%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN002-1.007.008 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:07:46 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN002-1.007.008 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.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 : Tue Jun 2 23:16:25 EDT 2026 % 0.16/0.35 % 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... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.p (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t2 () (tptp.f (tptp.f (tptp.f (tptp.f (tptp.f (tptp.f (tptp.f @t1)))))))) % 0.38/0.58 (define @t3 () (tptp.p @t1)) % 0.38/0.58 (define @t4 () (@list @t1)) % 0.38/0.58 (define @t5 () (@const 0 $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.f @t5)) % 0.38/0.58 (define @t7 () (tptp.f @t6)) % 0.38/0.58 (define @t8 () (tptp.f @t7)) % 0.38/0.58 (define @t9 () (tptp.f @t8)) % 0.38/0.58 (define @t10 () (tptp.f @t9)) % 0.38/0.58 (define @t11 () (tptp.f @t10)) % 0.38/0.58 (define @t12 () (tptp.f @t11)) % 0.38/0.58 (define @t13 () (tptp.f @t12)) % 0.38/0.58 (define @t14 () (tptp.f @t13)) % 0.38/0.58 (define @t15 () (tptp.f @t14)) % 0.38/0.58 (define @t16 () (tptp.f @t15)) % 0.38/0.58 (define @t17 () (@list @t16)) % 0.38/0.58 (define @t18 () (@list @t15)) % 0.38/0.58 (define @t19 () (@list @t14)) % 0.38/0.58 (define @t20 () (@list @t13)) % 0.38/0.58 (define @t21 () (@list @t12)) % 0.38/0.58 (define @t22 () (@list @t5)) % 0.38/0.58 (define @t23 () (tptp.p @t12)) % 0.38/0.58 (define @t24 () (tptp.p @t5)) % 0.38/0.58 (define @t25 () (or @t24 @t23)) % 0.38/0.58 (define @t26 () (tptp.f @t16)) % 0.38/0.58 (define @t27 () (tptp.f @t26)) % 0.38/0.58 (define @t28 () (tptp.f @t27)) % 0.38/0.58 (define @t29 () (tptp.p @t28)) % 0.38/0.58 (define @t30 () (or @t23 @t29)) % 0.38/0.58 (define @t31 () (tptp.p @t13)) % 0.38/0.58 (define @t32 () (not @t31)) % 0.38/0.58 (define @t33 () (not @t24)) % 0.38/0.58 (define @t34 () (or @t33 @t32)) % 0.38/0.58 (define @t35 () (@list @t11)) % 0.38/0.58 (define @t36 () (not @t29)) % 0.38/0.58 (define @t37 () (tptp.p @t11)) % 0.38/0.58 (define @t38 () (not @t37)) % 0.38/0.58 (define @t39 () (or @t38 @t36)) % 0.38/0.58 (define @t40 () (@list @t6)) % 0.38/0.58 (define @t41 () (tptp.p @t6)) % 0.38/0.58 (define @t42 () (or @t41 @t31)) % 0.38/0.58 (define @t43 () (tptp.p @t27)) % 0.38/0.58 (define @t44 () (or @t37 @t43)) % 0.38/0.58 (define @t45 () (tptp.p @t14)) % 0.38/0.58 (define @t46 () (not @t45)) % 0.38/0.58 (define @t47 () (not @t41)) % 0.38/0.58 (define @t48 () (or @t47 @t46)) % 0.38/0.58 (define @t49 () (@list @t10)) % 0.38/0.58 (define @t50 () (not @t43)) % 0.38/0.58 (define @t51 () (tptp.p @t10)) % 0.38/0.58 (define @t52 () (not @t51)) % 0.38/0.58 (define @t53 () (or @t52 @t50)) % 0.38/0.58 (define @t54 () (@list @t7)) % 0.38/0.58 (define @t55 () (tptp.p @t7)) % 0.38/0.58 (define @t56 () (or @t55 @t45)) % 0.38/0.58 (define @t57 () (tptp.p @t26)) % 0.38/0.58 (define @t58 () (or @t51 @t57)) % 0.38/0.58 (define @t59 () (tptp.p @t15)) % 0.38/0.58 (define @t60 () (not @t59)) % 0.38/0.58 (define @t61 () (not @t55)) % 0.38/0.58 (define @t62 () (or @t61 @t60)) % 0.38/0.58 (define @t63 () (@list @t9)) % 0.38/0.58 (define @t64 () (not @t57)) % 0.38/0.58 (define @t65 () (tptp.p @t9)) % 0.38/0.58 (define @t66 () (not @t65)) % 0.38/0.58 (define @t67 () (or @t66 @t64)) % 0.38/0.58 (define @t68 () (@list @t8)) % 0.38/0.58 (define @t69 () (tptp.p @t8)) % 0.38/0.58 (define @t70 () (or @t69 @t59)) % 0.38/0.58 (define @t71 () (tptp.p @t16)) % 0.38/0.58 (define @t72 () (or @t65 @t71)) % 0.38/0.58 (define @t73 () (not @t71)) % 0.38/0.58 (define @t74 () (not @t69)) % 0.38/0.58 (define @t75 () (or @t74 @t73)) % 0.38/0.58 (define @t76 () (tptp.f @t28)) % 0.38/0.58 (define @t77 () (tptp.p @t76)) % 0.38/0.58 (define @t78 () (not @t77)) % 0.38/0.58 (define @t79 () (not @t23)) % 0.38/0.58 (define @t80 () (or @t79 @t78)) % 0.38/0.58 (define @t81 () (@list false false)) % 0.38/0.58 (define @t82 () (or @t31 @t77)) % 0.38/0.58 (define @t83 () (@list true false)) % 0.38/0.58 (define @t84 () (tptp.f @t76)) % 0.38/0.58 (define @t85 () (tptp.p @t84)) % 0.38/0.58 (define @t86 () (not @t85)) % 0.38/0.58 (define @t87 () (or @t32 @t86)) % 0.38/0.58 (define @t88 () (or @t45 @t85)) % 0.38/0.58 (define @t89 () (tptp.f @t84)) % 0.38/0.58 (define @t90 () (tptp.p @t89)) % 0.38/0.58 (define @t91 () (not @t90)) % 0.38/0.58 (define @t92 () (or @t46 @t91)) % 0.38/0.58 (define @t93 () (or @t59 @t90)) % 0.38/0.58 (define @t94 () (tptp.f @t89)) % 0.38/0.58 (define @t95 () (tptp.p @t94)) % 0.38/0.58 (define @t96 () (not @t95)) % 0.38/0.58 (define @t97 () (or @t60 @t96)) % 0.38/0.58 (define @t98 () (or @t71 @t95)) % 0.38/0.58 (define @t99 () (@list @t26)) % 0.38/0.58 (define @t100 () (@list @t27)) % 0.38/0.58 (define @t101 () (@list @t28)) % 0.38/0.58 (define @t102 () (tptp.f @t94)) % 0.38/0.58 (define @t103 () (tptp.f @t102)) % 0.38/0.58 (define @t104 () (tptp.f @t103)) % 0.38/0.58 (define @t105 () (tptp.p (tptp.f @t104))) % 0.38/0.58 (define @t106 () (or @t77 @t105)) % 0.38/0.58 (define @t107 () (not @t105)) % 0.38/0.58 (define @t108 () (or @t36 @t107)) % 0.38/0.58 (define @t109 () (tptp.p @t104)) % 0.38/0.58 (define @t110 () (or @t29 @t109)) % 0.38/0.58 (define @t111 () (not @t109)) % 0.38/0.58 (define @t112 () (or @t50 @t111)) % 0.38/0.58 (define @t113 () (tptp.p @t103)) % 0.38/0.58 (define @t114 () (or @t43 @t113)) % 0.38/0.58 (define @t115 () (not @t113)) % 0.38/0.58 (define @t116 () (or @t64 @t115)) % 0.38/0.58 (define @t117 () (tptp.p @t102)) % 0.38/0.58 (define @t118 () (or @t57 @t117)) % 0.38/0.58 (define @t119 () (not @t117)) % 0.38/0.58 (define @t120 () (or @t73 @t119)) % 0.38/0.58 (assume @p1 (forall @t4 (or @t3 (tptp.p @t2)))) % 0.38/0.58 (assume @p2 (forall @t4 (or (not @t3) (not (tptp.p (tptp.f @t2)))))) % 0.38/0.58 (step @p3 :rule instantiate :premises (@p2) :args (@t17)) % 0.38/0.58 (step @p4 :rule instantiate :premises (@p1) :args (@t17)) % 0.38/0.58 (step @p5 :rule instantiate :premises (@p2) :args (@t18)) % 0.38/0.58 (step @p6 :rule instantiate :premises (@p1) :args (@t18)) % 0.38/0.58 (step @p7 :rule instantiate :premises (@p2) :args (@t19)) % 0.38/0.58 (step @p8 :rule instantiate :premises (@p1) :args (@t19)) % 0.38/0.58 (step @p9 :rule instantiate :premises (@p2) :args (@t20)) % 0.38/0.58 (step @p10 :rule instantiate :premises (@p1) :args (@t20)) % 0.38/0.58 (step @p11 :rule instantiate :premises (@p2) :args (@t21)) % 0.38/0.58 (step @p12 :rule instantiate :premises (@p1) :args (@t22)) % 0.38/0.58 (step @p13 :rule cnf_or_pos :args (@t25)) % 0.38/0.58 (step @p14 :rule reordering :premises (@p13) :args ((or @t24 @t23 (not @t25)))) % 0.38/0.58 (step @p15 :rule instantiate :premises (@p1) :args (@t21)) % 0.38/0.58 (step @p16 :rule cnf_or_pos :args (@t30)) % 0.38/0.58 (step @p17 :rule reordering :premises (@p16) :args ((or @t23 @t29 (not @t30)))) % 0.38/0.58 (step @p18 :rule instantiate :premises (@p2) :args (@t22)) % 0.38/0.58 (step @p19 :rule cnf_or_pos :args (@t34)) % 0.38/0.58 (step @p20 :rule reordering :premises (@p19) :args ((or @t33 @t32 (not @t34)))) % 0.38/0.58 (step @p21 :rule instantiate :premises (@p2) :args (@t35)) % 0.38/0.58 (step @p22 :rule cnf_or_pos :args (@t39)) % 0.38/0.58 (step @p23 :rule reordering :premises (@p22) :args ((or @t38 @t36 (not @t39)))) % 0.38/0.58 (step @p24 :rule instantiate :premises (@p1) :args (@t40)) % 0.38/0.58 (step @p25 :rule cnf_or_pos :args (@t42)) % 0.38/0.58 (step @p26 :rule reordering :premises (@p25) :args ((or @t31 @t41 (not @t42)))) % 0.38/0.58 (step @p27 :rule instantiate :premises (@p1) :args (@t35)) % 0.38/0.58 (step @p28 :rule cnf_or_pos :args (@t44)) % 0.38/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t37 @t43 (not @t44)))) % 0.38/0.58 (step @p30 :rule instantiate :premises (@p2) :args (@t40)) % 0.38/0.58 (step @p31 :rule cnf_or_pos :args (@t48)) % 0.38/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t47 @t46 (not @t48)))) % 0.38/0.58 (step @p33 :rule instantiate :premises (@p2) :args (@t49)) % 0.38/0.58 (step @p34 :rule cnf_or_pos :args (@t53)) % 0.38/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t52 @t50 (not @t53)))) % 0.38/0.58 (step @p36 :rule instantiate :premises (@p1) :args (@t54)) % 0.38/0.58 (step @p37 :rule cnf_or_pos :args (@t56)) % 0.38/0.58 (step @p38 :rule reordering :premises (@p37) :args ((or @t55 @t45 (not @t56)))) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p1) :args (@t49)) % 0.38/0.58 (step @p40 :rule cnf_or_pos :args (@t58)) % 0.38/0.58 (step @p41 :rule reordering :premises (@p40) :args ((or @t51 @t57 (not @t58)))) % 0.38/0.58 (step @p42 :rule instantiate :premises (@p2) :args (@t54)) % 0.38/0.58 (step @p43 :rule cnf_or_pos :args (@t62)) % 0.38/0.58 (step @p44 :rule reordering :premises (@p43) :args ((or @t61 @t60 (not @t62)))) % 0.38/0.58 (step @p45 :rule instantiate :premises (@p2) :args (@t63)) % 0.38/0.58 (step @p46 :rule cnf_or_pos :args (@t67)) % 0.38/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t66 @t64 (not @t67)))) % 0.38/0.58 (step @p48 :rule instantiate :premises (@p1) :args (@t68)) % 0.38/0.58 (step @p49 :rule cnf_or_pos :args (@t70)) % 0.38/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t69 @t59 (not @t70)))) % 0.38/0.58 (step @p51 :rule instantiate :premises (@p1) :args (@t63)) % 0.38/0.58 (step @p52 :rule cnf_or_pos :args (@t72)) % 0.38/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t65 @t71 (not @t72)))) % 0.38/0.58 (step @p54 :rule instantiate :premises (@p2) :args (@t68)) % 0.38/0.58 (step @p55 :rule cnf_or_pos :args (@t75)) % 0.38/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t74 @t73 (not @t75)))) % 0.38/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53 @p51 @p50 @p48 @p47 @p45 @p44 @p42 @p41 @p39 @p38 @p36 @p35 @p33 @p32 @p30 @p29 @p27 @p26 @p24 @p23 @p21 @p20 @p18 @p17 @p15 @p14 @p12) :args (@t23 (@list false false false false false true false true false false false false false true false true false false false false false true false true false false false false false) (@list @t75 @t71 @t72 @t69 @t70 @t65 @t67 @t59 @t62 @t57 @t58 @t55 @t56 @t51 @t53 @t45 @t48 @t43 @t44 @t41 @t42 @t37 @t39 @t31 @t34 @t29 @t30 @t24 @t25))) % 0.38/0.58 (step @p58 :rule cnf_or_pos :args (@t80)) % 0.38/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t79 @t78 (not @t80)))) % 0.38/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p11) :args (@t78 @t81 (@list @t23 @t80))) % 0.38/0.58 (step @p61 :rule cnf_or_pos :args (@t82)) % 0.38/0.58 (step @p62 :rule reordering :premises (@p61) :args ((or @t31 @t77 (not @t82)))) % 0.38/0.58 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p10) :args (@t31 @t83 (@list @t77 @t82))) % 0.38/0.58 (step @p64 :rule cnf_or_pos :args (@t87)) % 0.38/0.58 (step @p65 :rule reordering :premises (@p64) :args ((or @t32 @t86 (not @t87)))) % 0.38/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p9) :args (@t86 @t81 (@list @t31 @t87))) % 0.38/0.58 (step @p67 :rule cnf_or_pos :args (@t88)) % 0.38/0.58 (step @p68 :rule reordering :premises (@p67) :args ((or @t45 @t85 (not @t88)))) % 0.38/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p8) :args (@t45 @t83 (@list @t85 @t88))) % 0.38/0.58 (step @p70 :rule cnf_or_pos :args (@t92)) % 0.38/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t46 @t91 (not @t92)))) % 0.38/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p7) :args (@t91 @t81 (@list @t45 @t92))) % 0.38/0.58 (step @p73 :rule cnf_or_pos :args (@t93)) % 0.38/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t59 @t90 (not @t93)))) % 0.38/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p6) :args (@t59 @t83 (@list @t90 @t93))) % 0.38/0.58 (step @p76 :rule cnf_or_pos :args (@t97)) % 0.38/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t60 @t96 (not @t97)))) % 0.38/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p5) :args (@t96 @t81 (@list @t59 @t97))) % 0.38/0.58 (step @p79 :rule cnf_or_pos :args (@t98)) % 0.38/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t71 @t95 (not @t98)))) % 0.38/0.58 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p4) :args (@t71 @t83 (@list @t95 @t98))) % 0.38/0.58 (step @p82 :rule instantiate :premises (@p1) :args (@t99)) % 0.38/0.58 (step @p83 :rule instantiate :premises (@p2) :args (@t99)) % 0.38/0.58 (step @p84 :rule instantiate :premises (@p1) :args (@t100)) % 0.38/0.58 (step @p85 :rule instantiate :premises (@p2) :args (@t100)) % 0.38/0.58 (step @p86 :rule instantiate :premises (@p1) :args (@t101)) % 0.38/0.58 (step @p87 :rule instantiate :premises (@p2) :args (@t101)) % 0.38/0.58 (step @p88 :rule instantiate :premises (@p1) :args ((@list @t76))) % 0.38/0.58 (step @p89 :rule cnf_or_pos :args (@t106)) % 0.38/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t77 @t105 (not @t106)))) % 0.38/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p60 @p88) :args (@t105 @t83 (@list @t77 @t106))) % 0.38/0.58 (step @p92 :rule cnf_or_pos :args (@t108)) % 0.38/0.58 (step @p93 :rule reordering :premises (@p92) :args ((or @t36 @t107 (not @t108)))) % 0.38/0.58 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p87) :args (@t36 @t81 (@list @t105 @t108))) % 0.38/0.58 (step @p95 :rule cnf_or_pos :args (@t110)) % 0.38/0.58 (step @p96 :rule reordering :premises (@p95) :args ((or @t29 @t109 (not @t110)))) % 0.38/0.58 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p86) :args (@t109 @t83 (@list @t29 @t110))) % 0.38/0.58 (step @p98 :rule cnf_or_pos :args (@t112)) % 0.38/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t50 @t111 (not @t112)))) % 0.38/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p85) :args (@t50 @t81 (@list @t109 @t112))) % 0.38/0.58 (step @p101 :rule cnf_or_pos :args (@t114)) % 0.38/0.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t43 @t113 (not @t114)))) % 0.38/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p84) :args (@t113 @t83 (@list @t43 @t114))) % 0.38/0.58 (step @p104 :rule cnf_or_pos :args (@t116)) % 0.38/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t64 @t115 (not @t116)))) % 0.38/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p83) :args (@t64 @t81 (@list @t113 @t116))) % 0.38/0.58 (step @p107 :rule cnf_or_pos :args (@t118)) % 0.38/0.58 (step @p108 :rule reordering :premises (@p107) :args ((or @t57 @t117 (not @t118)))) % 0.38/0.58 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p82) :args (@t117 @t83 (@list @t57 @t118))) % 0.38/0.58 (step @p110 :rule cnf_or_pos :args (@t120)) % 0.38/0.58 (step @p111 :rule reordering :premises (@p110) :args ((or @t73 @t119 (not @t120)))) % 0.38/0.58 (step @p112 false :rule chain_m_resolution :premises (@p111 @p109 @p81 @p3) :args (false (@list false false false) (@list @t117 @t71 @t120))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------