%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN982-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:10:11 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN982-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 23:50:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.quadr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.ssIm (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ssAk (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ssSb (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.ssBk (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.key (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.tb (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.bt $$unsorted) % 0.39/0.59 (declare-const tptp.encr (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.ssM (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ssP (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.at $$unsorted) % 0.39/0.59 (declare-const tptp.na $$unsorted) % 0.39/0.59 (declare-const tptp.ssBf (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.sent (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.t $$unsorted) % 0.39/0.59 (declare-const tptp.ssTk (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.ssNonce (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.b $$unsorted) % 0.39/0.59 (declare-const tptp.a $$unsorted) % 0.39/0.59 (declare-const tptp.ssIk (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ssSa (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.nb (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.kt (-> $$unsorted $$unsorted)) % 0.39/0.59 (define @t1 () (tptp.ssBf tptp.na)) % 0.39/0.59 (define @t2 () (tptp.ssP tptp.b)) % 0.39/0.59 (define @t3 () (tptp.ssP tptp.a)) % 0.39/0.59 (define @t4 () (@var "U" $$unsorted)) % 0.39/0.59 (define @t5 () (@list @t4)) % 0.39/0.59 (define @t6 () (@var "V" $$unsorted)) % 0.39/0.59 (define @t7 () (tptp.ssIm @t6)) % 0.39/0.59 (define @t8 () (tptp.pair @t4 @t6)) % 0.39/0.59 (define @t9 () (tptp.ssIm @t8)) % 0.39/0.59 (define @t10 () (not @t9)) % 0.39/0.59 (define @t11 () (@list @t4 @t6)) % 0.39/0.59 (define @t12 () (tptp.ssIm @t4)) % 0.39/0.59 (define @t13 () (tptp.pair tptp.a tptp.na)) % 0.39/0.59 (define @t14 () (tptp.ssM (tptp.sent tptp.a tptp.b @t13))) % 0.39/0.59 (define @t15 () (@var "W" $$unsorted)) % 0.39/0.59 (define @t16 () (tptp.ssIm @t15)) % 0.39/0.59 (define @t17 () (tptp.ssIm (tptp.triple @t4 @t6 @t15))) % 0.39/0.59 (define @t18 () (not @t17)) % 0.39/0.59 (define @t19 () (@list @t4 @t6 @t15)) % 0.39/0.59 (define @t20 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t21 () (tptp.ssIm @t20)) % 0.39/0.59 (define @t22 () (tptp.quadr @t4 @t6 @t15 @t20)) % 0.39/0.59 (define @t23 () (tptp.ssIm @t22)) % 0.39/0.59 (define @t24 () (not @t23)) % 0.39/0.59 (define @t25 () (@list @t4 @t6 @t15 @t20)) % 0.39/0.59 (define @t26 () (not (tptp.ssP @t6))) % 0.39/0.59 (define @t27 () (not @t12)) % 0.39/0.59 (define @t28 () (not @t7)) % 0.39/0.59 (define @t29 () (not (tptp.ssP @t15))) % 0.39/0.59 (define @t30 () (not @t16)) % 0.39/0.59 (define @t31 () (not (tptp.ssBf @t6))) % 0.39/0.59 (define @t32 () (not (tptp.ssM (tptp.sent @t4 tptp.b @t8)))) % 0.39/0.59 (define @t33 () (not (tptp.ssSa @t8))) % 0.39/0.59 (define @t34 () (@var "Z" $$unsorted)) % 0.39/0.59 (define @t35 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t36 () (not (tptp.ssM (tptp.sent tptp.t tptp.a (tptp.triple (tptp.encr @t22 tptp.at) @t35 @t34))))) % 0.39/0.59 (define @t37 () (@list @t4 @t6 @t15 @t20 @t35 @t34)) % 0.39/0.59 (define @t38 () (tptp.kt @t20)) % 0.39/0.59 (define @t39 () (@var "X1" $$unsorted)) % 0.39/0.59 (define @t40 () (tptp.nb tptp.na)) % 0.39/0.59 (define @t41 () (tptp.encr @t40 tptp.na)) % 0.39/0.59 (define @t42 () (tptp.encr (tptp.triple tptp.a tptp.na (tptp.tb tptp.na)) tptp.bt)) % 0.39/0.59 (define @t43 () (tptp.pair @t42 @t41)) % 0.39/0.59 (define @t44 () (@list tptp.a tptp.na)) % 0.39/0.59 (define @t45 () (tptp.ssIm @t13)) % 0.39/0.59 (define @t46 () (not @t14)) % 0.39/0.59 (define @t47 () (or @t46 @t45)) % 0.39/0.59 (define @t48 () (@list false false)) % 0.39/0.59 (define @t49 () (tptp.ssIm tptp.na)) % 0.39/0.59 (define @t50 () (not @t45)) % 0.39/0.59 (define @t51 () (or @t50 @t49)) % 0.39/0.59 (define @t52 () (tptp.key tptp.na tptp.a)) % 0.39/0.59 (define @t53 () (tptp.ssIk @t52)) % 0.39/0.59 (define @t54 () (not @t3)) % 0.39/0.59 (define @t55 () (not @t49)) % 0.39/0.59 (define @t56 () (or @t55 @t54 @t53)) % 0.39/0.59 (define @t57 () (@list false false false)) % 0.39/0.59 (define @t58 () (@list tptp.b @t40 @t42)) % 0.39/0.59 (define @t59 () (tptp.triple tptp.b @t40 @t42)) % 0.39/0.59 (define @t60 () (tptp.ssM (tptp.sent tptp.b tptp.t @t59))) % 0.39/0.59 (define @t61 () (not @t1)) % 0.39/0.59 (define @t62 () (or @t46 @t61 @t60)) % 0.39/0.59 (define @t63 () (tptp.ssIm @t59)) % 0.39/0.59 (define @t64 () (not @t60)) % 0.39/0.59 (define @t65 () (or @t64 @t63)) % 0.39/0.59 (define @t66 () (tptp.ssIm @t40)) % 0.39/0.59 (define @t67 () (not @t63)) % 0.39/0.59 (define @t68 () (or @t67 @t66)) % 0.39/0.59 (define @t69 () (tptp.ssIm @t41)) % 0.39/0.59 (define @t70 () (not @t53)) % 0.39/0.59 (define @t71 () (not @t66)) % 0.39/0.59 (define @t72 () (or @t71 @t70 @t54 @t69)) % 0.39/0.59 (define @t73 () (@list false false false false)) % 0.39/0.59 (define @t74 () (tptp.ssIm @t42)) % 0.39/0.59 (define @t75 () (or @t67 @t74)) % 0.39/0.59 (define @t76 () (tptp.ssIm @t43)) % 0.39/0.59 (define @t77 () (not @t69)) % 0.39/0.59 (define @t78 () (not @t74)) % 0.39/0.59 (define @t79 () (or @t78 @t77 @t76)) % 0.39/0.59 (define @t80 () (tptp.ssM (tptp.sent tptp.a tptp.b @t43))) % 0.39/0.59 (define @t81 () (not @t2)) % 0.39/0.59 (define @t82 () (not @t76)) % 0.39/0.59 (define @t83 () (or @t82 @t54 @t81 @t80)) % 0.39/0.59 (define @t84 () (tptp.ssSb @t13)) % 0.39/0.59 (define @t85 () (or @t46 @t61 @t84)) % 0.39/0.59 (define @t86 () (tptp.ssBk @t52)) % 0.39/0.59 (define @t87 () (not @t84)) % 0.39/0.59 (define @t88 () (not @t80)) % 0.39/0.59 (define @t89 () (or @t88 @t87 @t86)) % 0.39/0.59 (define @t90 () (tptp.ssIk (tptp.key tptp.na tptp.b))) % 0.39/0.59 (define @t91 () (or @t55 @t81 @t90)) % 0.39/0.59 (define @t92 () (not @t86)) % 0.39/0.59 (define @t93 () (not @t90)) % 0.39/0.59 (define @t94 () (or @t93 @t92)) % 0.39/0.59 (assume @p1 (tptp.ssNonce tptp.na)) % 0.39/0.59 (assume @p2 (tptp.ssP tptp.t)) % 0.39/0.59 (assume @p3 @t1) % 0.39/0.59 (assume @p4 @t2) % 0.39/0.59 (assume @p5 @t3) % 0.39/0.59 (assume @p6 (forall @t5 (tptp.ssNonce (tptp.nb @t4)))) % 0.39/0.59 (assume @p7 (forall @t5 (tptp.ssNonce (tptp.tb @t4)))) % 0.39/0.59 (assume @p8 (forall @t5 (not (tptp.ssNonce (tptp.kt @t4))))) % 0.39/0.59 (assume @p9 (tptp.ssTk (tptp.key tptp.bt tptp.b))) % 0.39/0.59 (assume @p10 (tptp.ssTk (tptp.key tptp.at tptp.a))) % 0.39/0.59 (assume @p11 (tptp.ssBk (tptp.key tptp.bt tptp.t))) % 0.39/0.59 (assume @p12 (tptp.ssSa (tptp.pair tptp.b tptp.na))) % 0.39/0.59 (assume @p13 (tptp.ssAk (tptp.key tptp.at tptp.t))) % 0.39/0.59 (assume @p14 (forall @t11 (or @t10 @t7))) % 0.39/0.59 (assume @p15 (forall @t11 (or @t10 @t12))) % 0.39/0.59 (assume @p16 @t14) % 0.39/0.59 (assume @p17 (forall @t19 (or @t18 @t16))) % 0.39/0.59 (assume @p18 (forall @t19 (or @t18 @t7))) % 0.39/0.59 (assume @p19 (forall @t19 (or @t18 @t12))) % 0.39/0.59 (assume @p20 (forall @t19 (or (not (tptp.ssM (tptp.sent @t4 @t6 @t15))) @t16))) % 0.39/0.59 (assume @p21 (forall @t25 (or @t24 @t21))) % 0.39/0.59 (assume @p22 (forall @t25 (or @t24 @t16))) % 0.39/0.59 (assume @p23 (forall @t25 (or @t24 @t7))) % 0.39/0.59 (assume @p24 (forall @t25 (or @t24 @t12))) % 0.39/0.59 (assume @p25 (forall @t11 (or @t27 @t26 (tptp.ssIk (tptp.key @t4 @t6))))) % 0.39/0.59 (assume @p26 (forall @t11 (or @t27 @t28 @t9))) % 0.39/0.59 (assume @p27 (forall @t19 (or @t27 @t26 @t29 (tptp.ssM (tptp.sent @t6 @t15 @t4))))) % 0.39/0.59 (assume @p28 (forall @t19 (or @t27 @t28 @t30 @t17))) % 0.39/0.59 (assume @p29 (forall @t19 (or @t27 (not (tptp.ssIk (tptp.key @t6 @t15))) @t29 (tptp.ssIm (tptp.encr @t4 @t6))))) % 0.39/0.59 (assume @p30 (forall @t11 (or @t32 @t31 (tptp.ssSb @t8)))) % 0.39/0.59 (assume @p31 (forall @t25 (or @t27 @t28 @t30 (not @t21) @t23))) % 0.39/0.59 (assume @p32 (forall @t37 (or @t36 @t33 (tptp.ssAk (tptp.key @t15 @t4))))) % 0.39/0.59 (assume @p33 (forall @t11 (or @t32 @t31 (tptp.ssM (tptp.sent tptp.b tptp.t (tptp.triple tptp.b (tptp.nb @t6) (tptp.encr (tptp.triple @t4 @t6 (tptp.tb @t6)) tptp.bt))))))) % 0.39/0.59 (assume @p34 (forall @t19 (or (not (tptp.ssM (tptp.sent @t4 tptp.b (tptp.pair (tptp.encr (tptp.triple @t4 @t6 (tptp.tb @t15)) tptp.bt) (tptp.encr (tptp.nb @t15) @t6))))) (not (tptp.ssSb (tptp.pair @t4 @t15))) (tptp.ssBk (tptp.key @t6 @t4))))) % 0.39/0.59 (assume @p35 (forall @t37 (or @t36 @t33 (tptp.ssM (tptp.sent tptp.a @t4 (tptp.pair @t35 (tptp.encr @t34 @t15))))))) % 0.39/0.59 (assume @p36 (forall (@list @t4 @t6 @t15 @t20 @t35 @t34 @t39) (or (not (tptp.ssM (tptp.sent @t4 tptp.t (tptp.triple @t4 @t6 (tptp.encr (tptp.triple @t15 @t20 @t35) @t34))))) (not (tptp.ssTk (tptp.key @t34 @t4))) (not (tptp.ssTk (tptp.key @t39 @t15))) (not (tptp.ssNonce @t20)) (tptp.ssM (tptp.sent tptp.t @t15 (tptp.triple (tptp.encr (tptp.quadr @t4 @t20 @t38 @t35) @t39) (tptp.encr (tptp.triple @t15 @t38 @t35) @t34) @t6)))))) % 0.39/0.59 (assume @p37 (forall @t5 (or (not (tptp.ssIk (tptp.key @t4 tptp.b))) (not (tptp.ssBk (tptp.key @t4 tptp.a)))))) % 0.39/0.59 (step @p38 :rule instantiate :premises (@p34) :args ((@list tptp.a tptp.na tptp.na))) % 0.39/0.59 (step @p39 :rule instantiate :premises (@p27) :args ((@list @t43 tptp.a tptp.b))) % 0.39/0.59 (step @p40 :rule instantiate :premises (@p26) :args ((@list @t42 @t41))) % 0.39/0.59 (step @p41 :rule instantiate :premises (@p29) :args ((@list @t40 tptp.na tptp.a))) % 0.39/0.59 (step @p42 :rule instantiate :premises (@p25) :args ((@list tptp.na tptp.a))) % 0.39/0.59 (step @p43 :rule instantiate :premises (@p14) :args (@t44)) % 0.39/0.59 (step @p44 :rule instantiate :premises (@p20) :args ((@list tptp.a tptp.b @t13))) % 0.39/0.59 (step @p45 :rule cnf_or_pos :args (@t47)) % 0.39/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t46 @t45 (not @t47)))) % 0.39/0.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p16 @p44) :args (@t45 @t48 (@list @t14 @t47))) % 0.39/0.59 (step @p48 :rule cnf_or_pos :args (@t51)) % 0.39/0.59 (step @p49 :rule reordering :premises (@p48) :args ((or @t49 @t50 (not @t51)))) % 0.39/0.59 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p43) :args (@t49 @t48 (@list @t45 @t51))) % 0.39/0.59 (step @p51 :rule cnf_or_pos :args (@t56)) % 0.39/0.59 (step @p52 :rule reordering :premises (@p51) :args ((or @t54 @t55 @t53 (not @t56)))) % 0.39/0.59 (step @p53 :rule chain_m_resolution :premises (@p52 @p5 @p50 @p42) :args (@t53 @t57 (@list @t3 @t49 @t56))) % 0.39/0.59 (step @p54 :rule instantiate :premises (@p18) :args (@t58)) % 0.39/0.59 (step @p55 :rule instantiate :premises (@p20) :args ((@list tptp.b tptp.t @t59))) % 0.39/0.59 (step @p56 :rule instantiate :premises (@p33) :args (@t44)) % 0.39/0.59 (step @p57 :rule cnf_or_pos :args (@t62)) % 0.39/0.59 (step @p58 :rule reordering :premises (@p57) :args ((or @t61 @t46 @t60 (not @t62)))) % 0.39/0.59 (step @p59 :rule chain_m_resolution :premises (@p58 @p3 @p16 @p56) :args (@t60 @t57 (@list @t1 @t14 @t62))) % 0.39/0.59 (step @p60 :rule cnf_or_pos :args (@t65)) % 0.39/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t64 @t63 (not @t65)))) % 0.39/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p55) :args (@t63 @t48 (@list @t60 @t65))) % 0.39/0.59 (step @p63 :rule cnf_or_pos :args (@t68)) % 0.39/0.59 (step @p64 :rule reordering :premises (@p63) :args ((or @t67 @t66 (not @t68)))) % 0.39/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p54) :args (@t66 @t48 (@list @t63 @t68))) % 0.39/0.59 (step @p66 :rule cnf_or_pos :args (@t72)) % 0.39/0.59 (step @p67 :rule reordering :premises (@p66) :args ((or @t54 @t71 @t69 @t70 (not @t72)))) % 0.39/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p5 @p65 @p53 @p41) :args (@t69 @t73 (@list @t3 @t66 @t53 @t72))) % 0.39/0.59 (step @p69 :rule instantiate :premises (@p17) :args (@t58)) % 0.39/0.59 (step @p70 :rule cnf_or_pos :args (@t75)) % 0.39/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t67 @t74 (not @t75)))) % 0.39/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p62 @p69) :args (@t74 @t48 (@list @t63 @t75))) % 0.39/0.59 (step @p73 :rule cnf_or_pos :args (@t79)) % 0.39/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t78 @t76 @t77 (not @t79)))) % 0.39/0.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p68 @p40) :args (@t76 @t57 (@list @t74 @t69 @t79))) % 0.39/0.59 (step @p76 :rule cnf_or_pos :args (@t83)) % 0.39/0.59 (step @p77 :rule reordering :premises (@p76) :args ((or @t81 @t54 @t80 @t82 (not @t83)))) % 0.39/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p4 @p5 @p75 @p39) :args (@t80 @t73 (@list @t2 @t3 @t76 @t83))) % 0.39/0.59 (step @p79 :rule instantiate :premises (@p30) :args (@t44)) % 0.39/0.59 (step @p80 :rule cnf_or_pos :args (@t85)) % 0.39/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t61 @t46 @t84 (not @t85)))) % 0.39/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p3 @p16 @p79) :args (@t84 @t57 (@list @t1 @t14 @t85))) % 0.39/0.59 (step @p83 :rule cnf_or_pos :args (@t89)) % 0.39/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t87 @t88 @t86 (not @t89)))) % 0.39/0.59 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p78 @p38) :args (@t86 @t57 (@list @t84 @t80 @t89))) % 0.39/0.59 (step @p86 :rule instantiate :premises (@p37) :args ((@list tptp.na))) % 0.39/0.59 (step @p87 :rule instantiate :premises (@p25) :args ((@list tptp.na tptp.b))) % 0.39/0.59 (step @p88 :rule cnf_or_pos :args (@t91)) % 0.39/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t81 @t55 @t90 (not @t91)))) % 0.39/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p4 @p50 @p87) :args (@t90 @t57 (@list @t2 @t49 @t91))) % 0.39/0.59 (step @p91 :rule cnf_or_pos :args (@t94)) % 0.39/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t92 @t93 (not @t94)))) % 0.39/0.59 (step @p93 false :rule chain_m_resolution :premises (@p92 @p90 @p86 @p85) :args (false @t57 (@list @t90 @t94 @t86))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------