%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG026-7 : 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 : n024.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 08:45:25 AM UTC 2026 % Result : Unsatisfiable 0.24s 0.51s % Output : Proof 0.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : RNG026-7 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 08:58:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.24/0.51 % SZS status Unsatisfiable % 0.24/0.51 % SZS output start Proof % 0.24/0.51 ( % 0.24/0.51 (declare-sort $$unsorted 0) % 0.24/0.51 (declare-const tptp.c $$unsorted) % 0.24/0.51 (declare-const tptp.d $$unsorted) % 0.24/0.51 (declare-const tptp.b $$unsorted) % 0.24/0.51 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.51 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.24/0.51 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 0.24/0.51 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.51 (declare-const tptp.a $$unsorted) % 0.24/0.51 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.51 (declare-const tptp.additive_identity $$unsorted) % 0.24/0.51 (define @t1 () (@var "X" $$unsorted)) % 0.24/0.51 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 0.24/0.51 (define @t3 () (@list @t1)) % 0.24/0.51 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.24/0.51 (define @t5 () (tptp.additive_inverse @t1)) % 0.24/0.51 (define @t6 () (tptp.add @t5 @t1)) % 0.24/0.51 (define @t7 () (forall @t3 (= @t6 tptp.additive_identity))) % 0.24/0.51 (define @t8 () (tptp.add @t1 @t5)) % 0.24/0.51 (define @t9 () (forall @t3 (= @t8 tptp.additive_identity))) % 0.24/0.51 (define @t10 () (@var "Z" $$unsorted)) % 0.24/0.51 (define @t11 () (tptp.multiply @t1 @t10)) % 0.24/0.51 (define @t12 () (@var "Y" $$unsorted)) % 0.24/0.51 (define @t13 () (tptp.multiply @t1 @t12)) % 0.24/0.51 (define @t14 () (tptp.add @t12 @t10)) % 0.24/0.51 (define @t15 () (@list @t1 @t12 @t10)) % 0.24/0.51 (define @t16 () (tptp.multiply @t12 @t10)) % 0.24/0.51 (define @t17 () (tptp.add @t1 @t12)) % 0.24/0.51 (define @t18 () (@list @t1 @t12)) % 0.24/0.51 (define @t19 () (tptp.additive_inverse @t13)) % 0.24/0.51 (define @t20 () (tptp.additive_inverse @t12)) % 0.24/0.51 (define @t21 () (tptp.multiply @t5 @t12)) % 0.24/0.51 (define @t22 () (forall @t18 (= @t21 @t19))) % 0.24/0.51 (define @t23 () (tptp.multiply @t1 @t20)) % 0.24/0.51 (define @t24 () (forall @t18 (= @t23 @t19))) % 0.24/0.51 (define @t25 () (tptp.additive_inverse @t11)) % 0.24/0.51 (define @t26 () (tptp.additive_inverse @t10)) % 0.24/0.51 (define @t27 () (tptp.additive_inverse @t16)) % 0.24/0.51 (define @t28 () (tptp.associator tptp.a tptp.b tptp.c)) % 0.24/0.51 (define @t29 () (tptp.multiply @t28 tptp.d)) % 0.24/0.51 (define @t30 () (tptp.associator tptp.b tptp.c tptp.d)) % 0.24/0.51 (define @t31 () (tptp.multiply tptp.a @t30)) % 0.24/0.51 (define @t32 () (tptp.multiply tptp.b tptp.c)) % 0.24/0.51 (define @t33 () (tptp.associator tptp.a @t32 tptp.d)) % 0.24/0.51 (define @t34 () (tptp.add @t33 @t31)) % 0.24/0.51 (define @t35 () (tptp.add @t34 @t29)) % 0.24/0.51 (define @t36 () (tptp.additive_inverse @t35)) % 0.24/0.51 (define @t37 () (tptp.multiply tptp.c tptp.d)) % 0.24/0.51 (define @t38 () (tptp.associator tptp.a tptp.b @t37)) % 0.24/0.51 (define @t39 () (tptp.multiply tptp.a tptp.b)) % 0.24/0.51 (define @t40 () (tptp.associator @t39 tptp.c tptp.d)) % 0.24/0.51 (define @t41 () (tptp.add @t40 @t38)) % 0.24/0.51 (define @t42 () (tptp.add @t41 @t36)) % 0.24/0.51 (define @t43 () (tptp.multiply @t32 tptp.d)) % 0.24/0.51 (define @t44 () (tptp.multiply tptp.a @t43)) % 0.24/0.51 (define @t45 () (tptp.multiply @t39 @t37)) % 0.24/0.51 (define @t46 () (tptp.multiply tptp.b @t37)) % 0.24/0.51 (define @t47 () (tptp.additive_inverse @t46)) % 0.24/0.51 (define @t48 () (tptp.multiply tptp.a @t32)) % 0.24/0.51 (define @t49 () (tptp.additive_inverse @t48)) % 0.24/0.51 (define @t50 () (tptp.multiply @t39 tptp.c)) % 0.24/0.51 (define @t51 () (tptp.additive_inverse @t45)) % 0.24/0.51 (define @t52 () (tptp.multiply @t50 tptp.d)) % 0.24/0.51 (define @t53 () (tptp.additive_inverse (tptp.multiply tptp.a @t46))) % 0.24/0.51 (define @t54 () (tptp.additive_inverse @t44)) % 0.24/0.51 (define @t55 () (tptp.multiply @t48 tptp.d)) % 0.24/0.51 (define @t56 () (tptp.add @t40 @t45)) % 0.24/0.51 (define @t57 () (tptp.add @t54 @t31)) % 0.24/0.51 (define @t58 () (tptp.multiply tptp.a @t47)) % 0.24/0.51 (define @t59 () (tptp.additive_inverse @t55)) % 0.24/0.51 (define @t60 () (tptp.multiply @t49 tptp.d)) % 0.24/0.51 (define @t61 () (forall @t18 (= @t19 @t21))) % 0.24/0.51 (define @t62 () (= @t59 @t60)) % 0.24/0.51 (define @t63 () (= @t60 @t59)) % 0.24/0.51 (define @t64 () (tptp.add @t29 @t55)) % 0.24/0.51 (define @t65 () (tptp.add @t36 @t35)) % 0.24/0.51 (define @t66 () (= tptp.additive_identity @t65)) % 0.24/0.51 (define @t67 () (= @t42 (tptp.add @t36 @t41))) % 0.24/0.51 (define @t68 () (tptp.add @t29 @t34)) % 0.24/0.51 (define @t69 () (= @t35 @t68)) % 0.24/0.51 (define @t70 () (tptp.add @t50 @t49)) % 0.24/0.51 (define @t71 () (= @t28 @t70)) % 0.24/0.51 (define @t72 () (tptp.add @t45 @t53)) % 0.24/0.51 (define @t73 () (= @t38 @t72)) % 0.24/0.51 (define @t74 () (tptp.add @t55 @t54)) % 0.24/0.51 (define @t75 () (= @t33 @t74)) % 0.24/0.51 (define @t76 () (tptp.add @t43 @t47)) % 0.24/0.51 (define @t77 () (= @t30 @t76)) % 0.24/0.51 (define @t78 () (tptp.add @t52 @t51)) % 0.24/0.51 (define @t79 () (= @t40 @t78)) % 0.24/0.51 (define @t80 () (tptp.add @t54 @t44)) % 0.24/0.51 (define @t81 () (= tptp.additive_identity @t80)) % 0.24/0.51 (define @t82 () (tptp.add @t45 @t51)) % 0.24/0.51 (define @t83 () (= tptp.additive_identity @t82)) % 0.24/0.51 (define @t84 () (tptp.add @t44 @t58)) % 0.24/0.51 (define @t85 () (= (tptp.multiply tptp.a @t76) @t84)) % 0.24/0.51 (define @t86 () (tptp.add @t49 @t50)) % 0.24/0.51 (define @t87 () (= @t70 @t86)) % 0.24/0.51 (define @t88 () (tptp.add @t51 @t52)) % 0.24/0.51 (define @t89 () (= @t78 @t88)) % 0.24/0.51 (define @t90 () (tptp.add @t56 @t53)) % 0.24/0.51 (define @t91 () (tptp.add @t40 @t72)) % 0.24/0.51 (define @t92 () (= @t91 @t90)) % 0.24/0.51 (define @t93 () (tptp.add @t55 @t57)) % 0.24/0.51 (define @t94 () (= @t93 (tptp.add @t74 @t31))) % 0.24/0.51 (define @t95 () (= @t53 @t58)) % 0.24/0.51 (define @t96 () (= tptp.additive_identity (tptp.add @t55 @t59))) % 0.24/0.51 (define @t97 () (tptp.add @t60 @t52)) % 0.24/0.51 (define @t98 () (= (tptp.multiply @t86 tptp.d) @t97)) % 0.24/0.51 (define @t99 () (= @t56 (tptp.add @t45 @t40))) % 0.24/0.51 (define @t100 () (tptp.add @t31 @t54)) % 0.24/0.51 (define @t101 () (= @t57 @t100)) % 0.24/0.51 (define @t102 () (= @t90 (tptp.add @t53 @t56))) % 0.24/0.51 (define @t103 () (tptp.add @t64 @t57)) % 0.24/0.51 (define @t104 () (= (tptp.add @t29 @t93) @t103)) % 0.24/0.51 (define @t105 () (tptp.add @t80 @t58)) % 0.24/0.51 (define @t106 () (= (tptp.add @t54 @t84) @t105)) % 0.24/0.51 (define @t107 () (= @t58 (tptp.add tptp.additive_identity @t58))) % 0.24/0.51 (define @t108 () (tptp.add @t55 @t29)) % 0.24/0.51 (define @t109 () (= @t64 @t108)) % 0.24/0.51 (define @t110 () (tptp.add @t57 @t64)) % 0.24/0.51 (define @t111 () (= @t103 @t110)) % 0.24/0.51 (define @t112 () (tptp.add @t45 @t88)) % 0.24/0.51 (define @t113 () (= @t112 (tptp.add @t82 @t52))) % 0.24/0.51 (define @t114 () (tptp.add @t55 @t60)) % 0.24/0.51 (define @t115 () (tptp.add @t114 @t52)) % 0.24/0.51 (define @t116 () (= (tptp.add @t55 @t97) @t115)) % 0.24/0.51 (define @t117 () (= tptp.additive_identity @t42)) % 0.24/0.51 (define @t118 () (and @t66 @t67 @t69 @t71 @t73 @t75 @t77 @t79 @t81 @t83 @t85 @t87 @t89 @t92 @t94 @t95 @t96 @t98 @t99 @t101 @t102 @t104 @t106 @t63 @t107 @t109 @t111 @t113 @t116)) % 0.24/0.51 (assume @p1 @t4) % 0.24/0.51 (assume @p2 (forall @t3 (= (tptp.add @t1 tptp.additive_identity) @t1))) % 0.24/0.51 (assume @p3 (forall @t3 (= (tptp.multiply tptp.additive_identity @t1) tptp.additive_identity))) % 0.24/0.51 (assume @p4 (forall @t3 (= (tptp.multiply @t1 tptp.additive_identity) tptp.additive_identity))) % 0.24/0.51 (assume @p5 @t7) % 0.24/0.51 (assume @p6 @t9) % 0.24/0.51 (assume @p7 (forall @t3 (= (tptp.additive_inverse @t5) @t1))) % 0.24/0.51 (assume @p8 (forall @t15 (= (tptp.multiply @t1 @t14) (tptp.add @t13 @t11)))) % 0.24/0.51 (assume @p9 (forall @t15 (= (tptp.multiply @t17 @t10) (tptp.add @t11 @t16)))) % 0.24/0.51 (assume @p10 (forall @t18 (= @t17 (tptp.add @t12 @t1)))) % 0.24/0.51 (assume @p11 (forall @t15 (= (tptp.add @t1 @t14) (tptp.add @t17 @t10)))) % 0.24/0.51 (assume @p12 (forall @t18 (= (tptp.multiply @t13 @t12) (tptp.multiply @t1 (tptp.multiply @t12 @t12))))) % 0.24/0.51 (assume @p13 (forall @t18 (= (tptp.multiply (tptp.multiply @t1 @t1) @t12) (tptp.multiply @t1 @t13)))) % 0.24/0.51 (assume @p14 (forall @t15 (= (tptp.associator @t1 @t12 @t10) (tptp.add (tptp.multiply @t13 @t10) (tptp.additive_inverse (tptp.multiply @t1 @t16)))))) % 0.24/0.51 (assume @p15 (forall @t18 (= (tptp.commutator @t1 @t12) (tptp.add (tptp.multiply @t12 @t1) @t19)))) % 0.24/0.51 (assume @p16 (forall @t18 (= (tptp.multiply @t5 @t20) @t13))) % 0.24/0.51 (assume @p17 @t22) % 0.24/0.51 (assume @p18 @t24) % 0.24/0.51 (assume @p19 (forall @t15 (= (tptp.multiply @t1 (tptp.add @t12 @t26)) (tptp.add @t13 @t25)))) % 0.24/0.51 (assume @p20 (forall @t15 (= (tptp.multiply (tptp.add @t1 @t20) @t10) (tptp.add @t11 @t27)))) % 0.24/0.51 (assume @p21 (forall @t15 (= (tptp.multiply @t5 @t14) (tptp.add @t19 @t25)))) % 0.24/0.51 (assume @p22 (forall @t15 (= (tptp.multiply @t17 @t26) (tptp.add @t25 @t27)))) % 0.24/0.51 (assume @p23 (not (= @t42 tptp.additive_identity))) % 0.24/0.51 (step @p24 :rule symm :premises (@p23)) % 0.24/0.51 (step @p25 :rule eq-symm :args (@t6 tptp.additive_identity)) % 0.24/0.51 (step @p26 :rule cong :premises (@p25) :args (@t7)) % 0.24/0.51 (step @p27 :rule eq_resolve :premises (@p5 @p26)) % 0.24/0.51 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t35))) % 0.24/0.51 (step @p29 :rule instantiate :premises (@p10) :args ((@list @t41 @t36))) % 0.24/0.51 (step @p30 :rule instantiate :premises (@p10) :args ((@list @t34 @t29))) % 0.24/0.51 (step @p31 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.b tptp.c))) % 0.24/0.51 (step @p32 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.b @t37))) % 0.24/0.51 (step @p33 :rule instantiate :premises (@p14) :args ((@list tptp.a @t32 tptp.d))) % 0.24/0.51 (step @p34 :rule instantiate :premises (@p14) :args ((@list tptp.b tptp.c tptp.d))) % 0.24/0.51 (step @p35 :rule instantiate :premises (@p14) :args ((@list @t39 tptp.c tptp.d))) % 0.24/0.51 (step @p36 :rule instantiate :premises (@p27) :args ((@list @t44))) % 0.24/0.51 (step @p37 :rule eq-symm :args (@t8 tptp.additive_identity)) % 0.24/0.51 (step @p38 :rule cong :premises (@p37) :args (@t9)) % 0.24/0.51 (step @p39 :rule eq_resolve :premises (@p6 @p38)) % 0.24/0.51 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t45))) % 0.24/0.51 (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.a @t43 @t47))) % 0.24/0.51 (step @p42 :rule instantiate :premises (@p10) :args ((@list @t50 @t49))) % 0.24/0.51 (step @p43 :rule instantiate :premises (@p10) :args ((@list @t52 @t51))) % 0.24/0.51 (step @p44 :rule instantiate :premises (@p11) :args ((@list @t40 @t45 @t53))) % 0.24/0.51 (step @p45 :rule instantiate :premises (@p11) :args ((@list @t55 @t54 @t31))) % 0.24/0.51 (step @p46 :rule eq-symm :args (@t23 @t19)) % 0.24/0.51 (step @p47 :rule cong :premises (@p46) :args (@t24)) % 0.24/0.51 (step @p48 :rule eq_resolve :premises (@p18 @p47)) % 0.24/0.51 (step @p49 :rule instantiate :premises (@p48) :args ((@list tptp.a @t46))) % 0.24/0.51 (step @p50 :rule instantiate :premises (@p39) :args ((@list @t55))) % 0.24/0.51 (step @p51 :rule instantiate :premises (@p9) :args ((@list @t49 @t50 tptp.d))) % 0.24/0.51 (step @p52 :rule instantiate :premises (@p10) :args ((@list @t40 @t45))) % 0.24/0.51 (step @p53 :rule instantiate :premises (@p10) :args ((@list @t54 @t31))) % 0.24/0.51 (step @p54 :rule instantiate :premises (@p10) :args ((@list @t56 @t53))) % 0.24/0.51 (step @p55 :rule instantiate :premises (@p11) :args ((@list @t29 @t55 @t57))) % 0.24/0.51 (step @p56 :rule instantiate :premises (@p11) :args ((@list @t54 @t44 @t58))) % 0.24/0.51 (step @p57 :rule eq-symm :args (@t21 @t19)) % 0.24/0.51 (step @p58 :rule cong :premises (@p57) :args (@t22)) % 0.24/0.51 (step @p59 :rule eq_resolve :premises (@p17 @p58)) % 0.24/0.51 (step @p60 :rule eq-symm :args (@t59 @t60)) % 0.24/0.51 (step @p61 :rule refl :args (@t61)) % 0.24/0.51 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t61 @t62))) % 0.24/0.51 (assume-push @p194 @t61) % 0.24/0.51 (step @p64 :rule instantiate :premises (@p59) :args ((@list @t48 tptp.d))) % 0.24/0.51 (step-pop @p195 :rule scope :premises (@p64)) % 0.24/0.51 (step @p65 :rule process_scope :premises (@p195) :args (@t62)) % 0.24/0.51 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.24/0.51 (step @p68 :rule implies_elim :premises (@p67)) % 0.24/0.51 (step @p69 :rule chain_m_resolution :premises (@p68 @p59) :args (@t63 (@list false) (@list @t61))) % 0.24/0.51 (step @p70 :rule eq-symm :args (@t2 @t1)) % 0.24/0.51 (step @p71 :rule cong :premises (@p70) :args (@t4)) % 0.24/0.51 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 0.24/0.51 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t58))) % 0.24/0.51 (step @p74 :rule instantiate :premises (@p10) :args ((@list @t29 @t55))) % 0.24/0.51 (step @p75 :rule instantiate :premises (@p10) :args ((@list @t64 @t57))) % 0.24/0.51 (step @p76 :rule instantiate :premises (@p11) :args ((@list @t45 @t51 @t52))) % 0.24/0.51 (step @p77 :rule instantiate :premises (@p11) :args ((@list @t55 @t60 @t52))) % 0.24/0.51 (assume-push @p196 @t66) % 0.24/0.51 (assume-push @p197 @t67) % 0.24/0.51 (assume-push @p198 @t69) % 0.24/0.51 (assume-push @p199 @t71) % 0.24/0.51 (assume-push @p200 @t73) % 0.24/0.51 (assume-push @p201 @t75) % 0.24/0.51 (assume-push @p202 @t77) % 0.24/0.51 (assume-push @p203 @t79) % 0.24/0.51 (assume-push @p204 @t81) % 0.24/0.51 (assume-push @p205 @t83) % 0.24/0.51 (assume-push @p206 @t85) % 0.24/0.51 (assume-push @p207 @t87) % 0.24/0.51 (assume-push @p208 @t89) % 0.24/0.51 (assume-push @p209 @t92) % 0.24/0.51 (assume-push @p210 @t94) % 0.24/0.51 (assume-push @p211 @t95) % 0.24/0.51 (assume-push @p212 @t96) % 0.24/0.51 (assume-push @p213 @t98) % 0.24/0.51 (assume-push @p214 @t99) % 0.24/0.51 (assume-push @p215 @t101) % 0.24/0.51 (assume-push @p216 @t102) % 0.24/0.51 (assume-push @p217 @t104) % 0.24/0.51 (assume-push @p218 @t106) % 0.24/0.51 (assume-push @p219 @t63) % 0.24/0.51 (assume-push @p220 @t107) % 0.24/0.51 (assume-push @p221 @t109) % 0.24/0.51 (assume-push @p222 @t111) % 0.24/0.51 (assume-push @p223 @t113) % 0.24/0.51 (assume-push @p224 @t116) % 0.24/0.51 (step @p107 :rule symm :premises (@p29)) % 0.24/0.51 (step @p108 :rule symm :premises (@p32)) % 0.24/0.51 (step @p109 :rule refl :args (@t40)) % 0.24/0.51 (step @p110 :rule cong :premises (@p109 @p108) :args (@t91)) % 0.24/0.51 (step @p111 :rule symm :premises (@p44)) % 0.24/0.51 (step @p112 :rule symm :premises (@p54)) % 0.24/0.51 (step @p113 :rule symm :premises (@p52)) % 0.24/0.51 (step @p114 :rule symm :premises (@p35)) % 0.24/0.51 (step @p115 :rule symm :premises (@p43)) % 0.24/0.51 (step @p116 :rule trans :premises (@p115 @p114)) % 0.24/0.51 (step @p117 :rule refl :args (@t45)) % 0.24/0.51 (step @p118 :rule cong :premises (@p117 @p116) :args (@t112)) % 0.24/0.51 (step @p119 :rule symm :premises (@p76)) % 0.24/0.51 (step @p120 :rule refl :args (@t52)) % 0.24/0.51 (step @p121 :rule symm :premises (@p36)) % 0.24/0.51 (step @p122 :rule trans :premises (@p121 @p40)) % 0.24/0.51 (step @p123 :rule symm :premises (@p50)) % 0.24/0.51 (step @p124 :rule refl :args (@t55)) % 0.24/0.51 (step @p125 :rule cong :premises (@p124 @p69) :args (@t114)) % 0.24/0.51 (step @p126 :rule trans :premises (@p125 @p123 @p36)) % 0.24/0.51 (step @p127 :rule trans :premises (@p126 @p122)) % 0.24/0.51 (step @p128 :rule cong :premises (@p127 @p120) :args (@t115)) % 0.24/0.51 (step @p129 :rule refl :args (tptp.d)) % 0.24/0.51 (step @p130 :rule cong :premises (@p42 @p129) :args ((tptp.multiply @t70 tptp.d))) % 0.24/0.51 (step @p131 :rule cong :premises (@p31 @p129) :args (@t29)) % 0.24/0.51 (step @p132 :rule trans :premises (@p131 @p130 @p51)) % 0.24/0.51 (step @p133 :rule cong :premises (@p124 @p132) :args (@t108)) % 0.24/0.51 (step @p134 :rule trans :premises (@p133 @p77 @p128 @p119 @p118 @p113)) % 0.24/0.51 (step @p135 :rule symm :premises (@p49)) % 0.24/0.51 (step @p136 :rule symm :premises (@p73)) % 0.24/0.51 (step @p137 :rule refl :args (@t58)) % 0.24/0.51 (step @p138 :rule cong :premises (@p121 @p137) :args (@t105)) % 0.24/0.51 (step @p139 :rule refl :args (tptp.a)) % 0.24/0.51 (step @p140 :rule cong :premises (@p139 @p34) :args (@t31)) % 0.24/0.51 (step @p141 :rule trans :premises (@p140 @p41)) % 0.24/0.51 (step @p142 :rule refl :args (@t54)) % 0.24/0.51 (step @p143 :rule cong :premises (@p142 @p141) :args (@t57)) % 0.24/0.51 (step @p144 :rule trans :premises (@p143 @p56 @p138 @p136 @p135)) % 0.24/0.51 (step @p145 :rule symm :premises (@p53)) % 0.24/0.51 (step @p146 :rule trans :premises (@p145 @p144)) % 0.24/0.51 (step @p147 :rule cong :premises (@p146 @p134) :args ((tptp.add @t100 @t108))) % 0.24/0.51 (step @p148 :rule cong :premises (@p53 @p74) :args (@t110)) % 0.24/0.51 (step @p149 :rule symm :premises (@p45)) % 0.24/0.51 (step @p150 :rule refl :args (@t31)) % 0.24/0.51 (step @p151 :rule cong :premises (@p33 @p150) :args (@t34)) % 0.24/0.51 (step @p152 :rule trans :premises (@p151 @p149)) % 0.24/0.51 (step @p153 :rule refl :args (@t29)) % 0.24/0.51 (step @p154 :rule cong :premises (@p153 @p152) :args (@t68)) % 0.24/0.51 (step @p155 :rule trans :premises (@p30 @p154 @p55 @p75 @p148 @p147 @p112 @p111 @p110)) % 0.24/0.51 (step @p156 :rule refl :args (@t36)) % 0.24/0.51 (step @p157 :rule cong :premises (@p156 @p155) :args (@t65)) % 0.24/0.51 (step @p158 :rule trans :premises (@p28 @p157 @p107)) % 0.24/0.51 (step-pop @p225 :rule scope :premises (@p158)) % 0.24/0.51 (step-pop @p226 :rule scope :premises (@p225)) % 0.24/0.51 (step-pop @p227 :rule scope :premises (@p226)) % 0.24/0.51 (step-pop @p228 :rule scope :premises (@p227)) % 0.24/0.51 (step-pop @p229 :rule scope :premises (@p228)) % 0.24/0.51 (step-pop @p230 :rule scope :premises (@p229)) % 0.24/0.51 (step-pop @p231 :rule scope :premises (@p230)) % 0.24/0.51 (step-pop @p232 :rule scope :premises (@p231)) % 0.24/0.51 (step-pop @p233 :rule scope :premises (@p232)) % 0.24/0.51 (step-pop @p234 :rule scope :premises (@p233)) % 0.24/0.51 (step-pop @p235 :rule scope :premises (@p234)) % 0.24/0.51 (step-pop @p236 :rule scope :premises (@p235)) % 0.24/0.51 (step-pop @p237 :rule scope :premises (@p236)) % 0.24/0.51 (step-pop @p238 :rule scope :premises (@p237)) % 0.24/0.51 (step-pop @p239 :rule scope :premises (@p238)) % 0.24/0.51 (step-pop @p240 :rule scope :premises (@p239)) % 0.24/0.51 (step-pop @p241 :rule scope :premises (@p240)) % 0.24/0.51 (step-pop @p242 :rule scope :premises (@p241)) % 0.24/0.51 (step-pop @p243 :rule scope :premises (@p242)) % 0.24/0.51 (step-pop @p244 :rule scope :premises (@p243)) % 0.24/0.51 (step-pop @p245 :rule scope :premises (@p244)) % 0.24/0.51 (step-pop @p246 :rule scope :premises (@p245)) % 0.24/0.51 (step-pop @p247 :rule scope :premises (@p246)) % 0.24/0.51 (step-pop @p248 :rule scope :premises (@p247)) % 0.24/0.51 (step-pop @p249 :rule scope :premises (@p248)) % 0.24/0.51 (step-pop @p250 :rule scope :premises (@p249)) % 0.24/0.51 (step-pop @p251 :rule scope :premises (@p250)) % 0.24/0.51 (step-pop @p252 :rule scope :premises (@p251)) % 0.24/0.51 (step-pop @p253 :rule scope :premises (@p252)) % 0.24/0.51 (step @p159 :rule process_scope :premises (@p253) :args (@t117)) % 0.24/0.51 (step @p189 :rule implies_elim :premises (@p159)) % 0.24/0.51 (step @p190 :rule cnf_and_neg :args (@t118)) % 0.24/0.51 (step @p191 :rule resolution :premises (@p190 @p189) :args (true @t118)) % 0.24/0.51 (step @p192 :rule reordering :premises (@p191) :args ((or @t117 (not @t66) (not @t67) (not @t69) (not @t71) (not @t73) (not @t75) (not @t77) (not @t79) (not @t81) (not @t83) (not @t85) (not @t87) (not @t89) (not @t92) (not @t94) (not @t95) (not @t96) (not @t98) (not @t99) (not @t101) (not @t102) (not @t104) (not @t106) (not @t63) (not @t107) (not @t109) (not @t111) (not @t113) (not @t116)))) % 0.24/0.51 (step @p193 false :rule chain_m_resolution :premises (@p192 @p77 @p76 @p75 @p74 @p73 @p69 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p24) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t116 @t113 @t111 @t109 @t107 @t63 @t106 @t104 @t102 @t101 @t99 @t98 @t96 @t95 @t94 @t92 @t89 @t87 @t85 @t83 @t81 @t79 @t77 @t75 @t73 @t71 @t69 @t67 @t66 @t117))) % 0.24/0.51 ) % 0.24/0.52 % SZS output end Proof % 0.24/0.52 % cvc5 exiting %------------------------------------------------------------------------------