%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN563-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:09:24 AM UTC 2026 % Result : Unsatisfiable 33.88s 34.05s % Output : Proof 33.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN563-10 : TPTP v9.2.1. Released v7.5.0. % 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 : n003.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 23:31:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.54/15.73 --- Run --no-e-matching --full-saturate-quant at 6... % 21.55/21.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.54/27.77 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.65/33.82 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.88/34.05 % SZS status Unsatisfiable % 33.88/34.05 % SZS output start Proof % 33.88/34.05 ( % 33.88/34.05 (declare-sort $$unsorted 0) % 33.88/34.05 (declare-const tptp.a $$unsorted) % 33.88/34.05 (declare-const tptp.b $$unsorted) % 33.88/34.05 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 33.88/34.05 (declare-const tptp.c7 $$unsorted) % 33.88/34.05 (declare-const tptp.f4 (-> $$unsorted $$unsorted)) % 33.88/34.05 (declare-const tptp.c8 $$unsorted) % 33.88/34.05 (declare-const tptp.p6 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.05 (declare-const tptp.p2 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.05 (declare-const tptp.true $$unsorted) % 33.88/34.05 (declare-const tptp.p5 (-> $$unsorted $$unsorted $$unsorted)) % 33.88/34.05 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.88/34.05 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.88/34.05 (define @t1 () (@var "B" $$unsorted)) % 33.88/34.05 (define @t2 () (@var "C" $$unsorted)) % 33.88/34.05 (define @t3 () (@var "A" $$unsorted)) % 33.88/34.05 (define @t4 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 33.88/34.05 (define @t5 () (@list @t3 @t1 @t2)) % 33.88/34.05 (define @t6 () (forall @t5 (= @t4 @t1))) % 33.88/34.05 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 33.88/34.05 (define @t8 () (forall @t5 (= @t7 @t1))) % 33.88/34.05 (define @t9 () (@var "X0" $$unsorted)) % 33.88/34.05 (define @t10 () (tptp.p2 @t9 @t9)) % 33.88/34.05 (define @t11 () (@list @t9)) % 33.88/34.05 (define @t12 () (forall @t11 (= @t10 tptp.true))) % 33.88/34.05 (define @t13 () (@var "X22" $$unsorted)) % 33.88/34.05 (define @t14 () (tptp.p6 @t13 @t13)) % 33.88/34.05 (define @t15 () (@list @t13)) % 33.88/34.05 (define @t16 () (forall @t15 (= @t14 tptp.true))) % 33.88/34.05 (define @t17 () (tptp.f4 tptp.c8)) % 33.88/34.05 (define @t18 () (tptp.f4 tptp.c7)) % 33.88/34.05 (define @t19 () (tptp.p2 @t18 @t17)) % 33.88/34.05 (define @t20 () (@var "X21" $$unsorted)) % 33.88/34.05 (define @t21 () (@var "X20" $$unsorted)) % 33.88/34.05 (define @t22 () (@var "X16" $$unsorted)) % 33.88/34.05 (define @t23 () (tptp.p5 (tptp.f3 (tptp.f3 @t22)) (tptp.f3 (tptp.f4 @t22)))) % 33.88/34.05 (define @t24 () (@list @t22)) % 33.88/34.05 (define @t25 () (forall @t24 (= @t23 tptp.true))) % 33.88/34.05 (define @t26 () (@var "X11" $$unsorted)) % 33.88/34.05 (define @t27 () (@var "X10" $$unsorted)) % 33.88/34.05 (define @t28 () (tptp.p5 @t27 @t26)) % 33.88/34.05 (define @t29 () (tptp.p6 (tptp.f4 @t27) @t26)) % 33.88/34.05 (define @t30 () (@list @t27 @t26)) % 33.88/34.05 (define @t31 () (@var "X27" $$unsorted)) % 33.88/34.05 (define @t32 () (tptp.p6 tptp.c7 (tptp.f3 @t31))) % 33.88/34.05 (define @t33 () (tptp.p6 tptp.c7 @t31)) % 33.88/34.05 (define @t34 () (tptp.ifeq2 @t33 tptp.true @t32 tptp.true)) % 33.88/34.05 (define @t35 () (@list @t31)) % 33.88/34.05 (define @t36 () (forall @t35 (= @t34 tptp.true))) % 33.88/34.05 (define @t37 () (tptp.ifeq2 @t28 tptp.true @t29 tptp.true)) % 33.88/34.05 (define @t38 () (forall @t30 (= @t37 tptp.true))) % 33.88/34.05 (define @t39 () (@var "X4" $$unsorted)) % 33.88/34.05 (define @t40 () (@var "X3" $$unsorted)) % 33.88/34.05 (define @t41 () (tptp.p2 (tptp.f3 @t40) (tptp.f3 @t39))) % 33.88/34.05 (define @t42 () (tptp.p2 @t40 @t39)) % 33.88/34.05 (define @t43 () (tptp.ifeq2 @t42 tptp.true @t41 tptp.true)) % 33.88/34.05 (define @t44 () (@list @t40 @t39)) % 33.88/34.05 (define @t45 () (forall @t44 (= @t43 tptp.true))) % 33.88/34.05 (define @t46 () (@var "X6" $$unsorted)) % 33.88/34.05 (define @t47 () (@var "X5" $$unsorted)) % 33.88/34.05 (define @t48 () (@var "X2" $$unsorted)) % 33.88/34.05 (define @t49 () (@var "X1" $$unsorted)) % 33.88/34.05 (define @t50 () (@var "X18" $$unsorted)) % 33.88/34.05 (define @t51 () (@var "X17" $$unsorted)) % 33.88/34.05 (define @t52 () (@var "X19" $$unsorted)) % 33.88/34.05 (define @t53 () (@var "X8" $$unsorted)) % 33.88/34.05 (define @t54 () (@var "X7" $$unsorted)) % 33.88/34.05 (define @t55 () (tptp.p5 @t54 @t53)) % 33.88/34.05 (define @t56 () (@var "X9" $$unsorted)) % 33.88/34.05 (define @t57 () (tptp.p5 @t56 @t53)) % 33.88/34.05 (define @t58 () (tptp.ifeq2 @t57 tptp.true @t55 tptp.true)) % 33.88/34.05 (define @t59 () (tptp.p6 @t54 @t56)) % 33.88/34.05 (define @t60 () (tptp.ifeq2 @t59 tptp.true @t58 tptp.true)) % 33.88/34.05 (define @t61 () (@list @t54 @t56 @t53)) % 33.88/34.05 (define @t62 () (forall @t61 (= @t60 tptp.true))) % 33.88/34.05 (define @t63 () (@var "X24" $$unsorted)) % 33.88/34.05 (define @t64 () (@var "X23" $$unsorted)) % 33.88/34.05 (define @t65 () (@var "X25" $$unsorted)) % 33.88/34.05 (define @t66 () (@var "X26" $$unsorted)) % 33.88/34.05 (define @t67 () (@var "X13" $$unsorted)) % 33.88/34.05 (define @t68 () (@var "X12" $$unsorted)) % 33.88/34.05 (define @t69 () (tptp.p5 @t68 @t67)) % 33.88/34.05 (define @t70 () (@var "X15" $$unsorted)) % 33.88/34.05 (define @t71 () (@var "X14" $$unsorted)) % 33.88/34.05 (define @t72 () (tptp.p5 @t71 @t70)) % 33.88/34.05 (define @t73 () (tptp.ifeq2 @t72 tptp.true @t69 tptp.true)) % 33.88/34.05 (define @t74 () (tptp.p2 @t70 @t67)) % 33.88/34.05 (define @t75 () (tptp.ifeq2 @t74 tptp.true @t73 tptp.true)) % 33.88/34.05 (define @t76 () (tptp.p2 @t71 @t68)) % 33.88/34.05 (define @t77 () (tptp.ifeq2 @t76 tptp.true @t75 tptp.true)) % 33.88/34.05 (define @t78 () (@list @t71 @t68 @t70 @t67)) % 33.88/34.05 (define @t79 () (forall @t78 (= @t77 tptp.true))) % 33.88/34.05 (define @t80 () (tptp.f3 @t17)) % 33.88/34.05 (define @t81 () (tptp.p6 @t18 @t80)) % 33.88/34.05 (define @t82 () (tptp.ifeq @t81 tptp.true tptp.a tptp.b)) % 33.88/34.05 (define @t83 () (= tptp.true @t37)) % 33.88/34.05 (define @t84 () (= tptp.true @t14)) % 33.88/34.05 (define @t85 () (tptp.p5 tptp.c7 @t80)) % 33.88/34.05 (define @t86 () (= tptp.true @t23)) % 33.88/34.05 (define @t87 () (= tptp.true @t60)) % 33.88/34.05 (define @t88 () (tptp.f3 @t18)) % 33.88/34.05 (define @t89 () (tptp.f3 tptp.c7)) % 33.88/34.05 (define @t90 () (tptp.f3 @t89)) % 33.88/34.05 (define @t91 () (tptp.p5 tptp.c7 @t88)) % 33.88/34.05 (define @t92 () (tptp.p5 @t90 @t88)) % 33.88/34.05 (define @t93 () (tptp.ifeq2 @t92 @t19 @t91 @t19)) % 33.88/34.05 (define @t94 () (tptp.p6 tptp.c7 @t90)) % 33.88/34.05 (define @t95 () (tptp.p6 tptp.c7 @t89)) % 33.88/34.05 (define @t96 () (tptp.p6 tptp.c7 tptp.c7)) % 33.88/34.05 (define @t97 () (forall @t15 (= @t14 @t19))) % 33.88/34.05 (define @t98 () (= @t96 @t19)) % 33.88/34.05 (define @t99 () (@list tptp.c7)) % 33.88/34.05 (define @t100 () (= tptp.true @t34)) % 33.88/34.05 (define @t101 () (tptp.ifeq2 @t91 @t19 @t85 @t19)) % 33.88/34.05 (define @t102 () (= tptp.true @t43)) % 33.88/34.05 (define @t103 () (tptp.p2 @t88 @t80)) % 33.88/34.05 (define @t104 () (tptp.ifeq2 @t103 @t19 @t101 @t19)) % 33.88/34.05 (define @t105 () (= tptp.true @t10)) % 33.88/34.05 (define @t106 () (= tptp.true @t77)) % 33.88/34.05 (define @t107 () (tptp.p6 @t18 @t18)) % 33.88/34.05 (define @t108 () (tptp.ifeq @t81 @t81 tptp.a tptp.b)) % 33.88/34.05 (define @t109 () (= tptp.a @t108)) % 33.88/34.05 (define @t110 () (forall @t5 (= @t1 @t7))) % 33.88/34.05 (assume @p1 @t6) % 33.88/34.05 (assume @p2 @t8) % 33.88/34.05 (assume @p3 @t12) % 33.88/34.05 (assume @p4 @t16) % 33.88/34.05 (assume @p5 (= @t19 tptp.true)) % 33.88/34.05 (assume @p6 (forall (@list @t21 @t20) (= (tptp.ifeq2 (tptp.p5 @t21 @t20) tptp.true (tptp.p6 @t21 @t20) tptp.true) tptp.true))) % 33.88/34.05 (assume @p7 @t25) % 33.88/34.05 (assume @p8 (forall @t30 (= (tptp.ifeq2 @t29 tptp.true @t28 tptp.true) tptp.true))) % 33.88/34.05 (assume @p9 @t36) % 33.88/34.05 (assume @p10 @t38) % 33.88/34.05 (assume @p11 @t45) % 33.88/34.05 (assume @p12 (forall (@list @t47 @t46) (= (tptp.ifeq2 (tptp.p2 @t47 @t46) tptp.true (tptp.p2 (tptp.f4 @t47) (tptp.f4 @t46)) tptp.true) tptp.true))) % 33.88/34.05 (assume @p13 (forall (@list @t9 @t48 @t49) (= (tptp.ifeq2 (tptp.p2 @t9 @t48) tptp.true (tptp.ifeq2 (tptp.p2 @t9 @t49) tptp.true (tptp.p2 @t49 @t48) tptp.true) tptp.true) tptp.true))) % 33.88/34.05 (assume @p14 (forall (@list @t52 @t50 @t51) (= (tptp.ifeq2 (tptp.p6 @t52 @t50) tptp.true (tptp.ifeq2 (tptp.p6 @t51 @t52) tptp.true (tptp.p6 @t51 @t50) tptp.true) tptp.true) tptp.true))) % 33.88/34.05 (assume @p15 @t62) % 33.88/34.05 (assume @p16 (forall (@list @t65 @t63 @t66 @t64) (= (tptp.ifeq2 (tptp.p2 @t65 @t63) tptp.true (tptp.ifeq2 (tptp.p2 @t66 @t64) tptp.true (tptp.ifeq2 (tptp.p6 @t66 @t65) tptp.true (tptp.p6 @t64 @t63) tptp.true) tptp.true) tptp.true) tptp.true))) % 33.88/34.05 (assume @p17 @t79) % 33.88/34.05 (assume @p18 (= (tptp.ifeq (tptp.p6 @t18 tptp.c8) tptp.true tptp.a tptp.b) tptp.b)) % 33.88/34.05 (assume @p19 (= @t82 tptp.b)) % 33.88/34.05 (assume @p20 (not (= tptp.a tptp.b))) % 33.88/34.05 (step @p21 :rule eq-symm :args (@t7 @t1)) % 33.88/34.05 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 33.88/34.05 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 33.88/34.05 (step @p24 :rule false_intro :premises (@p20)) % 33.88/34.05 (step @p25 :rule refl :args (tptp.b)) % 33.88/34.05 (step @p26 :rule refl :args (tptp.a)) % 33.88/34.05 (step @p27 :rule symm :premises (@p5)) % 33.88/34.05 (step @p28 :rule refl :args (@t81)) % 33.88/34.05 (step @p29 :rule cong :premises (@p28 @p27 @p26 @p25) :args (@t82)) % 33.88/34.05 (step @p30 :rule cong :premises (@p25 @p29) :args ((= tptp.b @t82))) % 33.88/34.05 (step @p31 :rule eq-symm :args (@t82 tptp.b)) % 33.88/34.05 (step @p32 :rule trans :premises (@p31 @p30)) % 33.88/34.05 (step @p33 :rule eq_resolve :premises (@p19 @p32)) % 33.88/34.05 (step @p34 :rule symm :premises (@p33)) % 33.88/34.05 (step @p35 :rule refl :args (@t29)) % 33.88/34.05 (step @p36 :rule refl :args (@t28)) % 33.88/34.05 (step @p37 :rule cong :premises (@p36 @p27 @p35 @p27) :args (@t37)) % 33.88/34.05 (step @p38 :rule cong :premises (@p27 @p37) :args (@t83)) % 33.88/34.05 (step @p39 :rule cong :premises (@p38) :args ((forall @t30 @t83))) % 33.88/34.05 (step @p40 :rule eq-symm :args (@t37 tptp.true)) % 33.88/34.05 (step @p41 :rule cong :premises (@p40) :args (@t38)) % 33.88/34.05 (step @p42 :rule trans :premises (@p41 @p39)) % 33.88/34.05 (step @p43 :rule eq_resolve :premises (@p10 @p42)) % 33.88/34.05 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.c7 @t80))) % 33.88/34.05 (step @p45 :rule symm :premises (@p44)) % 33.88/34.05 (step @p46 :rule refl :args (@t19)) % 33.88/34.05 (step @p47 :rule eq-symm :args (@t19 @t14)) % 33.88/34.05 (step @p48 :rule cong :premises (@p47) :args ((forall @t15 (= @t19 @t14)))) % 33.88/34.05 (step @p49 :rule refl :args (@t14)) % 33.88/34.05 (step @p50 :rule cong :premises (@p27 @p49) :args (@t84)) % 33.88/34.05 (step @p51 :rule cong :premises (@p50) :args ((forall @t15 @t84))) % 33.88/34.05 (step @p52 :rule trans :premises (@p51 @p48)) % 33.88/34.05 (step @p53 :rule eq-symm :args (@t14 tptp.true)) % 33.88/34.05 (step @p54 :rule cong :premises (@p53) :args (@t16)) % 33.88/34.05 (step @p55 :rule trans :premises (@p54 @p52)) % 33.88/34.05 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 33.88/34.05 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t18))) % 33.88/34.05 (step @p58 :rule eq-symm :args (@t4 @t1)) % 33.88/34.05 (step @p59 :rule cong :premises (@p58) :args (@t6)) % 33.88/34.05 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 33.88/34.05 (step @p61 :rule instantiate :premises (@p60) :args ((@list (tptp.p5 (tptp.f3 (tptp.f3 tptp.c8)) @t80) @t85 @t19))) % 33.88/34.05 (step @p62 :rule symm :premises (@p61)) % 33.88/34.05 (step @p63 :rule refl :args (@t85)) % 33.88/34.05 (step @p64 :rule refl :args (@t23)) % 33.88/34.05 (step @p65 :rule cong :premises (@p27 @p64) :args (@t86)) % 33.88/34.05 (step @p66 :rule cong :premises (@p65) :args ((forall @t24 @t86))) % 33.88/34.05 (step @p67 :rule eq-symm :args (@t23 tptp.true)) % 33.88/34.05 (step @p68 :rule cong :premises (@p67) :args (@t25)) % 33.88/34.05 (step @p69 :rule trans :premises (@p68 @p66)) % 33.88/34.05 (step @p70 :rule eq_resolve :premises (@p7 @p69)) % 33.88/34.05 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.c8))) % 33.88/34.05 (step @p72 :rule refl :args (@t55)) % 33.88/34.05 (step @p73 :rule refl :args (@t57)) % 33.88/34.05 (step @p74 :rule cong :premises (@p73 @p27 @p72 @p27) :args (@t58)) % 33.88/34.05 (step @p75 :rule refl :args (@t59)) % 33.88/34.05 (step @p76 :rule cong :premises (@p75 @p27 @p74 @p27) :args (@t60)) % 33.88/34.05 (step @p77 :rule cong :premises (@p27 @p76) :args (@t87)) % 33.88/34.05 (step @p78 :rule cong :premises (@p77) :args ((forall @t61 @t87))) % 33.88/34.05 (step @p79 :rule eq-symm :args (@t60 tptp.true)) % 33.88/34.05 (step @p80 :rule cong :premises (@p79) :args (@t62)) % 33.88/34.05 (step @p81 :rule trans :premises (@p80 @p78)) % 33.88/34.05 (step @p82 :rule eq_resolve :premises (@p15 @p81)) % 33.88/34.05 (step @p83 :rule instantiate :premises (@p82) :args ((@list tptp.c7 @t90 @t88))) % 33.88/34.05 (step @p84 :rule symm :premises (@p83)) % 33.88/34.05 (step @p85 :rule refl :args (@t93)) % 33.88/34.05 (step @p86 :rule instantiate :premises (@p60) :args ((@list @t95 @t94 @t19))) % 33.88/34.05 (step @p87 :rule symm :premises (@p86)) % 33.88/34.05 (step @p88 :rule refl :args (@t94)) % 33.88/34.05 (step @p89 :rule instantiate :premises (@p60) :args ((@list @t96 @t95 @t19))) % 33.88/34.05 (step @p90 :rule symm :premises (@p89)) % 33.88/34.05 (step @p91 :rule refl :args (@t95)) % 33.88/34.05 (step @p92 :rule eq-symm :args (@t96 @t19)) % 33.88/34.05 (step @p93 :rule refl :args (@t97)) % 33.88/34.05 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t97 @t98))) % 33.88/34.05 (assume-push @p190 @t97) % 33.88/34.05 (step @p96 :rule instantiate :premises (@p56) :args (@t99)) % 33.88/34.05 (step-pop @p191 :rule scope :premises (@p96)) % 33.88/34.05 (step @p97 :rule process_scope :premises (@p191) :args (@t98)) % 33.88/34.05 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 33.88/34.05 (step @p100 :rule implies_elim :premises (@p99)) % 33.88/34.05 (step @p101 :rule chain_m_resolution :premises (@p100 @p56) :args ((= @t19 @t96) (@list false) (@list @t97))) % 33.88/34.05 (step @p102 :rule refl :args (@t96)) % 33.88/34.05 (step @p103 :rule cong :premises (@p102 @p101 @p91 @p46) :args ((tptp.ifeq2 @t96 @t19 @t95 @t19))) % 33.88/34.05 (step @p104 :rule refl :args (@t32)) % 33.88/34.05 (step @p105 :rule refl :args (@t33)) % 33.88/34.05 (step @p106 :rule cong :premises (@p105 @p27 @p104 @p27) :args (@t34)) % 33.88/34.05 (step @p107 :rule cong :premises (@p27 @p106) :args (@t100)) % 33.88/34.05 (step @p108 :rule cong :premises (@p107) :args ((forall @t35 @t100))) % 33.88/34.05 (step @p109 :rule eq-symm :args (@t34 tptp.true)) % 33.88/34.05 (step @p110 :rule cong :premises (@p109) :args (@t36)) % 33.88/34.05 (step @p111 :rule trans :premises (@p110 @p108)) % 33.88/34.05 (step @p112 :rule eq_resolve :premises (@p9 @p111)) % 33.88/34.05 (step @p113 :rule instantiate :premises (@p112) :args (@t99)) % 33.88/34.05 (step @p114 :rule trans :premises (@p113 @p103 @p90)) % 33.88/34.05 (step @p115 :rule cong :premises (@p91 @p114 @p88 @p46) :args ((tptp.ifeq2 @t95 @t19 @t94 @t19))) % 33.88/34.05 (step @p116 :rule instantiate :premises (@p112) :args ((@list @t89))) % 33.88/34.05 (step @p117 :rule trans :premises (@p116 @p115 @p87)) % 33.88/34.05 (step @p118 :rule symm :premises (@p117)) % 33.88/34.05 (step @p119 :rule cong :premises (@p88 @p118 @p85 @p46) :args ((tptp.ifeq2 @t94 @t94 @t93 @t19))) % 33.88/34.05 (step @p120 :rule instantiate :premises (@p60) :args ((@list @t94 @t93 @t19))) % 33.88/34.05 (step @p121 :rule refl :args (@t91)) % 33.88/34.05 (step @p122 :rule instantiate :premises (@p70) :args (@t99)) % 33.88/34.05 (step @p123 :rule symm :premises (@p122)) % 33.88/34.05 (step @p124 :rule refl :args (@t92)) % 33.88/34.05 (step @p125 :rule cong :premises (@p124 @p123 @p121 @p46) :args ((tptp.ifeq2 @t92 @t92 @t91 @t19))) % 33.88/34.05 (step @p126 :rule instantiate :premises (@p60) :args ((@list @t92 @t91 @t19))) % 33.88/34.05 (step @p127 :rule trans :premises (@p126 @p125 @p120 @p119 @p84)) % 33.88/34.05 (step @p128 :rule trans :premises (@p127 @p71)) % 33.88/34.05 (step @p129 :rule cong :premises (@p128 @p71 @p63 @p46) :args (@t101)) % 33.88/34.05 (step @p130 :rule trans :premises (@p129 @p62)) % 33.88/34.05 (step @p131 :rule refl :args (@t41)) % 33.88/34.05 (step @p132 :rule refl :args (@t42)) % 33.88/34.05 (step @p133 :rule cong :premises (@p132 @p27 @p131 @p27) :args (@t43)) % 33.88/34.05 (step @p134 :rule cong :premises (@p27 @p133) :args (@t102)) % 33.88/34.05 (step @p135 :rule cong :premises (@p134) :args ((forall @t44 @t102))) % 33.88/34.05 (step @p136 :rule eq-symm :args (@t43 tptp.true)) % 33.88/34.05 (step @p137 :rule cong :premises (@p136) :args (@t45)) % 33.88/34.05 (step @p138 :rule trans :premises (@p137 @p135)) % 33.88/34.05 (step @p139 :rule eq_resolve :premises (@p11 @p138)) % 33.88/34.05 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t18 @t17))) % 33.88/34.05 (step @p141 :rule symm :premises (@p140)) % 33.88/34.05 (step @p142 :rule instantiate :premises (@p60) :args ((@list @t19 @t103 @t19))) % 33.88/34.05 (step @p143 :rule trans :premises (@p142 @p141)) % 33.88/34.05 (step @p144 :rule trans :premises (@p143 @p71)) % 33.88/34.05 (step @p145 :rule cong :premises (@p144 @p71 @p130 @p46) :args (@t104)) % 33.88/34.05 (step @p146 :rule trans :premises (@p145 @p62)) % 33.88/34.05 (step @p147 :rule eq-symm :args (@t19 @t10)) % 33.88/34.05 (step @p148 :rule cong :premises (@p147) :args ((forall @t11 (= @t19 @t10)))) % 33.88/34.05 (step @p149 :rule refl :args (@t10)) % 33.88/34.05 (step @p150 :rule cong :premises (@p27 @p149) :args (@t105)) % 33.88/34.05 (step @p151 :rule cong :premises (@p150) :args ((forall @t11 @t105))) % 33.88/34.05 (step @p152 :rule trans :premises (@p151 @p148)) % 33.88/34.05 (step @p153 :rule eq-symm :args (@t10 tptp.true)) % 33.88/34.05 (step @p154 :rule cong :premises (@p153) :args (@t12)) % 33.88/34.05 (step @p155 :rule trans :premises (@p154 @p152)) % 33.88/34.05 (step @p156 :rule eq_resolve :premises (@p3 @p155)) % 33.88/34.05 (step @p157 :rule instantiate :premises (@p156) :args (@t99)) % 33.88/34.05 (step @p158 :rule trans :premises (@p157 @p71)) % 33.88/34.05 (step @p159 :rule cong :premises (@p158 @p71 @p146 @p46) :args ((tptp.ifeq2 (tptp.p2 tptp.c7 tptp.c7) @t19 @t104 @t19))) % 33.88/34.05 (step @p160 :rule refl :args (@t69)) % 33.88/34.05 (step @p161 :rule refl :args (@t72)) % 33.88/34.05 (step @p162 :rule cong :premises (@p161 @p27 @p160 @p27) :args (@t73)) % 33.88/34.05 (step @p163 :rule refl :args (@t74)) % 33.88/34.05 (step @p164 :rule cong :premises (@p163 @p27 @p162 @p27) :args (@t75)) % 33.88/34.05 (step @p165 :rule refl :args (@t76)) % 33.88/34.05 (step @p166 :rule cong :premises (@p165 @p27 @p164 @p27) :args (@t77)) % 33.88/34.05 (step @p167 :rule cong :premises (@p27 @p166) :args (@t106)) % 33.88/34.05 (step @p168 :rule cong :premises (@p167) :args ((forall @t78 @t106))) % 33.88/34.05 (step @p169 :rule eq-symm :args (@t77 tptp.true)) % 33.88/34.05 (step @p170 :rule cong :premises (@p169) :args (@t79)) % 33.88/34.05 (step @p171 :rule trans :premises (@p170 @p168)) % 33.88/34.05 (step @p172 :rule eq_resolve :premises (@p17 @p171)) % 33.88/34.05 (step @p173 :rule instantiate :premises (@p172) :args ((@list tptp.c7 tptp.c7 @t88 @t80))) % 33.88/34.05 (step @p174 :rule trans :premises (@p173 @p159 @p62)) % 33.88/34.05 (step @p175 :rule trans :premises (@p57 @p174)) % 33.88/34.05 (step @p176 :rule cong :premises (@p175 @p57 @p28 @p46) :args ((tptp.ifeq2 @t107 @t107 @t81 @t19))) % 33.88/34.05 (step @p177 :rule instantiate :premises (@p60) :args ((@list @t107 @t81 @t19))) % 33.88/34.05 (step @p178 :rule trans :premises (@p177 @p176 @p45)) % 33.88/34.05 (step @p179 :rule cong :premises (@p28 @p178 @p26 @p25) :args (@t108)) % 33.88/34.05 (step @p180 :rule trans :premises (@p179 @p34)) % 33.88/34.05 (step @p181 :rule cong :premises (@p26 @p180) :args (@t109)) % 33.88/34.05 (step @p182 :rule trans :premises (@p181 @p24)) % 33.88/34.05 (step @p183 :rule false_elim :premises (@p182)) % 33.88/34.05 (assume-push @p192 @t110) % 33.88/34.05 (step @p185 :rule instantiate :premises (@p23) :args ((@list @t81 tptp.a tptp.b))) % 33.88/34.05 (step-pop @p193 :rule scope :premises (@p185)) % 33.88/34.05 (step @p186 :rule process_scope :premises (@p193) :args (@t109)) % 33.88/34.05 (step @p188 :rule implies_elim :premises (@p186)) % 33.88/34.05 (step @p189 false :rule chain_m_resolution :premises (@p188 @p183 @p23) :args (false (@list true false) (@list @t109 @t110))) % 33.88/34.05 ) % 33.88/34.05 % SZS output end Proof % 33.88/34.06 % cvc5 exiting %------------------------------------------------------------------------------