%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : BOO005-1 : 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 : n027.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 08:08:59 AM UTC 2026 % Result : Unsatisfiable 4.54s 4.72s % Output : Proof 4.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : BOO005-1 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:35:21 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.54/4.72 % SZS status Unsatisfiable % 4.54/4.72 % SZS output start Proof % 4.54/4.73 ( % 4.54/4.73 (declare-sort $$unsorted 0) % 4.54/4.73 (declare-const tptp.x $$unsorted) % 4.54/4.73 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 4.54/4.73 (declare-const tptp.multiplicative_identity $$unsorted) % 4.54/4.73 (declare-const tptp.additive_identity $$unsorted) % 4.54/4.73 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.54/4.73 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 4.54/4.73 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.54/4.73 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 4.54/4.73 (define @t1 () (@var "Y" $$unsorted)) % 4.54/4.73 (define @t2 () (@var "X" $$unsorted)) % 4.54/4.73 (define @t3 () (@list @t2 @t1)) % 4.54/4.73 (define @t4 () (@var "Z" $$unsorted)) % 4.54/4.73 (define @t5 () (@list @t2 @t1 @t4)) % 4.54/4.73 (define @t6 () (@list @t2)) % 4.54/4.73 (define @t7 () (@var "V4" $$unsorted)) % 4.54/4.73 (define @t8 () (@var "V2" $$unsorted)) % 4.54/4.73 (define @t9 () (@var "V1" $$unsorted)) % 4.54/4.73 (define @t10 () (tptp.sum @t9 @t8 @t7)) % 4.54/4.73 (define @t11 () (@var "V3" $$unsorted)) % 4.54/4.73 (define @t12 () (tptp.product @t2 @t11 @t7)) % 4.54/4.73 (define @t13 () (not (tptp.sum @t1 @t4 @t11))) % 4.54/4.73 (define @t14 () (not (tptp.product @t2 @t4 @t8))) % 4.54/4.73 (define @t15 () (not (tptp.product @t2 @t1 @t9))) % 4.54/4.73 (define @t16 () (@list @t2 @t1 @t9 @t4 @t8 @t11 @t7)) % 4.54/4.73 (define @t17 () (not @t10)) % 4.54/4.73 (define @t18 () (tptp.product @t11 @t2 @t7)) % 4.54/4.73 (define @t19 () (not (tptp.product @t4 @t2 @t8))) % 4.54/4.73 (define @t20 () (not (tptp.product @t1 @t2 @t9))) % 4.54/4.73 (define @t21 () (@list @t1 @t2 @t9 @t4 @t8 @t11 @t7)) % 4.54/4.73 (define @t22 () (tptp.product @t9 @t8 @t7)) % 4.54/4.73 (define @t23 () (tptp.sum @t2 @t11 @t7)) % 4.54/4.73 (define @t24 () (not (tptp.product @t1 @t4 @t11))) % 4.54/4.73 (define @t25 () (not (tptp.sum @t2 @t4 @t8))) % 4.54/4.73 (define @t26 () (not (tptp.sum @t2 @t1 @t9))) % 4.54/4.73 (define @t27 () (not @t22)) % 4.54/4.73 (define @t28 () (tptp.sum @t11 @t2 @t7)) % 4.54/4.73 (define @t29 () (not (tptp.sum @t4 @t2 @t8))) % 4.54/4.73 (define @t30 () (not (tptp.sum @t1 @t2 @t9))) % 4.54/4.73 (define @t31 () (tptp.inverse @t2)) % 4.54/4.73 (define @t32 () (@var "V" $$unsorted)) % 4.54/4.73 (define @t33 () (@var "U" $$unsorted)) % 4.54/4.73 (define @t34 () (= @t33 @t32)) % 4.54/4.73 (define @t35 () (@list @t2 @t1 @t33 @t32)) % 4.54/4.73 (define @t36 () (forall @t35 (or (not (tptp.sum @t2 @t1 @t33)) (not (tptp.sum @t2 @t1 @t32)) @t34))) % 4.54/4.73 (define @t37 () (tptp.sum tptp.x tptp.multiplicative_identity tptp.multiplicative_identity)) % 4.54/4.73 (define @t38 () (tptp.add tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t39 () (tptp.add tptp.multiplicative_identity tptp.x)) % 4.54/4.73 (define @t40 () (tptp.sum tptp.x tptp.multiplicative_identity @t39)) % 4.54/4.73 (define @t41 () (tptp.sum tptp.multiplicative_identity tptp.x @t39)) % 4.54/4.73 (define @t42 () (not @t41)) % 4.54/4.73 (define @t43 () (or @t42 @t40)) % 4.54/4.73 (define @t44 () (@list false false)) % 4.54/4.73 (define @t45 () (@list tptp.x)) % 4.54/4.73 (define @t46 () (@list tptp.multiplicative_identity)) % 4.54/4.73 (define @t47 () (tptp.product tptp.multiplicative_identity @t39 tptp.multiplicative_identity)) % 4.54/4.73 (define @t48 () (not @t47)) % 4.54/4.73 (define @t49 () (not @t40)) % 4.54/4.73 (define @t50 () (tptp.product tptp.multiplicative_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 4.54/4.73 (define @t51 () (not @t50)) % 4.54/4.73 (define @t52 () (tptp.product tptp.multiplicative_identity tptp.x tptp.x)) % 4.54/4.73 (define @t53 () (not @t52)) % 4.54/4.73 (define @t54 () (or @t53 @t51 @t49 @t48 @t37)) % 4.54/4.73 (define @t55 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t56 () (tptp.multiply tptp.additive_identity tptp.x)) % 4.54/4.73 (define @t57 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t58 () (not @t57)) % 4.54/4.73 (define @t59 () (tptp.sum tptp.additive_identity tptp.additive_identity @t38)) % 4.54/4.73 (define @t60 () (not @t59)) % 4.54/4.73 (define @t61 () (or @t60 @t58 (= @t38 tptp.additive_identity))) % 4.54/4.73 (define @t62 () (= tptp.additive_identity @t38)) % 4.54/4.73 (define @t63 () (or @t60 @t58 @t62)) % 4.54/4.73 (define @t64 () (@list false)) % 4.54/4.73 (define @t65 () (@list @t36)) % 4.54/4.73 (define @t66 () (@list tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t67 () (@list tptp.additive_identity)) % 4.54/4.73 (define @t68 () (@list false false false)) % 4.54/4.73 (define @t69 () (tptp.product @t38 tptp.x @t56)) % 4.54/4.73 (define @t70 () (tptp.inverse tptp.additive_identity)) % 4.54/4.73 (define @t71 () (tptp.sum @t55 tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t72 () (tptp.product tptp.multiplicative_identity tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t73 () (not @t72)) % 4.54/4.73 (define @t74 () (tptp.sum tptp.additive_identity @t70 tptp.multiplicative_identity)) % 4.54/4.73 (define @t75 () (not @t74)) % 4.54/4.73 (define @t76 () (tptp.product @t70 tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t77 () (not @t76)) % 4.54/4.73 (define @t78 () (tptp.product tptp.additive_identity tptp.additive_identity @t55)) % 4.54/4.73 (define @t79 () (not @t78)) % 4.54/4.73 (define @t80 () (or @t79 @t77 @t75 @t73 @t71)) % 4.54/4.73 (define @t81 () (@list false false false false false)) % 4.54/4.73 (define @t82 () (tptp.product @t38 tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t83 () (not @t71)) % 4.54/4.73 (define @t84 () (or @t60 @t58 @t79 @t83 @t82)) % 4.54/4.73 (define @t85 () (tptp.sum @t55 tptp.additive_identity @t55)) % 4.54/4.73 (define @t86 () (not @t85)) % 4.54/4.73 (define @t87 () (or @t86 @t83 (= @t55 tptp.additive_identity))) % 4.54/4.73 (define @t88 () (= tptp.additive_identity @t55)) % 4.54/4.73 (define @t89 () (or @t86 @t83 @t88)) % 4.54/4.73 (define @t90 () (or @t58 @t58 @t79 @t79 @t85)) % 4.54/4.73 (define @t91 () (tptp.product @t38 tptp.additive_identity @t55)) % 4.54/4.73 (define @t92 () (tptp.inverse tptp.x)) % 4.54/4.73 (define @t93 () (tptp.product tptp.x tptp.additive_identity @t56)) % 4.54/4.73 (define @t94 () (tptp.product tptp.additive_identity tptp.x @t56)) % 4.54/4.73 (define @t95 () (not @t94)) % 4.54/4.73 (define @t96 () (or @t95 @t93)) % 4.54/4.73 (define @t97 () (tptp.sum @t56 tptp.additive_identity tptp.additive_identity)) % 4.54/4.73 (define @t98 () (tptp.product tptp.x @t92 tptp.additive_identity)) % 4.54/4.73 (define @t99 () (not @t98)) % 4.54/4.73 (define @t100 () (tptp.sum tptp.additive_identity @t92 @t92)) % 4.54/4.73 (define @t101 () (not @t100)) % 4.54/4.73 (define @t102 () (not @t93)) % 4.54/4.73 (define @t103 () (or @t102 @t99 @t101 @t99 @t97)) % 4.54/4.73 (define @t104 () (@list false false false false)) % 4.54/4.73 (define @t105 () (tptp.sum @t56 @t55 @t38)) % 4.54/4.73 (define @t106 () (tptp.product @t38 tptp.x @t38)) % 4.54/4.73 (define @t107 () (not @t105)) % 4.54/4.73 (define @t108 () (tptp.sum tptp.x tptp.additive_identity tptp.x)) % 4.54/4.73 (define @t109 () (not @t108)) % 4.54/4.73 (define @t110 () (not @t91)) % 4.54/4.73 (define @t111 () (not @t69)) % 4.54/4.73 (define @t112 () (or @t111 @t110 @t109 @t107 @t106)) % 4.54/4.73 (define @t113 () (not (tptp.sum tptp.multiplicative_identity @t38 tptp.multiplicative_identity))) % 4.54/4.73 (define @t114 () (not @t106)) % 4.54/4.73 (define @t115 () (or @t113 @t42 @t114 @t113 @t47)) % 4.54/4.73 (define @t116 () (tptp.sum tptp.additive_identity @t70 @t70)) % 4.54/4.73 (define @t117 () (tptp.product @t70 tptp.multiplicative_identity @t70)) % 4.54/4.73 (define @t118 () (not @t117)) % 4.54/4.73 (define @t119 () (tptp.sum tptp.additive_identity tptp.multiplicative_identity tptp.multiplicative_identity)) % 4.54/4.73 (define @t120 () (not @t119)) % 4.54/4.73 (define @t121 () (or @t77 @t118 @t120 @t118 @t116)) % 4.54/4.73 (define @t122 () (= tptp.multiplicative_identity @t70)) % 4.54/4.73 (define @t123 () (not @t116)) % 4.54/4.73 (define @t124 () (or @t75 @t123 @t122)) % 4.54/4.73 (assume @p1 (forall @t3 (tptp.sum @t2 @t1 (tptp.add @t2 @t1)))) % 4.54/4.73 (assume @p2 (forall @t3 (tptp.product @t2 @t1 (tptp.multiply @t2 @t1)))) % 4.54/4.73 (assume @p3 (forall @t5 (or (not (tptp.sum @t2 @t1 @t4)) (tptp.sum @t1 @t2 @t4)))) % 4.54/4.73 (assume @p4 (forall @t5 (or (not (tptp.product @t2 @t1 @t4)) (tptp.product @t1 @t2 @t4)))) % 4.54/4.73 (assume @p5 (forall @t6 (tptp.sum tptp.additive_identity @t2 @t2))) % 4.54/4.73 (assume @p6 (forall @t6 (tptp.sum @t2 tptp.additive_identity @t2))) % 4.54/4.73 (assume @p7 (forall @t6 (tptp.product tptp.multiplicative_identity @t2 @t2))) % 4.54/4.73 (assume @p8 (forall @t6 (tptp.product @t2 tptp.multiplicative_identity @t2))) % 4.54/4.73 (assume @p9 (forall @t16 (or @t15 @t14 @t13 (not @t12) @t10))) % 4.54/4.73 (assume @p10 (forall @t16 (or @t15 @t14 @t13 @t17 @t12))) % 4.54/4.73 (assume @p11 (forall @t21 (or @t20 @t19 @t13 (not @t18) @t10))) % 4.54/4.73 (assume @p12 (forall @t21 (or @t20 @t19 @t13 @t17 @t18))) % 4.54/4.73 (assume @p13 (forall @t16 (or @t26 @t25 @t24 (not @t23) @t22))) % 4.54/4.73 (assume @p14 (forall @t16 (or @t26 @t25 @t24 @t27 @t23))) % 4.54/4.73 (assume @p15 (forall @t21 (or @t30 @t29 @t24 (not @t28) @t22))) % 4.54/4.73 (assume @p16 (forall @t21 (or @t30 @t29 @t24 @t27 @t28))) % 4.54/4.73 (assume @p17 (forall @t6 (tptp.sum @t31 @t2 tptp.multiplicative_identity))) % 4.54/4.73 (assume @p18 (forall @t6 (tptp.sum @t2 @t31 tptp.multiplicative_identity))) % 4.54/4.73 (assume @p19 (forall @t6 (tptp.product @t31 @t2 tptp.additive_identity))) % 4.54/4.73 (assume @p20 (forall @t6 (tptp.product @t2 @t31 tptp.additive_identity))) % 4.54/4.73 (assume @p21 @t36) % 4.54/4.73 (assume @p22 (forall @t35 (or (not (tptp.product @t2 @t1 @t33)) (not (tptp.product @t2 @t1 @t32)) @t34))) % 4.54/4.73 (assume @p23 (not @t37)) % 4.54/4.73 (step @p24 :rule evaluate :args ((= true false))) % 4.54/4.73 (step @p25 :rule instantiate :premises (@p13) :args ((@list tptp.multiplicative_identity @t38 tptp.multiplicative_identity tptp.x @t39 @t38 tptp.multiplicative_identity))) % 4.54/4.73 (step @p26 :rule instantiate :premises (@p9) :args ((@list tptp.multiplicative_identity tptp.x tptp.x tptp.multiplicative_identity tptp.multiplicative_identity @t39 tptp.multiplicative_identity))) % 4.54/4.73 (step @p27 :rule instantiate :premises (@p3) :args ((@list tptp.multiplicative_identity tptp.x @t39))) % 4.54/4.73 (step @p28 :rule instantiate :premises (@p1) :args ((@list tptp.multiplicative_identity tptp.x))) % 4.54/4.73 (step @p29 :rule cnf_or_pos :args (@t43)) % 4.54/4.73 (step @p30 :rule reordering :premises (@p29) :args ((or @t42 @t40 (not @t43)))) % 4.54/4.73 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t40 @t44 (@list @t41 @t43))) % 4.54/4.73 (step @p32 :rule instantiate :premises (@p7) :args (@t45)) % 4.54/4.73 (step @p33 :rule instantiate :premises (@p7) :args (@t46)) % 4.54/4.73 (step @p34 :rule cnf_or_pos :args (@t54)) % 4.54/4.73 (step @p35 :rule reordering :premises (@p34) :args ((or @t37 @t51 @t53 @t49 @t48 (not @t54)))) % 4.54/4.73 (step @p36 :rule chain_m_resolution :premises (@p35 @p23 @p33 @p32 @p31 @p26) :args (@t48 (@list true false false false false) (@list @t37 @t50 @t52 @t40 @t54))) % 4.54/4.73 (step @p37 :rule instantiate :premises (@p10) :args ((@list @t38 tptp.x @t56 tptp.additive_identity @t55 tptp.x @t38))) % 4.54/4.73 (step @p38 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity tptp.x))) % 4.54/4.73 (step @p39 :rule true_intro :premises (@p38)) % 4.54/4.73 (step @p40 :rule refl :args (@t56)) % 4.54/4.73 (step @p41 :rule refl :args (tptp.x)) % 4.54/4.73 (step @p42 :rule eq-symm :args (@t38 tptp.additive_identity)) % 4.54/4.73 (step @p43 :rule refl :args (@t58)) % 4.54/4.73 (step @p44 :rule refl :args (@t60)) % 4.54/4.73 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t61)) % 4.54/4.73 (step @p46 :rule refl :args (@t36)) % 4.54/4.73 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t36 @t61))) % 4.54/4.73 (assume-push @p146 @t36) % 4.54/4.73 (step @p49 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity tptp.additive_identity @t38 tptp.additive_identity))) % 4.54/4.73 (step-pop @p147 :rule scope :premises (@p49)) % 4.54/4.73 (step @p50 :rule process_scope :premises (@p147) :args (@t61)) % 4.54/4.73 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 4.54/4.73 (step @p53 :rule implies_elim :premises (@p52)) % 4.54/4.73 (step @p54 :rule chain_m_resolution :premises (@p53 @p21) :args (@t63 @t64 @t65)) % 4.54/4.73 (step @p55 :rule instantiate :premises (@p1) :args (@t66)) % 4.54/4.73 (step @p56 :rule instantiate :premises (@p5) :args (@t67)) % 4.54/4.73 (step @p57 :rule cnf_or_pos :args (@t63)) % 4.54/4.73 (step @p58 :rule reordering :premises (@p57) :args ((or @t58 @t60 @t62 (not @t63)))) % 4.54/4.73 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55 @p54) :args (@t62 @t68 (@list @t57 @t59 @t63))) % 4.54/4.73 (step @p60 :rule symm :premises (@p59)) % 4.54/4.73 (step @p61 :rule cong :premises (@p60 @p41 @p40) :args (@t69)) % 4.54/4.73 (step @p62 :rule trans :premises (@p61 @p39)) % 4.54/4.73 (step @p63 :rule true_elim :premises (@p62)) % 4.54/4.73 (step @p64 :rule instantiate :premises (@p15) :args ((@list tptp.additive_identity tptp.additive_identity @t38 tptp.additive_identity tptp.additive_identity @t55 tptp.additive_identity))) % 4.54/4.73 (step @p65 :rule instantiate :premises (@p11) :args ((@list tptp.additive_identity tptp.additive_identity @t55 @t70 tptp.additive_identity tptp.multiplicative_identity tptp.additive_identity))) % 4.54/4.73 (step @p66 :rule instantiate :premises (@p19) :args (@t67)) % 4.54/4.73 (step @p67 :rule instantiate :premises (@p18) :args (@t67)) % 4.54/4.73 (step @p68 :rule instantiate :premises (@p7) :args (@t67)) % 4.54/4.73 (step @p69 :rule instantiate :premises (@p2) :args (@t66)) % 4.54/4.73 (step @p70 :rule cnf_or_pos :args (@t80)) % 4.54/4.73 (step @p71 :rule reordering :premises (@p70) :args ((or @t79 @t73 @t75 @t77 @t71 (not @t80)))) % 4.54/4.73 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p68 @p67 @p66 @p65) :args (@t71 @t81 (@list @t78 @t72 @t74 @t76 @t80))) % 4.54/4.73 (step @p73 :rule cnf_or_pos :args (@t84)) % 4.54/4.73 (step @p74 :rule reordering :premises (@p73) :args ((or @t58 @t60 @t79 @t83 @t82 (not @t84)))) % 4.54/4.73 (step @p75 :rule chain_m_resolution :premises (@p74 @p56 @p55 @p69 @p72 @p64) :args (@t82 @t81 (@list @t57 @t59 @t78 @t71 @t84))) % 4.54/4.73 (step @p76 :rule true_intro :premises (@p75)) % 4.54/4.73 (step @p77 :rule refl :args (tptp.additive_identity)) % 4.54/4.73 (step @p78 :rule cong :premises (@p59 @p77 @p77) :args ((tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity))) % 4.54/4.73 (step @p79 :rule eq-symm :args (@t55 tptp.additive_identity)) % 4.54/4.73 (step @p80 :rule refl :args (@t83)) % 4.54/4.73 (step @p81 :rule refl :args (@t86)) % 4.54/4.73 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t87)) % 4.54/4.73 (step @p83 :rule cong :premises (@p46 @p82) :args ((=> @t36 @t87))) % 4.54/4.73 (assume-push @p148 @t36) % 4.54/4.73 (step @p85 :rule instantiate :premises (@p21) :args ((@list @t55 tptp.additive_identity @t55 tptp.additive_identity))) % 4.54/4.73 (step-pop @p149 :rule scope :premises (@p85)) % 4.54/4.73 (step @p86 :rule process_scope :premises (@p149) :args (@t87)) % 4.54/4.73 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 4.54/4.73 (step @p89 :rule implies_elim :premises (@p88)) % 4.54/4.73 (step @p90 :rule chain_m_resolution :premises (@p89 @p21) :args (@t89 @t64 @t65)) % 4.54/4.73 (step @p91 :rule instantiate :premises (@p16) :args ((@list tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.additive_identity @t55 @t55))) % 4.54/4.73 (step @p92 :rule cnf_or_pos :args (@t90)) % 4.54/4.73 (step @p93 :rule factoring :premises (@p92)) % 4.54/4.73 (step @p94 :rule reordering :premises (@p93) :args ((or @t58 @t79 @t85 (not @t90)))) % 4.54/4.73 (step @p95 :rule chain_m_resolution :premises (@p94 @p56 @p69 @p91) :args (@t85 @t68 (@list @t57 @t78 @t90))) % 4.54/4.73 (step @p96 :rule cnf_or_pos :args (@t89)) % 4.54/4.73 (step @p97 :rule reordering :premises (@p96) :args ((or @t86 @t83 @t88 (not @t89)))) % 4.54/4.73 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p72 @p90) :args (@t88 @t68 (@list @t85 @t71 @t89))) % 4.54/4.73 (step @p99 :rule symm :premises (@p98)) % 4.54/4.73 (step @p100 :rule cong :premises (@p60 @p77 @p99) :args (@t91)) % 4.54/4.73 (step @p101 :rule trans :premises (@p100 @p78 @p76)) % 4.54/4.73 (step @p102 :rule true_elim :premises (@p101)) % 4.54/4.73 (step @p103 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.additive_identity @t56 @t92 tptp.additive_identity @t92 tptp.additive_identity))) % 4.54/4.73 (step @p104 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.x @t56))) % 4.54/4.73 (step @p105 :rule cnf_or_pos :args (@t96)) % 4.54/4.73 (step @p106 :rule reordering :premises (@p105) :args ((or @t95 @t93 (not @t96)))) % 4.54/4.73 (step @p107 :rule chain_m_resolution :premises (@p106 @p38 @p104) :args (@t93 @t44 (@list @t94 @t96))) % 4.54/4.73 (step @p108 :rule instantiate :premises (@p5) :args ((@list @t92))) % 4.54/4.73 (step @p109 :rule instantiate :premises (@p20) :args (@t45)) % 4.54/4.73 (step @p110 :rule cnf_or_pos :args (@t103)) % 4.54/4.73 (step @p111 :rule factoring :premises (@p110)) % 4.54/4.73 (step @p112 :rule reordering :premises (@p111) :args ((or @t99 @t101 @t102 @t97 (not @t103)))) % 4.54/4.73 (step @p113 :rule chain_m_resolution :premises (@p112 @p109 @p108 @p107 @p103) :args (@t97 @t104 (@list @t98 @t100 @t93 @t103))) % 4.54/4.73 (step @p114 :rule true_intro :premises (@p113)) % 4.54/4.73 (step @p115 :rule cong :premises (@p40 @p99 @p60) :args (@t105)) % 4.54/4.73 (step @p116 :rule trans :premises (@p115 @p114)) % 4.54/4.73 (step @p117 :rule true_elim :premises (@p116)) % 4.54/4.73 (step @p118 :rule instantiate :premises (@p6) :args (@t45)) % 4.54/4.73 (step @p119 :rule cnf_or_pos :args (@t112)) % 4.54/4.73 (step @p120 :rule reordering :premises (@p119) :args ((or @t109 @t106 @t107 @t110 @t111 (not @t112)))) % 4.54/4.73 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p117 @p102 @p63 @p37) :args (@t106 @t81 (@list @t108 @t105 @t91 @t69 @t112))) % 4.54/4.73 (step @p122 :rule cnf_or_pos :args (@t115)) % 4.54/4.73 (step @p123 :rule factoring :premises (@p122)) % 4.54/4.73 (step @p124 :rule reordering :premises (@p123) :args ((or @t114 @t42 @t47 @t113 (not @t115)))) % 4.54/4.73 (step @p125 :rule chain_m_resolution :premises (@p124 @p121 @p28 @p36 @p25) :args (@t113 (@list false false true false) (@list @t106 @t41 @t47 @t115))) % 4.54/4.73 (step @p126 :rule false_intro :premises (@p125)) % 4.54/4.73 (step @p127 :rule refl :args (tptp.multiplicative_identity)) % 4.54/4.73 (step @p128 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity @t70 tptp.multiplicative_identity @t70))) % 4.54/4.73 (step @p129 :rule instantiate :premises (@p9) :args ((@list @t70 tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity @t70 tptp.multiplicative_identity @t70))) % 4.54/4.73 (step @p130 :rule instantiate :premises (@p8) :args ((@list @t70))) % 4.54/4.73 (step @p131 :rule instantiate :premises (@p5) :args (@t46)) % 4.54/4.73 (step @p132 :rule cnf_or_pos :args (@t121)) % 4.54/4.73 (step @p133 :rule factoring :premises (@p132)) % 4.54/4.73 (step @p134 :rule reordering :premises (@p133) :args ((or @t77 @t120 @t118 @t116 (not @t121)))) % 4.54/4.73 (step @p135 :rule chain_m_resolution :premises (@p134 @p66 @p131 @p130 @p129) :args (@t116 @t104 (@list @t76 @t119 @t117 @t121))) % 4.54/4.73 (step @p136 :rule cnf_or_pos :args (@t124)) % 4.54/4.73 (step @p137 :rule reordering :premises (@p136) :args ((or @t75 @t123 @t122 (not @t124)))) % 4.54/4.73 (step @p138 :rule chain_m_resolution :premises (@p137 @p67 @p135 @p128) :args (@t122 @t68 (@list @t74 @t116 @t124))) % 4.54/4.73 (step @p139 :rule symm :premises (@p138)) % 4.54/4.73 (step @p140 :rule cong :premises (@p139 @p59 @p127) :args ((tptp.sum @t70 tptp.additive_identity tptp.multiplicative_identity))) % 4.54/4.73 (step @p141 :rule instantiate :premises (@p17) :args (@t67)) % 4.54/4.73 (step @p142 :rule true_intro :premises (@p141)) % 4.54/4.73 (step @p143 :rule symm :premises (@p142)) % 4.54/4.73 (step @p144 :rule trans :premises (@p143 @p140 @p126)) % 4.54/4.73 (step @p145 false :rule eq_resolve :premises (@p144 @p24)) % 4.54/4.73 ) % 4.54/4.73 % SZS output end Proof % 4.54/4.73 % cvc5 exiting %------------------------------------------------------------------------------