%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG004-3 : 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 : n013.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 205.39s 205.63s % Output : Proof 205.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG004-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:54:45 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- 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... % 21.31/21.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.41/27.62 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.51/33.73 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.50/63.78 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.62/78.82 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.60/111.89 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 111.71/127.52 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.30/157.57 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.39/172.63 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.37/202.69 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.39/205.63 % SZS status Unsatisfiable % 205.39/205.63 % SZS output start Proof % 205.39/205.63 ( % 205.39/205.63 (declare-sort $$unsorted 0) % 205.39/205.63 (declare-const tptp.b $$unsorted) % 205.39/205.63 (declare-const tptp.c $$unsorted) % 205.39/205.63 (declare-const tptp.a $$unsorted) % 205.39/205.63 (declare-const tptp.additive_identity $$unsorted) % 205.39/205.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.39/205.63 (declare-const tptp.d $$unsorted) % 205.39/205.63 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 205.39/205.63 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 205.39/205.63 (declare-const tptp.product (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.39/205.63 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 205.39/205.63 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 205.39/205.63 (define @t1 () (@var "X" $$unsorted)) % 205.39/205.63 (define @t2 () (@list @t1)) % 205.39/205.63 (define @t3 () (@var "Y" $$unsorted)) % 205.39/205.63 (define @t4 () (not (tptp.equalish @t1 @t3))) % 205.39/205.63 (define @t5 () (@list @t1 @t3)) % 205.39/205.63 (define @t6 () (@var "Z" $$unsorted)) % 205.39/205.63 (define @t7 () (@list @t1 @t3 @t6)) % 205.39/205.63 (define @t8 () (tptp.additive_inverse @t1)) % 205.39/205.63 (define @t9 () (@var "W" $$unsorted)) % 205.39/205.63 (define @t10 () (@list @t1 @t3 @t9)) % 205.39/205.63 (define @t11 () (@list @t1 @t3 @t9 @t6)) % 205.39/205.63 (define @t12 () (@var "V" $$unsorted)) % 205.39/205.63 (define @t13 () (tptp.sum @t1 @t12 @t9)) % 205.39/205.63 (define @t14 () (@var "U" $$unsorted)) % 205.39/205.63 (define @t15 () (tptp.sum @t14 @t6 @t9)) % 205.39/205.63 (define @t16 () (not (tptp.sum @t3 @t6 @t12))) % 205.39/205.63 (define @t17 () (not (tptp.sum @t1 @t3 @t14))) % 205.39/205.63 (define @t18 () (@list @t1 @t3 @t14 @t6 @t12 @t9)) % 205.39/205.63 (define @t19 () (tptp.product @t1 @t12 @t9)) % 205.39/205.63 (define @t20 () (tptp.product @t14 @t6 @t9)) % 205.39/205.63 (define @t21 () (not (tptp.product @t3 @t6 @t12))) % 205.39/205.63 (define @t22 () (not (tptp.product @t1 @t3 @t14))) % 205.39/205.63 (define @t23 () (@var "V4" $$unsorted)) % 205.39/205.63 (define @t24 () (@var "V2" $$unsorted)) % 205.39/205.63 (define @t25 () (@var "V1" $$unsorted)) % 205.39/205.63 (define @t26 () (tptp.sum @t25 @t24 @t23)) % 205.39/205.63 (define @t27 () (@var "V3" $$unsorted)) % 205.39/205.63 (define @t28 () (tptp.product @t1 @t27 @t23)) % 205.39/205.63 (define @t29 () (not (tptp.sum @t3 @t6 @t27))) % 205.39/205.63 (define @t30 () (not (tptp.product @t1 @t6 @t24))) % 205.39/205.63 (define @t31 () (not (tptp.product @t1 @t3 @t25))) % 205.39/205.63 (define @t32 () (@list @t1 @t3 @t25 @t6 @t24 @t27 @t23)) % 205.39/205.63 (define @t33 () (not @t26)) % 205.39/205.63 (define @t34 () (forall @t32 (or @t31 @t30 @t29 @t33 @t28))) % 205.39/205.63 (define @t35 () (tptp.product @t27 @t1 @t23)) % 205.39/205.63 (define @t36 () (not (tptp.product @t6 @t1 @t24))) % 205.39/205.63 (define @t37 () (not (tptp.product @t3 @t1 @t25))) % 205.39/205.63 (define @t38 () (@list @t3 @t1 @t25 @t6 @t24 @t27 @t23)) % 205.39/205.63 (define @t39 () (tptp.equalish @t14 @t12)) % 205.39/205.63 (define @t40 () (@list @t1 @t3 @t14 @t12)) % 205.39/205.63 (define @t41 () (tptp.product tptp.a tptp.b tptp.c)) % 205.39/205.63 (define @t42 () (tptp.additive_inverse tptp.b)) % 205.39/205.63 (define @t43 () (tptp.additive_inverse tptp.a)) % 205.39/205.63 (define @t44 () (tptp.product @t43 @t42 tptp.d)) % 205.39/205.63 (define @t45 () (tptp.equalish tptp.c tptp.d)) % 205.39/205.63 (define @t46 () (tptp.multiply @t43 tptp.b)) % 205.39/205.63 (define @t47 () (@list tptp.b)) % 205.39/205.63 (define @t48 () (@list tptp.a)) % 205.39/205.63 (define @t49 () (tptp.sum @t46 tptp.c tptp.additive_identity)) % 205.39/205.63 (define @t50 () (tptp.product tptp.additive_identity tptp.b tptp.additive_identity)) % 205.39/205.63 (define @t51 () (not @t50)) % 205.39/205.63 (define @t52 () (tptp.sum @t43 tptp.a tptp.additive_identity)) % 205.39/205.63 (define @t53 () (not @t52)) % 205.39/205.63 (define @t54 () (not @t41)) % 205.39/205.63 (define @t55 () (tptp.product @t43 tptp.b @t46)) % 205.39/205.63 (define @t56 () (not @t55)) % 205.39/205.63 (define @t57 () (or @t56 @t54 @t53 @t51 @t49)) % 205.39/205.63 (define @t58 () (@list false false false false false)) % 205.39/205.63 (define @t59 () (@list @t43)) % 205.39/205.63 (define @t60 () (tptp.sum tptp.d @t46 tptp.additive_identity)) % 205.39/205.63 (define @t61 () (tptp.product @t43 tptp.additive_identity tptp.additive_identity)) % 205.39/205.63 (define @t62 () (not @t61)) % 205.39/205.63 (define @t63 () (tptp.sum @t42 tptp.b tptp.additive_identity)) % 205.39/205.63 (define @t64 () (not @t63)) % 205.39/205.63 (define @t65 () (not @t44)) % 205.39/205.63 (define @t66 () (or @t65 @t56 @t64 @t62 @t60)) % 205.39/205.63 (define @t67 () (tptp.sum @t43 tptp.additive_identity @t43)) % 205.39/205.63 (define @t68 () (tptp.sum tptp.additive_identity @t43 @t43)) % 205.39/205.63 (define @t69 () (not @t68)) % 205.39/205.63 (define @t70 () (or @t69 @t67)) % 205.39/205.63 (define @t71 () (tptp.sum tptp.d tptp.additive_identity tptp.d)) % 205.39/205.63 (define @t72 () (not @t67)) % 205.39/205.63 (define @t73 () (tptp.product tptp.additive_identity @t42 tptp.additive_identity)) % 205.39/205.63 (define @t74 () (not @t73)) % 205.39/205.63 (define @t75 () (or @t65 @t74 @t72 @t65 @t71)) % 205.39/205.63 (define @t76 () (@list false false false false)) % 205.39/205.63 (define @t77 () (tptp.sum tptp.additive_identity tptp.c tptp.d)) % 205.39/205.63 (define @t78 () (not @t71)) % 205.39/205.63 (define @t79 () (not @t49)) % 205.39/205.63 (define @t80 () (not @t60)) % 205.39/205.63 (define @t81 () (or @t80 @t79 @t78 @t77)) % 205.39/205.63 (define @t82 () (tptp.product tptp.a tptp.b tptp.d)) % 205.39/205.63 (define @t83 () (not @t82)) % 205.39/205.63 (define @t84 () (or @t54 @t83 @t45)) % 205.39/205.63 (define @t85 () (not @t77)) % 205.39/205.63 (define @t86 () (tptp.sum tptp.additive_identity tptp.b tptp.b)) % 205.39/205.63 (define @t87 () (not @t86)) % 205.39/205.63 (define @t88 () (tptp.product tptp.a tptp.additive_identity tptp.additive_identity)) % 205.39/205.63 (define @t89 () (not @t88)) % 205.39/205.63 (define @t90 () (or @t89 @t54 @t87 @t85 @t82)) % 205.39/205.63 (define @t91 () (not @t90)) % 205.39/205.63 (assume @p1 (forall @t2 (tptp.equalish @t1 @t1))) % 205.39/205.63 (assume @p2 (forall @t5 (or @t4 (tptp.equalish @t3 @t1)))) % 205.39/205.63 (assume @p3 (forall @t7 (or @t4 (not (tptp.equalish @t3 @t6)) (tptp.equalish @t1 @t6)))) % 205.39/205.63 (assume @p4 (forall @t5 (or @t4 (tptp.equalish @t8 (tptp.additive_inverse @t3))))) % 205.39/205.63 (assume @p5 (forall @t10 (or @t4 (tptp.equalish (tptp.add @t1 @t9) (tptp.add @t3 @t9))))) % 205.39/205.63 (assume @p6 (forall @t11 (or @t4 (not (tptp.sum @t1 @t9 @t6)) (tptp.sum @t3 @t9 @t6)))) % 205.39/205.63 (assume @p7 (forall @t11 (or @t4 (not (tptp.sum @t9 @t1 @t6)) (tptp.sum @t9 @t3 @t6)))) % 205.39/205.63 (assume @p8 (forall @t11 (or @t4 (not (tptp.sum @t9 @t6 @t1)) (tptp.sum @t9 @t6 @t3)))) % 205.39/205.63 (assume @p9 (forall @t10 (or @t4 (tptp.equalish (tptp.multiply @t1 @t9) (tptp.multiply @t3 @t9))))) % 205.39/205.63 (assume @p10 (forall @t11 (or @t4 (not (tptp.product @t1 @t9 @t6)) (tptp.product @t3 @t9 @t6)))) % 205.39/205.63 (assume @p11 (forall @t11 (or @t4 (not (tptp.product @t9 @t1 @t6)) (tptp.product @t9 @t3 @t6)))) % 205.39/205.63 (assume @p12 (forall @t11 (or @t4 (not (tptp.product @t9 @t6 @t1)) (tptp.product @t9 @t6 @t3)))) % 205.39/205.63 (assume @p13 (forall @t2 (tptp.sum tptp.additive_identity @t1 @t1))) % 205.39/205.63 (assume @p14 (forall @t2 (tptp.sum @t1 tptp.additive_identity @t1))) % 205.39/205.63 (assume @p15 (forall @t5 (tptp.product @t1 @t3 (tptp.multiply @t1 @t3)))) % 205.39/205.63 (assume @p16 (forall @t5 (tptp.sum @t1 @t3 (tptp.add @t1 @t3)))) % 205.39/205.63 (assume @p17 (forall @t2 (tptp.sum @t8 @t1 tptp.additive_identity))) % 205.39/205.63 (assume @p18 (forall @t2 (tptp.sum @t1 @t8 tptp.additive_identity))) % 205.39/205.63 (assume @p19 (forall @t18 (or @t17 @t16 (not @t15) @t13))) % 205.39/205.63 (assume @p20 (forall @t18 (or @t17 @t16 (not @t13) @t15))) % 205.39/205.63 (assume @p21 (forall @t7 (or (not (tptp.sum @t1 @t3 @t6)) (tptp.sum @t3 @t1 @t6)))) % 205.39/205.63 (assume @p22 (forall @t18 (or @t22 @t21 (not @t20) @t19))) % 205.39/205.63 (assume @p23 (forall @t18 (or @t22 @t21 (not @t19) @t20))) % 205.39/205.63 (assume @p24 (forall @t32 (or @t31 @t30 @t29 (not @t28) @t26))) % 205.39/205.63 (assume @p25 @t34) % 205.39/205.63 (assume @p26 (forall @t38 (or @t37 @t36 @t29 (not @t35) @t26))) % 205.39/205.63 (assume @p27 (forall @t38 (or @t37 @t36 @t29 @t33 @t35))) % 205.39/205.63 (assume @p28 (forall @t40 (or @t17 (not (tptp.sum @t1 @t3 @t12)) @t39))) % 205.39/205.63 (assume @p29 (forall @t40 (or @t22 (not (tptp.product @t1 @t3 @t12)) @t39))) % 205.39/205.63 (assume @p30 (forall @t2 (tptp.product tptp.additive_identity @t1 tptp.additive_identity))) % 205.39/205.63 (assume @p31 (forall @t2 (tptp.product @t1 tptp.additive_identity tptp.additive_identity))) % 205.39/205.63 (assume @p32 @t41) % 205.39/205.63 (assume @p33 @t44) % 205.39/205.63 (assume @p34 (not @t45)) % 205.39/205.63 (step @p35 :rule instantiate :premises (@p20) :args ((@list tptp.d @t46 tptp.additive_identity tptp.c tptp.additive_identity tptp.d))) % 205.39/205.63 (step @p36 :rule instantiate :premises (@p26) :args ((@list @t43 tptp.b @t46 tptp.a tptp.c tptp.additive_identity tptp.additive_identity))) % 205.39/205.63 (step @p37 :rule instantiate :premises (@p15) :args ((@list @t43 tptp.b))) % 205.39/205.63 (step @p38 :rule instantiate :premises (@p30) :args (@t47)) % 205.39/205.63 (step @p39 :rule instantiate :premises (@p17) :args (@t48)) % 205.39/205.63 (step @p40 :rule cnf_or_pos :args (@t57)) % 205.39/205.63 (step @p41 :rule reordering :premises (@p40) :args ((or @t54 @t53 @t51 @t56 @t49 (not @t57)))) % 205.39/205.63 (step @p42 :rule chain_m_resolution :premises (@p41 @p32 @p39 @p38 @p37 @p36) :args (@t49 @t58 (@list @t41 @t52 @t50 @t55 @t57))) % 205.39/205.63 (step @p43 :rule instantiate :premises (@p24) :args ((@list @t43 @t42 tptp.d tptp.b @t46 tptp.additive_identity tptp.additive_identity))) % 205.39/205.63 (step @p44 :rule instantiate :premises (@p31) :args (@t59)) % 205.39/205.63 (step @p45 :rule instantiate :premises (@p17) :args (@t47)) % 205.39/205.63 (step @p46 :rule cnf_or_pos :args (@t66)) % 205.39/205.63 (step @p47 :rule reordering :premises (@p46) :args ((or @t65 @t64 @t62 @t56 @t60 (not @t66)))) % 205.39/205.63 (step @p48 :rule chain_m_resolution :premises (@p47 @p33 @p45 @p44 @p37 @p43) :args (@t60 @t58 (@list @t44 @t63 @t61 @t55 @t66))) % 205.39/205.63 (step @p49 :rule instantiate :premises (@p26) :args ((@list @t43 @t42 tptp.d tptp.additive_identity tptp.additive_identity @t43 tptp.d))) % 205.39/205.63 (step @p50 :rule instantiate :premises (@p30) :args ((@list @t42))) % 205.39/205.63 (step @p51 :rule instantiate :premises (@p21) :args ((@list tptp.additive_identity @t43 @t43))) % 205.39/205.63 (step @p52 :rule instantiate :premises (@p13) :args (@t59)) % 205.39/205.63 (step @p53 :rule cnf_or_pos :args (@t70)) % 205.39/205.63 (step @p54 :rule reordering :premises (@p53) :args ((or @t69 @t67 (not @t70)))) % 205.39/205.63 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p51) :args (@t67 (@list false false) (@list @t68 @t70))) % 205.39/205.63 (step @p56 :rule cnf_or_pos :args (@t75)) % 205.39/205.63 (step @p57 :rule factoring :premises (@p56)) % 205.39/205.63 (step @p58 :rule reordering :premises (@p57) :args ((or @t65 @t72 @t74 @t71 (not @t75)))) % 205.39/205.63 (step @p59 :rule chain_m_resolution :premises (@p58 @p33 @p55 @p50 @p49) :args (@t71 @t76 (@list @t44 @t67 @t73 @t75))) % 205.39/205.63 (step @p60 :rule cnf_or_pos :args (@t81)) % 205.39/205.63 (step @p61 :rule reordering :premises (@p60) :args ((or @t78 @t77 @t80 @t79 (not @t81)))) % 205.39/205.63 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p48 @p42 @p35) :args (@t77 @t76 (@list @t71 @t60 @t49 @t81))) % 205.39/205.63 (step @p63 :rule instantiate :premises (@p31) :args (@t48)) % 205.39/205.63 (step @p64 :rule instantiate :premises (@p13) :args (@t47)) % 205.39/205.63 (step @p65 :rule instantiate :premises (@p29) :args ((@list tptp.a tptp.b tptp.c tptp.d))) % 205.39/205.63 (step @p66 :rule cnf_or_pos :args (@t84)) % 205.39/205.63 (step @p67 :rule reordering :premises (@p66) :args ((or @t45 @t54 @t83 (not @t84)))) % 205.39/205.63 (step @p68 :rule chain_m_resolution :premises (@p67 @p34 @p32 @p65) :args (@t83 (@list true false false) (@list @t45 @t41 @t84))) % 205.39/205.63 (step @p69 :rule cnf_or_pos :args (@t90)) % 205.39/205.63 (step @p70 :rule reordering :premises (@p69) :args ((or @t54 @t82 @t87 @t89 @t85 @t91))) % 205.39/205.63 (step @p71 :rule chain_m_resolution :premises (@p70 @p32 @p68 @p64 @p63 @p62) :args (@t91 (@list false true false false false) (@list @t41 @t82 @t86 @t88 @t77))) % 205.39/205.63 (assume-push @p78 @t34) % 205.39/205.63 (step @p73 :rule instantiate :premises (@p25) :args ((@list tptp.a tptp.additive_identity tptp.additive_identity tptp.b tptp.c tptp.b tptp.d))) % 205.39/205.63 (step-pop @p79 :rule scope :premises (@p73)) % 205.39/205.63 (step @p74 :rule process_scope :premises (@p79) :args (@t90)) % 205.39/205.63 (step @p76 :rule implies_elim :premises (@p74)) % 205.39/205.63 (step @p77 false :rule chain_m_resolution :premises (@p76 @p71 @p25) :args (false (@list true false) (@list @t90 @t34))) % 205.39/205.63 ) % 205.39/205.64 % SZS output end Proof % 205.39/205.64 % cvc5 exiting %------------------------------------------------------------------------------