 @t107))) % 0.39/0.68 (step @p130 :rule trans :premises (@p129 @p11)) % 0.39/0.68 (step @p131 :rule trans :premises (@p129 @p12)) % 0.39/0.68 (step @p132 :rule cnf_or_pos :args (@t103)) % 0.39/0.68 (step @p133 :rule reordering :premises (@p132) :args ((or @t45 @t100 @t102 @t98 (not @t103)))) % 0.39/0.68 (step @p134 :rule chain_m_resolution :premises (@p133 @p14 @p131 @p130 @p114) :args (@t98 (@list true false false false) (@list @t45 @t99 @t101 @t103))) % 0.39/0.68 (step @p135 :rule eq-symm :args (@t7 @t2)) % 0.39/0.68 (step @p136 :rule refl :args (@t8)) % 0.39/0.68 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t9)) % 0.39/0.68 (step @p138 :rule cong :premises (@p137) :args (@t11)) % 0.39/0.68 (step @p139 :rule eq_resolve :premises (@p5 @p138)) % 0.39/0.68 (step @p140 :rule instantiate :premises (@p139) :args ((@list tptp.b tptp.h))) % 0.39/0.68 (step @p141 :rule cnf_or_pos :args (@t110)) % 0.39/0.68 (step @p142 :rule reordering :premises (@p141) :args ((or @t102 @t109 (not @t110)))) % 0.39/0.68 (step @p143 :rule chain_m_resolution :premises (@p142 @p130 @p140) :args (@t109 @t108 (@list @t101 @t110))) % 0.39/0.68 (step @p144 :rule trans :premises (@p10 @p143)) % 0.39/0.68 (step @p145 :rule instantiate :premises (@p139) :args ((@list tptp.b tptp.g))) % 0.39/0.68 (step @p146 :rule cnf_or_pos :args (@t112)) % 0.39/0.68 (step @p147 :rule reordering :premises (@p146) :args ((or @t100 @t111 (not @t112)))) % 0.39/0.68 (step @p148 :rule chain_m_resolution :premises (@p147 @p131 @p145) :args (@t111 @t108 (@list @t99 @t112))) % 0.39/0.68 (step @p149 :rule trans :premises (@p10 @p148)) % 0.39/0.68 (step @p150 :rule cnf_or_pos :args (@t78)) % 0.39/0.68 (step @p151 :rule reordering :premises (@p150) :args ((or @t77 @t75 @t64 @t67 (not @t78)))) % 0.39/0.68 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p144 @p134 @p65) :args (@t67 (@list false false true false) (@list @t76 @t74 @t64 @t78))) % 0.39/0.68 (step @p153 :rule false_intro :premises (@p152)) % 0.39/0.68 (step @p154 :rule eq-symm :args (@t65 @t44)) % 0.39/0.68 (step @p155 :rule refl :args (@t102)) % 0.39/0.68 (step @p156 :rule nary_cong :premises (@p116 @p155 @p154) :args (@t113)) % 0.39/0.68 (step @p157 :rule refl :args (@t17)) % 0.39/0.68 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t17 @t113))) % 0.39/0.68 (assume-push @p198 @t17) % 0.39/0.68 (step @p160 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.h))) % 0.39/0.68 (step-pop @p199 :rule scope :premises (@p160)) % 0.39/0.68 (step @p161 :rule process_scope :premises (@p199) :args (@t113)) % 0.39/0.68 (step @p163 :rule eq_resolve :premises (@p161 @p158)) % 0.39/0.68 (step @p164 :rule implies_elim :premises (@p163)) % 0.39/0.68 (step @p165 :rule chain_m_resolution :premises (@p164 @p7) :args (@t115 @t79 @t116)) % 0.39/0.68 (step @p166 :rule cnf_or_pos :args (@t115)) % 0.39/0.68 (step @p167 :rule reordering :premises (@p166) :args ((or @t104 @t102 @t114 (not @t115)))) % 0.39/0.68 (step @p168 :rule chain_m_resolution :premises (@p167 @p10 @p130 @p165) :args (@t114 @t117 (@list @t38 @t101 @t115))) % 0.39/0.68 (step @p169 :rule symm :premises (@p13)) % 0.39/0.68 (step @p170 :rule trans :premises (@p169 @p168)) % 0.39/0.68 (step @p171 :rule eq-symm :args (@t66 @t43)) % 0.39/0.68 (step @p172 :rule refl :args (@t100)) % 0.39/0.68 (step @p173 :rule nary_cong :premises (@p116 @p172 @p171) :args (@t118)) % 0.39/0.68 (step @p174 :rule cong :premises (@p157 @p173) :args ((=> @t17 @t118))) % 0.39/0.68 (assume-push @p200 @t17) % 0.39/0.68 (step @p176 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.b tptp.g))) % 0.39/0.68 (step-pop @p201 :rule scope :premises (@p176)) % 0.39/0.68 (step @p177 :rule process_scope :premises (@p201) :args (@t118)) % 0.39/0.68 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 0.39/0.68 (step @p180 :rule implies_elim :premises (@p179)) % 0.39/0.68 (step @p181 :rule chain_m_resolution :premises (@p180 @p7) :args (@t120 @t79 @t116)) % 0.39/0.68 (step @p182 :rule cnf_or_pos :args (@t120)) % 0.39/0.68 (step @p183 :rule reordering :premises (@p182) :args ((or @t104 @t100 @t119 (not @t120)))) % 0.39/0.68 (step @p184 :rule chain_m_resolution :premises (@p183 @p10 @p131 @p181) :args (@t119 @t117 (@list @t38 @t99 @t120))) % 0.39/0.68 (step @p185 :rule trans :premises (@p13 @p184)) % 0.39/0.68 (step @p186 :rule symm :premises (@p185)) % 0.39/0.68 (step @p187 :rule trans :premises (@p186 @p13 @p170)) % 0.39/0.68 (step @p188 :rule true_intro :premises (@p187)) % 0.39/0.68 (step @p189 :rule symm :premises (@p188)) % 0.39/0.68 (step @p190 :rule trans :premises (@p189 @p153)) % 0.39/0.68 (step @p191 false :rule eq_resolve :premises (@p190 @p15)) % 0.39/0.68 ) % 0.39/0.69 % SZS output end Proof % 0.39/0.69 % cvc5 exiting %------------------------------------------------------------------------------