%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX222-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:07:24 AM UTC 2026 % Result : Unsatisfiable 159.47s 159.77s % Output : Proof 159.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX222-1 : TPTP v9.3.0. Released v9.3.0. % 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 : n023.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 23:11:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 21.50/21.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.49/27.79 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.61/33.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.65/63.91 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.69/78.94 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.67/112.02 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.38/127.66 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.46/157.73 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 159.47/159.77 % SZS status Unsatisfiable % 159.47/159.77 % SZS output start Proof % 159.47/159.77 ( % 159.47/159.77 (declare-sort $$unsorted 0) % 159.47/159.77 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.c $$unsorted) % 159.47/159.77 (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.tc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.var (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.lam (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.a $$unsorted) % 159.47/159.77 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.b $$unsorted) % 159.47/159.77 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.just (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.btrue $$unsorted) % 159.47/159.77 (declare-const tptp.nf (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.nothing $$unsorted) % 159.47/159.77 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.bfalse $$unsorted) % 159.47/159.77 (declare-const tptp.zero $$unsorted) % 159.47/159.77 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.nil $$unsorted) % 159.47/159.77 (declare-const tptp.sat_synth_nf_k (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.index (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.eq4 (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.notb (-> $$unsorted $$unsorted)) % 159.47/159.77 (declare-const tptp.andb (-> $$unsorted $$unsorted $$unsorted)) % 159.47/159.77 (define @t1 () (@var "X3" $$unsorted)) % 159.47/159.77 (define @t2 () (@var "Z" $$unsorted)) % 159.47/159.77 (define @t3 () (@var "X" $$unsorted)) % 159.47/159.77 (define @t4 () (@var "Tx3" $$unsorted)) % 159.47/159.77 (define @t5 () (forall (@list @t3 @t2 @t1 @t4) (= (tptp.aux @t3 @t2 @t1 (tptp.just @t4)) (tptp.eq @t4 @t2)))) % 159.47/159.77 (define @t6 () (tptp.notb tptp.btrue)) % 159.47/159.77 (define @t7 () (@var "Y" $$unsorted)) % 159.47/159.77 (define @t8 () (@var "Xs" $$unsorted)) % 159.47/159.77 (define @t9 () (tptp.cons @t2 @t8)) % 159.47/159.77 (define @t10 () (forall (@list @t2 @t8) (= (tptp.index @t9 tptp.zero) (tptp.just @t2)))) % 159.47/159.77 (define @t11 () (@var "N" $$unsorted)) % 159.47/159.77 (define @t12 () (@var "Q" $$unsorted)) % 159.47/159.77 (define @t13 () (tptp.andb tptp.btrue @t12)) % 159.47/159.77 (define @t14 () (@list @t12)) % 159.47/159.77 (define @t15 () (forall @t14 (= @t13 @t12))) % 159.47/159.77 (define @t16 () (@var "X2" $$unsorted)) % 159.47/159.77 (define @t17 () (tptp.nf @t2)) % 159.47/159.77 (define @t18 () (@var "X4" $$unsorted)) % 159.47/159.77 (define @t19 () (tptp.app @t3 @t1 @t18)) % 159.47/159.77 (define @t20 () (tptp.var @t3)) % 159.47/159.77 (define @t21 () (@var "E" $$unsorted)) % 159.47/159.77 (define @t22 () (tptp.lam @t21)) % 159.47/159.77 (define @t23 () (forall (@list @t21) (= (tptp.nf @t22) (tptp.nf @t21)))) % 159.47/159.77 (define @t24 () (tptp.nf (tptp.var @t18))) % 159.47/159.77 (define @t25 () (forall (@list @t18) (= @t24 tptp.btrue))) % 159.47/159.77 (define @t26 () (@var "Tx" $$unsorted)) % 159.47/159.77 (define @t27 () (@var "F" $$unsorted)) % 159.47/159.77 (define @t28 () (@var "T1" $$unsorted)) % 159.47/159.77 (define @t29 () (@var "Tx2" $$unsorted)) % 159.47/159.77 (define @t30 () (@list @t3 @t21)) % 159.47/159.77 (define @t31 () (tptp.arr tptp.b tptp.b)) % 159.47/159.77 (define @t32 () (tptp.arr tptp.a @t31)) % 159.47/159.77 (define @t33 () (tptp.sat_synth_nf_k @t3)) % 159.47/159.77 (define @t34 () (@list @t3)) % 159.47/159.77 (define @t35 () (tptp.eq2 @t3 @t7)) % 159.47/159.77 (define @t36 () (tptp.suc @t3)) % 159.47/159.77 (define @t37 () (@list @t3 @t7)) % 159.47/159.77 (define @t38 () (tptp.arr @t3 @t7)) % 159.47/159.77 (define @t39 () (tptp.eq @t38 (tptp.arr @t2 @t16))) % 159.47/159.77 (define @t40 () (tptp.eq @t3 @t2)) % 159.47/159.77 (define @t41 () (@list @t3 @t2 @t7 @t16)) % 159.47/159.77 (define @t42 () (tptp.app @t3 @t7 @t2)) % 159.47/159.77 (define @t43 () (tptp.eq3 @t42 (tptp.app @t16 @t1 @t18))) % 159.47/159.77 (define @t44 () (= @t43 tptp.bfalse)) % 159.47/159.77 (define @t45 () (tptp.eq3 @t3 @t16)) % 159.47/159.77 (define @t46 () (not (= @t45 tptp.btrue))) % 159.47/159.77 (define @t47 () (tptp.eq3 @t7 @t1)) % 159.47/159.77 (define @t48 () (tptp.lam @t7)) % 159.47/159.77 (define @t49 () (tptp.lam @t3)) % 159.47/159.77 (define @t50 () (tptp.var @t7)) % 159.47/159.77 (define @t51 () (@list @t3 @t7 @t2 @t16)) % 159.47/159.77 (define @t52 () (tptp.app @t7 @t2 @t16)) % 159.47/159.77 (define @t53 () (tptp.eq @t3 @t3)) % 159.47/159.77 (define @t54 () (forall @t34 (= @t53 tptp.btrue))) % 159.47/159.77 (define @t55 () (tptp.eq4 @t3 @t3)) % 159.47/159.77 (define @t56 () (forall @t34 (= @t55 tptp.btrue))) % 159.47/159.77 (define @t57 () (tptp.eq4 @t33 tptp.bfalse)) % 159.47/159.77 (define @t58 () (not (= @t57 tptp.btrue))) % 159.47/159.77 (define @t59 () (forall @t34 @t58)) % 159.47/159.77 (define @t60 () (tptp.var tptp.zero)) % 159.47/159.77 (define @t61 () (tptp.lam @t60)) % 159.47/159.77 (define @t62 () (tptp.nf @t61)) % 159.47/159.77 (define @t63 () (tptp.nf @t60)) % 159.47/159.77 (define @t64 () (= @t62 @t63)) % 159.47/159.77 (define @t65 () (@list @t60)) % 159.47/159.77 (define @t66 () (= @t63 @t62)) % 159.47/159.77 (define @t67 () (@list false)) % 159.47/159.77 (define @t68 () (@list @t23)) % 159.47/159.77 (define @t69 () (tptp.cons tptp.a tptp.nil)) % 159.47/159.77 (define @t70 () (tptp.cons tptp.b @t69)) % 159.47/159.77 (define @t71 () (tptp.index @t70 tptp.zero)) % 159.47/159.77 (define @t72 () (tptp.just tptp.b)) % 159.47/159.77 (define @t73 () (= @t71 @t72)) % 159.47/159.77 (define @t74 () (@list tptp.b @t69)) % 159.47/159.77 (define @t75 () (= @t72 @t71)) % 159.47/159.77 (define @t76 () (tptp.lam @t61)) % 159.47/159.77 (define @t77 () (tptp.nf @t76)) % 159.47/159.77 (define @t78 () (= @t77 @t62)) % 159.47/159.77 (define @t79 () (@list @t61)) % 159.47/159.77 (define @t80 () (= @t62 @t77)) % 159.47/159.77 (define @t81 () (@list @t76)) % 159.47/159.77 (define @t82 () (tptp.tc tptp.nil @t76 @t32)) % 159.47/159.77 (define @t83 () (= tptp.btrue @t57)) % 159.47/159.77 (define @t84 () (not @t83)) % 159.47/159.77 (define @t85 () (tptp.sat_synth_nf_k @t76)) % 159.47/159.77 (define @t86 () (tptp.aux @t70 tptp.b tptp.zero @t72)) % 159.47/159.77 (define @t87 () (tptp.eq tptp.b tptp.b)) % 159.47/159.77 (define @t88 () (= @t86 @t87)) % 159.47/159.77 (define @t89 () (@list @t70 tptp.b tptp.zero tptp.b)) % 159.47/159.77 (define @t90 () (= @t87 @t86)) % 159.47/159.77 (define @t91 () (= tptp.btrue @t63)) % 159.47/159.77 (define @t92 () (= tptp.btrue @t87)) % 159.47/159.77 (define @t93 () (tptp.tc @t69 @t61 @t31)) % 159.47/159.77 (define @t94 () (= @t82 @t93)) % 159.47/159.77 (define @t95 () (tptp.andb @t77 @t82)) % 159.47/159.77 (define @t96 () (tptp.notb @t95)) % 159.47/159.77 (define @t97 () (= @t85 @t96)) % 159.47/159.77 (define @t98 () (= @t82 (tptp.andb tptp.btrue @t82))) % 159.47/159.77 (define @t99 () (tptp.tc @t70 @t60 tptp.b)) % 159.47/159.77 (define @t100 () (= @t93 @t99)) % 159.47/159.77 (define @t101 () (tptp.aux @t70 tptp.b tptp.zero @t71)) % 159.47/159.77 (define @t102 () (= @t99 @t101)) % 159.47/159.77 (define @t103 () (tptp.eq4 @t85 @t85)) % 159.47/159.77 (define @t104 () (= tptp.btrue @t103)) % 159.47/159.77 (define @t105 () (= tptp.btrue (tptp.eq4 @t85 @t6))) % 159.47/159.77 (define @t106 () (and @t91 @t66 @t92 @t75 @t80 @t94 @t97 @t98 @t100 @t102 @t104 @t90)) % 159.47/159.77 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.aux @t3 @t2 @t1 tptp.nothing) tptp.bfalse))) % 159.47/159.77 (assume @p2 @t5) % 159.47/159.77 (assume @p3 (= @t6 tptp.bfalse)) % 159.47/159.77 (assume @p4 (= (tptp.notb tptp.bfalse) tptp.btrue)) % 159.47/159.77 (assume @p5 (forall (@list @t7) (= (tptp.index tptp.nil @t7) tptp.nothing))) % 159.47/159.77 (assume @p6 @t10) % 159.47/159.77 (assume @p7 (forall (@list @t2 @t8 @t11) (= (tptp.index @t9 (tptp.suc @t11)) (tptp.index @t8 @t11)))) % 159.47/159.77 (assume @p8 @t15) % 159.47/159.77 (assume @p9 (forall @t14 (= (tptp.andb tptp.bfalse @t12) tptp.bfalse))) % 159.47/159.77 (assume @p10 (forall (@list @t1 @t2 @t16) (= (tptp.nf (tptp.app (tptp.lam @t1) @t2 @t16)) tptp.bfalse))) % 159.47/159.77 (assume @p11 (forall (@list @t3 @t1 @t18 @t2 @t16) (= (tptp.nf (tptp.app @t19 @t2 @t16)) (tptp.andb (tptp.nf @t19) @t17)))) % 159.47/159.77 (assume @p12 (forall (@list @t3 @t2 @t16) (= (tptp.nf (tptp.app @t20 @t2 @t16)) (tptp.andb (tptp.nf @t20) @t17)))) % 159.47/159.77 (assume @p13 @t23) % 159.47/159.77 (assume @p14 @t25) % 159.47/159.77 (assume @p15 (forall (@list @t3 @t27 @t16 @t26 @t2) (= (tptp.tc @t3 (tptp.app @t27 @t16 @t26) @t2) (tptp.andb (tptp.tc @t3 @t27 (tptp.arr @t26 @t2)) (tptp.tc @t3 @t16 @t26))))) % 159.47/159.77 (assume @p16 (forall (@list @t3 @t21 @t29 @t28) (= (tptp.tc @t3 @t22 (tptp.arr @t29 @t28)) (tptp.tc (tptp.cons @t29 @t3) @t21 @t28)))) % 159.47/159.77 (assume @p17 (forall @t30 (= (tptp.tc @t3 @t22 tptp.a) tptp.bfalse))) % 159.47/159.77 (assume @p18 (forall @t30 (= (tptp.tc @t3 @t22 tptp.b) tptp.bfalse))) % 159.47/159.77 (assume @p19 (forall @t30 (= (tptp.tc @t3 @t22 tptp.c) tptp.bfalse))) % 159.47/159.77 (assume @p20 (forall (@list @t3 @t1 @t2) (= (tptp.tc @t3 (tptp.var @t1) @t2) (tptp.aux @t3 @t2 @t1 (tptp.index @t3 @t1))))) % 159.47/159.77 (assume @p21 (forall @t34 (= @t33 (tptp.notb (tptp.andb (tptp.nf @t3) (tptp.tc tptp.nil @t3 @t32)))))) % 159.47/159.77 (assume @p22 (= (tptp.eq tptp.a tptp.b) tptp.bfalse)) % 159.47/159.77 (assume @p23 (= (tptp.eq tptp.a tptp.c) tptp.bfalse)) % 159.47/159.77 (assume @p24 (= (tptp.eq tptp.b tptp.a) tptp.bfalse)) % 159.47/159.77 (assume @p25 (= (tptp.eq tptp.b tptp.c) tptp.bfalse)) % 159.47/159.77 (assume @p26 (= (tptp.eq tptp.c tptp.a) tptp.bfalse)) % 159.47/159.77 (assume @p27 (= (tptp.eq tptp.c tptp.b) tptp.bfalse)) % 159.47/159.77 (assume @p28 (= (tptp.eq4 tptp.bfalse tptp.btrue) tptp.bfalse)) % 159.47/159.77 (assume @p29 (= (tptp.eq4 tptp.btrue tptp.bfalse) tptp.bfalse)) % 159.47/159.77 (assume @p30 (forall @t37 (= (tptp.eq2 @t36 (tptp.suc @t7)) @t35))) % 159.47/159.77 (assume @p31 (forall @t34 (= (tptp.eq2 tptp.zero @t36) tptp.bfalse))) % 159.47/159.77 (assume @p32 (forall @t34 (= (tptp.eq2 @t36 tptp.zero) tptp.bfalse))) % 159.47/159.77 (assume @p33 (forall @t41 (or (not (= @t40 tptp.bfalse)) (= @t39 tptp.bfalse)))) % 159.47/159.77 (assume @p34 (forall @t41 (or (not (= @t40 tptp.btrue)) (= @t39 (tptp.eq @t7 @t16))))) % 159.47/159.77 (assume @p35 (forall @t37 (= (tptp.eq @t38 tptp.a) tptp.bfalse))) % 159.47/159.77 (assume @p36 (forall @t37 (= (tptp.eq @t38 tptp.b) tptp.bfalse))) % 159.47/159.77 (assume @p37 (forall @t37 (= (tptp.eq @t38 tptp.c) tptp.bfalse))) % 159.47/159.77 (assume @p38 (forall @t37 (= (tptp.eq tptp.a @t38) tptp.bfalse))) % 159.47/159.77 (assume @p39 (forall @t37 (= (tptp.eq tptp.b @t38) tptp.bfalse))) % 159.47/159.77 (assume @p40 (forall @t37 (= (tptp.eq tptp.c @t38) tptp.bfalse))) % 159.47/159.77 (assume @p41 (forall (@list @t3 @t16 @t7 @t2 @t1 @t18) (or (not (= @t45 tptp.bfalse)) @t44))) % 159.47/159.77 (assume @p42 (forall (@list @t7 @t1 @t3 @t16 @t2 @t18) (or (not (= @t47 tptp.bfalse)) @t46 @t44))) % 159.47/159.77 (assume @p43 (forall (@list @t3 @t16 @t7 @t1 @t2 @t18) (or @t46 (not (= @t47 tptp.btrue)) (= @t43 (tptp.eq @t2 @t18))))) % 159.47/159.77 (assume @p44 (forall @t37 (= (tptp.eq3 @t49 @t48) (tptp.eq3 @t3 @t7)))) % 159.47/159.77 (assume @p45 (forall @t37 (= (tptp.eq3 @t20 @t50) @t35))) % 159.47/159.77 (assume @p46 (forall @t51 (= (tptp.eq3 @t42 (tptp.lam @t16)) tptp.bfalse))) % 159.47/159.77 (assume @p47 (forall @t51 (= (tptp.eq3 @t42 (tptp.var @t16)) tptp.bfalse))) % 159.47/159.77 (assume @p48 (forall @t51 (= (tptp.eq3 @t49 @t52) tptp.bfalse))) % 159.47/159.77 (assume @p49 (forall @t37 (= (tptp.eq3 @t49 @t50) tptp.bfalse))) % 159.47/159.77 (assume @p50 (forall @t51 (= (tptp.eq3 @t20 @t52) tptp.bfalse))) % 159.47/159.77 (assume @p51 (forall @t37 (= (tptp.eq3 @t20 @t48) tptp.bfalse))) % 159.47/159.77 (assume @p52 @t54) % 159.47/159.77 (assume @p53 (forall @t34 (= (tptp.eq2 @t3 @t3) tptp.btrue))) % 159.47/159.77 (assume @p54 (forall @t34 (= (tptp.eq3 @t3 @t3) tptp.btrue))) % 159.47/159.77 (assume @p55 @t56) % 159.47/159.77 (assume @p56 @t59) % 159.47/159.77 (step @p57 :rule eq-symm :args (@t24 tptp.btrue)) % 159.47/159.77 (step @p58 :rule cong :premises (@p57) :args (@t25)) % 159.47/159.77 (step @p59 :rule eq_resolve :premises (@p14 @p58)) % 159.47/159.77 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.zero))) % 159.47/159.77 (step @p61 :rule eq-symm :args (@t62 @t63)) % 159.47/159.77 (step @p62 :rule refl :args (@t23)) % 159.47/159.77 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t23 @t64))) % 159.47/159.77 (assume-push @p176 @t23) % 159.47/159.77 (step @p65 :rule instantiate :premises (@p13) :args (@t65)) % 159.47/159.77 (step-pop @p177 :rule scope :premises (@p65)) % 159.47/159.77 (step @p66 :rule process_scope :premises (@p177) :args (@t64)) % 159.47/159.77 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 159.47/159.77 (step @p69 :rule implies_elim :premises (@p68)) % 159.47/159.77 (step @p70 :rule chain_m_resolution :premises (@p69 @p13) :args (@t66 @t67 @t68)) % 159.47/159.77 (step @p71 :rule eq-symm :args (@t53 tptp.btrue)) % 159.47/159.77 (step @p72 :rule cong :premises (@p71) :args (@t54)) % 159.47/159.77 (step @p73 :rule eq_resolve :premises (@p52 @p72)) % 159.47/159.77 (step @p74 :rule instantiate :premises (@p73) :args ((@list tptp.b))) % 159.47/159.77 (step @p75 :rule eq-symm :args (@t71 @t72)) % 159.47/159.77 (step @p76 :rule refl :args (@t10)) % 159.47/159.77 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t10 @t73))) % 159.47/159.77 (assume-push @p178 @t10) % 159.47/159.77 (step @p79 :rule instantiate :premises (@p6) :args (@t74)) % 159.47/159.77 (step-pop @p179 :rule scope :premises (@p79)) % 159.47/159.77 (step @p80 :rule process_scope :premises (@p179) :args (@t73)) % 159.47/159.77 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 159.47/159.77 (step @p83 :rule implies_elim :premises (@p82)) % 159.47/159.77 (step @p84 :rule chain_m_resolution :premises (@p83 @p6) :args (@t75 @t67 (@list @t10))) % 159.47/159.77 (step @p85 :rule eq-symm :args (@t77 @t62)) % 159.47/159.77 (step @p86 :rule cong :premises (@p62 @p85) :args ((=> @t23 @t78))) % 159.47/159.77 (assume-push @p180 @t23) % 159.47/159.77 (step @p88 :rule instantiate :premises (@p13) :args (@t79)) % 159.47/159.78 (step-pop @p181 :rule scope :premises (@p88)) % 159.47/159.78 (step @p89 :rule process_scope :premises (@p181) :args (@t78)) % 159.47/159.78 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 159.47/159.78 (step @p92 :rule implies_elim :premises (@p91)) % 159.47/159.78 (step @p93 :rule chain_m_resolution :premises (@p92 @p13) :args (@t80 @t67 @t68)) % 159.47/159.78 (step @p94 :rule instantiate :premises (@p16) :args ((@list tptp.nil @t61 tptp.a @t31))) % 159.47/159.78 (step @p95 :rule instantiate :premises (@p21) :args (@t81)) % 159.47/159.78 (step @p96 :rule eq-symm :args (@t13 @t12)) % 159.47/159.78 (step @p97 :rule cong :premises (@p96) :args (@t15)) % 159.47/159.78 (step @p98 :rule eq_resolve :premises (@p8 @p97)) % 159.47/159.78 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t82))) % 159.47/159.78 (step @p100 :rule instantiate :premises (@p16) :args ((@list @t69 @t60 tptp.b tptp.b))) % 159.47/159.78 (step @p101 :rule symm :premises (@p3)) % 159.47/159.78 (step @p102 :rule refl :args (@t33)) % 159.47/159.78 (step @p103 :rule cong :premises (@p102 @p101) :args (@t57)) % 159.47/159.78 (step @p104 :rule refl :args (tptp.btrue)) % 159.47/159.78 (step @p105 :rule cong :premises (@p104 @p103) :args (@t83)) % 159.47/159.78 (step @p106 :rule cong :premises (@p105) :args (@t84)) % 159.47/159.78 (step @p107 :rule cong :premises (@p106) :args ((forall @t34 @t84))) % 159.47/159.78 (step @p108 :rule eq-symm :args (@t57 tptp.btrue)) % 159.47/159.78 (step @p109 :rule cong :premises (@p108) :args (@t58)) % 159.47/159.78 (step @p110 :rule cong :premises (@p109) :args (@t59)) % 159.47/159.78 (step @p111 :rule trans :premises (@p110 @p107)) % 159.47/159.78 (step @p112 :rule eq_resolve :premises (@p56 @p111)) % 159.47/159.78 (step @p113 :rule instantiate :premises (@p112) :args (@t81)) % 159.47/159.78 (step @p114 :rule instantiate :premises (@p20) :args ((@list @t70 tptp.zero tptp.b))) % 159.47/159.78 (step @p115 :rule eq-symm :args (@t55 tptp.btrue)) % 159.47/159.78 (step @p116 :rule cong :premises (@p115) :args (@t56)) % 159.47/159.78 (step @p117 :rule eq_resolve :premises (@p55 @p116)) % 159.47/159.78 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t85))) % 159.47/159.78 (step @p119 :rule eq-symm :args (@t86 @t87)) % 159.47/159.78 (step @p120 :rule refl :args (@t5)) % 159.47/159.78 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t5 @t88))) % 159.47/159.78 (assume-push @p182 @t5) % 159.47/159.78 (step @p123 :rule instantiate :premises (@p2) :args (@t89)) % 159.47/159.78 (step-pop @p183 :rule scope :premises (@p123)) % 159.47/159.78 (step @p124 :rule process_scope :premises (@p183) :args (@t88)) % 159.47/159.78 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 159.47/159.78 (step @p127 :rule implies_elim :premises (@p126)) % 159.47/159.78 (step @p128 :rule chain_m_resolution :premises (@p127 @p2) :args (@t90 @t67 (@list @t5))) % 159.47/159.78 (assume-push @p184 @t91) % 159.47/159.78 (assume-push @p185 @t66) % 159.47/159.78 (assume-push @p186 @t92) % 159.47/159.78 (assume-push @p187 @t75) % 159.47/159.78 (assume-push @p188 @t80) % 159.47/159.78 (assume-push @p189 @t94) % 159.47/159.78 (assume-push @p190 @t97) % 159.47/159.78 (assume-push @p191 @t98) % 159.47/159.78 (assume-push @p192 @t100) % 159.47/159.78 (assume-push @p193 @t102) % 159.47/159.78 (assume-push @p194 @t104) % 159.47/159.78 (assume-push @p195 @t90) % 159.47/159.78 (step @p141 :rule symm :premises (@p74)) % 159.47/159.78 (step @p123 :rule instantiate :premises (@p2) :args (@t89)) % 159.47/159.78 (step @p79 :rule instantiate :premises (@p6) :args (@t74)) % 159.47/159.78 (step @p142 :rule refl :args (tptp.zero)) % 159.47/159.78 (step @p143 :rule refl :args (tptp.b)) % 159.47/159.78 (step @p144 :rule refl :args (@t70)) % 159.47/159.78 (step @p145 :rule cong :premises (@p144 @p143 @p142 @p79) :args (@t101)) % 159.47/159.78 (step @p146 :rule symm :premises (@p99)) % 159.47/159.78 (step @p147 :rule refl :args (@t82)) % 159.47/159.78 (step @p148 :rule symm :premises (@p60)) % 159.47/159.78 (step @p65 :rule instantiate :premises (@p13) :args (@t65)) % 159.47/159.78 (step @p88 :rule instantiate :premises (@p13) :args (@t79)) % 159.47/159.78 (step @p149 :rule trans :premises (@p88 @p65)) % 159.47/159.78 (step @p150 :rule trans :premises (@p149 @p148)) % 159.47/159.78 (step @p151 :rule cong :premises (@p150 @p147) :args (@t95)) % 159.47/159.78 (step @p152 :rule trans :premises (@p151 @p146 @p94 @p100 @p114 @p145 @p123 @p141)) % 159.47/159.78 (step @p153 :rule cong :premises (@p152) :args (@t96)) % 159.47/159.78 (step @p154 :rule trans :premises (@p95 @p153)) % 159.47/159.78 (step @p155 :rule refl :args (@t85)) % 159.47/159.78 (step @p156 :rule cong :premises (@p155 @p154) :args (@t103)) % 159.47/159.78 (step @p157 :rule trans :premises (@p118 @p156)) % 159.47/159.78 (step-pop @p196 :rule scope :premises (@p157)) % 159.47/159.78 (step-pop @p197 :rule scope :premises (@p196)) % 159.47/159.78 (step-pop @p198 :rule scope :premises (@p197)) % 159.47/159.78 (step-pop @p199 :rule scope :premises (@p198)) % 159.47/159.78 (step-pop @p200 :rule scope :premises (@p199)) % 159.47/159.78 (step-pop @p201 :rule scope :premises (@p200)) % 159.47/159.78 (step-pop @p202 :rule scope :premises (@p201)) % 159.47/159.78 (step-pop @p203 :rule scope :premises (@p202)) % 159.47/159.78 (step-pop @p204 :rule scope :premises (@p203)) % 159.47/159.78 (step-pop @p205 :rule scope :premises (@p204)) % 159.47/159.78 (step-pop @p206 :rule scope :premises (@p205)) % 159.47/159.78 (step-pop @p207 :rule scope :premises (@p206)) % 159.47/159.78 (step @p158 :rule process_scope :premises (@p207) :args (@t105)) % 159.47/159.78 (step @p171 :rule implies_elim :premises (@p158)) % 159.47/159.78 (step @p172 :rule cnf_and_neg :args (@t106)) % 159.47/159.78 (step @p173 :rule resolution :premises (@p172 @p171) :args (true @t106)) % 159.47/159.78 (step @p174 :rule reordering :premises (@p173) :args ((or (not @t91) (not @t66) (not @t92) (not @t75) (not @t80) (not @t94) (not @t97) (not @t98) @t105 (not @t100) (not @t102) (not @t104) (not @t90)))) % 159.47/159.78 (step @p175 false :rule chain_m_resolution :premises (@p174 @p128 @p118 @p114 @p113 @p100 @p99 @p95 @p94 @p93 @p84 @p74 @p70 @p60) :args (false (@list false false false true false false false false false false false false false) (@list @t90 @t104 @t102 @t105 @t100 @t98 @t97 @t94 @t80 @t75 @t92 @t66 @t91))) % 159.47/159.78 ) % 159.47/159.78 % SZS output end Proof % 159.47/159.78 % cvc5 exiting %------------------------------------------------------------------------------