%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG019-6 : 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 : n012.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 08:45:23 AM UTC 2026 % Result : Unsatisfiable 34.00s 34.64s % Output : Proof 34.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : RNG019-6 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 13:57:03 EDT 2026 % 0.06/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 21.81/22.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.92/28.11 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.91/34.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.00/34.64 % SZS status Unsatisfiable % 34.00/34.64 % SZS output start Proof % 34.00/34.64 ( % 34.00/34.64 (declare-sort $$unsorted 0) % 34.00/34.64 (declare-const tptp.u $$unsorted) % 34.00/34.64 (declare-const tptp.x $$unsorted) % 34.00/34.64 (declare-const tptp.y $$unsorted) % 34.00/34.64 (declare-const tptp.commutator (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.64 (declare-const tptp.associator (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.00/34.64 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 34.00/34.64 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.64 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 34.00/34.64 (declare-const tptp.v $$unsorted) % 34.00/34.64 (declare-const tptp.additive_identity $$unsorted) % 34.00/34.64 (define @t1 () (@var "X" $$unsorted)) % 34.00/34.64 (define @t2 () (tptp.add tptp.additive_identity @t1)) % 34.00/34.64 (define @t3 () (@list @t1)) % 34.00/34.64 (define @t4 () (forall @t3 (= @t2 @t1))) % 34.00/34.64 (define @t5 () (tptp.add @t1 tptp.additive_identity)) % 34.00/34.64 (define @t6 () (forall @t3 (= @t5 @t1))) % 34.00/34.64 (define @t7 () (tptp.multiply tptp.additive_identity @t1)) % 34.00/34.64 (define @t8 () (forall @t3 (= @t7 tptp.additive_identity))) % 34.00/34.64 (define @t9 () (tptp.multiply @t1 tptp.additive_identity)) % 34.00/34.64 (define @t10 () (forall @t3 (= @t9 tptp.additive_identity))) % 34.00/34.64 (define @t11 () (tptp.additive_inverse @t1)) % 34.00/34.64 (define @t12 () (tptp.add @t11 @t1)) % 34.00/34.64 (define @t13 () (forall @t3 (= @t12 tptp.additive_identity))) % 34.00/34.64 (define @t14 () (tptp.add @t1 @t11)) % 34.00/34.64 (define @t15 () (forall @t3 (= @t14 tptp.additive_identity))) % 34.00/34.64 (define @t16 () (@var "Z" $$unsorted)) % 34.00/34.64 (define @t17 () (tptp.multiply @t1 @t16)) % 34.00/34.64 (define @t18 () (@var "Y" $$unsorted)) % 34.00/34.64 (define @t19 () (tptp.multiply @t1 @t18)) % 34.00/34.64 (define @t20 () (tptp.add @t18 @t16)) % 34.00/34.64 (define @t21 () (@list @t1 @t18 @t16)) % 34.00/34.64 (define @t22 () (tptp.multiply @t18 @t16)) % 34.00/34.64 (define @t23 () (tptp.add @t1 @t18)) % 34.00/34.64 (define @t24 () (@list @t1 @t18)) % 34.00/34.64 (define @t25 () (tptp.associator tptp.x tptp.y tptp.v)) % 34.00/34.64 (define @t26 () (tptp.associator tptp.x tptp.y tptp.u)) % 34.00/34.64 (define @t27 () (tptp.add tptp.u tptp.v)) % 34.00/34.64 (define @t28 () (tptp.associator tptp.x tptp.y @t27)) % 34.00/34.64 (define @t29 () (= @t28 (tptp.add @t26 @t25))) % 34.00/34.64 (define @t30 () (tptp.multiply tptp.y tptp.v)) % 34.00/34.64 (define @t31 () (tptp.multiply tptp.x @t30)) % 34.00/34.64 (define @t32 () (tptp.multiply tptp.y @t27)) % 34.00/34.64 (define @t33 () (tptp.multiply tptp.x @t32)) % 34.00/34.64 (define @t34 () (tptp.multiply tptp.y tptp.u)) % 34.00/34.64 (define @t35 () (tptp.multiply tptp.x @t34)) % 34.00/34.64 (define @t36 () (tptp.multiply tptp.x tptp.y)) % 34.00/34.64 (define @t37 () (tptp.additive_inverse @t35)) % 34.00/34.64 (define @t38 () (tptp.multiply @t36 tptp.u)) % 34.00/34.64 (define @t39 () (tptp.additive_inverse @t31)) % 34.00/34.64 (define @t40 () (tptp.multiply @t36 tptp.v)) % 34.00/34.64 (define @t41 () (tptp.add @t26 @t40)) % 34.00/34.64 (define @t42 () (tptp.additive_inverse @t33)) % 34.00/34.64 (define @t43 () (tptp.add @t38 @t40)) % 34.00/34.64 (define @t44 () (tptp.add @t39 @t37)) % 34.00/34.64 (define @t45 () (tptp.add @t42 @t35)) % 34.00/34.64 (define @t46 () (@list @t30)) % 34.00/34.64 (define @t47 () (tptp.multiply tptp.additive_identity @t34)) % 34.00/34.64 (define @t48 () (tptp.add tptp.v tptp.u)) % 34.00/34.64 (define @t49 () (= @t27 @t48)) % 34.00/34.64 (define @t50 () (tptp.add @t38 @t37)) % 34.00/34.64 (define @t51 () (= @t26 @t50)) % 34.00/34.64 (define @t52 () (tptp.add @t40 @t39)) % 34.00/34.64 (define @t53 () (= @t25 @t52)) % 34.00/34.64 (define @t54 () (tptp.multiply @t36 @t27)) % 34.00/34.64 (define @t55 () (tptp.add @t54 @t42)) % 34.00/34.64 (define @t56 () (= @t28 @t55)) % 34.00/34.64 (define @t57 () (tptp.add @t39 @t31)) % 34.00/34.64 (define @t58 () (= tptp.additive_identity @t57)) % 34.00/34.64 (define @t59 () (= tptp.additive_identity (tptp.add @t42 @t33))) % 34.00/34.64 (define @t60 () (tptp.add @t35 @t37)) % 34.00/34.64 (define @t61 () (= tptp.additive_identity @t60)) % 34.00/34.64 (define @t62 () (tptp.add @t34 @t30)) % 34.00/34.64 (define @t63 () (= @t32 @t62)) % 34.00/34.64 (define @t64 () (= @t54 @t43)) % 34.00/34.64 (define @t65 () (tptp.add @t37 @t38)) % 34.00/34.64 (define @t66 () (= @t50 @t65)) % 34.00/34.64 (define @t67 () (tptp.add @t41 @t39)) % 34.00/34.64 (define @t68 () (tptp.add @t26 @t52)) % 34.00/34.64 (define @t69 () (= @t68 @t67)) % 34.00/34.64 (define @t70 () (tptp.add @t35 @t31)) % 34.00/34.64 (define @t71 () (tptp.multiply tptp.x @t62)) % 34.00/34.64 (define @t72 () (= @t71 @t70)) % 34.00/34.64 (define @t73 () (tptp.add @t40 @t38)) % 34.00/34.64 (define @t74 () (tptp.multiply @t36 @t48)) % 34.00/34.64 (define @t75 () (= @t74 @t73)) % 34.00/34.64 (define @t76 () (= @t67 (tptp.add @t39 @t41))) % 34.00/34.64 (define @t77 () (tptp.add @t65 @t40)) % 34.00/34.64 (define @t78 () (tptp.add @t37 @t43)) % 34.00/34.64 (define @t79 () (= @t78 @t77)) % 34.00/34.64 (define @t80 () (tptp.add @t45 @t31)) % 34.00/34.64 (define @t81 () (tptp.add @t42 @t70)) % 34.00/34.64 (define @t82 () (= @t81 @t80)) % 34.00/34.64 (define @t83 () (tptp.add @t44 @t43)) % 34.00/34.64 (define @t84 () (tptp.add @t39 @t78)) % 34.00/34.64 (define @t85 () (= @t84 @t83)) % 34.00/34.64 (define @t86 () (tptp.add @t35 @t42)) % 34.00/34.64 (define @t87 () (= @t45 @t86)) % 34.00/34.64 (define @t88 () (= @t83 (tptp.add @t43 @t44))) % 34.00/34.64 (define @t89 () (tptp.add @t31 @t45)) % 34.00/34.64 (define @t90 () (= @t80 @t89)) % 34.00/34.64 (define @t91 () (tptp.add tptp.additive_identity tptp.x)) % 34.00/34.64 (define @t92 () (= tptp.x @t91)) % 34.00/34.64 (define @t93 () (tptp.add @t47 @t35)) % 34.00/34.64 (define @t94 () (= (tptp.multiply @t91 @t34) @t93)) % 34.00/34.64 (define @t95 () (= tptp.additive_identity @t47)) % 34.00/34.64 (define @t96 () (tptp.multiply tptp.additive_identity @t30)) % 34.00/34.64 (define @t97 () (= tptp.additive_identity @t96)) % 34.00/34.64 (define @t98 () (tptp.multiply tptp.additive_identity @t32)) % 34.00/34.64 (define @t99 () (= tptp.additive_identity @t98)) % 34.00/34.64 (define @t100 () (tptp.multiply @t30 tptp.additive_identity)) % 34.00/34.64 (define @t101 () (= tptp.additive_identity @t100)) % 34.00/34.64 (define @t102 () (tptp.add @t47 @t86)) % 34.00/34.64 (define @t103 () (= @t102 (tptp.add @t93 @t42))) % 34.00/34.64 (define @t104 () (= @t39 (tptp.add @t39 tptp.additive_identity))) % 34.00/34.64 (define @t105 () (= @t42 (tptp.add @t42 tptp.additive_identity))) % 34.00/34.64 (define @t106 () (tptp.add @t39 @t89)) % 34.00/34.64 (define @t107 () (= @t106 (tptp.add @t57 @t45))) % 34.00/34.64 (define @t108 () (tptp.add @t45 @t37)) % 34.00/34.64 (define @t109 () (= (tptp.add @t42 @t60) @t108)) % 34.00/34.64 (define @t110 () (tptp.add @t42 @t98)) % 34.00/34.64 (define @t111 () (and @t49 @t51 @t53 @t56 @t58 @t59 @t61 @t63 @t64 @t66 @t69 @t72 @t75 @t76 @t79 @t82 @t85 @t87 @t88 @t90 @t92 @t94 @t95 @t97 @t99 @t101 @t103 @t104 @t105 @t107 @t109)) % 34.00/34.64 (assume @p1 @t4) % 34.00/34.64 (assume @p2 @t6) % 34.00/34.64 (assume @p3 @t8) % 34.00/34.64 (assume @p4 @t10) % 34.00/34.64 (assume @p5 @t13) % 34.00/34.64 (assume @p6 @t15) % 34.00/34.64 (assume @p7 (forall @t3 (= (tptp.additive_inverse @t11) @t1))) % 34.00/34.64 (assume @p8 (forall @t21 (= (tptp.multiply @t1 @t20) (tptp.add @t19 @t17)))) % 34.00/34.64 (assume @p9 (forall @t21 (= (tptp.multiply @t23 @t16) (tptp.add @t17 @t22)))) % 34.00/34.64 (assume @p10 (forall @t24 (= @t23 (tptp.add @t18 @t1)))) % 34.00/34.64 (assume @p11 (forall @t21 (= (tptp.add @t1 @t20) (tptp.add @t23 @t16)))) % 34.00/34.64 (assume @p12 (forall @t24 (= (tptp.multiply @t19 @t18) (tptp.multiply @t1 (tptp.multiply @t18 @t18))))) % 34.00/34.64 (assume @p13 (forall @t24 (= (tptp.multiply (tptp.multiply @t1 @t1) @t18) (tptp.multiply @t1 @t19)))) % 34.00/34.64 (assume @p14 (forall @t21 (= (tptp.associator @t1 @t18 @t16) (tptp.add (tptp.multiply @t19 @t16) (tptp.additive_inverse (tptp.multiply @t1 @t22)))))) % 34.00/34.64 (assume @p15 (forall @t24 (= (tptp.commutator @t1 @t18) (tptp.add (tptp.multiply @t18 @t1) (tptp.additive_inverse @t19))))) % 34.00/34.64 (assume @p16 (not @t29)) % 34.00/34.64 (step @p17 :rule instantiate :premises (@p10) :args ((@list tptp.u tptp.v))) % 34.00/34.64 (step @p18 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y tptp.u))) % 34.00/34.64 (step @p19 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y tptp.v))) % 34.00/34.64 (step @p20 :rule instantiate :premises (@p14) :args ((@list tptp.x tptp.y @t27))) % 34.00/34.64 (step @p21 :rule eq-symm :args (@t12 tptp.additive_identity)) % 34.00/34.64 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 34.00/34.64 (step @p23 :rule eq_resolve :premises (@p5 @p22)) % 34.00/34.64 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t31))) % 34.00/34.64 (step @p25 :rule instantiate :premises (@p23) :args ((@list @t33))) % 34.00/34.64 (step @p26 :rule eq-symm :args (@t14 tptp.additive_identity)) % 34.00/34.64 (step @p27 :rule cong :premises (@p26) :args (@t15)) % 34.00/34.64 (step @p28 :rule eq_resolve :premises (@p6 @p27)) % 34.00/34.64 (step @p29 :rule instantiate :premises (@p28) :args ((@list @t35))) % 34.00/34.64 (step @p30 :rule instantiate :premises (@p8) :args ((@list tptp.y tptp.u tptp.v))) % 34.00/34.64 (step @p31 :rule instantiate :premises (@p8) :args ((@list @t36 tptp.u tptp.v))) % 34.00/34.64 (step @p32 :rule instantiate :premises (@p10) :args ((@list @t38 @t37))) % 34.00/34.64 (step @p33 :rule instantiate :premises (@p11) :args ((@list @t26 @t40 @t39))) % 34.00/34.64 (step @p34 :rule instantiate :premises (@p8) :args ((@list tptp.x @t34 @t30))) % 34.00/34.64 (step @p35 :rule instantiate :premises (@p8) :args ((@list @t36 tptp.v tptp.u))) % 34.00/34.64 (step @p36 :rule instantiate :premises (@p10) :args ((@list @t41 @t39))) % 34.00/34.64 (step @p37 :rule instantiate :premises (@p11) :args ((@list @t37 @t38 @t40))) % 34.00/34.64 (step @p38 :rule instantiate :premises (@p11) :args ((@list @t42 @t35 @t31))) % 34.00/34.64 (step @p39 :rule instantiate :premises (@p11) :args ((@list @t39 @t37 @t43))) % 34.00/34.64 (step @p40 :rule instantiate :premises (@p10) :args ((@list @t42 @t35))) % 34.00/34.64 (step @p41 :rule instantiate :premises (@p10) :args ((@list @t44 @t43))) % 34.00/34.64 (step @p42 :rule instantiate :premises (@p10) :args ((@list @t45 @t31))) % 34.00/34.64 (step @p43 :rule eq-symm :args (@t2 @t1)) % 34.00/34.64 (step @p44 :rule cong :premises (@p43) :args (@t4)) % 34.00/34.64 (step @p45 :rule eq_resolve :premises (@p1 @p44)) % 34.00/34.64 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.x))) % 34.00/34.64 (step @p47 :rule instantiate :premises (@p9) :args ((@list tptp.additive_identity tptp.x @t34))) % 34.00/34.64 (step @p48 :rule eq-symm :args (@t7 tptp.additive_identity)) % 34.00/34.64 (step @p49 :rule cong :premises (@p48) :args (@t8)) % 34.00/34.64 (step @p50 :rule eq_resolve :premises (@p3 @p49)) % 34.00/34.64 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t34))) % 34.00/34.64 (step @p52 :rule instantiate :premises (@p50) :args (@t46)) % 34.00/34.64 (step @p53 :rule instantiate :premises (@p50) :args ((@list @t32))) % 34.00/34.64 (step @p54 :rule eq-symm :args (@t9 tptp.additive_identity)) % 34.00/34.64 (step @p55 :rule cong :premises (@p54) :args (@t10)) % 34.00/34.64 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 34.00/34.64 (step @p57 :rule instantiate :premises (@p56) :args (@t46)) % 34.00/34.64 (step @p58 :rule instantiate :premises (@p11) :args ((@list @t47 @t35 @t42))) % 34.00/34.64 (step @p59 :rule eq-symm :args (@t5 @t1)) % 34.00/34.64 (step @p60 :rule cong :premises (@p59) :args (@t6)) % 34.00/34.64 (step @p61 :rule eq_resolve :premises (@p2 @p60)) % 34.00/34.64 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t39))) % 34.00/34.64 (step @p63 :rule instantiate :premises (@p61) :args ((@list @t42))) % 34.00/34.64 (step @p64 :rule instantiate :premises (@p11) :args ((@list @t39 @t31 @t45))) % 34.00/34.64 (step @p65 :rule instantiate :premises (@p11) :args ((@list @t42 @t35 @t37))) % 34.00/34.64 (assume-push @p199 @t49) % 34.00/34.64 (assume-push @p200 @t51) % 34.00/34.64 (assume-push @p201 @t53) % 34.00/34.64 (assume-push @p202 @t56) % 34.00/34.64 (assume-push @p203 @t58) % 34.00/34.64 (assume-push @p204 @t59) % 34.00/34.64 (assume-push @p205 @t61) % 34.00/34.64 (assume-push @p206 @t63) % 34.00/34.64 (assume-push @p207 @t64) % 34.00/34.64 (assume-push @p208 @t66) % 34.00/34.64 (assume-push @p209 @t69) % 34.00/34.64 (assume-push @p210 @t72) % 34.00/34.64 (assume-push @p211 @t75) % 34.00/34.64 (assume-push @p212 @t76) % 34.00/34.64 (assume-push @p213 @t79) % 34.00/34.64 (assume-push @p214 @t82) % 34.00/34.64 (assume-push @p215 @t85) % 34.00/34.64 (assume-push @p216 @t87) % 34.00/34.64 (assume-push @p217 @t88) % 34.00/34.64 (assume-push @p218 @t90) % 34.00/34.64 (assume-push @p219 @t92) % 34.00/34.64 (assume-push @p220 @t94) % 34.00/34.64 (assume-push @p221 @t95) % 34.00/34.64 (assume-push @p222 @t97) % 34.00/34.64 (assume-push @p223 @t99) % 34.00/34.64 (assume-push @p224 @t101) % 34.00/34.64 (assume-push @p225 @t103) % 34.00/34.64 (assume-push @p226 @t104) % 34.00/34.64 (assume-push @p227 @t105) % 34.00/34.64 (assume-push @p228 @t107) % 34.00/34.64 (assume-push @p229 @t109) % 34.00/34.64 (step @p97 :rule symm :premises (@p19)) % 34.00/34.64 (step @p98 :rule refl :args (@t26)) % 34.00/34.64 (step @p99 :rule cong :premises (@p98 @p97) :args (@t68)) % 34.00/34.64 (step @p100 :rule symm :premises (@p33)) % 34.00/34.64 (step @p101 :rule symm :premises (@p36)) % 34.00/34.64 (step @p102 :rule refl :args (@t40)) % 34.00/34.64 (step @p103 :rule symm :premises (@p18)) % 34.00/34.64 (step @p104 :rule symm :premises (@p32)) % 34.00/34.64 (step @p105 :rule trans :premises (@p104 @p103)) % 34.00/34.64 (step @p106 :rule cong :premises (@p105 @p102) :args (@t77)) % 34.00/34.64 (step @p107 :rule trans :premises (@p37 @p106)) % 34.00/34.64 (step @p108 :rule refl :args (@t39)) % 34.00/34.64 (step @p109 :rule cong :premises (@p108 @p107) :args (@t84)) % 34.00/34.64 (step @p110 :rule symm :premises (@p39)) % 34.00/34.64 (step @p111 :rule symm :premises (@p41)) % 34.00/34.64 (step @p112 :rule refl :args (@t37)) % 34.00/34.64 (step @p113 :rule symm :premises (@p62)) % 34.00/34.64 (step @p114 :rule symm :premises (@p52)) % 34.00/34.64 (step @p115 :rule cong :premises (@p108 @p114) :args ((tptp.add @t39 @t96))) % 34.00/34.64 (step @p116 :rule trans :premises (@p115 @p113)) % 34.00/34.64 (step @p117 :rule symm :premises (@p57)) % 34.00/34.64 (step @p118 :rule trans :premises (@p117 @p52)) % 34.00/34.64 (step @p119 :rule cong :premises (@p108 @p118) :args ((tptp.add @t39 @t100))) % 34.00/34.64 (step @p120 :rule symm :premises (@p119)) % 34.00/34.64 (step @p121 :rule symm :premises (@p25)) % 34.00/34.64 (step @p122 :rule symm :premises (@p30)) % 34.00/34.64 (step @p123 :rule refl :args (tptp.x)) % 34.00/34.64 (step @p124 :rule cong :premises (@p123 @p122) :args (@t71)) % 34.00/34.64 (step @p125 :rule symm :premises (@p34)) % 34.00/34.64 (step @p126 :rule trans :premises (@p125 @p124)) % 34.00/34.64 (step @p127 :rule refl :args (@t42)) % 34.00/34.64 (step @p128 :rule cong :premises (@p127 @p126) :args (@t81)) % 34.00/34.64 (step @p129 :rule symm :premises (@p38)) % 34.00/34.64 (step @p130 :rule symm :premises (@p42)) % 34.00/34.64 (step @p131 :rule trans :premises (@p130 @p129 @p128 @p121 @p52)) % 34.00/34.64 (step @p132 :rule cong :premises (@p108 @p131) :args (@t106)) % 34.00/34.64 (step @p133 :rule symm :premises (@p64)) % 34.00/34.64 (step @p134 :rule symm :premises (@p40)) % 34.00/34.64 (step @p135 :rule symm :premises (@p51)) % 34.00/34.64 (step @p136 :rule trans :premises (@p135 @p24)) % 34.00/34.64 (step @p137 :rule cong :premises (@p136 @p134) :args (@t102)) % 34.00/34.64 (step @p138 :rule symm :premises (@p58)) % 34.00/34.64 (step @p139 :rule refl :args (@t34)) % 34.00/34.64 (step @p140 :rule cong :premises (@p46 @p139) :args (@t35)) % 34.00/34.64 (step @p141 :rule trans :premises (@p140 @p47)) % 34.00/34.64 (step @p142 :rule cong :premises (@p141 @p127) :args (@t86)) % 34.00/34.64 (step @p143 :rule trans :premises (@p40 @p142 @p138 @p137 @p133 @p132 @p120)) % 34.00/34.64 (step @p144 :rule trans :premises (@p143 @p119 @p116)) % 34.00/34.64 (step @p145 :rule cong :premises (@p144 @p112) :args (@t108)) % 34.00/34.64 (step @p146 :rule symm :premises (@p53)) % 34.00/34.64 (step @p147 :rule trans :premises (@p146 @p29)) % 34.00/34.64 (step @p148 :rule cong :premises (@p127 @p147) :args (@t110)) % 34.00/34.64 (step @p149 :rule cong :premises (@p127 @p146) :args (@t110)) % 34.00/34.64 (step @p150 :rule symm :premises (@p149)) % 34.00/34.64 (step @p151 :rule trans :premises (@p63 @p150 @p148 @p65 @p145)) % 34.00/34.64 (step @p152 :rule symm :premises (@p17)) % 34.00/34.64 (step @p153 :rule refl :args (@t36)) % 34.00/34.64 (step @p154 :rule cong :premises (@p153 @p152) :args (@t74)) % 34.00/34.64 (step @p155 :rule symm :premises (@p35)) % 34.00/34.64 (step @p156 :rule trans :premises (@p155 @p154)) % 34.00/34.64 (step @p157 :rule trans :premises (@p156 @p31)) % 34.00/34.64 (step @p158 :rule cong :premises (@p157 @p151) :args ((tptp.add @t73 @t42))) % 34.00/34.64 (step @p159 :rule symm :premises (@p156)) % 34.00/34.64 (step @p160 :rule cong :premises (@p159 @p127) :args (@t55)) % 34.00/34.64 (step @p161 :rule trans :premises (@p20 @p160 @p158 @p111 @p110 @p109 @p101 @p100 @p99)) % 34.00/34.64 (step-pop @p230 :rule scope :premises (@p161)) % 34.00/34.64 (step-pop @p231 :rule scope :premises (@p230)) % 34.00/34.64 (step-pop @p232 :rule scope :premises (@p231)) % 34.00/34.64 (step-pop @p233 :rule scope :premises (@p232)) % 34.00/34.64 (step-pop @p234 :rule scope :premises (@p233)) % 34.00/34.64 (step-pop @p235 :rule scope :premises (@p234)) % 34.00/34.64 (step-pop @p236 :rule scope :premises (@p235)) % 34.00/34.64 (step-pop @p237 :rule scope :premises (@p236)) % 34.00/34.64 (step-pop @p238 :rule scope :premises (@p237)) % 34.00/34.64 (step-pop @p239 :rule scope :premises (@p238)) % 34.00/34.64 (step-pop @p240 :rule scope :premises (@p239)) % 34.00/34.64 (step-pop @p241 :rule scope :premises (@p240)) % 34.00/34.64 (step-pop @p242 :rule scope :premises (@p241)) % 34.00/34.64 (step-pop @p243 :rule scope :premises (@p242)) % 34.00/34.64 (step-pop @p244 :rule scope :premises (@p243)) % 34.00/34.64 (step-pop @p245 :rule scope :premises (@p244)) % 34.00/34.64 (step-pop @p246 :rule scope :premises (@p245)) % 34.00/34.64 (step-pop @p247 :rule scope :premises (@p246)) % 34.00/34.64 (step-pop @p248 :rule scope :premises (@p247)) % 34.00/34.64 (step-pop @p249 :rule scope :premises (@p248)) % 34.00/34.64 (step-pop @p250 :rule scope :premises (@p249)) % 34.00/34.64 (step-pop @p251 :rule scope :premises (@p250)) % 34.00/34.64 (step-pop @p252 :rule scope :premises (@p251)) % 34.00/34.64 (step-pop @p253 :rule scope :premises (@p252)) % 34.00/34.64 (step-pop @p254 :rule scope :premises (@p253)) % 34.00/34.64 (step-pop @p255 :rule scope :premises (@p254)) % 34.00/34.64 (step-pop @p256 :rule scope :premises (@p255)) % 34.00/34.64 (step-pop @p257 :rule scope :premises (@p256)) % 34.00/34.64 (step-pop @p258 :rule scope :premises (@p257)) % 34.00/34.64 (step-pop @p259 :rule scope :premises (@p258)) % 34.00/34.64 (step-pop @p260 :rule scope :premises (@p259)) % 34.00/34.64 (step @p162 :rule process_scope :premises (@p260) :args (@t29)) % 34.00/34.64 (step @p194 :rule implies_elim :premises (@p162)) % 34.00/34.64 (step @p195 :rule cnf_and_neg :args (@t111)) % 34.00/34.64 (step @p196 :rule resolution :premises (@p195 @p194) :args (true @t111)) % 34.00/34.64 (step @p197 :rule reordering :premises (@p196) :args ((or @t29 (not @t49) (not @t51) (not @t53) (not @t56) (not @t58) (not @t59) (not @t61) (not @t63) (not @t64) (not @t66) (not @t69) (not @t72) (not @t75) (not @t76) (not @t79) (not @t82) (not @t85) (not @t87) (not @t88) (not @t90) (not @t92) (not @t94) (not @t95) (not @t97) (not @t99) (not @t101) (not @t103) (not @t104) (not @t105) (not @t107) (not @t109)))) % 34.00/34.64 (step @p198 false :rule chain_m_resolution :premises (@p197 @p65 @p64 @p63 @p62 @p58 @p57 @p53 @p52 @p51 @p47 @p46 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p25 @p24 @p20 @p19 @p18 @p17 @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 true) (@list @t109 @t107 @t105 @t104 @t103 @t101 @t99 @t97 @t95 @t94 @t92 @t90 @t88 @t87 @t85 @t82 @t79 @t76 @t75 @t72 @t69 @t66 @t64 @t63 @t61 @t59 @t58 @t56 @t53 @t51 @t49 @t29))) % 34.00/34.64 ) % 34.00/34.65 % SZS output end Proof % 34.00/34.65 % cvc5 exiting %------------------------------------------------------------------------------