%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : FLD065-1 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:15:34 AM UTC 2026 % Result : Unsatisfiable 172.03s 172.36s % Output : Proof 172.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : FLD065-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 : Mon Jun 1 22:46:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.75 --- Run --no-e-matching --full-saturate-quant at 6... % 21.53/21.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 21.61/27.81 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.63/33.88 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.83/64.12 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.94/79.18 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.08/112.35 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.14/128.35 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.23/158.58 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.03/172.36 % SZS status Unsatisfiable % 172.03/172.36 % SZS output start Proof % 172.03/172.36 ( % 172.03/172.36 (declare-sort $$unsorted 0) % 172.03/172.36 (declare-const tptp.multiplicative_inverse (-> $$unsorted $$unsorted)) % 172.03/172.36 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 172.03/172.36 (declare-const tptp.additive_inverse (-> $$unsorted $$unsorted)) % 172.03/172.36 (declare-const tptp.a $$unsorted) % 172.03/172.36 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 172.03/172.36 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 172.03/172.36 (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted)) % 172.03/172.36 (declare-const tptp.multiplicative_identity $$unsorted) % 172.03/172.36 (declare-const tptp.additive_identity $$unsorted) % 172.03/172.36 (declare-const tptp.defined (-> $$unsorted Bool)) % 172.03/172.36 (define @t1 () (@var "Z" $$unsorted)) % 172.03/172.36 (define @t2 () (not (tptp.defined @t1))) % 172.03/172.36 (define @t3 () (@var "Y" $$unsorted)) % 172.03/172.36 (define @t4 () (not (tptp.defined @t3))) % 172.03/172.36 (define @t5 () (@var "X" $$unsorted)) % 172.03/172.36 (define @t6 () (not (tptp.defined @t5))) % 172.03/172.36 (define @t7 () (tptp.add @t5 @t3)) % 172.03/172.36 (define @t8 () (tptp.add @t3 @t1)) % 172.03/172.36 (define @t9 () (@list @t5 @t3 @t1)) % 172.03/172.36 (define @t10 () (@list @t5)) % 172.03/172.36 (define @t11 () (tptp.additive_inverse @t5)) % 172.03/172.36 (define @t12 () (@list @t5 @t3)) % 172.03/172.36 (define @t13 () (tptp.multiply @t5 @t3)) % 172.03/172.36 (define @t14 () (tptp.multiply @t3 @t1)) % 172.03/172.36 (define @t15 () (tptp.equalish @t5 tptp.additive_identity)) % 172.03/172.36 (define @t16 () (tptp.multiplicative_inverse @t5)) % 172.03/172.36 (define @t17 () (tptp.multiply @t5 @t1)) % 172.03/172.36 (define @t18 () (@list @t5 @t1 @t3)) % 172.03/172.36 (define @t19 () (tptp.defined tptp.additive_identity)) % 172.03/172.36 (define @t20 () (tptp.less_or_equal @t3 @t5)) % 172.03/172.36 (define @t21 () (tptp.less_or_equal @t5 @t3)) % 172.03/172.36 (define @t22 () (not @t21)) % 172.03/172.36 (define @t23 () (tptp.equalish @t5 @t3)) % 172.03/172.36 (define @t24 () (tptp.less_or_equal @t3 @t1)) % 172.03/172.36 (define @t25 () (tptp.less_or_equal @t5 @t1)) % 172.03/172.36 (define @t26 () (tptp.add @t5 @t1)) % 172.03/172.36 (define @t27 () (not @t23)) % 172.03/172.36 (define @t28 () (forall (@list @t3 @t1 @t5) (or @t24 (not @t25) @t27))) % 172.03/172.36 (define @t29 () (tptp.defined tptp.a)) % 172.03/172.36 (define @t30 () (tptp.additive_inverse tptp.a)) % 172.03/172.36 (define @t31 () (tptp.less_or_equal @t30 tptp.additive_identity)) % 172.03/172.36 (define @t32 () (tptp.less_or_equal tptp.additive_identity tptp.a)) % 172.03/172.36 (define @t33 () (not @t31)) % 172.03/172.36 (define @t34 () (not @t29)) % 172.03/172.36 (define @t35 () (tptp.add tptp.additive_identity tptp.a)) % 172.03/172.36 (define @t36 () (tptp.add @t30 tptp.a)) % 172.03/172.36 (define @t37 () (tptp.less_or_equal @t36 @t35)) % 172.03/172.36 (define @t38 () (or @t37 @t34 @t33)) % 172.03/172.36 (define @t39 () (@list false false false)) % 172.03/172.36 (define @t40 () (tptp.add tptp.a @t30)) % 172.03/172.36 (define @t41 () (@list tptp.a)) % 172.03/172.36 (define @t42 () (tptp.defined @t30)) % 172.03/172.36 (define @t43 () (or @t42 @t34)) % 172.03/172.36 (define @t44 () (@list false false)) % 172.03/172.36 (define @t45 () (not @t42)) % 172.03/172.36 (define @t46 () (tptp.equalish @t36 @t40)) % 172.03/172.36 (define @t47 () (or @t46 @t45 @t34)) % 172.03/172.36 (define @t48 () (tptp.equalish @t40 tptp.additive_identity)) % 172.03/172.36 (define @t49 () (or @t48 @t34)) % 172.03/172.36 (define @t50 () (not @t48)) % 172.03/172.36 (define @t51 () (not @t46)) % 172.03/172.36 (define @t52 () (tptp.equalish @t36 tptp.additive_identity)) % 172.03/172.36 (define @t53 () (or @t52 @t51 @t50)) % 172.03/172.36 (define @t54 () (tptp.equalish @t35 tptp.a)) % 172.03/172.36 (define @t55 () (or @t54 @t34)) % 172.03/172.36 (define @t56 () (not @t54)) % 172.03/172.36 (define @t57 () (tptp.equalish tptp.a @t35)) % 172.03/172.36 (define @t58 () (or @t57 @t56)) % 172.03/172.36 (define @t59 () (not @t19)) % 172.03/172.36 (define @t60 () (tptp.less_or_equal tptp.a tptp.additive_identity)) % 172.03/172.36 (define @t61 () (or @t32 @t60 @t59 @t34)) % 172.03/172.36 (define @t62 () (not @t57)) % 172.03/172.36 (define @t63 () (not @t60)) % 172.03/172.36 (define @t64 () (tptp.less_or_equal @t35 tptp.additive_identity)) % 172.03/172.36 (define @t65 () (or @t64 @t63 @t62)) % 172.03/172.36 (define @t66 () (tptp.less_or_equal tptp.a tptp.a)) % 172.03/172.36 (define @t67 () (or @t66 @t66 @t34 @t34)) % 172.03/172.36 (define @t68 () (tptp.equalish tptp.a tptp.additive_identity)) % 172.03/172.36 (define @t69 () (not @t68)) % 172.03/172.36 (define @t70 () (not @t66)) % 172.03/172.36 (define @t71 () (or @t32 @t70 @t69)) % 172.03/172.36 (define @t72 () (@list true false false)) % 172.03/172.36 (define @t73 () (tptp.equalish @t35 tptp.additive_identity)) % 172.03/172.36 (define @t74 () (not @t73)) % 172.03/172.36 (define @t75 () (or @t68 @t62 @t74)) % 172.03/172.36 (define @t76 () (tptp.less_or_equal tptp.additive_identity @t35)) % 172.03/172.36 (define @t77 () (not @t76)) % 172.03/172.36 (define @t78 () (not @t64)) % 172.03/172.36 (define @t79 () (or @t73 @t78 @t77)) % 172.03/172.36 (define @t80 () (not @t52)) % 172.03/172.36 (define @t81 () (not @t37)) % 172.03/172.36 (define @t82 () (or @t76 @t81 @t80)) % 172.03/172.36 (define @t83 () (not @t82)) % 172.03/172.36 (assume @p1 (forall @t9 (or (tptp.equalish (tptp.add @t5 @t8) (tptp.add @t7 @t1)) @t6 @t4 @t2))) % 172.03/172.36 (assume @p2 (forall @t10 (or (tptp.equalish (tptp.add tptp.additive_identity @t5) @t5) @t6))) % 172.03/172.36 (assume @p3 (forall @t10 (or (tptp.equalish (tptp.add @t5 @t11) tptp.additive_identity) @t6))) % 172.03/172.36 (assume @p4 (forall @t12 (or (tptp.equalish @t7 (tptp.add @t3 @t5)) @t6 @t4))) % 172.03/172.36 (assume @p5 (forall @t9 (or (tptp.equalish (tptp.multiply @t5 @t14) (tptp.multiply @t13 @t1)) @t6 @t4 @t2))) % 172.03/172.36 (assume @p6 (forall @t10 (or (tptp.equalish (tptp.multiply tptp.multiplicative_identity @t5) @t5) @t6))) % 172.03/172.36 (assume @p7 (forall @t10 (or (tptp.equalish (tptp.multiply @t5 @t16) tptp.multiplicative_identity) @t6 @t15))) % 172.03/172.36 (assume @p8 (forall @t12 (or (tptp.equalish @t13 (tptp.multiply @t3 @t5)) @t6 @t4))) % 172.03/172.36 (assume @p9 (forall @t18 (or (tptp.equalish (tptp.add @t17 @t14) (tptp.multiply @t7 @t1)) @t6 @t4 @t2))) % 172.03/172.36 (assume @p10 (forall @t12 (or (tptp.defined @t7) @t6 @t4))) % 172.03/172.36 (assume @p11 @t19) % 172.03/172.36 (assume @p12 (forall @t10 (or (tptp.defined @t11) @t6))) % 172.03/172.36 (assume @p13 (forall @t12 (or (tptp.defined @t13) @t6 @t4))) % 172.03/172.36 (assume @p14 (tptp.defined tptp.multiplicative_identity)) % 172.03/172.36 (assume @p15 (forall @t10 (or (tptp.defined @t16) @t6 @t15))) % 172.03/172.36 (assume @p16 (forall @t12 (or @t23 @t22 (not @t20)))) % 172.03/172.36 (assume @p17 (forall @t18 (or @t25 @t22 (not @t24)))) % 172.03/172.36 (assume @p18 (forall @t12 (or @t21 @t20 @t6 @t4))) % 172.03/172.36 (assume @p19 (forall @t18 (or (tptp.less_or_equal @t26 @t8) @t2 @t22))) % 172.03/172.36 (assume @p20 (forall (@list @t3 @t1) (or (tptp.less_or_equal tptp.additive_identity @t14) (not (tptp.less_or_equal tptp.additive_identity @t3)) (not (tptp.less_or_equal tptp.additive_identity @t1))))) % 172.03/172.36 (assume @p21 (forall @t10 (or (tptp.equalish @t5 @t5) @t6))) % 172.03/172.36 (assume @p22 (forall @t12 (or @t23 (not (tptp.equalish @t3 @t5))))) % 172.03/172.36 (assume @p23 (forall @t18 (or (tptp.equalish @t5 @t1) @t27 (not (tptp.equalish @t3 @t1))))) % 172.03/172.36 (assume @p24 (forall @t18 (or (tptp.equalish @t26 @t8) @t2 @t27))) % 172.03/172.36 (assume @p25 (forall @t18 (or (tptp.equalish @t17 @t14) @t2 @t27))) % 172.03/172.36 (assume @p26 @t28) % 172.03/172.36 (assume @p27 (not (tptp.equalish tptp.additive_identity tptp.multiplicative_identity))) % 172.03/172.36 (assume @p28 @t29) % 172.03/172.36 (assume @p29 @t31) % 172.03/172.36 (assume @p30 (not @t32)) % 172.03/172.36 (step @p31 :rule instantiate :premises (@p19) :args ((@list @t30 tptp.a tptp.additive_identity))) % 172.03/172.36 (step @p32 :rule cnf_or_pos :args (@t38)) % 172.03/172.36 (step @p33 :rule reordering :premises (@p32) :args ((or @t34 @t33 @t37 (not @t38)))) % 172.03/172.36 (step @p34 :rule chain_m_resolution :premises (@p33 @p28 @p29 @p31) :args (@t37 @t39 (@list @t29 @t31 @t38))) % 172.03/172.36 (step @p35 :rule instantiate :premises (@p23) :args ((@list @t36 tptp.additive_identity @t40))) % 172.03/172.36 (step @p36 :rule instantiate :premises (@p4) :args ((@list @t30 tptp.a))) % 172.03/172.36 (step @p37 :rule instantiate :premises (@p12) :args (@t41)) % 172.03/172.36 (step @p38 :rule cnf_or_pos :args (@t43)) % 172.03/172.36 (step @p39 :rule reordering :premises (@p38) :args ((or @t34 @t42 (not @t43)))) % 172.03/172.36 (step @p40 :rule chain_m_resolution :premises (@p39 @p28 @p37) :args (@t42 @t44 (@list @t29 @t43))) % 172.03/172.36 (step @p41 :rule cnf_or_pos :args (@t47)) % 172.03/172.36 (step @p42 :rule reordering :premises (@p41) :args ((or @t34 @t45 @t46 (not @t47)))) % 172.03/172.36 (step @p43 :rule chain_m_resolution :premises (@p42 @p28 @p40 @p36) :args (@t46 @t39 (@list @t29 @t42 @t47))) % 172.03/172.36 (step @p44 :rule instantiate :premises (@p3) :args (@t41)) % 172.03/172.36 (step @p45 :rule cnf_or_pos :args (@t49)) % 172.03/172.36 (step @p46 :rule reordering :premises (@p45) :args ((or @t34 @t48 (not @t49)))) % 172.03/172.36 (step @p47 :rule chain_m_resolution :premises (@p46 @p28 @p44) :args (@t48 @t44 (@list @t29 @t49))) % 172.03/172.36 (step @p48 :rule cnf_or_pos :args (@t53)) % 172.03/172.36 (step @p49 :rule reordering :premises (@p48) :args ((or @t50 @t51 @t52 (not @t53)))) % 172.03/172.36 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p43 @p35) :args (@t52 @t39 (@list @t48 @t46 @t53))) % 172.03/172.36 (step @p51 :rule instantiate :premises (@p16) :args ((@list @t35 tptp.additive_identity))) % 172.03/172.36 (step @p52 :rule instantiate :premises (@p26) :args ((@list @t35 tptp.additive_identity tptp.a))) % 172.03/172.36 (step @p53 :rule instantiate :premises (@p22) :args ((@list tptp.a @t35))) % 172.03/172.36 (step @p54 :rule instantiate :premises (@p2) :args (@t41)) % 172.03/172.36 (step @p55 :rule cnf_or_pos :args (@t55)) % 172.03/172.36 (step @p56 :rule reordering :premises (@p55) :args ((or @t34 @t54 (not @t55)))) % 172.03/172.36 (step @p57 :rule chain_m_resolution :premises (@p56 @p28 @p54) :args (@t54 @t44 (@list @t29 @t55))) % 172.03/172.36 (step @p58 :rule cnf_or_pos :args (@t58)) % 172.03/172.36 (step @p59 :rule reordering :premises (@p58) :args ((or @t56 @t57 (not @t58)))) % 172.03/172.36 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p53) :args (@t57 @t44 (@list @t54 @t58))) % 172.03/172.36 (step @p61 :rule instantiate :premises (@p18) :args ((@list tptp.additive_identity tptp.a))) % 172.03/172.36 (step @p62 :rule cnf_or_pos :args (@t61)) % 172.03/172.36 (step @p63 :rule reordering :premises (@p62) :args ((or @t32 @t59 @t34 @t60 (not @t61)))) % 172.03/172.36 (step @p64 :rule chain_m_resolution :premises (@p63 @p30 @p11 @p28 @p61) :args (@t60 (@list true false false false) (@list @t32 @t19 @t29 @t61))) % 172.03/172.36 (step @p65 :rule cnf_or_pos :args (@t65)) % 172.03/172.36 (step @p66 :rule reordering :premises (@p65) :args ((or @t63 @t62 @t64 (not @t65)))) % 172.03/172.36 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p60 @p52) :args (@t64 @t39 (@list @t60 @t57 @t65))) % 172.03/172.36 (step @p68 :rule instantiate :premises (@p23) :args ((@list tptp.a tptp.additive_identity @t35))) % 172.03/172.36 (step @p69 :rule instantiate :premises (@p26) :args ((@list tptp.additive_identity tptp.a tptp.a))) % 172.03/172.36 (step @p70 :rule instantiate :premises (@p18) :args ((@list tptp.a tptp.a))) % 172.03/172.36 (step @p71 :rule cnf_or_pos :args (@t67)) % 172.03/172.36 (step @p72 :rule factoring :premises (@p71)) % 172.03/172.36 (step @p73 :rule reordering :premises (@p72) :args ((or @t34 @t66 (not @t67)))) % 172.03/172.36 (step @p74 :rule chain_m_resolution :premises (@p73 @p28 @p70) :args (@t66 @t44 (@list @t29 @t67))) % 172.03/172.36 (step @p75 :rule cnf_or_pos :args (@t71)) % 172.03/172.36 (step @p76 :rule reordering :premises (@p75) :args ((or @t32 @t69 @t70 (not @t71)))) % 172.03/172.36 (step @p77 :rule chain_m_resolution :premises (@p76 @p30 @p74 @p69) :args (@t69 @t72 (@list @t32 @t66 @t71))) % 172.03/172.36 (step @p78 :rule cnf_or_pos :args (@t75)) % 172.03/172.36 (step @p79 :rule reordering :premises (@p78) :args ((or @t68 @t62 @t74 (not @t75)))) % 172.03/172.36 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p60 @p68) :args (@t74 @t72 (@list @t68 @t57 @t75))) % 172.03/172.36 (step @p81 :rule cnf_or_pos :args (@t79)) % 172.03/172.36 (step @p82 :rule reordering :premises (@p81) :args ((or @t73 @t78 @t77 (not @t79)))) % 172.03/172.36 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p67 @p51) :args (@t77 @t72 (@list @t73 @t64 @t79))) % 172.03/172.36 (step @p84 :rule cnf_or_pos :args (@t82)) % 172.03/172.36 (step @p85 :rule reordering :premises (@p84) :args ((or @t76 @t80 @t81 @t83))) % 172.03/172.36 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p50 @p34) :args (@t83 @t72 (@list @t76 @t52 @t37))) % 172.03/172.36 (assume-push @p93 @t28) % 172.03/172.36 (step @p88 :rule instantiate :premises (@p26) :args ((@list tptp.additive_identity @t35 @t36))) % 172.03/172.36 (step-pop @p94 :rule scope :premises (@p88)) % 172.03/172.36 (step @p89 :rule process_scope :premises (@p94) :args (@t82)) % 172.03/172.36 (step @p91 :rule implies_elim :premises (@p89)) % 172.03/172.36 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p26) :args (false (@list true false) (@list @t82 @t28))) % 172.03/172.36 ) % 172.03/172.37 % SZS output end Proof % 172.03/172.37 % cvc5 exiting %------------------------------------------------------------------------------