%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO012-3 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:09:02 AM UTC 2026 % Result : Unsatisfiable 204.15s 204.49s % Output : Proof 204.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO012-3 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:38:07 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.56 --- Run --no-e-matching --full-saturate-quant at 6... % 21.32/21.58 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.42/27.61 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.45/34.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.84/64.12 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.95/79.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.00/112.22 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.11/127.32 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.09/157.39 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.18/172.45 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.27/202.51 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.15/204.49 % SZS status Unsatisfiable % 204.15/204.49 % SZS output start Proof % 204.15/204.49 ( % 204.15/204.49 (declare-sort $$unsorted 0) % 204.15/204.49 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 204.15/204.49 (declare-const tptp.multiplicative_identity $$unsorted) % 204.15/204.49 (declare-const tptp.additive_identity $$unsorted) % 204.15/204.49 (declare-const tptp.x $$unsorted) % 204.15/204.49 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.15/204.49 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 204.15/204.49 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.15/204.49 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 204.15/204.49 (define @t1 () (@var "Y" $$unsorted)) % 204.15/204.49 (define @t2 () (@var "X" $$unsorted)) % 204.15/204.49 (define @t3 () (tptp.add @t2 @t1)) % 204.15/204.49 (define @t4 () (@list @t2 @t1)) % 204.15/204.49 (define @t5 () (tptp.multiply @t2 @t1)) % 204.15/204.49 (define @t6 () (@var "Z" $$unsorted)) % 204.15/204.49 (define @t7 () (not (tptp.sum @t2 @t1 @t6))) % 204.15/204.49 (define @t8 () (@list @t2 @t1 @t6)) % 204.15/204.49 (define @t9 () (not (tptp.product @t2 @t1 @t6))) % 204.15/204.49 (define @t10 () (@list @t2)) % 204.15/204.49 (define @t11 () (@var "V4" $$unsorted)) % 204.15/204.49 (define @t12 () (@var "V2" $$unsorted)) % 204.15/204.49 (define @t13 () (@var "V1" $$unsorted)) % 204.15/204.49 (define @t14 () (tptp.sum @t13 @t12 @t11)) % 204.15/204.49 (define @t15 () (@var "V3" $$unsorted)) % 204.15/204.49 (define @t16 () (tptp.product @t2 @t15 @t11)) % 204.15/204.49 (define @t17 () (not (tptp.sum @t1 @t6 @t15))) % 204.15/204.49 (define @t18 () (not (tptp.product @t2 @t6 @t12))) % 204.15/204.49 (define @t19 () (not (tptp.product @t2 @t1 @t13))) % 204.15/204.49 (define @t20 () (@list @t2 @t1 @t13 @t6 @t12 @t15 @t11)) % 204.15/204.49 (define @t21 () (not @t14)) % 204.15/204.49 (define @t22 () (tptp.product @t15 @t2 @t11)) % 204.15/204.49 (define @t23 () (not (tptp.product @t6 @t2 @t12))) % 204.15/204.49 (define @t24 () (not (tptp.product @t1 @t2 @t13))) % 204.15/204.49 (define @t25 () (@list @t1 @t2 @t13 @t6 @t12 @t15 @t11)) % 204.15/204.49 (define @t26 () (tptp.product @t13 @t12 @t11)) % 204.15/204.49 (define @t27 () (tptp.sum @t2 @t15 @t11)) % 204.15/204.49 (define @t28 () (not (tptp.product @t1 @t6 @t15))) % 204.15/204.49 (define @t29 () (not (tptp.sum @t2 @t6 @t12))) % 204.15/204.49 (define @t30 () (not (tptp.sum @t2 @t1 @t13))) % 204.15/204.49 (define @t31 () (not @t26)) % 204.15/204.49 (define @t32 () (tptp.sum @t15 @t2 @t11)) % 204.15/204.49 (define @t33 () (not (tptp.sum @t6 @t2 @t12))) % 204.15/204.49 (define @t34 () (not (tptp.sum @t1 @t2 @t13))) % 204.15/204.49 (define @t35 () (tptp.inverse @t2)) % 204.15/204.49 (define @t36 () (@var "V" $$unsorted)) % 204.15/204.49 (define @t37 () (@var "U" $$unsorted)) % 204.15/204.49 (define @t38 () (= @t37 @t36)) % 204.15/204.49 (define @t39 () (@list @t2 @t1 @t37 @t36)) % 204.15/204.49 (define @t40 () (@var "X_plus_Y_plus_Z" $$unsorted)) % 204.15/204.49 (define @t41 () (@var "X_plus_Y" $$unsorted)) % 204.15/204.49 (define @t42 () (tptp.sum @t41 @t6 @t40)) % 204.15/204.49 (define @t43 () (@var "Y_plus_Z" $$unsorted)) % 204.15/204.49 (define @t44 () (not (tptp.sum @t2 @t43 @t40))) % 204.15/204.49 (define @t45 () (not (tptp.sum @t1 @t6 @t43))) % 204.15/204.49 (define @t46 () (not (tptp.sum @t2 @t1 @t41))) % 204.15/204.49 (define @t47 () (@list @t2 @t1 @t41 @t6 @t43 @t40)) % 204.15/204.49 (define @t48 () (forall @t47 (or @t46 @t45 @t44 @t42))) % 204.15/204.49 (define @t49 () (@var "X_times_Y_times_Z" $$unsorted)) % 204.15/204.49 (define @t50 () (@var "X_times_Y" $$unsorted)) % 204.15/204.49 (define @t51 () (tptp.product @t50 @t6 @t49)) % 204.15/204.49 (define @t52 () (@var "Y_times_Z" $$unsorted)) % 204.15/204.49 (define @t53 () (not (tptp.product @t2 @t52 @t49))) % 204.15/204.49 (define @t54 () (not (tptp.product @t1 @t6 @t52))) % 204.15/204.49 (define @t55 () (not (tptp.product @t2 @t1 @t50))) % 204.15/204.49 (define @t56 () (@list @t2 @t1 @t50 @t6 @t52 @t49)) % 204.15/204.49 (define @t57 () (tptp.inverse tptp.x)) % 204.15/204.49 (define @t58 () (tptp.inverse @t57)) % 204.15/204.49 (define @t59 () (tptp.multiply @t58 tptp.x)) % 204.15/204.49 (define @t60 () (@list @t58 tptp.x)) % 204.15/204.49 (define @t61 () (tptp.sum @t59 @t58 @t58)) % 204.15/204.49 (define @t62 () (tptp.sum @t58 @t59 @t58)) % 204.15/204.49 (define @t63 () (not @t62)) % 204.15/204.49 (define @t64 () (or @t63 @t61)) % 204.15/204.49 (define @t65 () (@list false false)) % 204.15/204.49 (define @t66 () (@list tptp.x)) % 204.15/204.49 (define @t67 () (tptp.product tptp.x tptp.multiplicative_identity tptp.x)) % 204.15/204.49 (define @t68 () (tptp.sum tptp.x @t57 tptp.multiplicative_identity)) % 204.15/204.49 (define @t69 () (not @t68)) % 204.15/204.49 (define @t70 () (or @t69 @t67)) % 204.15/204.49 (define @t71 () (tptp.product tptp.multiplicative_identity tptp.x tptp.x)) % 204.15/204.49 (define @t72 () (not @t67)) % 204.15/204.49 (define @t73 () (or @t72 @t71)) % 204.15/204.49 (define @t74 () (@list @t57)) % 204.15/204.49 (define @t75 () (tptp.sum tptp.additive_identity @t59 tptp.x)) % 204.15/204.49 (define @t76 () (not @t71)) % 204.15/204.49 (define @t77 () (tptp.sum @t57 @t58 tptp.multiplicative_identity)) % 204.15/204.49 (define @t78 () (not @t77)) % 204.15/204.49 (define @t79 () (tptp.product @t58 tptp.x @t59)) % 204.15/204.49 (define @t80 () (not @t79)) % 204.15/204.49 (define @t81 () (tptp.product @t57 tptp.x tptp.additive_identity)) % 204.15/204.49 (define @t82 () (not @t81)) % 204.15/204.49 (define @t83 () (or @t82 @t80 @t78 @t76 @t75)) % 204.15/204.49 (define @t84 () (@list tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 204.15/204.49 (define @t85 () (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity)) % 204.15/204.49 (define @t86 () (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 204.15/204.49 (define @t87 () (not @t86)) % 204.15/204.49 (define @t88 () (or @t87 @t85)) % 204.15/204.49 (define @t89 () (tptp.product tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity)) % 204.15/204.49 (define @t90 () (or @t87 @t89)) % 204.15/204.49 (define @t91 () (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity)) % 204.15/204.49 (define @t92 () (not @t89)) % 204.15/204.49 (define @t93 () (or @t92 @t91)) % 204.15/204.49 (define @t94 () (= tptp.x @t58)) % 204.15/204.49 (define @t95 () (tptp.sum tptp.additive_identity tptp.x @t58)) % 204.15/204.49 (define @t96 () (not @t95)) % 204.15/204.49 (define @t97 () (tptp.sum tptp.additive_identity tptp.x tptp.x)) % 204.15/204.49 (define @t98 () (not @t97)) % 204.15/204.49 (define @t99 () (or @t98 @t96 @t94)) % 204.15/204.49 (define @t100 () (tptp.sum tptp.x tptp.additive_identity @t58)) % 204.15/204.49 (define @t101 () (not @t100)) % 204.15/204.49 (define @t102 () (or @t101 @t95)) % 204.15/204.49 (define @t103 () (@list true false)) % 204.15/204.49 (define @t104 () (tptp.sum tptp.x tptp.additive_identity tptp.x)) % 204.15/204.49 (define @t105 () (tptp.product tptp.x @t57 tptp.additive_identity)) % 204.15/204.49 (define @t106 () (not @t105)) % 204.15/204.49 (define @t107 () (or @t106 @t104)) % 204.15/204.49 (define @t108 () (tptp.product tptp.multiplicative_identity tptp.x @t58)) % 204.15/204.49 (define @t109 () (not @t108)) % 204.15/204.49 (define @t110 () (not @t104)) % 204.15/204.49 (define @t111 () (not @t91)) % 204.15/204.49 (define @t112 () (or @t76 @t111 @t110 @t109 @t100)) % 204.15/204.49 (define @t113 () (tptp.product tptp.x tptp.multiplicative_identity @t58)) % 204.15/204.49 (define @t114 () (not @t113)) % 204.15/204.49 (define @t115 () (or @t114 @t108)) % 204.15/204.49 (define @t116 () (tptp.product @t58 tptp.multiplicative_identity @t58)) % 204.15/204.49 (define @t117 () (tptp.sum @t58 @t57 tptp.multiplicative_identity)) % 204.15/204.49 (define @t118 () (not @t117)) % 204.15/204.49 (define @t119 () (or @t118 @t116)) % 204.15/204.49 (define @t120 () (tptp.sum @t58 tptp.additive_identity @t58)) % 204.15/204.49 (define @t121 () (tptp.product @t58 @t57 tptp.additive_identity)) % 204.15/204.49 (define @t122 () (not @t121)) % 204.15/204.49 (define @t123 () (or @t122 @t120)) % 204.15/204.49 (define @t124 () (not @t120)) % 204.15/204.49 (define @t125 () (not @t116)) % 204.15/204.49 (define @t126 () (not @t85)) % 204.15/204.49 (define @t127 () (tptp.sum @t58 tptp.additive_identity tptp.x)) % 204.15/204.49 (define @t128 () (not @t127)) % 204.15/204.49 (define @t129 () (or @t128 @t126 @t125 @t124 @t113)) % 204.15/204.49 (define @t130 () (@list @t58 tptp.additive_identity @t58)) % 204.15/204.49 (define @t131 () (tptp.product @t58 @t58 @t58)) % 204.15/204.49 (define @t132 () (or @t124 @t131)) % 204.15/204.49 (define @t133 () (tptp.product tptp.multiplicative_identity @t58 tptp.x)) % 204.15/204.49 (define @t134 () (not @t133)) % 204.15/204.49 (define @t135 () (tptp.product @t57 @t58 tptp.additive_identity)) % 204.15/204.49 (define @t136 () (not @t135)) % 204.15/204.49 (define @t137 () (not @t131)) % 204.15/204.49 (define @t138 () (or @t137 @t136 @t118 @t134 @t127)) % 204.15/204.49 (define @t139 () (@list false false false true false)) % 204.15/204.49 (define @t140 () (tptp.sum tptp.x @t58 @t58)) % 204.15/204.49 (define @t141 () (not @t140)) % 204.15/204.49 (define @t142 () (or @t69 @t141 @t136 @t110 @t133)) % 204.15/204.49 (define @t143 () (tptp.sum tptp.additive_identity @t58 @t58)) % 204.15/204.49 (define @t144 () (or @t124 @t143)) % 204.15/204.49 (define @t145 () (not @t143)) % 204.15/204.49 (define @t146 () (not @t61)) % 204.15/204.49 (define @t147 () (not @t75)) % 204.15/204.49 (define @t148 () (or @t147 @t146 @t145 @t140)) % 204.15/204.49 (define @t149 () (not @t148)) % 204.15/204.49 (assume @p1 (forall @t4 (tptp.sum @t2 @t1 @t3))) % 204.15/204.49 (assume @p2 (forall @t4 (tptp.product @t2 @t1 @t5))) % 204.15/204.49 (assume @p3 (forall @t8 (or @t7 (tptp.sum @t1 @t2 @t6)))) % 204.15/204.49 (assume @p4 (forall @t8 (or @t9 (tptp.product @t1 @t2 @t6)))) % 204.15/204.49 (assume @p5 (forall @t10 (tptp.sum tptp.additive_identity @t2 @t2))) % 204.15/204.49 (assume @p6 (forall @t10 (tptp.sum @t2 tptp.additive_identity @t2))) % 204.15/204.49 (assume @p7 (forall @t10 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 204.15/204.49 (assume @p8 (forall @t10 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 204.15/204.49 (assume @p9 (forall @t20 (or @t19 @t18 @t17 (not @t16) @t14))) % 204.15/204.49 (assume @p10 (forall @t20 (or @t19 @t18 @t17 @t21 @t16))) % 204.15/204.49 (assume @p11 (forall @t25 (or @t24 @t23 @t17 (not @t22) @t14))) % 204.15/204.49 (assume @p12 (forall @t25 (or @t24 @t23 @t17 @t21 @t22))) % 204.15/204.49 (assume @p13 (forall @t20 (or @t30 @t29 @t28 (not @t27) @t26))) % 204.15/204.49 (assume @p14 (forall @t20 (or @t30 @t29 @t28 @t31 @t27))) % 204.15/204.49 (assume @p15 (forall @t25 (or @t34 @t33 @t28 (not @t32) @t26))) % 204.15/204.49 (assume @p16 (forall @t25 (or @t34 @t33 @t28 @t31 @t32))) % 204.15/204.49 (assume @p17 (forall @t10 (tptp.sum @t35 @t2 tptp.multiplicative_identity))) % 204.15/204.49 (assume @p18 (forall @t10 (tptp.sum @t2 @t35 tptp.multiplicative_identity))) % 204.15/204.49 (assume @p19 (forall @t10 (tptp.product @t35 @t2 tptp.additive_identity))) % 204.15/204.49 (assume @p20 (forall @t10 (tptp.product @t2 @t35 tptp.additive_identity))) % 204.15/204.49 (assume @p21 (forall @t39 (or (not (tptp.sum @t2 @t1 @t37)) (not (tptp.sum @t2 @t1 @t36)) @t38))) % 204.15/204.49 (assume @p22 (forall @t39 (or (not (tptp.product @t2 @t1 @t37)) (not (tptp.product @t2 @t1 @t36)) @t38))) % 204.15/204.49 (assume @p23 (forall @t10 (tptp.sum @t2 @t2 @t2))) % 204.15/204.49 (assume @p24 (forall @t10 (tptp.product @t2 @t2 @t2))) % 204.15/204.49 (assume @p25 (forall @t10 (tptp.sum @t2 tptp.multiplicative_identity tptp.multiplicative_identity))) % 204.15/204.49 (assume @p26 (forall @t10 (tptp.product @t2 tptp.additive_identity tptp.additive_identity))) % 204.15/204.49 (assume @p27 (forall @t8 (or @t9 (tptp.sum @t2 @t6 @t2)))) % 204.15/204.49 (assume @p28 (forall @t8 (or @t7 (tptp.product @t2 @t6 @t2)))) % 204.15/204.49 (assume @p29 (forall @t4 (tptp.sum @t2 @t5 @t2))) % 204.15/204.49 (assume @p30 (forall @t4 (tptp.product @t2 @t3 @t2))) % 204.15/204.49 (assume @p31 @t48) % 204.15/204.49 (assume @p32 (forall @t47 (or @t46 @t45 @t42 @t44))) % 204.15/204.49 (assume @p33 (forall @t56 (or @t55 @t54 @t53 @t51))) % 204.15/204.49 (assume @p34 (forall @t56 (or @t55 @t54 @t51 @t53))) % 204.15/204.49 (assume @p35 (not (= @t58 tptp.x))) % 204.15/204.49 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t58 @t59 @t58))) % 204.15/204.49 (step @p37 :rule instantiate :premises (@p29) :args (@t60)) % 204.15/204.49 (step @p38 :rule cnf_or_pos :args (@t64)) % 204.15/204.49 (step @p39 :rule reordering :premises (@p38) :args ((or @t63 @t61 (not @t64)))) % 204.15/204.49 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t61 @t65 (@list @t62 @t64))) % 204.15/204.49 (step @p41 :rule instantiate :premises (@p11) :args ((@list @t57 tptp.x tptp.additive_identity @t58 @t59 tptp.multiplicative_identity tptp.x))) % 204.15/204.49 (step @p42 :rule instantiate :premises (@p2) :args (@t60)) % 204.15/204.49 (step @p43 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.multiplicative_identity tptp.x))) % 204.15/204.49 (step @p44 :rule instantiate :premises (@p28) :args ((@list tptp.x @t57 tptp.multiplicative_identity))) % 204.15/204.49 (step @p45 :rule instantiate :premises (@p18) :args (@t66)) % 204.15/204.49 (step @p46 :rule cnf_or_pos :args (@t70)) % 204.15/204.49 (step @p47 :rule reordering :premises (@p46) :args ((or @t69 @t67 (not @t70)))) % 204.15/204.49 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44) :args (@t67 @t65 (@list @t68 @t70))) % 204.15/204.49 (step @p49 :rule cnf_or_pos :args (@t73)) % 204.15/204.49 (step @p50 :rule reordering :premises (@p49) :args ((or @t72 @t71 (not @t73)))) % 204.15/204.49 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p43) :args (@t71 @t65 (@list @t67 @t73))) % 204.15/204.49 (step @p52 :rule instantiate :premises (@p19) :args (@t66)) % 204.15/204.49 (step @p53 :rule instantiate :premises (@p18) :args (@t74)) % 204.15/204.49 (step @p54 :rule cnf_or_pos :args (@t83)) % 204.15/204.49 (step @p55 :rule reordering :premises (@p54) :args ((or @t78 @t82 @t76 @t80 @t75 (not @t83)))) % 204.15/204.49 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52 @p51 @p42 @p41) :args (@t75 (@list false false false false false) (@list @t77 @t81 @t71 @t79 @t83))) % 204.15/204.49 (step @p57 :rule instantiate :premises (@p13) :args ((@list tptp.x @t57 tptp.multiplicative_identity @t58 @t58 tptp.additive_identity tptp.x))) % 204.15/204.49 (step @p58 :rule instantiate :premises (@p11) :args ((@list @t58 @t58 @t58 @t57 tptp.additive_identity tptp.multiplicative_identity tptp.x))) % 204.15/204.49 (step @p59 :rule instantiate :premises (@p15) :args ((@list @t58 tptp.additive_identity tptp.x tptp.multiplicative_identity tptp.multiplicative_identity @t58 @t58))) % 204.15/204.49 (step @p60 :rule instantiate :premises (@p3) :args (@t84)) % 204.15/204.49 (step @p61 :rule instantiate :premises (@p5) :args ((@list tptp.multiplicative_identity))) % 204.15/204.49 (step @p62 :rule cnf_or_pos :args (@t88)) % 204.15/204.49 (step @p63 :rule reordering :premises (@p62) :args ((or @t87 @t85 (not @t88)))) % 204.15/204.49 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p60) :args (@t85 @t65 (@list @t86 @t88))) % 204.15/204.49 (step @p65 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.multiplicative_identity @t58))) % 204.15/204.49 (step @p66 :rule instantiate :premises (@p9) :args ((@list tptp.multiplicative_identity tptp.x tptp.x tptp.additive_identity tptp.additive_identity tptp.x @t58))) % 204.15/204.49 (step @p67 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 204.15/204.49 (step @p68 :rule instantiate :premises (@p28) :args (@t84)) % 204.15/204.49 (step @p69 :rule cnf_or_pos :args (@t90)) % 204.15/204.49 (step @p70 :rule reordering :premises (@p69) :args ((or @t87 @t89 (not @t90)))) % 204.15/204.49 (step @p71 :rule chain_m_resolution :premises (@p70 @p61 @p68) :args (@t89 @t65 (@list @t86 @t90))) % 204.15/204.49 (step @p72 :rule cnf_or_pos :args (@t93)) % 204.15/204.49 (step @p73 :rule reordering :premises (@p72) :args ((or @t92 @t91 (not @t93)))) % 204.15/204.49 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p67) :args (@t91 @t65 (@list @t89 @t93))) % 204.15/204.49 (step @p75 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.additive_identity @t58))) % 204.15/204.49 (step @p76 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity tptp.x tptp.x @t58))) % 204.15/204.49 (step @p77 :rule instantiate :premises (@p5) :args (@t66)) % 204.15/204.49 (step @p78 :rule symm :premises (@p35)) % 204.15/204.49 (step @p79 :rule cnf_or_pos :args (@t99)) % 204.15/204.49 (step @p80 :rule reordering :premises (@p79) :args ((or @t94 @t98 @t96 (not @t99)))) % 204.15/204.49 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p77 @p76) :args (@t96 (@list true false false) (@list @t94 @t97 @t99))) % 204.15/204.49 (step @p82 :rule cnf_or_pos :args (@t102)) % 204.15/204.49 (step @p83 :rule reordering :premises (@p82) :args ((or @t101 @t95 (not @t102)))) % 204.15/204.49 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p75) :args (@t101 @t103 (@list @t95 @t102))) % 204.15/204.49 (step @p85 :rule instantiate :premises (@p27) :args ((@list tptp.x @t57 tptp.additive_identity))) % 204.15/204.49 (step @p86 :rule instantiate :premises (@p20) :args (@t66)) % 204.15/204.49 (step @p87 :rule cnf_or_pos :args (@t107)) % 204.15/204.49 (step @p88 :rule reordering :premises (@p87) :args ((or @t106 @t104 (not @t107)))) % 204.15/204.49 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t104 @t65 (@list @t105 @t107))) % 204.15/204.49 (step @p90 :rule cnf_or_pos :args (@t112)) % 204.15/204.49 (step @p91 :rule reordering :premises (@p90) :args ((or @t110 @t100 @t109 @t111 @t76 (not @t112)))) % 204.15/204.49 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p84 @p74 @p51 @p66) :args (@t109 (@list false true false false false) (@list @t104 @t100 @t91 @t71 @t112))) % 204.15/204.49 (step @p93 :rule cnf_or_pos :args (@t115)) % 204.15/204.49 (step @p94 :rule reordering :premises (@p93) :args ((or @t114 @t108 (not @t115)))) % 204.15/204.49 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p65) :args (@t114 @t103 (@list @t108 @t115))) % 204.15/204.49 (step @p96 :rule instantiate :premises (@p28) :args ((@list @t58 @t57 tptp.multiplicative_identity))) % 204.15/204.49 (step @p97 :rule instantiate :premises (@p17) :args (@t74)) % 204.15/204.49 (step @p98 :rule cnf_or_pos :args (@t119)) % 204.15/204.49 (step @p99 :rule reordering :premises (@p98) :args ((or @t118 @t116 (not @t119)))) % 204.15/204.49 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96) :args (@t116 @t65 (@list @t117 @t119))) % 204.15/204.49 (step @p101 :rule instantiate :premises (@p27) :args ((@list @t58 @t57 tptp.additive_identity))) % 204.15/204.49 (step @p102 :rule instantiate :premises (@p19) :args (@t74)) % 204.15/204.49 (step @p103 :rule cnf_or_pos :args (@t123)) % 204.15/204.49 (step @p104 :rule reordering :premises (@p103) :args ((or @t122 @t120 (not @t123)))) % 204.15/204.49 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101) :args (@t120 @t65 (@list @t121 @t123))) % 204.15/204.49 (step @p106 :rule cnf_or_pos :args (@t129)) % 204.15/204.49 (step @p107 :rule reordering :premises (@p106) :args ((or @t124 @t125 @t113 @t128 @t126 (not @t129)))) % 204.15/204.49 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p100 @p95 @p64 @p59) :args (@t128 (@list false false true false false) (@list @t120 @t116 @t113 @t85 @t129))) % 204.15/204.49 (step @p109 :rule instantiate :premises (@p28) :args (@t130)) % 204.15/204.49 (step @p110 :rule cnf_or_pos :args (@t132)) % 204.15/204.49 (step @p111 :rule reordering :premises (@p110) :args ((or @t131 @t124 (not @t132)))) % 204.15/204.49 (step @p112 :rule chain_m_resolution :premises (@p111 @p105 @p109) :args (@t131 @t65 (@list @t120 @t132))) % 204.15/204.49 (step @p113 :rule instantiate :premises (@p20) :args (@t74)) % 204.15/204.49 (step @p114 :rule cnf_or_pos :args (@t138)) % 204.15/204.49 (step @p115 :rule reordering :premises (@p114) :args ((or @t118 @t136 @t137 @t127 @t134 (not @t138)))) % 204.15/204.49 (step @p116 :rule chain_m_resolution :premises (@p115 @p97 @p113 @p112 @p108 @p58) :args (@t134 @t139 (@list @t117 @t135 @t131 @t127 @t138))) % 204.15/204.49 (step @p117 :rule cnf_or_pos :args (@t142)) % 204.15/204.49 (step @p118 :rule reordering :premises (@p117) :args ((or @t69 @t136 @t110 @t133 @t141 (not @t142)))) % 204.15/204.49 (step @p119 :rule chain_m_resolution :premises (@p118 @p45 @p113 @p89 @p116 @p57) :args (@t141 @t139 (@list @t68 @t135 @t104 @t133 @t142))) % 204.15/204.49 (step @p120 :rule instantiate :premises (@p3) :args (@t130)) % 204.15/204.49 (step @p121 :rule cnf_or_pos :args (@t144)) % 204.15/204.49 (step @p122 :rule reordering :premises (@p121) :args ((or @t124 @t143 (not @t144)))) % 204.15/204.49 (step @p123 :rule chain_m_resolution :premises (@p122 @p105 @p120) :args (@t143 @t65 (@list @t120 @t144))) % 204.15/204.49 (step @p124 :rule cnf_or_pos :args (@t148)) % 204.15/204.49 (step @p125 :rule reordering :premises (@p124) :args ((or @t145 @t140 @t147 @t146 @t149))) % 204.15/204.49 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p119 @p56 @p40) :args (@t149 (@list false true false false) (@list @t143 @t140 @t75 @t61))) % 204.15/204.49 (assume-push @p133 @t48) % 204.15/204.49 (step @p128 :rule instantiate :premises (@p31) :args ((@list tptp.additive_identity @t59 tptp.x @t58 @t58 @t58))) % 204.15/204.49 (step-pop @p134 :rule scope :premises (@p128)) % 204.15/204.49 (step @p129 :rule process_scope :premises (@p134) :args (@t148)) % 204.15/204.49 (step @p131 :rule implies_elim :premises (@p129)) % 204.15/204.49 (step @p132 false :rule chain_m_resolution :premises (@p131 @p126 @p31) :args (false @t103 (@list @t148 @t48))) % 204.15/204.49 ) % 204.15/204.49 % SZS output end Proof % 204.15/204.50 % cvc5 exiting %------------------------------------------------------------------------------