%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO175^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 09:12:10 AM UTC 2026 % Result : Theorem 150.63s 150.93s % Output : Proof 150.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO175^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n004.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:59:52 EDT 2026 % 0.15/0.36 % CPUTime : % 0.29/0.51 %----Proving TH0 % 150.63/150.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.63/150.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 150.63/150.93 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 150.63/150.93 --- Run --ho-elim --full-saturate-quant at 18s... % 150.63/150.93 % SZS status Theorem % 150.63/150.93 % SZS output start Proof % 150.63/150.93 ( % 150.63/150.93 (declare-sort tptp.a 0) % 150.63/150.93 (declare-sort tptp.p 0) % 150.63/150.93 (declare-const tptp.cSMALLER (-> tptp.a tptp.a Bool)) % 150.63/150.93 (declare-const tptp.cFOX tptp.a) % 150.63/150.93 (declare-const tptp.cWOLF tptp.a) % 150.63/150.93 (declare-const tptp.cBIRD tptp.a) % 150.63/150.93 (declare-const tptp.cCATERPILLAR tptp.a) % 150.63/150.93 (declare-const tptp.cSNAIL tptp.a) % 150.63/150.93 (declare-const tptp.cMEAT_EATS (-> tptp.a tptp.a Bool)) % 150.63/150.93 (declare-const tptp.cVEG_EATS (-> tptp.a tptp.p Bool)) % 150.63/150.93 (declare-const tptp.cGRAIN tptp.p) % 150.63/150.93 (define @t1 () (@var "Xy" tptp.a)) % 150.63/150.93 (define @t2 () (_ (_ tptp.cVEG_EATS @t1) tptp.cGRAIN)) % 150.63/150.93 (define @t3 () (@var "Xx" tptp.a)) % 150.63/150.93 (define @t4 () (_ tptp.cMEAT_EATS @t3)) % 150.63/150.93 (define @t5 () (_ @t4 @t1)) % 150.63/150.93 (define @t6 () (and @t5 @t2)) % 150.63/150.93 (define @t7 () (@list @t3 @t1)) % 150.63/150.93 (define @t8 () (exists @t7 @t6)) % 150.63/150.93 (define @t9 () (@var "Xy" tptp.p)) % 150.63/150.93 (define @t10 () (_ (_ tptp.cVEG_EATS tptp.cSNAIL) @t9)) % 150.63/150.93 (define @t11 () (@list @t9)) % 150.63/150.93 (define @t12 () (exists @t11 @t10)) % 150.63/150.93 (define @t13 () (_ (_ tptp.cVEG_EATS tptp.cCATERPILLAR) @t9)) % 150.63/150.93 (define @t14 () (exists @t11 @t13)) % 150.63/150.93 (define @t15 () (_ tptp.cMEAT_EATS tptp.cBIRD)) % 150.63/150.93 (define @t16 () (not (_ @t15 tptp.cSNAIL))) % 150.63/150.93 (define @t17 () (_ @t15 tptp.cCATERPILLAR)) % 150.63/150.93 (define @t18 () (not (_ (_ tptp.cVEG_EATS tptp.cWOLF) tptp.cGRAIN))) % 150.63/150.93 (define @t19 () (not (_ (_ tptp.cMEAT_EATS tptp.cWOLF) tptp.cFOX))) % 150.63/150.93 (define @t20 () (_ (_ tptp.cSMALLER tptp.cFOX) tptp.cWOLF)) % 150.63/150.93 (define @t21 () (_ (_ tptp.cSMALLER tptp.cBIRD) tptp.cFOX)) % 150.63/150.93 (define @t22 () (_ (_ tptp.cSMALLER tptp.cSNAIL) tptp.cBIRD)) % 150.63/150.93 (define @t23 () (_ (_ tptp.cSMALLER tptp.cCATERPILLAR) tptp.cBIRD)) % 150.63/150.93 (define @t24 () (@var "Xz" tptp.a)) % 150.63/150.93 (define @t25 () (_ @t4 @t24)) % 150.63/150.93 (define @t26 () (@var "Xw" tptp.p)) % 150.63/150.93 (define @t27 () (_ (_ tptp.cVEG_EATS @t24) @t26)) % 150.63/150.93 (define @t28 () (@list @t26)) % 150.63/150.93 (define @t29 () (exists @t28 @t27)) % 150.63/150.93 (define @t30 () (_ (_ tptp.cSMALLER @t24) @t3)) % 150.63/150.93 (define @t31 () (and @t30 @t29)) % 150.63/150.93 (define @t32 () (=> @t31 @t25)) % 150.63/150.93 (define @t33 () (@list @t24)) % 150.63/150.93 (define @t34 () (forall @t33 @t32)) % 150.63/150.93 (define @t35 () (_ (_ tptp.cVEG_EATS @t3) @t9)) % 150.63/150.93 (define @t36 () (forall @t11 @t35)) % 150.63/150.93 (define @t37 () (or @t36 @t34)) % 150.63/150.93 (define @t38 () (@list @t3)) % 150.63/150.93 (define @t39 () (forall @t38 @t37)) % 150.63/150.93 (define @t40 () (and @t39 @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 @t14 @t12)) % 150.63/150.93 (define @t41 () (=> @t40 @t8)) % 150.63/150.93 (define @t42 () (not @t41)) % 150.63/150.93 (define @t43 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.p Bool)))) % 150.63/150.93 (define @t44 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.p Bool)) tptp.a (@ho-elim-sort (-> tptp.p Bool))))) % 150.63/150.93 (define @t45 () (@const 2 (-> (@ho-elim-sort (-> tptp.p Bool)) tptp.p Bool))) % 150.63/150.93 (define @t46 () (@const 3 (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.63/150.93 (define @t47 () (@const 4 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 150.63/150.93 (define @t48 () (_ @t47 @t46 @t3)) % 150.63/150.93 (define @t49 () (@const 5 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 150.63/150.93 (define @t50 () (_ @t44 @t43 tptp.cSNAIL)) % 150.63/150.93 (define @t51 () (forall @t11 (not (_ @t45 @t50 @t9)))) % 150.63/150.93 (define @t52 () (not @t51)) % 150.63/150.93 (define @t53 () (_ @t47 @t46 tptp.cBIRD)) % 150.63/150.93 (define @t54 () (_ @t49 @t53 tptp.cSNAIL)) % 150.63/150.93 (define @t55 () (_ @t45 (_ @t44 @t43 tptp.cWOLF) tptp.cGRAIN)) % 150.63/150.93 (define @t56 () (_ @t49 (_ @t47 @t46 tptp.cWOLF) tptp.cFOX)) % 150.63/150.93 (define @t57 () (@const 6 (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 150.63/150.93 (define @t58 () (_ @t49 (_ @t47 @t57 tptp.cFOX) tptp.cWOLF)) % 150.63/150.93 (define @t59 () (_ @t49 (_ @t47 @t57 tptp.cBIRD) tptp.cFOX)) % 150.63/150.93 (define @t60 () (_ @t49 (_ @t47 @t57 tptp.cSNAIL) tptp.cBIRD)) % 150.63/150.93 (define @t61 () (@var "BOUND_VARIABLE_7513" tptp.a)) % 150.63/150.93 (define @t62 () (@var "BOUND_VARIABLE_7515" tptp.p)) % 150.63/150.93 (define @t63 () (@var "BOUND_VARIABLE_7510" tptp.p)) % 150.63/150.93 (define @t64 () (@list @t3 @t63 @t61 @t62)) % 150.63/150.93 (define @t65 () (forall @t64 (or (_ @t45 (_ @t44 @t43 @t3) @t63) (not (_ @t49 (_ @t47 @t57 @t61) @t3)) (not (_ @t45 (_ @t44 @t43 @t61) @t62)) (_ @t49 @t48 @t61)))) % 150.63/150.93 (define @t66 () (tptp.cVEG_EATS @t1 tptp.cGRAIN)) % 150.63/150.93 (define @t67 () (tptp.cMEAT_EATS @t3 @t1)) % 150.63/150.93 (define @t68 () (tptp.cVEG_EATS tptp.cSNAIL @t9)) % 150.63/150.93 (define @t69 () (tptp.cVEG_EATS tptp.cCATERPILLAR @t9)) % 150.63/150.93 (define @t70 () (tptp.cMEAT_EATS @t3 @t61)) % 150.63/150.93 (define @t71 () (not (tptp.cVEG_EATS @t61 @t62))) % 150.63/150.93 (define @t72 () (not (tptp.cSMALLER @t61 @t3))) % 150.63/150.93 (define @t73 () (tptp.cVEG_EATS @t3 @t63)) % 150.63/150.93 (define @t74 () (or @t73 @t72 @t71 @t70)) % 150.63/150.93 (define @t75 () (not @t2)) % 150.63/150.93 (define @t76 () (not @t5)) % 150.63/150.93 (define @t77 () (or @t76 @t75)) % 150.63/150.93 (define @t78 () (forall @t7 (not @t6))) % 150.63/150.93 (define @t79 () (not @t78)) % 150.63/150.93 (define @t80 () (not @t10)) % 150.63/150.93 (define @t81 () (forall @t11 @t80)) % 150.63/150.93 (define @t82 () (not @t81)) % 150.63/150.93 (define @t83 () (not @t13)) % 150.63/150.93 (define @t84 () (forall @t11 @t83)) % 150.63/150.93 (define @t85 () (not @t84)) % 150.63/150.93 (define @t86 () (or @t72 @t71 @t70)) % 150.63/150.93 (define @t87 () (or @t73 @t86)) % 150.63/150.93 (define @t88 () (forall @t64 @t87)) % 150.63/150.93 (define @t89 () (forall (@list @t63 @t61 @t62) @t87)) % 150.63/150.93 (define @t90 () (forall (@list @t61 @t62) @t86)) % 150.63/150.93 (define @t91 () (@var "BOUND_VARIABLE_7501" tptp.p)) % 150.63/150.93 (define @t92 () (forall (@list @t63) @t73)) % 150.63/150.93 (define @t93 () (or @t92 @t90)) % 150.63/150.93 (define @t94 () (tptp.cMEAT_EATS @t3 @t24)) % 150.63/150.93 (define @t95 () (not (tptp.cVEG_EATS @t24 @t91))) % 150.63/150.93 (define @t96 () (tptp.cSMALLER @t24 @t3)) % 150.63/150.93 (define @t97 () (not @t96)) % 150.63/150.93 (define @t98 () (or @t97 @t95 @t94)) % 150.63/150.93 (define @t99 () (forall (@list @t24 @t91) @t98)) % 150.63/150.93 (define @t100 () (tptp.cVEG_EATS @t3 @t9)) % 150.63/150.93 (define @t101 () (@list @t91)) % 150.63/150.93 (define @t102 () (forall @t101 @t98)) % 150.63/150.93 (define @t103 () (forall @t101 @t95)) % 150.63/150.93 (define @t104 () (or @t97 @t103 @t94)) % 150.63/150.93 (define @t105 () (tptp.cVEG_EATS @t24 @t26)) % 150.63/150.93 (define @t106 () (forall @t28 (not @t105))) % 150.63/150.93 (define @t107 () (not @t30)) % 150.63/150.93 (define @t108 () (or @t107 @t106 @t25)) % 150.63/150.93 (define @t109 () (not @t106)) % 150.63/150.93 (define @t110 () (and @t30 @t109)) % 150.63/150.93 (define @t111 () (not @t27)) % 150.63/150.93 (define @t112 () (forall @t28 @t111)) % 150.63/150.93 (define @t113 () (not @t112)) % 150.63/150.93 (define @t114 () (@quantifiers_skolemize @t51 0)) % 150.63/150.93 (define @t115 () (_ @t45 @t50 @t114)) % 150.63/150.93 (define @t116 () (not @t115)) % 150.63/150.93 (define @t117 () (not @t116)) % 150.63/150.93 (define @t118 () (not @t60)) % 150.63/150.93 (define @t119 () (_ @t45 (_ @t44 @t43 tptp.cBIRD) tptp.cGRAIN)) % 150.63/150.93 (define @t120 () (or @t119 @t118 @t116 @t54)) % 150.63/150.93 (define @t121 () (not @t119)) % 150.63/150.93 (define @t122 () (_ @t49 (_ @t47 @t46 tptp.cFOX) tptp.cBIRD)) % 150.63/150.93 (define @t123 () (not @t122)) % 150.63/150.93 (define @t124 () (or @t123 @t121)) % 150.63/150.93 (define @t125 () (_ @t45 (_ @t44 @t43 tptp.cFOX) tptp.cGRAIN)) % 150.63/150.93 (define @t126 () (not @t125)) % 150.63/150.93 (define @t127 () (not @t58)) % 150.63/150.93 (define @t128 () (or @t55 @t127 @t126 @t56)) % 150.63/150.93 (define @t129 () (not @t59)) % 150.63/150.93 (define @t130 () (or @t125 @t129 @t121 @t122)) % 150.63/150.93 (define @t131 () (not @t130)) % 150.63/150.93 (assume @p1 @t42) % 150.63/150.93 (assume @p2 true) % 150.63/150.93 ; WARNING: add trust step for TRUST % 150.63/150.93 ; trust TRUST PREPROCESS_HO_ELIM % 150.63/150.93 (step @p3 :rule trust :premises () :args ((= (not (=> (and (forall @t64 @t74) @t23 @t22 @t21 @t20 @t19 @t18 @t17 @t16 (not (forall @t11 (not @t69))) (not (forall @t11 (not @t68)))) (not (forall @t7 (or (not @t67) (not @t66)))))) (not (=> (and @t65 (_ @t49 (_ @t47 @t57 tptp.cCATERPILLAR) tptp.cBIRD) @t60 @t59 @t58 (not @t56) (not @t55) (_ @t49 @t53 tptp.cCATERPILLAR) (not @t54) (not (forall @t11 (not (_ @t45 (_ @t44 @t43 tptp.cCATERPILLAR) @t9)))) @t52) (not (forall @t7 (or (not (_ @t49 @t48 @t1)) (not (_ @t45 (_ @t44 @t43 @t1) tptp.cGRAIN)))))))))) % 150.63/150.93 (step @p4 :rule refl :args (@t66)) % 150.63/150.93 (step @p5 :rule refl :args (@t2)) % 150.63/150.93 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t66))) % 150.63/150.93 (step @p7 :rule symm :premises (@p6)) % 150.63/150.93 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 150.63/150.93 (step @p9 :rule cong :premises (@p8) :args (@t75)) % 150.63/150.93 (step @p10 :rule refl :args (@t67)) % 150.63/150.93 (step @p11 :rule refl :args (@t5)) % 150.63/150.93 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t5 @t67))) % 150.63/150.93 (step @p13 :rule symm :premises (@p12)) % 150.63/150.93 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 150.63/150.93 (step @p15 :rule cong :premises (@p14) :args (@t76)) % 150.63/150.93 (step @p16 :rule nary_cong :premises (@p15 @p9) :args (@t77)) % 150.63/150.93 (step @p17 :rule cong :premises (@p16) :args ((forall @t7 @t77))) % 150.63/150.93 (step @p18 :rule bool-and-de-morgan :args (@t5 @t2 true)) % 150.63/150.93 (step @p19 :rule cong :premises (@p18) :args (@t78)) % 150.63/150.93 (step @p20 :rule trans :premises (@p19 @p17)) % 150.63/150.93 (step @p21 :rule cong :premises (@p20) :args (@t79)) % 150.63/150.93 (step @p22 :rule exists-elim :args ((= @t8 @t79))) % 150.63/150.93 (step @p23 :rule trans :premises (@p22 @p21)) % 150.63/150.93 (step @p24 :rule refl :args (@t68)) % 150.63/150.93 (step @p25 :rule refl :args (@t10)) % 150.63/150.93 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t10 @t68))) % 150.63/150.93 (step @p27 :rule symm :premises (@p26)) % 150.63/150.93 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 150.63/150.93 (step @p29 :rule cong :premises (@p28) :args (@t80)) % 150.63/150.93 (step @p30 :rule cong :premises (@p29) :args (@t81)) % 150.63/150.93 (step @p31 :rule cong :premises (@p30) :args (@t82)) % 150.63/150.93 (step @p32 :rule exists-elim :args ((= @t12 @t82))) % 150.63/150.93 (step @p33 :rule trans :premises (@p32 @p31)) % 150.63/150.93 (step @p34 :rule refl :args (@t69)) % 150.63/150.93 (step @p35 :rule refl :args (@t13)) % 150.63/150.93 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t13 @t69))) % 150.63/150.93 (step @p37 :rule symm :premises (@p36)) % 150.63/150.93 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 150.63/150.93 (step @p39 :rule cong :premises (@p38) :args (@t83)) % 150.63/150.93 (step @p40 :rule cong :premises (@p39) :args (@t84)) % 150.63/150.93 (step @p41 :rule cong :premises (@p40) :args (@t85)) % 150.63/150.93 (step @p42 :rule exists-elim :args ((= @t14 @t85))) % 150.63/150.93 (step @p43 :rule trans :premises (@p42 @p41)) % 150.63/150.93 (step @p44 :rule refl :args (@t16)) % 150.63/150.93 (step @p45 :rule refl :args (@t17)) % 150.63/150.93 (step @p46 :rule refl :args (@t18)) % 150.63/150.93 (step @p47 :rule refl :args (@t19)) % 150.63/150.93 (step @p48 :rule refl :args (@t20)) % 150.63/150.93 (step @p49 :rule refl :args (@t21)) % 150.63/150.93 (step @p50 :rule refl :args (@t22)) % 150.63/150.93 (step @p51 :rule refl :args (@t23)) % 150.63/150.93 (step @p52 :rule aci_norm :args ((= @t87 @t74))) % 150.63/150.93 (step @p53 :rule cong :premises (@p52) :args (@t88)) % 150.63/150.93 (step @p54 :rule quant-merge-prenex :args ((= (forall @t38 @t89) @t88))) % 150.63/150.93 (step @p55 :rule alpha_equiv :args (@t90 (@list @t61 @t62) (@list @t24 @t91))) % 150.63/150.93 (step @p56 :rule alpha_equiv :args (@t92 (@list @t63) (@list @t9))) % 150.63/150.93 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t93)) % 150.63/150.93 (step @p58 :rule quant-miniscope-or :args ((= @t89 @t93))) % 150.63/150.93 (step @p59 :rule trans :premises (@p58 @p57)) % 150.63/150.93 (step @p60 :rule symm :premises (@p59)) % 150.63/150.93 (step @p61 :rule cong :premises (@p60) :args ((forall @t38 (or (forall @t11 @t100) @t99)))) % 150.63/150.93 (step @p62 :rule trans :premises (@p61 @p54)) % 150.63/150.93 (step @p63 :rule trans :premises (@p62 @p53)) % 150.63/150.93 (step @p64 :rule quant-merge-prenex :args ((= (forall @t33 @t102) @t99))) % 150.63/150.93 (step @p65 :rule refl :args (@t94)) % 150.63/150.93 (step @p66 :rule alpha_equiv :args (@t103 (@list @t91) (@list @t26))) % 150.63/150.93 (step @p67 :rule refl :args (@t97)) % 150.63/150.93 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t104)) % 150.63/150.93 (step @p69 :rule quant-miniscope-or :args ((= @t102 @t104))) % 150.63/150.93 (step @p70 :rule trans :premises (@p69 @p68)) % 150.63/150.93 (step @p71 :rule symm :premises (@p70)) % 150.63/150.93 (step @p72 :rule cong :premises (@p71) :args ((forall @t33 (or @t97 @t106 @t94)))) % 150.63/150.93 (step @p73 :rule trans :premises (@p72 @p64)) % 150.63/150.93 (step @p74 :rule refl :args (@t94)) % 150.63/150.93 (step @p75 :rule refl :args (@t25)) % 150.63/150.93 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t25 @t94))) % 150.63/150.93 (step @p77 :rule symm :premises (@p76)) % 150.63/150.93 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 150.63/150.93 (step @p79 :rule refl :args (@t106)) % 150.63/150.93 (step @p80 :rule refl :args (@t96)) % 150.63/150.93 (step @p81 :rule refl :args (@t30)) % 150.63/150.93 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t30 @t96))) % 150.63/150.93 (step @p83 :rule symm :premises (@p82)) % 150.63/150.93 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 150.63/150.93 (step @p85 :rule cong :premises (@p84) :args (@t107)) % 150.63/150.93 (step @p86 :rule nary_cong :premises (@p85 @p79 @p78) :args (@t108)) % 150.63/150.93 (step @p87 :rule cong :premises (@p86) :args ((forall @t33 @t108))) % 150.63/150.93 (step @p88 :rule trans :premises (@p87 @p73)) % 150.63/150.93 (step @p89 :rule aci_norm :args ((= (or (or @t107 @t106) @t25) @t108))) % 150.63/150.93 (step @p90 :rule bool-double-not-elim :args (@t106)) % 150.63/150.93 (step @p91 :rule refl :args (@t107)) % 150.63/150.93 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t107 (not @t109)))) % 150.63/150.93 (step @p93 :rule bool-and-de-morgan :args (@t30 @t109 true)) % 150.63/150.93 (step @p94 :rule trans :premises (@p93 @p92)) % 150.63/150.93 (step @p95 :rule nary_cong :premises (@p94 @p75) :args ((or (not @t110) @t25))) % 150.63/150.93 (step @p96 :rule trans :premises (@p95 @p89)) % 150.63/150.93 (step @p97 :rule bool-impl-elim :args (@t110 @t25)) % 150.63/150.93 (step @p98 :rule trans :premises (@p97 @p96)) % 150.63/150.93 (step @p99 :rule cong :premises (@p98) :args ((forall @t33 (=> @t110 @t25)))) % 150.63/150.93 (step @p100 :rule trans :premises (@p99 @p88)) % 150.63/150.93 (step @p101 :rule refl :args (@t25)) % 150.63/150.93 (step @p102 :rule refl :args (@t105)) % 150.63/150.93 (step @p103 :rule refl :args (@t27)) % 150.63/150.93 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t27 @t105))) % 150.63/150.93 (step @p105 :rule symm :premises (@p104)) % 150.63/150.93 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 150.63/150.93 (step @p107 :rule cong :premises (@p106) :args (@t111)) % 150.63/150.93 (step @p108 :rule cong :premises (@p107) :args (@t112)) % 150.63/150.93 (step @p109 :rule cong :premises (@p108) :args (@t113)) % 150.63/150.93 (step @p110 :rule exists-elim :args ((= @t29 @t113))) % 150.63/150.93 (step @p111 :rule trans :premises (@p110 @p109)) % 150.63/150.93 (step @p112 :rule refl :args (@t30)) % 150.63/150.93 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t31)) % 150.63/150.93 (step @p114 :rule cong :premises (@p113 @p101) :args (@t32)) % 150.63/150.93 (step @p115 :rule cong :premises (@p114) :args (@t34)) % 150.63/150.93 (step @p116 :rule trans :premises (@p115 @p100)) % 150.63/150.93 (step @p117 :rule refl :args (@t100)) % 150.63/150.93 (step @p118 :rule refl :args (@t35)) % 150.63/150.93 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t35 @t100))) % 150.63/150.93 (step @p120 :rule symm :premises (@p119)) % 150.63/150.93 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 150.63/150.93 (step @p122 :rule cong :premises (@p121) :args (@t36)) % 150.63/150.93 (step @p123 :rule nary_cong :premises (@p122 @p116) :args (@t37)) % 150.63/150.93 (step @p124 :rule cong :premises (@p123) :args (@t39)) % 150.63/150.93 (step @p125 :rule trans :premises (@p124 @p63)) % 150.63/150.93 (step @p126 :rule nary_cong :premises (@p125 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p33) :args (@t40)) % 150.63/150.93 (step @p127 :rule cong :premises (@p126 @p23) :args (@t41)) % 150.63/150.93 (step @p128 :rule cong :premises (@p127) :args (@t42)) % 150.63/150.93 (step @p129 :rule trans :premises (@p128 @p3)) % 150.63/150.93 (step @p130 :rule eq_resolve :premises (@p1 @p129)) % 150.63/150.93 (step @p131 :rule not_implies_elim1 :premises (@p130)) % 150.63/150.93 (step @p132 :rule and_elim :premises (@p131) :args (0)) % 150.63/150.93 (step @p133 :rule not_implies_elim2 :premises (@p130)) % 150.63/150.93 (step @p134 :rule not_not_elim :premises (@p133)) % 150.63/150.93 (step @p135 :rule instantiate :premises (@p134) :args ((@list tptp.cFOX tptp.cBIRD))) % 150.63/150.93 (step @p136 :rule instantiate :premises (@p132) :args ((@list tptp.cBIRD tptp.cGRAIN tptp.cSNAIL @t114))) % 150.63/150.93 (step @p137 :rule and_elim :premises (@p131) :args (10)) % 150.63/150.93 (step @p138 :rule refl :args (@t115)) % 150.63/150.93 (step @p139 :rule bool-double-not-elim :args (@t51)) % 150.63/150.93 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or (not @t52) @t115))) % 150.63/150.93 (step @p141 :rule bool-double-not-elim :args (@t115)) % 150.63/150.93 (step @p142 :rule refl :args (@t52)) % 150.63/150.93 (step @p143 :rule cong :premises (@p142 @p141) :args ((=> @t52 @t117))) % 150.63/150.93 (assume-push @p177 @t52) % 150.63/150.93 (step @p145 :rule skolemize :premises (@p137)) % 150.63/150.93 (step-pop @p178 :rule scope :premises (@p145)) % 150.63/150.93 (step @p146 :rule process_scope :premises (@p178) :args (@t117)) % 150.63/150.93 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 150.63/150.93 (step @p149 :rule implies_elim :premises (@p148)) % 150.63/150.93 (step @p150 :rule eq_resolve :premises (@p149 @p140)) % 150.63/150.93 (step @p151 :rule chain_m_resolution :premises (@p150 @p137) :args (@t115 (@list true) (@list @t51))) % 150.63/150.93 (step @p152 :rule and_elim :premises (@p131) :args (2)) % 150.63/150.93 (step @p153 :rule and_elim :premises (@p131) :args (8)) % 150.63/150.93 (step @p154 :rule cnf_or_pos :args (@t120)) % 150.63/150.93 (step @p155 :rule reordering :premises (@p154) :args ((or @t54 @t118 @t116 @t119 (not @t120)))) % 150.63/150.93 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152 @p151 @p136) :args (@t119 (@list true false false false) (@list @t54 @t60 @t115 @t120))) % 150.63/150.93 (step @p157 :rule cnf_or_pos :args (@t124)) % 150.63/150.93 (step @p158 :rule reordering :premises (@p157) :args ((or @t121 @t123 (not @t124)))) % 150.63/150.93 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p135) :args (@t123 (@list false false) (@list @t119 @t124))) % 150.63/150.93 (step @p160 :rule instantiate :premises (@p132) :args ((@list tptp.cWOLF tptp.cGRAIN tptp.cFOX tptp.cGRAIN))) % 150.63/150.93 (step @p161 :rule and_elim :premises (@p131) :args (4)) % 150.63/150.93 (step @p162 :rule and_elim :premises (@p131) :args (5)) % 150.63/150.93 (step @p163 :rule and_elim :premises (@p131) :args (6)) % 150.63/150.93 (step @p164 :rule cnf_or_pos :args (@t128)) % 150.63/150.93 (step @p165 :rule reordering :premises (@p164) :args ((or @t55 @t56 @t127 @t126 (not @t128)))) % 150.63/150.93 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p162 @p161 @p160) :args (@t126 (@list true true false false) (@list @t55 @t56 @t58 @t128))) % 150.63/150.93 (step @p167 :rule and_elim :premises (@p131) :args (3)) % 150.63/150.93 (step @p168 :rule cnf_or_pos :args (@t130)) % 150.63/150.93 (step @p169 :rule reordering :premises (@p168) :args ((or @t129 @t121 @t125 @t122 @t131))) % 150.63/150.93 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p156 @p166 @p159) :args (@t131 (@list false false true true) (@list @t59 @t119 @t125 @t122))) % 150.63/150.93 (assume-push @p179 @t65) % 150.63/150.93 (step @p172 :rule instantiate :premises (@p132) :args ((@list tptp.cFOX tptp.cGRAIN tptp.cBIRD tptp.cGRAIN))) % 150.63/150.93 (step-pop @p180 :rule scope :premises (@p172)) % 150.63/150.93 (step @p173 :rule process_scope :premises (@p180) :args (@t130)) % 150.63/150.93 (step @p175 :rule implies_elim :premises (@p173)) % 150.63/150.93 (step @p176 false :rule chain_m_resolution :premises (@p175 @p170 @p132) :args (false (@list true false) (@list @t130 @t65))) % 150.63/150.93 ) % 150.63/150.93 % SZS output end Proof % 150.63/150.93 % cvc5 exiting %------------------------------------------------------------------------------