%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO002-4 : TPTP v9.2.1. Released v1.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:16:03 AM UTC 2026 % Result : Unsatisfiable 27.79s 28.04s % Output : Proof 27.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO002-4 : TPTP v9.2.1. Released v1.1.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.24 % Computer : n012.cluster.edu % 0.08/0.24 % Model : x86_64 x86_64 % 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.24 % Memory : 8042.1875MB % 0.08/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.24 % CPULimit : 300 % 0.08/0.24 % WCLimit : 300 % 0.08/0.24 % DateTime : Mon Jun 1 23:04:33 EDT 2026 % 0.08/0.24 % CPUTime : % 0.08/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.19/15.40 --- Run --no-e-matching --full-saturate-quant at 6... % 21.19/21.43 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.17/27.46 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.79/28.04 % SZS status Unsatisfiable % 27.79/28.04 % SZS output start Proof % 27.79/28.05 ( % 27.79/28.05 (declare-sort $$unsorted 0) % 27.79/28.05 (declare-const tptp.a $$unsorted) % 27.79/28.05 (declare-const tptp.extension (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.79/28.05 (declare-const tptp.outer_pasch (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.79/28.05 (declare-const tptp.equidistant (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 27.79/28.05 (declare-const tptp.b $$unsorted) % 27.79/28.05 (declare-const tptp.equalish (-> $$unsorted $$unsorted Bool)) % 27.79/28.05 (declare-const tptp.between (-> $$unsorted $$unsorted $$unsorted Bool)) % 27.79/28.05 (define @t1 () (@var "Z" $$unsorted)) % 27.79/28.05 (define @t2 () (@var "Y" $$unsorted)) % 27.79/28.05 (define @t3 () (@var "X" $$unsorted)) % 27.79/28.05 (define @t4 () (@var "V" $$unsorted)) % 27.79/28.05 (define @t5 () (forall (@list @t3 @t2 @t4 @t1) (or (not (tptp.between @t3 @t2 @t4)) (not (tptp.between @t2 @t1 @t4)) (tptp.between @t3 @t2 @t1)))) % 27.79/28.05 (define @t6 () (tptp.equalish @t3 @t2)) % 27.79/28.05 (define @t7 () (@var "W" $$unsorted)) % 27.79/28.05 (define @t8 () (tptp.outer_pasch @t7 @t3 @t2 @t1 @t4)) % 27.79/28.05 (define @t9 () (not (tptp.between @t2 @t4 @t1))) % 27.79/28.05 (define @t10 () (not (tptp.between @t3 @t7 @t4))) % 27.79/28.05 (define @t11 () (@list @t3 @t7 @t4 @t2 @t1)) % 27.79/28.05 (define @t12 () (tptp.extension @t3 @t2 @t7 @t4)) % 27.79/28.05 (define @t13 () (tptp.between tptp.a tptp.a tptp.b)) % 27.79/28.05 (define @t14 () (@list tptp.b tptp.a tptp.a tptp.b tptp.a)) % 27.79/28.05 (define @t15 () (tptp.extension tptp.b tptp.a tptp.b tptp.b)) % 27.79/28.05 (define @t16 () (@list tptp.a tptp.b tptp.b tptp.b)) % 27.79/28.05 (define @t17 () (tptp.equalish tptp.a @t15)) % 27.79/28.05 (define @t18 () (tptp.equidistant tptp.a @t15 tptp.b tptp.b)) % 27.79/28.05 (define @t19 () (not @t18)) % 27.79/28.05 (define @t20 () (or @t19 @t17)) % 27.79/28.05 (define @t21 () (@list false false)) % 27.79/28.05 (define @t22 () (tptp.extension tptp.a tptp.a tptp.a tptp.a)) % 27.79/28.05 (define @t23 () (tptp.between tptp.a tptp.a tptp.a)) % 27.79/28.05 (define @t24 () (tptp.between tptp.a tptp.a @t22)) % 27.79/28.05 (define @t25 () (not @t24)) % 27.79/28.05 (define @t26 () (or @t25 @t25 @t23)) % 27.79/28.05 (define @t27 () (tptp.between tptp.a tptp.a @t15)) % 27.79/28.05 (define @t28 () (not @t23)) % 27.79/28.05 (define @t29 () (not @t17)) % 27.79/28.05 (define @t30 () (or @t29 @t28 @t27)) % 27.79/28.05 (define @t31 () (@list false false false)) % 27.79/28.05 (define @t32 () (@list tptp.b tptp.a tptp.b tptp.b)) % 27.79/28.05 (define @t33 () (tptp.between tptp.b tptp.a tptp.a)) % 27.79/28.05 (define @t34 () (not @t27)) % 27.79/28.05 (define @t35 () (tptp.between tptp.b tptp.a @t15)) % 27.79/28.05 (define @t36 () (not @t35)) % 27.79/28.05 (define @t37 () (or @t36 @t34 @t33)) % 27.79/28.05 (define @t38 () (tptp.outer_pasch tptp.a tptp.b tptp.b tptp.a tptp.a)) % 27.79/28.05 (define @t39 () (tptp.between tptp.b @t38 tptp.b)) % 27.79/28.05 (define @t40 () (not @t33)) % 27.79/28.05 (define @t41 () (or @t40 @t40 @t39)) % 27.79/28.05 (define @t42 () (tptp.between tptp.a tptp.a @t38)) % 27.79/28.05 (define @t43 () (or @t40 @t40 @t42)) % 27.79/28.05 (define @t44 () (tptp.between tptp.a tptp.b @t38)) % 27.79/28.05 (define @t45 () (not @t44)) % 27.79/28.05 (define @t46 () (not @t42)) % 27.79/28.05 (define @t47 () (or @t46 @t45 @t13)) % 27.79/28.05 (define @t48 () (tptp.extension tptp.a tptp.b tptp.b tptp.b)) % 27.79/28.05 (define @t49 () (tptp.equalish tptp.b @t48)) % 27.79/28.05 (define @t50 () (tptp.equidistant tptp.b @t48 tptp.b tptp.b)) % 27.79/28.05 (define @t51 () (not @t50)) % 27.79/28.05 (define @t52 () (or @t51 @t49)) % 27.79/28.05 (define @t53 () (tptp.extension tptp.b tptp.b tptp.b tptp.b)) % 27.79/28.05 (define @t54 () (tptp.between tptp.b tptp.b tptp.b)) % 27.79/28.05 (define @t55 () (tptp.between tptp.b tptp.b @t53)) % 27.79/28.05 (define @t56 () (not @t55)) % 27.79/28.05 (define @t57 () (or @t56 @t56 @t54)) % 27.79/28.05 (define @t58 () (tptp.between tptp.b tptp.b @t48)) % 27.79/28.05 (define @t59 () (not @t54)) % 27.79/28.05 (define @t60 () (not @t49)) % 27.79/28.05 (define @t61 () (or @t60 @t59 @t58)) % 27.79/28.05 (define @t62 () (tptp.between tptp.a tptp.b tptp.b)) % 27.79/28.05 (define @t63 () (not @t58)) % 27.79/28.05 (define @t64 () (tptp.between tptp.a tptp.b @t48)) % 27.79/28.05 (define @t65 () (not @t64)) % 27.79/28.05 (define @t66 () (or @t65 @t63 @t62)) % 27.79/28.05 (define @t67 () (not @t39)) % 27.79/28.05 (define @t68 () (not @t62)) % 27.79/28.05 (define @t69 () (or @t68 @t67 @t44)) % 27.79/28.05 (define @t70 () (not @t69)) % 27.79/28.05 (assume @p1 @t5) % 27.79/28.05 (assume @p2 (forall (@list @t3 @t2 @t1) (or (not (tptp.equidistant @t3 @t2 @t1 @t1)) @t6))) % 27.79/28.05 (assume @p3 (forall @t11 (or @t10 @t9 (tptp.between @t3 @t8 @t2)))) % 27.79/28.05 (assume @p4 (forall @t11 (or @t10 @t9 (tptp.between @t1 @t7 @t8)))) % 27.79/28.05 (assume @p5 (forall (@list @t3 @t2 @t7 @t4) (tptp.between @t3 @t2 @t12))) % 27.79/28.05 (assume @p6 (forall (@list @t2 @t3 @t7 @t4) (tptp.equidistant @t2 @t12 @t7 @t4))) % 27.79/28.05 (assume @p7 (forall (@list @t3 @t2 @t7 @t1) (or (not @t6) (not (tptp.between @t7 @t1 @t3)) (tptp.between @t7 @t1 @t2)))) % 27.79/28.05 (assume @p8 (not @t13)) % 27.79/28.05 (step @p9 :rule instantiate :premises (@p3) :args (@t14)) % 27.79/28.05 (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.a @t15 tptp.a))) % 27.79/28.05 (step @p11 :rule instantiate :premises (@p7) :args ((@list tptp.a @t15 tptp.a tptp.a))) % 27.79/28.05 (step @p12 :rule instantiate :premises (@p2) :args ((@list tptp.a @t15 tptp.b))) % 27.79/28.05 (step @p13 :rule instantiate :premises (@p6) :args (@t16)) % 27.79/28.05 (step @p14 :rule cnf_or_pos :args (@t20)) % 27.79/28.05 (step @p15 :rule reordering :premises (@p14) :args ((or @t17 @t19 (not @t20)))) % 27.79/28.05 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p12) :args (@t17 @t21 (@list @t18 @t20))) % 27.79/28.05 (step @p17 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a @t22 tptp.a))) % 27.79/28.05 (step @p18 :rule instantiate :premises (@p5) :args ((@list tptp.a tptp.a tptp.a tptp.a))) % 27.79/28.05 (step @p19 :rule cnf_or_pos :args (@t26)) % 27.79/28.05 (step @p20 :rule factoring :premises (@p19)) % 27.79/28.05 (step @p21 :rule reordering :premises (@p20) :args ((or @t25 @t23 (not @t26)))) % 27.79/28.05 (step @p22 :rule chain_m_resolution :premises (@p21 @p18 @p17) :args (@t23 @t21 (@list @t24 @t26))) % 27.79/28.05 (step @p23 :rule cnf_or_pos :args (@t30)) % 27.79/28.05 (step @p24 :rule reordering :premises (@p23) :args ((or @t28 @t27 @t29 (not @t30)))) % 27.79/28.05 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p16 @p11) :args (@t27 @t31 (@list @t23 @t17 @t30))) % 27.79/28.05 (step @p26 :rule instantiate :premises (@p5) :args (@t32)) % 27.79/28.05 (step @p27 :rule cnf_or_pos :args (@t37)) % 27.79/28.05 (step @p28 :rule reordering :premises (@p27) :args ((or @t36 @t33 @t34 (not @t37)))) % 27.79/28.05 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25 @p10) :args (@t33 @t31 (@list @t35 @t27 @t37))) % 27.79/28.05 (step @p30 :rule cnf_or_pos :args (@t41)) % 27.79/28.05 (step @p31 :rule factoring :premises (@p30)) % 27.79/28.05 (step @p32 :rule reordering :premises (@p31) :args ((or @t40 @t39 (not @t41)))) % 27.79/28.05 (step @p33 :rule chain_m_resolution :premises (@p32 @p29 @p9) :args (@t39 @t21 (@list @t33 @t41))) % 27.79/28.05 (step @p34 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a @t38 tptp.b))) % 27.79/28.05 (step @p35 :rule instantiate :premises (@p4) :args (@t14)) % 27.79/28.05 (step @p36 :rule cnf_or_pos :args (@t43)) % 27.79/28.05 (step @p37 :rule factoring :premises (@p36)) % 27.79/28.05 (step @p38 :rule reordering :premises (@p37) :args ((or @t40 @t42 (not @t43)))) % 27.79/28.05 (step @p39 :rule chain_m_resolution :premises (@p38 @p29 @p35) :args (@t42 @t21 (@list @t33 @t43))) % 27.79/28.05 (step @p40 :rule cnf_or_pos :args (@t47)) % 27.79/28.05 (step @p41 :rule reordering :premises (@p40) :args ((or @t13 @t46 @t45 (not @t47)))) % 27.79/28.05 (step @p42 :rule chain_m_resolution :premises (@p41 @p8 @p39 @p34) :args (@t45 (@list true false false) (@list @t13 @t42 @t47))) % 27.79/28.05 (step @p43 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b @t48 tptp.b))) % 27.79/28.05 (step @p44 :rule instantiate :premises (@p7) :args ((@list tptp.b @t48 tptp.b tptp.b))) % 27.79/28.05 (step @p45 :rule instantiate :premises (@p2) :args ((@list tptp.b @t48 tptp.b))) % 27.79/28.05 (step @p46 :rule instantiate :premises (@p6) :args (@t32)) % 27.79/28.05 (step @p47 :rule cnf_or_pos :args (@t52)) % 27.79/28.05 (step @p48 :rule reordering :premises (@p47) :args ((or @t49 @t51 (not @t52)))) % 27.79/28.05 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45) :args (@t49 @t21 (@list @t50 @t52))) % 27.79/28.05 (step @p50 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b @t53 tptp.b))) % 27.79/28.05 (step @p51 :rule instantiate :premises (@p5) :args ((@list tptp.b tptp.b tptp.b tptp.b))) % 27.79/28.05 (step @p52 :rule cnf_or_pos :args (@t57)) % 27.79/28.05 (step @p53 :rule factoring :premises (@p52)) % 27.79/28.05 (step @p54 :rule reordering :premises (@p53) :args ((or @t54 @t56 (not @t57)))) % 27.79/28.05 (step @p55 :rule chain_m_resolution :premises (@p54 @p51 @p50) :args (@t54 @t21 (@list @t55 @t57))) % 27.79/28.05 (step @p56 :rule cnf_or_pos :args (@t61)) % 27.79/28.05 (step @p57 :rule reordering :premises (@p56) :args ((or @t59 @t58 @t60 (not @t61)))) % 27.79/28.05 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p49 @p44) :args (@t58 @t31 (@list @t54 @t49 @t61))) % 27.79/28.05 (step @p59 :rule instantiate :premises (@p5) :args (@t16)) % 27.79/28.05 (step @p60 :rule cnf_or_pos :args (@t66)) % 27.79/28.05 (step @p61 :rule reordering :premises (@p60) :args ((or @t62 @t65 @t63 (not @t66)))) % 27.79/28.05 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p58 @p43) :args (@t62 @t31 (@list @t64 @t58 @t66))) % 27.79/28.05 (step @p63 :rule cnf_or_pos :args (@t69)) % 27.79/28.05 (step @p64 :rule reordering :premises (@p63) :args ((or @t68 @t44 @t67 @t70))) % 27.79/28.05 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p42 @p33) :args (@t70 (@list false true false) (@list @t62 @t44 @t39))) % 27.79/28.05 (assume-push @p72 @t5) % 27.79/28.05 (step @p67 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.b tptp.b @t38))) % 27.79/28.05 (step-pop @p73 :rule scope :premises (@p67)) % 27.79/28.05 (step @p68 :rule process_scope :premises (@p73) :args (@t69)) % 27.79/28.05 (step @p70 :rule implies_elim :premises (@p68)) % 27.79/28.05 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p1) :args (false (@list true false) (@list @t69 @t5))) % 27.79/28.05 ) % 27.79/28.05 % SZS output end Proof % 27.79/28.05 % cvc5 exiting %------------------------------------------------------------------------------