%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG001-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:45:19 AM UTC 2026 % Result : Unsatisfiable 27.44s 27.85s % Output : Proof 27.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG001-2 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.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 : Tue Jun 2 13:54:36 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.32/15.54 --- Run --no-e-matching --full-saturate-quant at 6... % 21.33/21.56 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.32/27.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.44/27.85 % SZS status Unsatisfiable % 27.44/27.85 % SZS output start Proof % 27.44/27.86 ( % 27.44/27.86 (declare-sort $$unsorted 0) % 27.44/27.86 (declare-const tptp.a $$unsorted) % 27.44/27.86 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 27.44/27.86 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 27.44/27.86 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.44/27.86 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 27.44/27.86 (declare-const tptp.additive_identity $$unsorted) % 27.44/27.86 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 27.44/27.86 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.44/27.86 (define @t1 () (@var "B" $$unsorted)) % 27.44/27.86 (define @t2 () (@var "D" $$unsorted)) % 27.44/27.86 (define @t3 () (@var "C" $$unsorted)) % 27.44/27.86 (define @t4 () (@var "A" $$unsorted)) % 27.44/27.86 (define @t5 () (@var "X" $$unsorted)) % 27.44/27.86 (define @t6 () (@list @t5)) % 27.44/27.86 (define @t7 () (@var "Y" $$unsorted)) % 27.44/27.86 (define @t8 () (@list @t5 @t7)) % 27.44/27.86 (define @t9 () (tptp.additive_inverse @t5)) % 27.44/27.86 (define @t10 () (@var "W" $$unsorted)) % 27.44/27.86 (define @t11 () (@var "V" $$unsorted)) % 27.44/27.86 (define @t12 () (tptp.sum @t5 @t11 @t10)) % 27.44/27.86 (define @t13 () (@var "Z" $$unsorted)) % 27.44/27.86 (define @t14 () (@var "U" $$unsorted)) % 27.44/27.86 (define @t15 () (tptp.sum @t14 @t13 @t10)) % 27.44/27.86 (define @t16 () (not (tptp.sum @t7 @t13 @t11))) % 27.44/27.86 (define @t17 () (not (tptp.sum @t5 @t7 @t14))) % 27.44/27.86 (define @t18 () (@list @t5 @t7 @t14 @t13 @t11 @t10)) % 27.44/27.86 (define @t19 () (forall @t18 (or @t17 @t16 (not @t15) @t12))) % 27.44/27.86 (define @t20 () (tptp.product @t5 @t11 @t10)) % 27.44/27.86 (define @t21 () (tptp.product @t14 @t13 @t10)) % 27.44/27.86 (define @t22 () (not (tptp.product @t7 @t13 @t11))) % 27.44/27.86 (define @t23 () (not (tptp.product @t5 @t7 @t14))) % 27.44/27.86 (define @t24 () (@var "V4" $$unsorted)) % 27.44/27.86 (define @t25 () (@var "V2" $$unsorted)) % 27.44/27.86 (define @t26 () (@var "V1" $$unsorted)) % 27.44/27.86 (define @t27 () (tptp.sum @t26 @t25 @t24)) % 27.44/27.86 (define @t28 () (@var "V3" $$unsorted)) % 27.44/27.86 (define @t29 () (tptp.product @t5 @t28 @t24)) % 27.44/27.86 (define @t30 () (not (tptp.sum @t7 @t13 @t28))) % 27.44/27.86 (define @t31 () (not (tptp.product @t5 @t13 @t25))) % 27.44/27.86 (define @t32 () (not (tptp.product @t5 @t7 @t26))) % 27.44/27.86 (define @t33 () (@list @t5 @t7 @t26 @t13 @t25 @t28 @t24)) % 27.44/27.86 (define @t34 () (not @t27)) % 27.44/27.86 (define @t35 () (tptp.product @t28 @t5 @t24)) % 27.44/27.86 (define @t36 () (not (tptp.product @t13 @t5 @t25))) % 27.44/27.86 (define @t37 () (not (tptp.product @t7 @t5 @t26))) % 27.44/27.86 (define @t38 () (@list @t7 @t5 @t26 @t13 @t25 @t28 @t24)) % 27.44/27.86 (define @t39 () (tptp.product tptp.a tptp.additive_identity tptp.additive_identity)) % 27.44/27.86 (define @t40 () (tptp.multiply tptp.additive_identity tptp.additive_identity)) % 27.44/27.86 (define @t41 () (tptp.additive_inverse tptp.a)) % 27.44/27.86 (define @t42 () (tptp.multiply @t41 tptp.additive_identity)) % 27.44/27.86 (define @t43 () (tptp.multiply tptp.a tptp.additive_identity)) % 27.44/27.86 (define @t44 () (@list tptp.a)) % 27.44/27.86 (define @t45 () (tptp.sum @t43 @t42 @t40)) % 27.44/27.86 (define @t46 () (tptp.product tptp.additive_identity tptp.additive_identity @t40)) % 27.44/27.86 (define @t47 () (not @t46)) % 27.44/27.86 (define @t48 () (tptp.sum tptp.a @t41 tptp.additive_identity)) % 27.44/27.86 (define @t49 () (not @t48)) % 27.44/27.86 (define @t50 () (tptp.product @t41 tptp.additive_identity @t42)) % 27.44/27.86 (define @t51 () (not @t50)) % 27.44/27.86 (define @t52 () (tptp.product tptp.a tptp.additive_identity @t43)) % 27.44/27.86 (define @t53 () (not @t52)) % 27.44/27.86 (define @t54 () (or @t53 @t51 @t49 @t47 @t45)) % 27.44/27.86 (define @t55 () (tptp.sum @t43 @t43 @t43)) % 27.44/27.86 (define @t56 () (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 27.44/27.86 (define @t57 () (not @t56)) % 27.44/27.86 (define @t58 () (or @t53 @t53 @t57 @t53 @t55)) % 27.44/27.86 (define @t59 () (@list false false false)) % 27.44/27.86 (define @t60 () (tptp.sum @t43 @t40 @t40)) % 27.44/27.86 (define @t61 () (not @t45)) % 27.44/27.86 (define @t62 () (not @t55)) % 27.44/27.86 (define @t63 () (or @t62 @t61 @t61 @t60)) % 27.44/27.86 (define @t64 () (tptp.sum @t43 @t43 tptp.additive_identity)) % 27.44/27.86 (define @t65 () (not @t64)) % 27.44/27.86 (define @t66 () (or @t53 @t53 @t57 @t65 @t39)) % 27.44/27.86 (define @t67 () (tptp.additive_inverse @t40)) % 27.44/27.86 (define @t68 () (@list @t40)) % 27.44/27.86 (define @t69 () (tptp.sum @t40 @t40 @t40)) % 27.44/27.86 (define @t70 () (or @t47 @t47 @t57 @t47 @t69)) % 27.44/27.86 (define @t71 () (tptp.sum tptp.additive_identity @t40 tptp.additive_identity)) % 27.44/27.86 (define @t72 () (tptp.sum @t67 @t40 tptp.additive_identity)) % 27.44/27.86 (define @t73 () (not @t72)) % 27.44/27.86 (define @t74 () (not @t69)) % 27.44/27.86 (define @t75 () (or @t73 @t74 @t73 @t71)) % 27.44/27.86 (define @t76 () (tptp.sum @t67 @t40 @t40)) % 27.44/27.86 (define @t77 () (tptp.sum tptp.additive_identity @t40 @t40)) % 27.44/27.86 (define @t78 () (not @t77)) % 27.44/27.86 (define @t79 () (or @t73 @t74 @t78 @t76)) % 27.44/27.86 (define @t80 () (@list false false false false)) % 27.44/27.86 (define @t81 () (tptp.sum @t40 @t40 tptp.additive_identity)) % 27.44/27.86 (define @t82 () (not @t71)) % 27.44/27.86 (define @t83 () (not @t76)) % 27.44/27.86 (define @t84 () (tptp.sum @t40 @t67 tptp.additive_identity)) % 27.44/27.86 (define @t85 () (not @t84)) % 27.44/27.86 (define @t86 () (or @t85 @t83 @t82 @t81)) % 27.44/27.86 (define @t87 () (tptp.product tptp.additive_identity tptp.additive_identity tptp.additive_identity)) % 27.44/27.86 (define @t88 () (not @t81)) % 27.44/27.86 (define @t89 () (or @t47 @t47 @t57 @t88 @t87)) % 27.44/27.86 (define @t90 () (tptp.sum @t43 tptp.additive_identity @t43)) % 27.44/27.86 (define @t91 () (tptp.sum tptp.a tptp.additive_identity tptp.a)) % 27.44/27.86 (define @t92 () (not @t91)) % 27.44/27.86 (define @t93 () (not @t87)) % 27.44/27.86 (define @t94 () (or @t53 @t93 @t92 @t53 @t90)) % 27.44/27.86 (define @t95 () (tptp.sum @t43 tptp.additive_identity tptp.additive_identity)) % 27.44/27.86 (define @t96 () (not @t95)) % 27.44/27.86 (define @t97 () (not @t90)) % 27.44/27.86 (define @t98 () (or @t62 @t97 @t96 @t64)) % 27.44/27.86 (define @t99 () (not @t60)) % 27.44/27.86 (define @t100 () (or @t99 @t85 @t85 @t95)) % 27.44/27.86 (define @t101 () (not @t100)) % 27.44/27.86 (assume @p1 (forall (@list @t4 @t1 @t3 @t2) (or (not (tptp.equalish @t4 @t1)) (not (tptp.sum @t3 @t2 @t4)) (tptp.sum @t3 @t2 @t1)))) % 27.44/27.86 (assume @p2 (forall @t6 (tptp.sum tptp.additive_identity @t5 @t5))) % 27.44/27.86 (assume @p3 (forall @t6 (tptp.sum @t5 tptp.additive_identity @t5))) % 27.44/27.86 (assume @p4 (forall @t8 (tptp.product @t5 @t7 (tptp.multiply @t5 @t7)))) % 27.44/27.86 (assume @p5 (forall @t8 (tptp.sum @t5 @t7 (tptp.add @t5 @t7)))) % 27.44/27.86 (assume @p6 (forall @t6 (tptp.sum @t9 @t5 tptp.additive_identity))) % 27.44/27.86 (assume @p7 (forall @t6 (tptp.sum @t5 @t9 tptp.additive_identity))) % 27.44/27.86 (assume @p8 @t19) % 27.44/27.86 (assume @p9 (forall @t18 (or @t17 @t16 (not @t12) @t15))) % 27.44/27.86 (assume @p10 (forall (@list @t5 @t7 @t13) (or (not (tptp.sum @t5 @t7 @t13)) (tptp.sum @t7 @t5 @t13)))) % 27.44/27.86 (assume @p11 (forall @t18 (or @t23 @t22 (not @t21) @t20))) % 27.44/27.86 (assume @p12 (forall @t18 (or @t23 @t22 (not @t20) @t21))) % 27.44/27.86 (assume @p13 (forall @t33 (or @t32 @t31 @t30 (not @t29) @t27))) % 27.44/27.86 (assume @p14 (forall @t33 (or @t32 @t31 @t30 @t34 @t29))) % 27.44/27.86 (assume @p15 (forall @t38 (or @t37 @t36 @t30 (not @t35) @t27))) % 27.44/27.86 (assume @p16 (forall @t38 (or @t37 @t36 @t30 @t34 @t35))) % 27.44/27.86 (assume @p17 (forall (@list @t5 @t7 @t14 @t11) (or @t17 (not (tptp.sum @t5 @t7 @t11)) (tptp.equalish @t14 @t11)))) % 27.44/27.86 (assume @p18 (not @t39)) % 27.44/27.86 (step @p19 :rule instantiate :premises (@p8) :args ((@list @t43 @t43 @t43 @t42 @t40 @t40))) % 27.44/27.86 (step @p20 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.additive_identity @t43 @t41 @t42 tptp.additive_identity @t40))) % 27.44/27.86 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t41 tptp.additive_identity))) % 27.44/27.86 (step @p22 :rule instantiate :premises (@p7) :args (@t44)) % 27.44/27.86 (step @p23 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.additive_identity))) % 27.44/27.86 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.additive_identity tptp.additive_identity))) % 27.44/27.86 (step @p25 :rule cnf_or_pos :args (@t54)) % 27.44/27.86 (step @p26 :rule reordering :premises (@p25) :args ((or @t47 @t53 @t49 @t51 @t45 (not @t54)))) % 27.44/27.86 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23 @p22 @p21 @p20) :args (@t45 (@list false false false false false) (@list @t46 @t52 @t48 @t50 @t54))) % 27.44/27.86 (step @p28 :rule instantiate :premises (@p13) :args ((@list tptp.a tptp.additive_identity @t43 tptp.additive_identity @t43 tptp.additive_identity @t43))) % 27.44/27.86 (step @p29 :rule instantiate :premises (@p2) :args ((@list tptp.additive_identity))) % 27.44/27.86 (step @p30 :rule cnf_or_pos :args (@t58)) % 27.44/27.86 (step @p31 :rule factoring :premises (@p30)) % 27.44/27.86 (step @p32 :rule reordering :premises (@p31) :args ((or @t57 @t53 @t55 (not @t58)))) % 27.44/27.86 (step @p33 :rule chain_m_resolution :premises (@p32 @p29 @p23 @p28) :args (@t55 @t59 (@list @t56 @t52 @t58))) % 27.44/27.86 (step @p34 :rule cnf_or_pos :args (@t63)) % 27.44/27.86 (step @p35 :rule factoring :premises (@p34)) % 27.44/27.86 (step @p36 :rule reordering :premises (@p35) :args ((or @t62 @t61 @t60 (not @t63)))) % 27.44/27.86 (step @p37 :rule chain_m_resolution :premises (@p36 @p33 @p27 @p19) :args (@t60 @t59 (@list @t55 @t45 @t63))) % 27.44/27.86 (step @p38 :rule instantiate :premises (@p8) :args ((@list @t43 @t43 @t43 tptp.additive_identity @t43 tptp.additive_identity))) % 27.44/27.86 (step @p39 :rule instantiate :premises (@p14) :args ((@list tptp.a tptp.additive_identity @t43 tptp.additive_identity @t43 tptp.additive_identity tptp.additive_identity))) % 27.44/27.86 (step @p40 :rule cnf_or_pos :args (@t66)) % 27.44/27.86 (step @p41 :rule factoring :premises (@p40)) % 27.44/27.86 (step @p42 :rule reordering :premises (@p41) :args ((or @t39 @t57 @t53 @t65 (not @t66)))) % 27.44/27.86 (step @p43 :rule chain_m_resolution :premises (@p42 @p18 @p29 @p23 @p39) :args (@t65 (@list true false false false) (@list @t39 @t56 @t52 @t66))) % 27.44/27.86 (step @p44 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.additive_identity @t43 tptp.additive_identity tptp.additive_identity tptp.a @t43))) % 27.44/27.86 (step @p45 :rule instantiate :premises (@p3) :args (@t44)) % 27.44/27.86 (step @p46 :rule instantiate :premises (@p14) :args ((@list tptp.additive_identity tptp.additive_identity @t40 tptp.additive_identity @t40 tptp.additive_identity tptp.additive_identity))) % 27.44/27.86 (step @p47 :rule instantiate :premises (@p8) :args ((@list @t40 @t67 tptp.additive_identity @t40 @t40 tptp.additive_identity))) % 27.44/27.86 (step @p48 :rule instantiate :premises (@p9) :args ((@list @t67 @t40 tptp.additive_identity @t40 @t40 tptp.additive_identity))) % 27.44/27.86 (step @p49 :rule instantiate :premises (@p6) :args (@t68)) % 27.44/27.86 (step @p50 :rule instantiate :premises (@p13) :args ((@list tptp.additive_identity tptp.additive_identity @t40 tptp.additive_identity @t40 tptp.additive_identity @t40))) % 27.44/27.86 (step @p51 :rule cnf_or_pos :args (@t70)) % 27.44/27.86 (step @p52 :rule factoring :premises (@p51)) % 27.44/27.86 (step @p53 :rule reordering :premises (@p52) :args ((or @t47 @t57 @t69 (not @t70)))) % 27.44/27.86 (step @p54 :rule chain_m_resolution :premises (@p53 @p24 @p29 @p50) :args (@t69 @t59 (@list @t46 @t56 @t70))) % 27.44/27.86 (step @p55 :rule cnf_or_pos :args (@t75)) % 27.44/27.86 (step @p56 :rule factoring :premises (@p55)) % 27.44/27.86 (step @p57 :rule reordering :premises (@p56) :args ((or @t74 @t73 @t71 (not @t75)))) % 27.44/27.86 (step @p58 :rule chain_m_resolution :premises (@p57 @p54 @p49 @p48) :args (@t71 @t59 (@list @t69 @t72 @t75))) % 27.44/27.86 (step @p59 :rule instantiate :premises (@p8) :args ((@list @t67 @t40 tptp.additive_identity @t40 @t40 @t40))) % 27.44/27.86 (step @p60 :rule instantiate :premises (@p2) :args (@t68)) % 27.44/27.86 (step @p61 :rule cnf_or_pos :args (@t79)) % 27.44/27.86 (step @p62 :rule reordering :premises (@p61) :args ((or @t74 @t78 @t73 @t76 (not @t79)))) % 27.44/27.86 (step @p63 :rule chain_m_resolution :premises (@p62 @p54 @p60 @p49 @p59) :args (@t76 @t80 (@list @t69 @t77 @t72 @t79))) % 27.44/27.86 (step @p64 :rule instantiate :premises (@p7) :args (@t68)) % 27.44/27.86 (step @p65 :rule cnf_or_pos :args (@t86)) % 27.44/27.86 (step @p66 :rule reordering :premises (@p65) :args ((or @t81 @t85 @t83 @t82 (not @t86)))) % 27.44/27.86 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p63 @p58 @p47) :args (@t81 @t80 (@list @t84 @t76 @t71 @t86))) % 27.44/27.86 (step @p68 :rule cnf_or_pos :args (@t89)) % 27.44/27.86 (step @p69 :rule factoring :premises (@p68)) % 27.44/27.86 (step @p70 :rule reordering :premises (@p69) :args ((or @t87 @t47 @t57 @t88 (not @t89)))) % 27.44/27.86 (step @p71 :rule chain_m_resolution :premises (@p70 @p24 @p29 @p67 @p46) :args (@t87 @t80 (@list @t46 @t56 @t81 @t89))) % 27.44/27.86 (step @p72 :rule cnf_or_pos :args (@t94)) % 27.44/27.86 (step @p73 :rule factoring :premises (@p72)) % 27.44/27.86 (step @p74 :rule reordering :premises (@p73) :args ((or @t93 @t53 @t92 @t90 (not @t94)))) % 27.44/27.86 (step @p75 :rule chain_m_resolution :premises (@p74 @p71 @p23 @p45 @p44) :args (@t90 @t80 (@list @t87 @t52 @t91 @t94))) % 27.44/27.86 (step @p76 :rule cnf_or_pos :args (@t98)) % 27.44/27.86 (step @p77 :rule reordering :premises (@p76) :args ((or @t97 @t62 @t64 @t96 (not @t98)))) % 27.44/27.86 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p33 @p43 @p38) :args (@t96 (@list false false true false) (@list @t90 @t55 @t64 @t98))) % 27.44/27.86 (step @p79 :rule cnf_or_pos :args (@t100)) % 27.44/27.86 (step @p80 :rule factoring :premises (@p79)) % 27.44/27.86 (step @p81 :rule reordering :premises (@p80) :args ((or @t85 @t95 @t99 @t101))) % 27.44/27.86 (step @p82 :rule chain_m_resolution :premises (@p81 @p64 @p78 @p37) :args (@t101 (@list false true false) (@list @t84 @t95 @t60))) % 27.44/27.86 (assume-push @p89 @t19) % 27.44/27.86 (step @p84 :rule instantiate :premises (@p8) :args ((@list @t43 @t40 @t40 @t67 tptp.additive_identity tptp.additive_identity))) % 27.44/27.86 (step-pop @p90 :rule scope :premises (@p84)) % 27.44/27.86 (step @p85 :rule process_scope :premises (@p90) :args (@t100)) % 27.44/27.86 (step @p87 :rule implies_elim :premises (@p85)) % 27.44/27.86 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p8) :args (false (@list true false) (@list @t100 @t19))) % 27.44/27.86 ) % 27.44/27.86 % SZS output end Proof % 27.44/27.86 % cvc5 exiting %------------------------------------------------------------------------------