%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG012-6 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:45:22 AM UTC 2026 % Result : Unsatisfiable 1.12s 1.34s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : RNG012-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 13:56:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.34 % SZS status Unsatisfiable % 1.12/1.34 % SZS output start Proof % 1.12/1.35 ( % 1.12/1.35 (declare-sort $$unsorted 0) % 1.12/1.35 (declare-const tptp.a $$unsorted) % 1.12/1.35 (declare-const tptp.b $$unsorted) % 1.12/1.35 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.35 (declare-const tptp.additive_identity $$unsorted) % 1.12/1.35 (define @t1 () (@var "X" $$unsorted)) % 1.12/1.35 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 1.12/1.35 (define @t3 () (@list @t1)) % 1.12/1.35 (define @t4 () (forall @t3 (= @t2 @t1))) % 1.12/1.35 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 1.12/1.35 (define @t6 () (forall @t3 (= @t5 @t1))) % 1.12/1.35 (define @t7 () (tptp.multiply tptp.additive_identity @t1)) % 1.12/1.35 (define @t8 () (forall @t3 (= @t7 tptp.additive_identity))) % 1.12/1.35 (define @t9 () (tptp.multiply @t1 tptp.additive_identity)) % 1.12/1.35 (define @t10 () (forall @t3 (= @t9 tptp.additive_identity))) % 1.12/1.35 (define @t11 () (tptp.additive_inverse @t1)) % 1.12/1.35 (define @t12 () (tptp.add @t11 @t1)) % 1.12/1.35 (define @t13 () (forall @t3 (= @t12 tptp.additive_identity))) % 1.12/1.35 (define @t14 () (tptp.add @t1 @t11)) % 1.12/1.35 (define @t15 () (forall @t3 (= @t14 tptp.additive_identity))) % 1.12/1.35 (define @t16 () (@var "Z" $$unsorted)) % 1.12/1.35 (define @t17 () (tptp.multiply @t1 @t16)) % 1.12/1.35 (define @t18 () (@var "Y" $$unsorted)) % 1.12/1.35 (define @t19 () (tptp.multiply @t1 @t18)) % 1.12/1.35 (define @t20 () (tptp.add @t18 @t16)) % 1.12/1.35 (define @t21 () (@list @t1 @t18 @t16)) % 1.12/1.35 (define @t22 () (tptp.multiply @t18 @t16)) % 1.12/1.35 (define @t23 () (tptp.add @t1 @t18)) % 1.12/1.35 (define @t24 () (@list @t1 @t18)) % 1.12/1.35 (define @t25 () (tptp.multiply tptp.a tptp.b)) % 1.12/1.35 (define @t26 () (tptp.additive_inverse tptp.b)) % 1.12/1.35 (define @t27 () (tptp.additive_inverse tptp.a)) % 1.12/1.35 (define @t28 () (tptp.multiply @t27 @t26)) % 1.12/1.35 (define @t29 () (= @t28 @t25)) % 1.12/1.35 (define @t30 () (@list tptp.a)) % 1.12/1.35 (define @t31 () (@list tptp.b)) % 1.12/1.35 (define @t32 () (tptp.multiply tptp.b tptp.a)) % 1.12/1.35 (define @t33 () (tptp.multiply @t26 @t27)) % 1.12/1.35 (define @t34 () (@list tptp.additive_identity)) % 1.12/1.35 (define @t35 () (tptp.additive_inverse @t33)) % 1.12/1.35 (define @t36 () (tptp.add @t35 tptp.additive_identity)) % 1.12/1.35 (define @t37 () (tptp.add @t36 tptp.a)) % 1.12/1.35 (define @t38 () (tptp.add tptp.additive_identity @t27)) % 1.12/1.35 (define @t39 () (tptp.multiply tptp.b tptp.additive_identity)) % 1.12/1.35 (define @t40 () (tptp.multiply tptp.additive_identity tptp.b)) % 1.12/1.35 (define @t41 () (tptp.additive_inverse @t32)) % 1.12/1.35 (define @t42 () (tptp.add @t41 @t39)) % 1.12/1.35 (define @t43 () (tptp.multiply @t38 tptp.b)) % 1.12/1.35 (define @t44 () (tptp.multiply tptp.b @t37)) % 1.12/1.35 (define @t45 () (tptp.multiply tptp.b @t33)) % 1.12/1.35 (define @t46 () (tptp.add @t25 @t42)) % 1.12/1.35 (define @t47 () (tptp.add @t40 @t43)) % 1.12/1.35 (define @t48 () (tptp.add @t25 @t41)) % 1.12/1.35 (define @t49 () (tptp.add @t44 @t39)) % 1.12/1.35 (define @t50 () (tptp.add tptp.additive_identity @t26)) % 1.12/1.35 (define @t51 () (tptp.add tptp.additive_identity tptp.b)) % 1.12/1.35 (define @t52 () (tptp.add tptp.a @t27)) % 1.12/1.35 (define @t53 () (= tptp.additive_identity @t52)) % 1.12/1.35 (define @t54 () (= tptp.additive_identity (tptp.add tptp.b @t26))) % 1.12/1.35 (define @t55 () (= tptp.additive_identity (tptp.add @t41 @t32))) % 1.12/1.35 (define @t56 () (tptp.add @t33 @t35)) % 1.12/1.35 (define @t57 () (= tptp.additive_identity @t56)) % 1.12/1.35 (define @t58 () (= tptp.additive_identity (tptp.add tptp.additive_identity tptp.additive_identity))) % 1.12/1.35 (define @t59 () (tptp.add tptp.additive_identity (tptp.additive_inverse tptp.additive_identity))) % 1.12/1.35 (define @t60 () (= tptp.additive_identity @t59)) % 1.12/1.35 (define @t61 () (tptp.add tptp.a tptp.additive_identity)) % 1.12/1.35 (define @t62 () (tptp.add tptp.additive_identity tptp.a)) % 1.12/1.35 (define @t63 () (= @t62 @t61)) % 1.12/1.35 (define @t64 () (= tptp.a @t62)) % 1.12/1.35 (define @t65 () (tptp.add @t56 tptp.additive_identity)) % 1.12/1.35 (define @t66 () (tptp.add @t33 @t36)) % 1.12/1.35 (define @t67 () (= @t66 @t65)) % 1.12/1.35 (define @t68 () (tptp.add @t39 @t32)) % 1.12/1.35 (define @t69 () (tptp.multiply tptp.b @t62)) % 1.12/1.35 (define @t70 () (= @t69 @t68)) % 1.12/1.35 (define @t71 () (tptp.add @t40 @t25)) % 1.12/1.35 (define @t72 () (tptp.multiply @t62 tptp.b)) % 1.12/1.35 (define @t73 () (= @t72 @t71)) % 1.12/1.35 (define @t74 () (tptp.add tptp.a @t38)) % 1.12/1.35 (define @t75 () (= @t74 (tptp.add @t61 @t27))) % 1.12/1.35 (define @t76 () (tptp.add @t66 tptp.a)) % 1.12/1.35 (define @t77 () (tptp.add @t33 @t37)) % 1.12/1.35 (define @t78 () (= @t77 @t76)) % 1.12/1.35 (define @t79 () (= @t27 @t38)) % 1.12/1.35 (define @t80 () (= tptp.additive_identity @t40)) % 1.12/1.35 (define @t81 () (= tptp.additive_identity @t39)) % 1.12/1.35 (define @t82 () (tptp.add @t45 @t44)) % 1.12/1.35 (define @t83 () (tptp.multiply tptp.b @t77)) % 1.12/1.35 (define @t84 () (= @t83 @t82)) % 1.12/1.35 (define @t85 () (tptp.add @t25 @t43)) % 1.12/1.35 (define @t86 () (= (tptp.multiply @t74 tptp.b) @t85)) % 1.12/1.35 (define @t87 () (= @t68 (tptp.add @t32 @t39))) % 1.12/1.35 (define @t88 () (tptp.add @t25 @t40)) % 1.12/1.35 (define @t89 () (= @t71 @t88)) % 1.12/1.35 (define @t90 () (tptp.add @t42 @t32)) % 1.12/1.35 (define @t91 () (tptp.add @t41 @t68)) % 1.12/1.35 (define @t92 () (= @t91 @t90)) % 1.12/1.35 (define @t93 () (tptp.add @t28 tptp.additive_identity)) % 1.12/1.35 (define @t94 () (= @t28 @t93)) % 1.12/1.35 (define @t95 () (tptp.add @t41 tptp.additive_identity)) % 1.12/1.35 (define @t96 () (= @t41 @t95)) % 1.12/1.35 (define @t97 () (tptp.multiply @t38 tptp.additive_identity)) % 1.12/1.35 (define @t98 () (= tptp.additive_identity @t97)) % 1.12/1.35 (define @t99 () (tptp.add tptp.additive_identity @t28)) % 1.12/1.35 (define @t100 () (= @t93 @t99)) % 1.12/1.35 (define @t101 () (tptp.add @t46 @t32)) % 1.12/1.35 (define @t102 () (tptp.add @t25 @t90)) % 1.12/1.35 (define @t103 () (= @t102 @t101)) % 1.12/1.35 (define @t104 () (tptp.add @t25 @t47)) % 1.12/1.35 (define @t105 () (= @t104 (tptp.add @t88 @t43))) % 1.12/1.35 (define @t106 () (tptp.add @t82 @t39)) % 1.12/1.35 (define @t107 () (tptp.add @t45 @t49)) % 1.12/1.35 (define @t108 () (= @t107 @t106)) % 1.12/1.35 (define @t109 () (tptp.add tptp.additive_identity @t43)) % 1.12/1.35 (define @t110 () (= @t43 @t109)) % 1.12/1.35 (define @t111 () (tptp.multiply @t38 @t50)) % 1.12/1.35 (define @t112 () (= @t111 (tptp.add @t97 (tptp.multiply @t38 @t26)))) % 1.12/1.35 (define @t113 () (tptp.multiply @t38 @t51)) % 1.12/1.35 (define @t114 () (= @t113 (tptp.add @t97 @t43))) % 1.12/1.35 (define @t115 () (= @t101 (tptp.add @t32 @t46))) % 1.12/1.35 (define @t116 () (tptp.add @t47 @t28)) % 1.12/1.35 (define @t117 () (tptp.add @t25 @t116)) % 1.12/1.35 (define @t118 () (= @t117 (tptp.add @t104 @t28))) % 1.12/1.35 (define @t119 () (tptp.add @t107 @t48)) % 1.12/1.35 (define @t120 () (tptp.add @t45 (tptp.add @t49 @t48))) % 1.12/1.35 (define @t121 () (= @t120 @t119)) % 1.12/1.35 (define @t122 () (= tptp.b @t51)) % 1.12/1.35 (define @t123 () (= @t26 @t50)) % 1.12/1.35 (define @t124 () (tptp.add @t51 @t50)) % 1.12/1.35 (define @t125 () (tptp.multiply @t38 @t124)) % 1.12/1.35 (define @t126 () (= @t125 (tptp.add @t113 @t111))) % 1.12/1.35 (define @t127 () (tptp.add @t41 @t40)) % 1.12/1.35 (define @t128 () (and @t53 @t54 @t55 @t57 @t58 @t60 @t63 @t64 @t67 @t70 @t73 @t75 @t78 @t79 @t80 @t81 @t84 @t86 @t87 @t89 @t92 @t94 @t96 @t98 @t100 @t103 @t105 @t108 @t110 @t112 @t114 @t115 @t118 @t121 @t122 @t123 @t126)) % 1.12/1.35 (assume @p1 @t4) % 1.12/1.35 (assume @p2 @t6) % 1.12/1.35 (assume @p3 @t8) % 1.12/1.35 (assume @p4 @t10) % 1.12/1.35 (assume @p5 @t13) % 1.12/1.35 (assume @p6 @t15) % 1.12/1.35 (assume @p7 (forall @t3 (= (tptp.additive_inverse @t11) @t1))) % 1.12/1.35 (assume @p8 (forall @t21 (= (tptp.multiply @t1 @t20) (tptp.add @t19 @t17)))) % 1.12/1.35 (assume @p9 (forall @t21 (= (tptp.multiply @t23 @t16) (tptp.add @t17 @t22)))) % 1.12/1.35 (assume @p10 (forall @t24 (= @t23 (tptp.add @t18 @t1)))) % 1.12/1.35 (assume @p11 (forall @t21 (= (tptp.add @t1 @t20) (tptp.add @t23 @t16)))) % 1.12/1.35 (assume @p12 (forall @t24 (= (tptp.multiply @t19 @t18) (tptp.multiply @t1 (tptp.multiply @t18 @t18))))) % 1.12/1.35 (assume @p13 (forall @t24 (= (tptp.multiply (tptp.multiply @t1 @t1) @t18) (tptp.multiply @t1 @t19)))) % 1.12/1.35 (assume @p14 (forall @t21 (= (tptp.associator @t1 @t18 @t16) (tptp.add (tptp.multiply @t19 @t16) (tptp.additive_inverse (tptp.multiply @t1 @t22)))))) % 1.12/1.35 (assume @p15 (forall @t24 (= (tptp.commutator @t1 @t18) (tptp.add (tptp.multiply @t18 @t1) (tptp.additive_inverse @t19))))) % 1.12/1.35 (assume @p16 (not @t29)) % 1.12/1.35 (step @p17 :rule eq-symm :args (@t14 tptp.additive_identity)) % 1.12/1.35 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 1.12/1.35 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 1.12/1.35 (step @p20 :rule instantiate :premises (@p19) :args (@t30)) % 1.12/1.35 (step @p21 :rule instantiate :premises (@p19) :args (@t31)) % 1.12/1.35 (step @p22 :rule eq-symm :args (@t12 tptp.additive_identity)) % 1.12/1.35 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 1.12/1.35 (step @p24 :rule eq_resolve :premises (@p5 @p23)) % 1.12/1.35 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t32))) % 1.12/1.35 (step @p26 :rule instantiate :premises (@p19) :args ((@list @t33))) % 1.12/1.35 (step @p27 :rule eq-symm :args (@t2 @t1)) % 1.12/1.35 (step @p28 :rule cong :premises (@p27) :args (@t4)) % 1.12/1.35 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 1.12/1.35 (step @p30 :rule instantiate :premises (@p29) :args (@t34)) % 1.12/1.35 (step @p31 :rule instantiate :premises (@p19) :args (@t34)) % 1.12/1.35 (step @p32 :rule instantiate :premises (@p10) :args ((@list tptp.additive_identity tptp.a))) % 1.12/1.35 (step @p33 :rule instantiate :premises (@p29) :args (@t30)) % 1.12/1.35 (step @p34 :rule instantiate :premises (@p11) :args ((@list @t33 @t35 tptp.additive_identity))) % 1.12/1.35 (step @p35 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.additive_identity tptp.a))) % 1.12/1.35 (step @p36 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity tptp.a tptp.b))) % 1.12/1.35 (step @p37 :rule instantiate :premises (@p11) :args ((@list tptp.a tptp.additive_identity @t27))) % 1.12/1.35 (step @p38 :rule instantiate :premises (@p11) :args ((@list @t33 @t36 tptp.a))) % 1.12/1.35 (step @p39 :rule instantiate :premises (@p29) :args ((@list @t27))) % 1.12/1.35 (step @p40 :rule eq-symm :args (@t7 tptp.additive_identity)) % 1.12/1.35 (step @p41 :rule cong :premises (@p40) :args (@t8)) % 1.12/1.35 (step @p42 :rule eq_resolve :premises (@p3 @p41)) % 1.12/1.35 (step @p43 :rule instantiate :premises (@p42) :args (@t31)) % 1.12/1.35 (step @p44 :rule eq-symm :args (@t9 tptp.additive_identity)) % 1.12/1.35 (step @p45 :rule cong :premises (@p44) :args (@t10)) % 1.12/1.35 (step @p46 :rule eq_resolve :premises (@p4 @p45)) % 1.12/1.35 (step @p47 :rule instantiate :premises (@p46) :args (@t31)) % 1.12/1.35 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.b @t33 @t37))) % 1.12/1.35 (step @p49 :rule instantiate :premises (@p9) :args ((@list tptp.a @t38 tptp.b))) % 1.12/1.35 (step @p50 :rule instantiate :premises (@p10) :args ((@list @t39 @t32))) % 1.12/1.35 (step @p51 :rule instantiate :premises (@p10) :args ((@list @t40 @t25))) % 1.12/1.35 (step @p52 :rule instantiate :premises (@p11) :args ((@list @t41 @t39 @t32))) % 1.12/1.35 (step @p53 :rule eq-symm :args (@t5 @t1)) % 1.12/1.35 (step @p54 :rule cong :premises (@p53) :args (@t6)) % 1.12/1.35 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 1.12/1.35 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t28))) % 1.12/1.35 (step @p57 :rule instantiate :premises (@p55) :args ((@list @t41))) % 1.12/1.35 (step @p58 :rule instantiate :premises (@p46) :args ((@list @t38))) % 1.12/1.35 (step @p59 :rule instantiate :premises (@p10) :args ((@list @t28 tptp.additive_identity))) % 1.12/1.35 (step @p60 :rule instantiate :premises (@p11) :args ((@list @t25 @t42 @t32))) % 1.12/1.35 (step @p61 :rule instantiate :premises (@p11) :args ((@list @t25 @t40 @t43))) % 1.12/1.35 (step @p62 :rule instantiate :premises (@p11) :args ((@list @t45 @t44 @t39))) % 1.12/1.35 (step @p63 :rule instantiate :premises (@p29) :args ((@list @t43))) % 1.12/1.35 (step @p64 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.additive_identity @t26))) % 1.12/1.35 (step @p65 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.additive_identity tptp.b))) % 1.12/1.35 (step @p66 :rule instantiate :premises (@p10) :args ((@list @t46 @t32))) % 1.12/1.35 (step @p67 :rule instantiate :premises (@p11) :args ((@list @t25 @t47 @t28))) % 1.12/1.35 (step @p68 :rule instantiate :premises (@p11) :args ((@list @t45 @t49 @t48))) % 1.12/1.35 (step @p69 :rule instantiate :premises (@p29) :args (@t31)) % 1.12/1.35 (step @p70 :rule instantiate :premises (@p29) :args ((@list @t26))) % 1.12/1.35 (step @p71 :rule instantiate :premises (@p8) :args ((@list @t38 @t51 @t50))) % 1.12/1.35 (assume-push @p246 @t53) % 1.12/1.35 (assume-push @p247 @t54) % 1.12/1.35 (assume-push @p248 @t55) % 1.12/1.35 (assume-push @p249 @t57) % 1.12/1.35 (assume-push @p250 @t58) % 1.12/1.35 (assume-push @p251 @t60) % 1.12/1.35 (assume-push @p252 @t63) % 1.12/1.35 (assume-push @p253 @t64) % 1.12/1.35 (assume-push @p254 @t67) % 1.12/1.35 (assume-push @p255 @t70) % 1.12/1.35 (assume-push @p256 @t73) % 1.12/1.35 (assume-push @p257 @t75) % 1.12/1.35 (assume-push @p258 @t78) % 1.12/1.35 (assume-push @p259 @t79) % 1.12/1.35 (assume-push @p260 @t80) % 1.12/1.35 (assume-push @p261 @t81) % 1.12/1.35 (assume-push @p262 @t84) % 1.12/1.35 (assume-push @p263 @t86) % 1.12/1.35 (assume-push @p264 @t87) % 1.12/1.35 (assume-push @p265 @t89) % 1.12/1.35 (assume-push @p266 @t92) % 1.12/1.35 (assume-push @p267 @t94) % 1.12/1.35 (assume-push @p268 @t96) % 1.12/1.35 (assume-push @p269 @t98) % 1.12/1.35 (assume-push @p270 @t100) % 1.12/1.35 (assume-push @p271 @t103) % 1.12/1.35 (assume-push @p272 @t105) % 1.12/1.35 (assume-push @p273 @t108) % 1.12/1.35 (assume-push @p274 @t110) % 1.12/1.35 (assume-push @p275 @t112) % 1.12/1.35 (assume-push @p276 @t114) % 1.12/1.35 (assume-push @p277 @t115) % 1.12/1.35 (assume-push @p278 @t118) % 1.12/1.35 (assume-push @p279 @t121) % 1.12/1.35 (assume-push @p280 @t122) % 1.12/1.35 (assume-push @p281 @t123) % 1.12/1.35 (assume-push @p282 @t126) % 1.12/1.35 (step @p109 :rule refl :args (tptp.b)) % 1.12/1.35 (step @p110 :rule symm :premises (@p33)) % 1.12/1.35 (step @p111 :rule cong :premises (@p110 @p109) :args (@t72)) % 1.12/1.35 (step @p112 :rule symm :premises (@p36)) % 1.12/1.35 (step @p113 :rule symm :premises (@p51)) % 1.12/1.35 (step @p114 :rule symm :premises (@p58)) % 1.12/1.35 (step @p115 :rule symm :premises (@p21)) % 1.12/1.35 (step @p116 :rule symm :premises (@p70)) % 1.12/1.35 (step @p117 :rule symm :premises (@p69)) % 1.12/1.35 (step @p118 :rule cong :premises (@p117 @p116) :args (@t124)) % 1.12/1.35 (step @p119 :rule trans :premises (@p118 @p115)) % 1.12/1.35 (step @p120 :rule refl :args (@t38)) % 1.12/1.35 (step @p121 :rule cong :premises (@p120 @p119) :args (@t125)) % 1.12/1.35 (step @p122 :rule symm :premises (@p71)) % 1.12/1.35 (step @p123 :rule symm :premises (@p64)) % 1.12/1.35 (step @p124 :rule refl :args (@t26)) % 1.12/1.35 (step @p125 :rule cong :premises (@p39 @p124) :args (@t28)) % 1.12/1.35 (step @p126 :rule cong :premises (@p58 @p125) :args (@t99)) % 1.12/1.35 (step @p127 :rule trans :premises (@p56 @p59 @p126 @p123)) % 1.12/1.35 (step @p128 :rule symm :premises (@p65)) % 1.12/1.35 (step @p129 :rule refl :args (@t43)) % 1.12/1.35 (step @p130 :rule symm :premises (@p43)) % 1.12/1.35 (step @p131 :rule trans :premises (@p130 @p58)) % 1.12/1.35 (step @p132 :rule cong :premises (@p131 @p129) :args (@t47)) % 1.12/1.35 (step @p133 :rule cong :premises (@p43 @p129) :args (@t109)) % 1.12/1.35 (step @p134 :rule trans :premises (@p63 @p133 @p132 @p128)) % 1.12/1.35 (step @p135 :rule symm :premises (@p63)) % 1.12/1.35 (step @p136 :rule symm :premises (@p133)) % 1.12/1.35 (step @p137 :rule trans :premises (@p136 @p135)) % 1.12/1.35 (step @p138 :rule trans :premises (@p137 @p134)) % 1.12/1.35 (step @p139 :rule cong :premises (@p138 @p127) :args (@t116)) % 1.12/1.35 (step @p140 :rule trans :premises (@p139 @p122 @p121 @p114 @p43)) % 1.12/1.35 (step @p141 :rule symm :premises (@p25)) % 1.12/1.35 (step @p142 :rule cong :premises (@p109 @p110) :args (@t69)) % 1.12/1.35 (step @p143 :rule symm :premises (@p35)) % 1.12/1.35 (step @p144 :rule trans :premises (@p143 @p142)) % 1.12/1.35 (step @p145 :rule refl :args (@t41)) % 1.12/1.35 (step @p146 :rule cong :premises (@p145 @p144) :args (@t91)) % 1.12/1.35 (step @p147 :rule symm :premises (@p52)) % 1.12/1.35 (step @p148 :rule trans :premises (@p147 @p146 @p141 @p43)) % 1.12/1.35 (step @p149 :rule refl :args (@t25)) % 1.12/1.35 (step @p150 :rule cong :premises (@p149 @p148) :args (@t102)) % 1.12/1.35 (step @p151 :rule symm :premises (@p60)) % 1.12/1.35 (step @p152 :rule symm :premises (@p66)) % 1.12/1.35 (step @p153 :rule trans :premises (@p130 @p47)) % 1.12/1.35 (step @p154 :rule cong :premises (@p145 @p153) :args (@t127)) % 1.12/1.35 (step @p155 :rule cong :premises (@p149 @p154) :args ((tptp.add @t25 @t127))) % 1.12/1.35 (step @p156 :rule cong :premises (@p145 @p43) :args (@t95)) % 1.12/1.35 (step @p157 :rule trans :premises (@p57 @p156)) % 1.12/1.35 (step @p158 :rule trans :premises (@p113 @p112 @p111)) % 1.12/1.35 (step @p159 :rule cong :premises (@p158 @p157) :args ((tptp.add @t88 @t41))) % 1.12/1.35 (step @p160 :rule symm :premises (@p158)) % 1.12/1.35 (step @p161 :rule cong :premises (@p160 @p145) :args (@t48)) % 1.12/1.35 (step @p162 :rule trans :premises (@p161 @p159 @p155)) % 1.12/1.35 (step @p163 :rule refl :args (@t32)) % 1.12/1.35 (step @p164 :rule cong :premises (@p163 @p162) :args ((tptp.add @t32 @t48))) % 1.12/1.35 (step @p165 :rule refl :args (@t48)) % 1.12/1.35 (step @p166 :rule symm :premises (@p50)) % 1.12/1.35 (step @p167 :rule refl :args (@t39)) % 1.12/1.35 (step @p168 :rule refl :args (tptp.a)) % 1.12/1.35 (step @p169 :rule symm :premises (@p31)) % 1.12/1.35 (step @p170 :rule cong :premises (@p169 @p168) :args ((tptp.add @t59 tptp.a))) % 1.12/1.35 (step @p171 :rule symm :premises (@p30)) % 1.12/1.35 (step @p172 :rule refl :args (tptp.additive_identity)) % 1.12/1.35 (step @p173 :rule symm :premises (@p26)) % 1.12/1.35 (step @p174 :rule cong :premises (@p173 @p172) :args (@t65)) % 1.12/1.35 (step @p175 :rule trans :premises (@p34 @p174 @p171)) % 1.12/1.35 (step @p176 :rule trans :premises (@p175 @p31)) % 1.12/1.35 (step @p177 :rule cong :premises (@p176 @p168) :args (@t76)) % 1.12/1.35 (step @p178 :rule trans :premises (@p38 @p177 @p170 @p110)) % 1.12/1.35 (step @p179 :rule cong :premises (@p109 @p178) :args (@t83)) % 1.12/1.35 (step @p180 :rule symm :premises (@p48)) % 1.12/1.35 (step @p181 :rule trans :premises (@p180 @p179)) % 1.12/1.35 (step @p182 :rule cong :premises (@p181 @p167) :args (@t106)) % 1.12/1.35 (step @p183 :rule trans :premises (@p62 @p182 @p166 @p143 @p142)) % 1.12/1.35 (step @p184 :rule cong :premises (@p183 @p165) :args (@t119)) % 1.12/1.35 (step @p185 :rule trans :premises (@p68 @p184 @p164 @p152 @p151 @p150 @p113 @p112 @p111)) % 1.12/1.35 (step @p186 :rule cong :premises (@p185 @p140) :args ((tptp.add @t120 @t116))) % 1.12/1.35 (step @p187 :rule refl :args (@t116)) % 1.12/1.35 (step @p188 :rule symm :premises (@p185)) % 1.12/1.35 (step @p189 :rule cong :premises (@p188 @p187) :args (@t117)) % 1.12/1.35 (step @p190 :rule symm :premises (@p67)) % 1.12/1.35 (step @p191 :rule refl :args (@t28)) % 1.12/1.35 (step @p192 :rule symm :premises (@p61)) % 1.12/1.35 (step @p193 :rule cong :premises (@p160 @p129) :args (@t85)) % 1.12/1.35 (step @p194 :rule symm :premises (@p37)) % 1.12/1.35 (step @p195 :rule refl :args (@t27)) % 1.12/1.35 (step @p196 :rule trans :premises (@p33 @p32)) % 1.12/1.35 (step @p197 :rule cong :premises (@p196 @p195) :args (@t52)) % 1.12/1.35 (step @p198 :rule trans :premises (@p20 @p197 @p194)) % 1.12/1.35 (step @p199 :rule cong :premises (@p198 @p109) :args (@t40)) % 1.12/1.35 (step @p200 :rule trans :premises (@p43 @p199 @p49 @p193 @p192)) % 1.12/1.35 (step @p201 :rule cong :premises (@p200 @p191) :args (@t99)) % 1.12/1.35 (step @p202 :rule trans :premises (@p56 @p59 @p201 @p190 @p189 @p186 @p113 @p112 @p111)) % 1.12/1.35 (step-pop @p283 :rule scope :premises (@p202)) % 1.12/1.35 (step-pop @p284 :rule scope :premises (@p283)) % 1.12/1.35 (step-pop @p285 :rule scope :premises (@p284)) % 1.12/1.35 (step-pop @p286 :rule scope :premises (@p285)) % 1.12/1.35 (step-pop @p287 :rule scope :premises (@p286)) % 1.12/1.35 (step-pop @p288 :rule scope :premises (@p287)) % 1.12/1.35 (step-pop @p289 :rule scope :premises (@p288)) % 1.12/1.35 (step-pop @p290 :rule scope :premises (@p289)) % 1.12/1.35 (step-pop @p291 :rule scope :premises (@p290)) % 1.12/1.35 (step-pop @p292 :rule scope :premises (@p291)) % 1.12/1.35 (step-pop @p293 :rule scope :premises (@p292)) % 1.12/1.35 (step-pop @p294 :rule scope :premises (@p293)) % 1.12/1.35 (step-pop @p295 :rule scope :premises (@p294)) % 1.12/1.35 (step-pop @p296 :rule scope :premises (@p295)) % 1.12/1.35 (step-pop @p297 :rule scope :premises (@p296)) % 1.12/1.35 (step-pop @p298 :rule scope :premises (@p297)) % 1.12/1.35 (step-pop @p299 :rule scope :premises (@p298)) % 1.12/1.35 (step-pop @p300 :rule scope :premises (@p299)) % 1.12/1.35 (step-pop @p301 :rule scope :premises (@p300)) % 1.12/1.35 (step-pop @p302 :rule scope :premises (@p301)) % 1.12/1.35 (step-pop @p303 :rule scope :premises (@p302)) % 1.12/1.35 (step-pop @p304 :rule scope :premises (@p303)) % 1.12/1.35 (step-pop @p305 :rule scope :premises (@p304)) % 1.12/1.35 (step-pop @p306 :rule scope :premises (@p305)) % 1.12/1.35 (step-pop @p307 :rule scope :premises (@p306)) % 1.12/1.35 (step-pop @p308 :rule scope :premises (@p307)) % 1.12/1.35 (step-pop @p309 :rule scope :premises (@p308)) % 1.12/1.35 (step-pop @p310 :rule scope :premises (@p309)) % 1.12/1.35 (step-pop @p311 :rule scope :premises (@p310)) % 1.12/1.35 (step-pop @p312 :rule scope :premises (@p311)) % 1.12/1.35 (step-pop @p313 :rule scope :premises (@p312)) % 1.12/1.35 (step-pop @p314 :rule scope :premises (@p313)) % 1.12/1.35 (step-pop @p315 :rule scope :premises (@p314)) % 1.12/1.35 (step-pop @p316 :rule scope :premises (@p315)) % 1.12/1.35 (step-pop @p317 :rule scope :premises (@p316)) % 1.12/1.35 (step-pop @p318 :rule scope :premises (@p317)) % 1.12/1.35 (step-pop @p319 :rule scope :premises (@p318)) % 1.12/1.35 (step @p203 :rule process_scope :premises (@p319) :args (@t29)) % 1.12/1.35 (step @p241 :rule implies_elim :premises (@p203)) % 1.12/1.35 (step @p242 :rule cnf_and_neg :args (@t128)) % 1.12/1.35 (step @p243 :rule resolution :premises (@p242 @p241) :args (true @t128)) % 1.12/1.35 (step @p244 :rule reordering :premises (@p243) :args ((or @t29 (not @t53) (not @t54) (not @t55) (not @t57) (not @t58) (not @t60) (not @t63) (not @t64) (not @t67) (not @t70) (not @t73) (not @t75) (not @t78) (not @t79) (not @t80) (not @t81) (not @t84) (not @t86) (not @t87) (not @t89) (not @t92) (not @t94) (not @t96) (not @t98) (not @t100) (not @t103) (not @t105) (not @t108) (not @t110) (not @t112) (not @t114) (not @t115) (not @t118) (not @t121) (not @t122) (not @t123) (not @t126)))) % 1.12/1.35 (step @p245 false :rule chain_m_resolution :premises (@p244 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p52 @p51 @p50 @p49 @p48 @p47 @p43 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p26 @p25 @p21 @p20 @p16) :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 false false false false false false false false true) (@list @t126 @t123 @t122 @t121 @t118 @t115 @t114 @t112 @t110 @t108 @t105 @t103 @t100 @t98 @t96 @t94 @t92 @t89 @t87 @t86 @t84 @t81 @t80 @t79 @t78 @t75 @t73 @t70 @t67 @t64 @t63 @t60 @t58 @t57 @t55 @t54 @t53 @t29))) % 1.12/1.35 ) % 1.12/1.36 % SZS output end Proof % 1.12/1.36 % cvc5 exiting %------------------------------------------------------------------------------