%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL090-3 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:09:57 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL090-3 : TPTP v9.2.1. Released v2.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:23:08 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Unsatisfiable % 0.44/0.64 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.combS $$unsorted) % 0.44/0.65 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.comb $$unsorted) % 0.44/0.65 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.r $$unsorted) % 0.44/0.65 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.contract $$unsorted) % 0.44/0.65 (declare-const tptp.combK $$unsorted) % 0.44/0.65 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (define @t1 () (@var "Q" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "P" $$unsorted)) % 0.44/0.65 (define @t3 () (tptp.comb_app @t2 @t1)) % 0.44/0.65 (define @t4 () (@list @t2 @t1)) % 0.44/0.65 (define @t5 () (@var "P2" $$unsorted)) % 0.44/0.65 (define @t6 () (@var "P1" $$unsorted)) % 0.44/0.65 (define @t7 () (= @t6 @t5)) % 0.44/0.65 (define @t8 () (@var "Q2" $$unsorted)) % 0.44/0.65 (define @t9 () (@var "Q1" $$unsorted)) % 0.44/0.65 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 0.44/0.65 (define @t11 () (not @t10)) % 0.44/0.65 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 0.44/0.65 (define @t13 () (forall @t12 (or @t11 @t7))) % 0.44/0.65 (define @t14 () (= @t9 @t8)) % 0.44/0.65 (define @t15 () (@var "R" $$unsorted)) % 0.44/0.65 (define @t16 () (tptp.ap_contractE_c4 @t2 @t1 @t15)) % 0.44/0.65 (define @t17 () (tptp.ap_contractE_c3 @t2 @t1 @t15)) % 0.44/0.65 (define @t18 () (tptp.ap_contractE_c2 @t2 @t1 @t15)) % 0.44/0.65 (define @t19 () (tptp.ap_contractE_c1 @t2 @t1 @t15)) % 0.44/0.65 (define @t20 () (@list @t2 @t1 @t15)) % 0.44/0.65 (define @t21 () (not @t19)) % 0.44/0.65 (define @t22 () (tptp.member @t1 tptp.comb)) % 0.44/0.65 (define @t23 () (tptp.ap_contractE_sk1p @t2 @t1 @t15)) % 0.44/0.65 (define @t24 () (not @t18)) % 0.44/0.65 (define @t25 () (tptp.ap_contractE_sk1q @t2 @t1 @t15)) % 0.44/0.65 (define @t26 () (tptp.ap_contractE_sk2q @t2 @t1 @t15)) % 0.44/0.65 (define @t27 () (not @t17)) % 0.44/0.65 (define @t28 () (tptp.ap_contractE_sk3q @t2 @t1 @t15)) % 0.44/0.65 (define @t29 () (not @t16)) % 0.44/0.65 (define @t30 () (@list @t15)) % 0.44/0.65 (define @t31 () (tptp.comb_app tptp.combS tptp.combK)) % 0.44/0.65 (define @t32 () (tptp.member (tptp.pair (tptp.comb_app @t31 tptp.combK) tptp.r) tptp.contract)) % 0.44/0.65 (define @t33 () (@list @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t34 () (tptp.ap_contractE_sk3q @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t35 () (tptp.member (tptp.pair tptp.combK @t34) tptp.contract)) % 0.44/0.65 (define @t36 () (tptp.ap_contractE_c4 @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t37 () (not @t36)) % 0.44/0.65 (define @t38 () (or @t37 @t35)) % 0.44/0.65 (define @t39 () (@list true false)) % 0.44/0.65 (define @t40 () (tptp.ap_contractE_sk2q @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t41 () (@list tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t42 () (tptp.ap_contractE_sk3q tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t43 () (tptp.member (tptp.pair tptp.combK @t42) tptp.contract)) % 0.44/0.65 (define @t44 () (tptp.ap_contractE_c4 tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t45 () (not @t44)) % 0.44/0.65 (define @t46 () (or @t45 @t43)) % 0.44/0.65 (define @t47 () (tptp.ap_contractE_sk2q tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t48 () (tptp.member (tptp.pair tptp.combS @t47) tptp.contract)) % 0.44/0.65 (define @t49 () (tptp.ap_contractE_c3 tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t50 () (not @t49)) % 0.44/0.65 (define @t51 () (or @t50 @t48)) % 0.44/0.65 (define @t52 () (tptp.ap_contractE_sk1q tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t53 () (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p tptp.combS tptp.combK @t40))) % 0.44/0.65 (define @t54 () (= tptp.combS (tptp.comb_app @t53 @t52))) % 0.44/0.65 (define @t55 () (tptp.ap_contractE_c2 tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t56 () (not @t55)) % 0.44/0.65 (define @t57 () (or @t56 @t54)) % 0.44/0.65 (define @t58 () (= tptp.combS (tptp.comb_app tptp.combK @t40))) % 0.44/0.65 (define @t59 () (tptp.ap_contractE_c1 tptp.combS tptp.combK @t40)) % 0.44/0.65 (define @t60 () (not @t59)) % 0.44/0.65 (define @t61 () (or @t60 @t58)) % 0.44/0.65 (define @t62 () (tptp.member (tptp.pair @t31 @t40) tptp.contract)) % 0.44/0.65 (define @t63 () (not @t62)) % 0.44/0.65 (define @t64 () (or @t63 @t59 @t55 @t49 @t44)) % 0.44/0.65 (define @t65 () (tptp.ap_contractE_c3 @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t66 () (not @t65)) % 0.44/0.65 (define @t67 () (or @t66 @t62)) % 0.44/0.65 (define @t68 () (tptp.ap_contractE_sk1q @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t69 () (tptp.ap_contractE_sk1p @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t70 () (tptp.comb_app tptp.combS @t69)) % 0.44/0.65 (define @t71 () (= tptp.combS @t70)) % 0.44/0.65 (define @t72 () (= @t31 (tptp.comb_app @t70 @t68))) % 0.44/0.65 (define @t73 () (not @t72)) % 0.44/0.65 (define @t74 () (or @t73 @t71)) % 0.44/0.65 (define @t75 () (tptp.ap_contractE_c2 @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t76 () (not @t75)) % 0.44/0.65 (define @t77 () (or @t76 @t72)) % 0.44/0.65 (define @t78 () (tptp.ap_contractE_c1 @t31 tptp.combK tptp.r)) % 0.44/0.65 (define @t79 () (not @t32)) % 0.44/0.65 (define @t80 () (or @t79 @t78 @t75 @t65 @t36)) % 0.44/0.65 (define @t81 () (= @t31 (tptp.comb_app tptp.combK tptp.r))) % 0.44/0.65 (define @t82 () (not @t78)) % 0.44/0.65 (define @t83 () (or @t82 @t81)) % 0.44/0.65 (define @t84 () (= tptp.combS tptp.combK)) % 0.44/0.65 (define @t85 () (not @t81)) % 0.44/0.65 (define @t86 () (or @t85 @t84)) % 0.44/0.65 (define @t87 () (not @t86)) % 0.44/0.65 (assume @p1 (not (= tptp.combK tptp.combS))) % 0.44/0.65 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 0.44/0.65 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 0.44/0.65 (assume @p4 @t13) % 0.44/0.65 (assume @p5 (forall @t12 (or @t11 @t14))) % 0.44/0.65 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t14) @t10))) % 0.44/0.65 (assume @p7 (forall @t20 (or (not (tptp.member (tptp.pair @t3 @t15) tptp.contract)) @t19 @t18 @t17 @t16))) % 0.44/0.65 (assume @p8 (forall @t20 (or @t21 (tptp.member @t15 tptp.comb)))) % 0.44/0.65 (assume @p9 (forall @t20 (or @t21 @t22))) % 0.44/0.65 (assume @p10 (forall @t20 (or @t21 (= @t2 (tptp.comb_app tptp.combK @t15))))) % 0.44/0.65 (assume @p11 (forall @t20 (or @t24 (tptp.member @t23 tptp.comb)))) % 0.44/0.65 (assume @p12 (forall @t20 (or @t24 (tptp.member @t25 tptp.comb)))) % 0.44/0.65 (assume @p13 (forall @t20 (or @t24 @t22))) % 0.44/0.65 (assume @p14 (forall @t20 (or @t24 (= @t15 (tptp.comb_app (tptp.comb_app @t23 @t1) (tptp.comb_app @t25 @t1)))))) % 0.44/0.65 (assume @p15 (forall @t20 (or @t24 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t23) @t25))))) % 0.44/0.65 (assume @p16 (forall @t20 (or @t27 (tptp.member (tptp.pair @t2 @t26) tptp.contract)))) % 0.44/0.65 (assume @p17 (forall @t20 (or @t27 @t22))) % 0.44/0.65 (assume @p18 (forall @t20 (or @t27 (= @t15 (tptp.comb_app @t26 @t1))))) % 0.44/0.65 (assume @p19 (forall @t20 (or @t29 (tptp.member (tptp.pair @t1 @t28) tptp.contract)))) % 0.44/0.65 (assume @p20 (forall @t20 (or @t29 (tptp.member @t2 tptp.comb)))) % 0.44/0.65 (assume @p21 (forall @t20 (or @t29 (= @t15 (tptp.comb_app @t2 @t28))))) % 0.44/0.65 (assume @p22 (forall @t30 (not (tptp.member (tptp.pair tptp.combK @t15) tptp.contract)))) % 0.44/0.65 (assume @p23 (forall @t30 (not (tptp.member (tptp.pair tptp.combS @t15) tptp.contract)))) % 0.44/0.65 (assume @p24 @t32) % 0.44/0.65 (step @p25 :rule instantiate :premises (@p10) :args (@t33)) % 0.44/0.65 (step @p26 :rule instantiate :premises (@p7) :args (@t33)) % 0.44/0.65 (step @p27 :rule instantiate :premises (@p19) :args (@t33)) % 0.44/0.65 (step @p28 :rule instantiate :premises (@p22) :args ((@list @t34))) % 0.44/0.65 (step @p29 :rule cnf_or_pos :args (@t38)) % 0.44/0.65 (step @p30 :rule reordering :premises (@p29) :args ((or @t37 @t35 (not @t38)))) % 0.44/0.65 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p27) :args (@t37 @t39 (@list @t35 @t38))) % 0.44/0.65 (step @p32 :rule instantiate :premises (@p16) :args (@t33)) % 0.44/0.65 (step @p33 :rule instantiate :premises (@p7) :args (@t41)) % 0.44/0.65 (step @p34 :rule instantiate :premises (@p19) :args (@t41)) % 0.44/0.65 (step @p35 :rule instantiate :premises (@p22) :args ((@list @t42))) % 0.44/0.65 (step @p36 :rule cnf_or_pos :args (@t46)) % 0.44/0.65 (step @p37 :rule reordering :premises (@p36) :args ((or @t45 @t43 (not @t46)))) % 0.44/0.65 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p34) :args (@t45 @t39 (@list @t43 @t46))) % 0.44/0.65 (step @p39 :rule instantiate :premises (@p16) :args (@t41)) % 0.44/0.65 (step @p40 :rule instantiate :premises (@p23) :args ((@list @t47))) % 0.44/0.65 (step @p41 :rule cnf_or_pos :args (@t51)) % 0.44/0.65 (step @p42 :rule reordering :premises (@p41) :args ((or @t50 @t48 (not @t51)))) % 0.44/0.65 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p39) :args (@t50 @t39 (@list @t48 @t51))) % 0.44/0.65 (step @p44 :rule instantiate :premises (@p15) :args (@t41)) % 0.44/0.65 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t53 @t52))) % 0.44/0.65 (step @p46 :rule cnf_or_pos :args (@t57)) % 0.44/0.65 (step @p47 :rule reordering :premises (@p46) :args ((or @t56 @t54 (not @t57)))) % 0.44/0.65 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44) :args (@t56 @t39 (@list @t54 @t57))) % 0.44/0.65 (step @p49 :rule instantiate :premises (@p10) :args (@t41)) % 0.44/0.65 (step @p50 :rule instantiate :premises (@p3) :args ((@list tptp.combK @t40))) % 0.44/0.65 (step @p51 :rule cnf_or_pos :args (@t61)) % 0.44/0.65 (step @p52 :rule reordering :premises (@p51) :args ((or @t60 @t58 (not @t61)))) % 0.44/0.65 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p49) :args (@t60 @t39 (@list @t58 @t61))) % 0.44/0.65 (step @p54 :rule cnf_or_pos :args (@t64)) % 0.44/0.65 (step @p55 :rule reordering :premises (@p54) :args ((or @t63 @t59 @t55 @t49 @t44 (not @t64)))) % 0.44/0.65 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p48 @p43 @p38 @p33) :args (@t63 (@list true true true true false) (@list @t59 @t55 @t49 @t44 @t64))) % 0.44/0.65 (step @p57 :rule cnf_or_pos :args (@t67)) % 0.44/0.65 (step @p58 :rule reordering :premises (@p57) :args ((or @t66 @t62 (not @t67)))) % 0.44/0.65 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p32) :args (@t66 @t39 (@list @t62 @t67))) % 0.44/0.65 (step @p60 :rule instantiate :premises (@p15) :args (@t33)) % 0.44/0.65 (step @p61 :rule instantiate :premises (@p4) :args ((@list tptp.combS tptp.combK @t70 @t68))) % 0.44/0.65 (step @p62 :rule instantiate :premises (@p3) :args ((@list tptp.combS @t69))) % 0.44/0.65 (step @p63 :rule cnf_or_pos :args (@t74)) % 0.44/0.65 (step @p64 :rule reordering :premises (@p63) :args ((or @t73 @t71 (not @t74)))) % 0.44/0.65 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61) :args (@t73 @t39 (@list @t71 @t74))) % 0.44/0.65 (step @p66 :rule cnf_or_pos :args (@t77)) % 0.44/0.65 (step @p67 :rule reordering :premises (@p66) :args ((or @t76 @t72 (not @t77)))) % 0.44/0.65 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p60) :args (@t76 @t39 (@list @t72 @t77))) % 0.44/0.65 (step @p69 :rule cnf_or_pos :args (@t80)) % 0.44/0.65 (step @p70 :rule reordering :premises (@p69) :args ((or @t79 @t78 @t75 @t65 @t36 (not @t80)))) % 0.44/0.65 (step @p71 :rule chain_m_resolution :premises (@p70 @p24 @p68 @p59 @p31 @p26) :args (@t78 (@list false true true true false) (@list @t32 @t75 @t65 @t36 @t80))) % 0.44/0.65 (step @p72 :rule cnf_or_pos :args (@t83)) % 0.44/0.65 (step @p73 :rule reordering :premises (@p72) :args ((or @t82 @t81 (not @t83)))) % 0.44/0.65 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p25) :args (@t81 (@list false false) (@list @t78 @t83))) % 0.44/0.65 (step @p75 :rule symm :premises (@p1)) % 0.44/0.65 (step @p76 :rule cnf_or_pos :args (@t86)) % 0.44/0.65 (step @p77 :rule reordering :premises (@p76) :args ((or @t84 @t85 @t87))) % 0.44/0.65 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p74) :args (@t87 @t39 (@list @t84 @t81))) % 0.44/0.65 (assume-push @p85 @t13) % 0.44/0.65 (step @p80 :rule instantiate :premises (@p4) :args ((@list tptp.combS tptp.combK tptp.combK tptp.r))) % 0.44/0.65 (step-pop @p86 :rule scope :premises (@p80)) % 0.44/0.65 (step @p81 :rule process_scope :premises (@p86) :args (@t86)) % 0.44/0.65 (step @p83 :rule implies_elim :premises (@p81)) % 0.44/0.65 (step @p84 false :rule chain_m_resolution :premises (@p83 @p78 @p4) :args (false @t39 (@list @t86 @t13))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------