%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL322-3 : TPTP v9.3.1. Released v2.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:38 AM UTC 2026 % Result : Unsatisfiable 125.61s 126.91s % Output : Proof 125.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL322-3 : TPTP v9.3.1. Released v2.3.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n018.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 17:44:47 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.10/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/15.63 --- Run --no-e-matching --full-saturate-quant at 6... % 21.24/21.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.22/27.96 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.25/34.12 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.29/64.33 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.34/79.49 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 111.35/112.70 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 125.61/126.91 % SZS status Unsatisfiable % 125.61/126.91 % SZS output start Proof % 125.61/126.91 ( % 125.61/126.91 (declare-sort $$unsorted 0) % 125.61/126.91 (declare-const tptp.q $$unsorted) % 125.61/126.91 (declare-const tptp.theorem (-> $$unsorted Bool)) % 125.61/126.91 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 125.61/126.91 (declare-const tptp.p $$unsorted) % 125.61/126.91 (declare-const tptp.axiom (-> $$unsorted Bool)) % 125.61/126.91 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 125.61/126.91 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 125.61/126.91 (define @t1 () (@var "A" $$unsorted)) % 125.61/126.91 (define @t2 () (@var "B" $$unsorted)) % 125.61/126.91 (define @t3 () (tptp.or @t2 @t1)) % 125.61/126.91 (define @t4 () (@list @t1 @t2)) % 125.61/126.91 (define @t5 () (@var "C" $$unsorted)) % 125.61/126.91 (define @t6 () (@list @t1 @t2 @t5)) % 125.61/126.91 (define @t7 () (@var "Y" $$unsorted)) % 125.61/126.91 (define @t8 () (@var "X" $$unsorted)) % 125.61/126.91 (define @t9 () (@list @t8 @t7)) % 125.61/126.91 (define @t10 () (tptp.theorem @t8)) % 125.61/126.91 (define @t11 () (tptp.implies tptp.q tptp.p)) % 125.61/126.91 (define @t12 () (tptp.implies tptp.p tptp.q)) % 125.61/126.91 (define @t13 () (tptp.or @t12 @t11)) % 125.61/126.91 (define @t14 () (tptp.theorem @t13)) % 125.61/126.91 (define @t15 () (tptp.or @t11 tptp.q)) % 125.61/126.91 (define @t16 () (tptp.or tptp.q @t11)) % 125.61/126.91 (define @t17 () (tptp.implies @t16 @t15)) % 125.61/126.91 (define @t18 () (tptp.not @t11)) % 125.61/126.91 (define @t19 () (tptp.or @t18 @t15)) % 125.61/126.91 (define @t20 () (tptp.or @t18 @t16)) % 125.61/126.91 (define @t21 () (tptp.implies @t20 @t19)) % 125.61/126.91 (define @t22 () (tptp.implies @t17 @t21)) % 125.61/126.91 (define @t23 () (tptp.axiom @t22)) % 125.61/126.91 (define @t24 () (not @t23)) % 125.61/126.91 (define @t25 () (tptp.theorem @t22)) % 125.61/126.91 (define @t26 () (or @t25 @t24)) % 125.61/126.91 (define @t27 () (@list false false)) % 125.61/126.91 (define @t28 () (tptp.axiom @t17)) % 125.61/126.91 (define @t29 () (not @t28)) % 125.61/126.91 (define @t30 () (tptp.theorem @t17)) % 125.61/126.91 (define @t31 () (or @t30 @t29)) % 125.61/126.91 (define @t32 () (not @t30)) % 125.61/126.91 (define @t33 () (not @t25)) % 125.61/126.91 (define @t34 () (tptp.theorem @t21)) % 125.61/126.91 (define @t35 () (or @t34 @t33 @t32)) % 125.61/126.91 (define @t36 () (tptp.implies @t11 @t16)) % 125.61/126.91 (define @t37 () (tptp.axiom @t36)) % 125.61/126.91 (define @t38 () (not @t37)) % 125.61/126.91 (define @t39 () (tptp.theorem @t36)) % 125.61/126.91 (define @t40 () (or @t39 @t38)) % 125.61/126.91 (define @t41 () (tptp.theorem @t20)) % 125.61/126.91 (define @t42 () (tptp.not tptp.q)) % 125.61/126.91 (define @t43 () (tptp.or @t42 tptp.p)) % 125.61/126.91 (define @t44 () (tptp.implies @t43 @t15)) % 125.61/126.91 (define @t45 () (tptp.not tptp.p)) % 125.61/126.91 (define @t46 () (tptp.or @t45 @t15)) % 125.61/126.91 (define @t47 () (tptp.or @t45 @t43)) % 125.61/126.91 (define @t48 () (tptp.implies @t47 @t46)) % 125.61/126.91 (define @t49 () (tptp.implies @t44 @t48)) % 125.61/126.91 (define @t50 () (tptp.axiom @t49)) % 125.61/126.91 (define @t51 () (not @t50)) % 125.61/126.91 (define @t52 () (tptp.theorem @t49)) % 125.61/126.91 (define @t53 () (or @t52 @t51)) % 125.61/126.91 (define @t54 () (tptp.implies tptp.p @t43)) % 125.61/126.91 (define @t55 () (tptp.axiom @t54)) % 125.61/126.91 (define @t56 () (not @t55)) % 125.61/126.91 (define @t57 () (tptp.theorem @t54)) % 125.61/126.91 (define @t58 () (or @t57 @t56)) % 125.61/126.91 (define @t59 () (tptp.theorem @t47)) % 125.61/126.91 (define @t60 () (tptp.or @t11 (tptp.or @t45 tptp.q))) % 125.61/126.91 (define @t61 () (tptp.implies @t46 @t60)) % 125.61/126.91 (define @t62 () (tptp.axiom @t61)) % 125.61/126.91 (define @t63 () (not @t62)) % 125.61/126.91 (define @t64 () (tptp.theorem @t61)) % 125.61/126.91 (define @t65 () (or @t64 @t63)) % 125.61/126.91 (define @t66 () (tptp.or @t11 @t12)) % 125.61/126.91 (define @t67 () (tptp.implies @t66 @t13)) % 125.61/126.91 (define @t68 () (tptp.axiom @t67)) % 125.61/126.91 (define @t69 () (not @t68)) % 125.61/126.91 (define @t70 () (tptp.theorem @t67)) % 125.61/126.91 (define @t71 () (or @t70 @t69)) % 125.61/126.91 (define @t72 () (not (tptp.theorem @t66))) % 125.61/126.91 (define @t73 () (not @t70)) % 125.61/126.91 (define @t74 () (or @t14 @t73 @t72)) % 125.61/126.91 (define @t75 () (@list true false false)) % 125.61/126.91 (define @t76 () (tptp.theorem @t60)) % 125.61/126.91 (define @t77 () (tptp.theorem @t46)) % 125.61/126.91 (define @t78 () (not @t77)) % 125.61/126.91 (define @t79 () (not @t64)) % 125.61/126.91 (define @t80 () (or @t76 @t79 @t78)) % 125.61/126.91 (define @t81 () (not @t59)) % 125.61/126.91 (define @t82 () (tptp.theorem @t48)) % 125.61/126.91 (define @t83 () (not @t82)) % 125.61/126.91 (define @t84 () (or @t77 @t83 @t81)) % 125.61/126.91 (define @t85 () (not (tptp.theorem @t44))) % 125.61/126.91 (define @t86 () (not @t52)) % 125.61/126.91 (define @t87 () (or @t82 @t86 @t85)) % 125.61/126.91 (define @t88 () (tptp.theorem @t19)) % 125.61/126.91 (define @t89 () (not @t41)) % 125.61/126.91 (define @t90 () (not @t34)) % 125.61/126.91 (define @t91 () (or @t88 @t90 @t89)) % 125.61/126.91 (assume @p1 (forall (@list @t1) (tptp.axiom (tptp.implies (tptp.or @t1 @t1) @t1)))) % 125.61/126.91 (assume @p2 (forall @t4 (tptp.axiom (tptp.implies @t1 @t3)))) % 125.61/126.91 (assume @p3 (forall @t4 (tptp.axiom (tptp.implies (tptp.or @t1 @t2) @t3)))) % 125.61/126.91 (assume @p4 (forall @t6 (tptp.axiom (tptp.implies (tptp.or @t1 (tptp.or @t2 @t5)) (tptp.or @t2 (tptp.or @t1 @t5)))))) % 125.61/126.91 (assume @p5 (forall @t6 (tptp.axiom (tptp.implies (tptp.implies @t1 @t2) (tptp.implies (tptp.or @t5 @t1) (tptp.or @t5 @t2)))))) % 125.61/126.91 (assume @p6 (forall @t9 (= (tptp.implies @t8 @t7) (tptp.or (tptp.not @t8) @t7)))) % 125.61/126.91 (assume @p7 (forall (@list @t8) (or @t10 (not (tptp.axiom @t8))))) % 125.61/126.91 (assume @p8 (forall @t9 (or @t10 (not (tptp.theorem (tptp.implies @t7 @t8))) (not (tptp.theorem @t7))))) % 125.61/126.91 (assume @p9 (not @t14)) % 125.61/126.91 (step @p10 :rule instantiate :premises (@p8) :args ((@list @t21 @t17))) % 125.61/126.91 (step @p11 :rule instantiate :premises (@p7) :args ((@list @t22))) % 125.61/126.91 (step @p12 :rule instantiate :premises (@p5) :args ((@list @t16 @t15 @t18))) % 125.61/126.91 (step @p13 :rule cnf_or_pos :args (@t26)) % 125.61/126.91 (step @p14 :rule reordering :premises (@p13) :args ((or @t24 @t25 (not @t26)))) % 125.61/126.91 (step @p15 :rule chain_m_resolution :premises (@p14 @p12 @p11) :args (@t25 @t27 (@list @t23 @t26))) % 125.61/126.91 (step @p16 :rule instantiate :premises (@p7) :args ((@list @t17))) % 125.61/126.91 (step @p17 :rule instantiate :premises (@p3) :args ((@list tptp.q @t11))) % 125.61/126.91 (step @p18 :rule cnf_or_pos :args (@t31)) % 125.61/126.91 (step @p19 :rule reordering :premises (@p18) :args ((or @t29 @t30 (not @t31)))) % 125.61/126.91 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16) :args (@t30 @t27 (@list @t28 @t31))) % 125.61/126.91 (step @p21 :rule cnf_or_pos :args (@t35)) % 125.61/126.91 (step @p22 :rule reordering :premises (@p21) :args ((or @t32 @t34 @t33 (not @t35)))) % 125.61/126.91 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p15 @p10) :args (@t34 (@list false false false) (@list @t30 @t25 @t35))) % 125.61/126.91 (step @p24 :rule instantiate :premises (@p8) :args ((@list @t19 @t20))) % 125.61/126.91 (step @p25 :rule instantiate :premises (@p7) :args ((@list @t36))) % 125.61/126.91 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t11 tptp.q))) % 125.61/126.91 (step @p27 :rule cnf_or_pos :args (@t40)) % 125.61/126.91 (step @p28 :rule reordering :premises (@p27) :args ((or @t38 @t39 (not @t40)))) % 125.61/126.91 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25) :args (@t39 @t27 (@list @t37 @t40))) % 125.61/126.91 (step @p30 :rule true_intro :premises (@p29)) % 125.61/126.91 (step @p31 :rule instantiate :premises (@p6) :args ((@list @t11 @t16))) % 125.61/126.91 (step @p32 :rule symm :premises (@p31)) % 125.61/126.91 (step @p33 :rule cong :premises (@p32) :args (@t41)) % 125.61/126.91 (step @p34 :rule trans :premises (@p33 @p30)) % 125.61/126.91 (step @p35 :rule true_elim :premises (@p34)) % 125.61/126.91 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t48 @t44))) % 125.61/126.91 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t49))) % 125.61/126.91 (step @p38 :rule instantiate :premises (@p5) :args ((@list @t43 @t15 @t45))) % 125.61/126.91 (step @p39 :rule cnf_or_pos :args (@t53)) % 125.61/126.91 (step @p40 :rule reordering :premises (@p39) :args ((or @t51 @t52 (not @t53)))) % 125.61/126.91 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t52 @t27 (@list @t50 @t53))) % 125.61/126.91 (step @p42 :rule instantiate :premises (@p8) :args ((@list @t46 @t47))) % 125.61/126.91 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t54))) % 125.61/126.91 (step @p44 :rule instantiate :premises (@p2) :args ((@list tptp.p @t42))) % 125.61/126.91 (step @p45 :rule cnf_or_pos :args (@t58)) % 125.61/126.91 (step @p46 :rule reordering :premises (@p45) :args ((or @t56 @t57 (not @t58)))) % 125.61/126.91 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43) :args (@t57 @t27 (@list @t55 @t58))) % 125.61/126.91 (step @p48 :rule true_intro :premises (@p47)) % 125.61/126.91 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.p @t43))) % 125.61/126.91 (step @p50 :rule symm :premises (@p49)) % 125.61/126.91 (step @p51 :rule cong :premises (@p50) :args (@t59)) % 125.61/126.91 (step @p52 :rule trans :premises (@p51 @p48)) % 125.61/126.91 (step @p53 :rule true_elim :premises (@p52)) % 125.61/126.91 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t60 @t46))) % 125.61/126.91 (step @p55 :rule instantiate :premises (@p7) :args ((@list @t61))) % 125.61/126.91 (step @p56 :rule instantiate :premises (@p4) :args ((@list @t45 @t11 tptp.q))) % 125.61/126.91 (step @p57 :rule cnf_or_pos :args (@t65)) % 125.61/126.91 (step @p58 :rule reordering :premises (@p57) :args ((or @t63 @t64 (not @t65)))) % 125.61/126.91 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t64 @t27 (@list @t62 @t65))) % 125.61/126.91 (step @p60 :rule instantiate :premises (@p8) :args ((@list @t13 @t66))) % 125.61/126.91 (step @p61 :rule instantiate :premises (@p7) :args ((@list @t67))) % 125.61/126.91 (step @p62 :rule instantiate :premises (@p3) :args ((@list @t11 @t12))) % 125.61/126.91 (step @p63 :rule cnf_or_pos :args (@t71)) % 125.61/126.91 (step @p64 :rule reordering :premises (@p63) :args ((or @t69 @t70 (not @t71)))) % 125.61/126.91 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61) :args (@t70 @t27 (@list @t68 @t71))) % 125.61/126.91 (step @p66 :rule cnf_or_pos :args (@t74)) % 125.61/126.91 (step @p67 :rule reordering :premises (@p66) :args ((or @t14 @t73 @t72 (not @t74)))) % 125.61/126.91 (step @p68 :rule chain_m_resolution :premises (@p67 @p9 @p65 @p60) :args (@t72 @t75 (@list @t14 @t70 @t74))) % 125.61/126.91 (step @p69 :rule false_intro :premises (@p68)) % 125.61/126.91 (step @p70 :rule instantiate :premises (@p6) :args ((@list tptp.p tptp.q))) % 125.61/126.91 (step @p71 :rule symm :premises (@p70)) % 125.61/126.91 (step @p72 :rule refl :args (@t11)) % 125.61/126.91 (step @p73 :rule cong :premises (@p72 @p71) :args (@t60)) % 125.61/126.91 (step @p74 :rule cong :premises (@p73) :args (@t76)) % 125.61/126.91 (step @p75 :rule trans :premises (@p74 @p69)) % 125.61/126.91 (step @p76 :rule false_elim :premises (@p75)) % 125.61/126.91 (step @p77 :rule cnf_or_pos :args (@t80)) % 125.61/126.91 (step @p78 :rule reordering :premises (@p77) :args ((or @t76 @t79 @t78 (not @t80)))) % 125.61/126.91 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p59 @p54) :args (@t78 @t75 (@list @t76 @t64 @t80))) % 125.61/126.91 (step @p80 :rule cnf_or_pos :args (@t84)) % 125.61/126.91 (step @p81 :rule reordering :premises (@p80) :args ((or @t77 @t81 @t83 (not @t84)))) % 125.61/126.91 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p53 @p42) :args (@t83 @t75 (@list @t77 @t59 @t84))) % 125.61/126.91 (step @p83 :rule cnf_or_pos :args (@t87)) % 125.61/126.91 (step @p84 :rule reordering :premises (@p83) :args ((or @t82 @t86 @t85 (not @t87)))) % 125.61/126.91 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p41 @p36) :args (@t85 @t75 (@list @t82 @t52 @t87))) % 125.61/126.91 (step @p86 :rule false_intro :premises (@p85)) % 125.61/126.91 (step @p87 :rule instantiate :premises (@p6) :args ((@list @t43 @t15))) % 125.61/126.91 (step @p88 :rule symm :premises (@p87)) % 125.61/126.91 (step @p89 :rule refl :args (@t15)) % 125.61/126.91 (step @p90 :rule instantiate :premises (@p6) :args ((@list tptp.q tptp.p))) % 125.61/126.91 (step @p91 :rule cong :premises (@p90) :args (@t18)) % 125.61/126.91 (step @p92 :rule cong :premises (@p91 @p89) :args (@t19)) % 125.61/126.91 (step @p93 :rule trans :premises (@p92 @p88)) % 125.61/126.91 (step @p94 :rule cong :premises (@p93) :args (@t88)) % 125.61/126.91 (step @p95 :rule trans :premises (@p94 @p86)) % 125.61/126.91 (step @p96 :rule false_elim :premises (@p95)) % 125.61/126.91 (step @p97 :rule cnf_or_pos :args (@t91)) % 125.61/126.91 (step @p98 :rule reordering :premises (@p97) :args ((or @t88 @t89 @t90 (not @t91)))) % 125.61/126.91 (step @p99 false :rule chain_m_resolution :premises (@p98 @p96 @p35 @p24 @p23) :args (false (@list true false false false) (@list @t88 @t41 @t91 @t34))) % 125.61/126.91 ) % 125.61/126.98 % SZS output end Proof % 125.61/126.98 % cvc5 exiting %------------------------------------------------------------------------------