%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL090-1 : 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 : n014.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 63.93s 64.13s % Output : Proof 63.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL090-1 : 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 % 0.17/0.34 % Computer : n014.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 : Mon Jun 1 20:23:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.42/15.66 --- Run --no-e-matching --full-saturate-quant at 6... % 21.54/21.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.52/27.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.79 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.70/63.98 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.93/64.13 % SZS status Unsatisfiable % 63.93/64.13 % SZS output start Proof % 63.93/64.13 ( % 63.93/64.13 (declare-sort $$unsorted 0) % 63.93/64.13 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.combS $$unsorted) % 63.93/64.13 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.rtrancl (-> $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.combK $$unsorted) % 63.93/64.13 (declare-const tptp.comb $$unsorted) % 63.93/64.13 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.93/64.13 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 63.93/64.13 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.93/64.13 (declare-const tptp.contract $$unsorted) % 63.93/64.13 (declare-const tptp.r $$unsorted) % 63.93/64.13 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.93/64.13 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.93/64.13 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.93/64.13 (define @t1 () (@var "Q" $$unsorted)) % 63.93/64.13 (define @t2 () (@var "P" $$unsorted)) % 63.93/64.13 (define @t3 () (tptp.comb_app @t2 @t1)) % 63.93/64.13 (define @t4 () (@list @t2 @t1)) % 63.93/64.13 (define @t5 () (@var "P2" $$unsorted)) % 63.93/64.13 (define @t6 () (@var "P1" $$unsorted)) % 63.93/64.13 (define @t7 () (= @t6 @t5)) % 63.93/64.13 (define @t8 () (@var "Q2" $$unsorted)) % 63.93/64.13 (define @t9 () (@var "Q1" $$unsorted)) % 63.93/64.13 (define @t10 () (= (tptp.comb_app @t6 @t9) (tptp.comb_app @t5 @t8))) % 63.93/64.13 (define @t11 () (not @t10)) % 63.93/64.13 (define @t12 () (@list @t6 @t9 @t5 @t8)) % 63.93/64.13 (define @t13 () (= @t9 @t8)) % 63.93/64.13 (define @t14 () (tptp.member @t2 tptp.comb)) % 63.93/64.13 (define @t15 () (tptp.member @t3 tptp.comb)) % 63.93/64.13 (define @t16 () (not @t15)) % 63.93/64.13 (define @t17 () (tptp.member @t1 tptp.comb)) % 63.93/64.13 (define @t18 () (not @t17)) % 63.93/64.13 (define @t19 () (not @t14)) % 63.93/64.13 (define @t20 () (@var "A" $$unsorted)) % 63.93/64.13 (define @t21 () (@var "R" $$unsorted)) % 63.93/64.13 (define @t22 () (tptp.member @t21 tptp.comb)) % 63.93/64.13 (define @t23 () (@list @t2 @t1 @t21)) % 63.93/64.13 (define @t24 () (tptp.ap_contractE_c4 @t2 @t1 @t21)) % 63.93/64.13 (define @t25 () (tptp.ap_contractE_c3 @t2 @t1 @t21)) % 63.93/64.13 (define @t26 () (tptp.ap_contractE_c2 @t2 @t1 @t21)) % 63.93/64.13 (define @t27 () (tptp.ap_contractE_c1 @t2 @t1 @t21)) % 63.93/64.13 (define @t28 () (not @t27)) % 63.93/64.13 (define @t29 () (tptp.ap_contractE_sk1p @t2 @t1 @t21)) % 63.93/64.13 (define @t30 () (not @t26)) % 63.93/64.13 (define @t31 () (tptp.ap_contractE_sk1q @t2 @t1 @t21)) % 63.93/64.13 (define @t32 () (tptp.ap_contractE_sk2q @t2 @t1 @t21)) % 63.93/64.13 (define @t33 () (not @t25)) % 63.93/64.13 (define @t34 () (tptp.ap_contractE_sk3q @t2 @t1 @t21)) % 63.93/64.13 (define @t35 () (not @t24)) % 63.93/64.13 (define @t36 () (@list @t21)) % 63.93/64.13 (define @t37 () (forall @t36 (not (tptp.member (tptp.pair tptp.combK @t21) tptp.contract)))) % 63.93/64.13 (define @t38 () (tptp.comb_app tptp.combS tptp.combK)) % 63.93/64.13 (define @t39 () (tptp.member (tptp.pair (tptp.comb_app @t38 tptp.combK) tptp.r) tptp.contract)) % 63.93/64.13 (define @t40 () (@list @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t41 () (tptp.ap_contractE_sk2q @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t42 () (@list tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t43 () (tptp.ap_contractE_sk3q tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t44 () (tptp.member (tptp.pair tptp.combK @t43) tptp.contract)) % 63.93/64.13 (define @t45 () (tptp.ap_contractE_c4 tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t46 () (not @t45)) % 63.93/64.13 (define @t47 () (or @t46 @t44)) % 63.93/64.13 (define @t48 () (@list true false)) % 63.93/64.13 (define @t49 () (tptp.ap_contractE_sk2q tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t50 () (tptp.member (tptp.pair tptp.combS @t49) tptp.contract)) % 63.93/64.13 (define @t51 () (tptp.ap_contractE_c3 tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t52 () (not @t51)) % 63.93/64.13 (define @t53 () (or @t52 @t50)) % 63.93/64.13 (define @t54 () (tptp.ap_contractE_sk1q tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t55 () (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p tptp.combS tptp.combK @t41))) % 63.93/64.13 (define @t56 () (= tptp.combS (tptp.comb_app @t55 @t54))) % 63.93/64.13 (define @t57 () (tptp.ap_contractE_c2 tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t58 () (not @t57)) % 63.93/64.13 (define @t59 () (or @t58 @t56)) % 63.93/64.13 (define @t60 () (= tptp.combS (tptp.comb_app tptp.combK @t41))) % 63.93/64.13 (define @t61 () (tptp.ap_contractE_c1 tptp.combS tptp.combK @t41)) % 63.93/64.13 (define @t62 () (not @t61)) % 63.93/64.13 (define @t63 () (or @t62 @t60)) % 63.93/64.13 (define @t64 () (tptp.member (tptp.pair @t38 @t41) tptp.contract)) % 63.93/64.13 (define @t65 () (not @t64)) % 63.93/64.13 (define @t66 () (or @t65 @t61 @t57 @t51 @t45)) % 63.93/64.13 (define @t67 () (tptp.ap_contractE_c3 @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t68 () (not @t67)) % 63.93/64.13 (define @t69 () (or @t68 @t64)) % 63.93/64.13 (define @t70 () (tptp.ap_contractE_sk1q @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t71 () (tptp.ap_contractE_sk1p @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t72 () (tptp.comb_app tptp.combS @t71)) % 63.93/64.13 (define @t73 () (= tptp.combS @t72)) % 63.93/64.13 (define @t74 () (= @t38 (tptp.comb_app @t72 @t70))) % 63.93/64.13 (define @t75 () (not @t74)) % 63.93/64.13 (define @t76 () (or @t75 @t73)) % 63.93/64.13 (define @t77 () (tptp.ap_contractE_c2 @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t78 () (not @t77)) % 63.93/64.13 (define @t79 () (or @t78 @t74)) % 63.93/64.13 (define @t80 () (= tptp.combS tptp.combK)) % 63.93/64.13 (define @t81 () (= @t38 (tptp.comb_app tptp.combK tptp.r))) % 63.93/64.13 (define @t82 () (not @t81)) % 63.93/64.13 (define @t83 () (or @t82 @t80)) % 63.93/64.13 (define @t84 () (tptp.ap_contractE_c1 @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t85 () (not @t84)) % 63.93/64.13 (define @t86 () (or @t85 @t81)) % 63.93/64.13 (define @t87 () (tptp.ap_contractE_c4 @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t88 () (not @t39)) % 63.93/64.13 (define @t89 () (or @t88 @t84 @t77 @t67 @t87)) % 63.93/64.13 (define @t90 () (tptp.ap_contractE_sk3q @t38 tptp.combK tptp.r)) % 63.93/64.13 (define @t91 () (tptp.member (tptp.pair tptp.combK @t90) tptp.contract)) % 63.93/64.13 (define @t92 () (not @t87)) % 63.93/64.13 (define @t93 () (or @t92 @t91)) % 63.93/64.13 (define @t94 () (@list false false)) % 63.93/64.13 (assume @p1 (not (= tptp.combK tptp.combS))) % 63.93/64.13 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 63.93/64.13 (assume @p3 (forall @t4 (not (= tptp.combS @t3)))) % 63.93/64.13 (assume @p4 (forall @t12 (or @t11 @t7))) % 63.93/64.13 (assume @p5 (forall @t12 (or @t11 @t13))) % 63.93/64.13 (assume @p6 (forall (@list @t6 @t5 @t9 @t8) (or (not @t7) (not @t13) @t10))) % 63.93/64.13 (assume @p7 (forall @t4 (or @t16 @t14))) % 63.93/64.13 (assume @p8 (forall @t4 (or @t16 @t17))) % 63.93/64.13 (assume @p9 (tptp.member tptp.combK tptp.comb)) % 63.93/64.13 (assume @p10 (tptp.member tptp.combS tptp.comb)) % 63.93/64.13 (assume @p11 (forall @t4 (or @t19 @t18 @t15))) % 63.93/64.13 (assume @p12 (forall (@list @t20) (or (not (tptp.member @t20 tptp.comb)) (tptp.member (tptp.pair @t20 @t20) (tptp.rtrancl tptp.contract))))) % 63.93/64.13 (assume @p13 (forall @t4 (or @t19 @t18 (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK @t2) @t1) @t2) tptp.contract)))) % 63.93/64.13 (assume @p14 (forall @t23 (or @t19 @t18 (not @t22) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS @t2) @t1) @t21) (tptp.comb_app (tptp.comb_app @t2 @t21) (tptp.comb_app @t1 @t21))) tptp.contract)))) % 63.93/64.13 (assume @p15 (forall @t23 (or (not (tptp.member (tptp.pair @t3 @t21) tptp.contract)) @t27 @t26 @t25 @t24))) % 63.93/64.13 (assume @p16 (forall @t23 (or @t28 @t22))) % 63.93/64.13 (assume @p17 (forall @t23 (or @t28 @t17))) % 63.93/64.13 (assume @p18 (forall @t23 (or @t28 (= @t2 (tptp.comb_app tptp.combK @t21))))) % 63.93/64.13 (assume @p19 (forall @t23 (or @t30 (tptp.member @t29 tptp.comb)))) % 63.93/64.13 (assume @p20 (forall @t23 (or @t30 (tptp.member @t31 tptp.comb)))) % 63.93/64.13 (assume @p21 (forall @t23 (or @t30 @t17))) % 63.93/64.13 (assume @p22 (forall @t23 (or @t30 (= @t21 (tptp.comb_app (tptp.comb_app @t29 @t1) (tptp.comb_app @t31 @t1)))))) % 63.93/64.13 (assume @p23 (forall @t23 (or @t30 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t29) @t31))))) % 63.93/64.13 (assume @p24 (forall @t23 (or @t33 (tptp.member (tptp.pair @t2 @t32) tptp.contract)))) % 63.93/64.13 (assume @p25 (forall @t23 (or @t33 @t17))) % 63.93/64.13 (assume @p26 (forall @t23 (or @t33 (= @t21 (tptp.comb_app @t32 @t1))))) % 63.93/64.13 (assume @p27 (forall @t23 (or @t35 (tptp.member (tptp.pair @t1 @t34) tptp.contract)))) % 63.93/64.13 (assume @p28 (forall @t23 (or @t35 @t14))) % 63.93/64.13 (assume @p29 (forall @t23 (or @t35 (= @t21 (tptp.comb_app @t2 @t34))))) % 63.93/64.13 (assume @p30 @t37) % 63.93/64.13 (assume @p31 (forall @t36 (not (tptp.member (tptp.pair tptp.combS @t21) tptp.contract)))) % 63.93/64.13 (assume @p32 @t39) % 63.93/64.13 (step @p33 :rule instantiate :premises (@p27) :args (@t40)) % 63.93/64.13 (step @p34 :rule instantiate :premises (@p15) :args (@t40)) % 63.93/64.13 (step @p35 :rule instantiate :premises (@p24) :args (@t40)) % 63.93/64.13 (step @p36 :rule instantiate :premises (@p15) :args (@t42)) % 63.93/64.13 (step @p37 :rule instantiate :premises (@p27) :args (@t42)) % 63.93/64.13 (step @p38 :rule instantiate :premises (@p30) :args ((@list @t43))) % 63.93/64.13 (step @p39 :rule cnf_or_pos :args (@t47)) % 63.93/64.13 (step @p40 :rule reordering :premises (@p39) :args ((or @t46 @t44 (not @t47)))) % 63.93/64.13 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t46 @t48 (@list @t44 @t47))) % 63.93/64.13 (step @p42 :rule instantiate :premises (@p24) :args (@t42)) % 63.93/64.13 (step @p43 :rule instantiate :premises (@p31) :args ((@list @t49))) % 63.93/64.13 (step @p44 :rule cnf_or_pos :args (@t53)) % 63.93/64.13 (step @p45 :rule reordering :premises (@p44) :args ((or @t52 @t50 (not @t53)))) % 63.93/64.13 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42) :args (@t52 @t48 (@list @t50 @t53))) % 63.93/64.13 (step @p47 :rule instantiate :premises (@p23) :args (@t42)) % 63.93/64.13 (step @p48 :rule instantiate :premises (@p3) :args ((@list @t55 @t54))) % 63.93/64.13 (step @p49 :rule cnf_or_pos :args (@t59)) % 63.93/64.13 (step @p50 :rule reordering :premises (@p49) :args ((or @t58 @t56 (not @t59)))) % 63.93/64.13 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47) :args (@t58 @t48 (@list @t56 @t59))) % 63.93/64.13 (step @p52 :rule instantiate :premises (@p18) :args (@t42)) % 63.93/64.13 (step @p53 :rule instantiate :premises (@p3) :args ((@list tptp.combK @t41))) % 63.93/64.13 (step @p54 :rule cnf_or_pos :args (@t63)) % 63.93/64.13 (step @p55 :rule reordering :premises (@p54) :args ((or @t62 @t60 (not @t63)))) % 63.93/64.13 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52) :args (@t62 @t48 (@list @t60 @t63))) % 63.93/64.13 (step @p57 :rule cnf_or_pos :args (@t66)) % 63.93/64.13 (step @p58 :rule reordering :premises (@p57) :args ((or @t65 @t61 @t57 @t51 @t45 (not @t66)))) % 63.93/64.13 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p51 @p46 @p41 @p36) :args (@t65 (@list true true true true false) (@list @t61 @t57 @t51 @t45 @t66))) % 63.93/64.13 (step @p60 :rule cnf_or_pos :args (@t69)) % 63.93/64.13 (step @p61 :rule reordering :premises (@p60) :args ((or @t68 @t64 (not @t69)))) % 63.93/64.13 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p35) :args (@t68 @t48 (@list @t64 @t69))) % 63.93/64.13 (step @p63 :rule instantiate :premises (@p23) :args (@t40)) % 63.93/64.13 (step @p64 :rule instantiate :premises (@p4) :args ((@list tptp.combS tptp.combK @t72 @t70))) % 63.93/64.13 (step @p65 :rule instantiate :premises (@p3) :args ((@list tptp.combS @t71))) % 63.93/64.13 (step @p66 :rule cnf_or_pos :args (@t76)) % 63.93/64.13 (step @p67 :rule reordering :premises (@p66) :args ((or @t75 @t73 (not @t76)))) % 63.93/64.13 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p64) :args (@t75 @t48 (@list @t73 @t76))) % 63.93/64.13 (step @p69 :rule cnf_or_pos :args (@t79)) % 63.93/64.13 (step @p70 :rule reordering :premises (@p69) :args ((or @t78 @t74 (not @t79)))) % 63.93/64.13 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p63) :args (@t78 @t48 (@list @t74 @t79))) % 63.93/64.13 (step @p72 :rule instantiate :premises (@p18) :args (@t40)) % 63.93/64.13 (step @p73 :rule instantiate :premises (@p4) :args ((@list tptp.combS tptp.combK tptp.combK tptp.r))) % 63.93/64.13 (step @p74 :rule symm :premises (@p1)) % 63.93/64.13 (step @p75 :rule cnf_or_pos :args (@t83)) % 63.93/64.13 (step @p76 :rule reordering :premises (@p75) :args ((or @t80 @t82 (not @t83)))) % 63.93/64.13 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p73) :args (@t82 @t48 (@list @t80 @t83))) % 63.93/64.13 (step @p78 :rule cnf_or_pos :args (@t86)) % 63.93/64.13 (step @p79 :rule reordering :premises (@p78) :args ((or @t85 @t81 (not @t86)))) % 63.93/64.13 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p72) :args (@t85 @t48 (@list @t81 @t86))) % 63.93/64.13 (step @p81 :rule cnf_or_pos :args (@t89)) % 63.93/64.13 (step @p82 :rule reordering :premises (@p81) :args ((or @t88 @t84 @t77 @t67 @t87 (not @t89)))) % 63.93/64.13 (step @p83 :rule chain_m_resolution :premises (@p82 @p32 @p80 @p71 @p62 @p34) :args (@t87 (@list false true true true false) (@list @t39 @t84 @t77 @t67 @t89))) % 63.93/64.13 (step @p84 :rule cnf_or_pos :args (@t93)) % 63.93/64.13 (step @p85 :rule reordering :premises (@p84) :args ((or @t92 @t91 (not @t93)))) % 63.93/64.13 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p33) :args (@t91 @t94 (@list @t87 @t93))) % 63.93/64.13 (assume-push @p93 @t37) % 63.93/64.13 (step @p88 :rule instantiate :premises (@p30) :args ((@list @t90))) % 63.93/64.13 (step-pop @p94 :rule scope :premises (@p88)) % 63.93/64.13 (step @p89 :rule process_scope :premises (@p94) :args ((not @t91))) % 63.93/64.13 (step @p91 :rule implies_elim :premises (@p89)) % 63.93/64.13 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p30) :args (false @t94 (@list @t91 @t37))) % 63.93/64.13 ) % 63.93/64.13 % SZS output end Proof % 63.93/64.13 % cvc5 exiting %------------------------------------------------------------------------------