%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO146+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:16:28 AM UTC 2026 % Result : Theorem 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 : GEO146+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 23:32:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.trajectory_of (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.connect (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.once (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.at (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.at_the_same_time (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.open (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "P" $$unsorted)) % 0.39/0.58 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.39/0.58 (define @t4 () (@var "C1" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.39/0.58 (define @t6 () (@list @t2)) % 0.39/0.58 (define @t7 () (tptp.part_of @t4 @t1)) % 0.39/0.58 (define @t8 () (@list @t1 @t4)) % 0.39/0.58 (define @t9 () (@var "C2" $$unsorted)) % 0.39/0.58 (define @t10 () (@var "Q" $$unsorted)) % 0.39/0.58 (define @t11 () (tptp.incident_c @t10 @t4)) % 0.39/0.58 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.39/0.58 (define @t13 () (@list @t10)) % 0.39/0.58 (define @t14 () (= @t1 (tptp.sum @t4 @t9))) % 0.39/0.58 (define @t15 () (tptp.part_of @t9 @t4)) % 0.39/0.58 (define @t16 () (tptp.part_of @t4 @t9)) % 0.39/0.58 (define @t17 () (tptp.part_of @t9 @t1)) % 0.39/0.58 (define @t18 () (@list @t4 @t9)) % 0.39/0.58 (define @t19 () (tptp.end_point @t2 @t1)) % 0.39/0.58 (define @t20 () (@list @t2 @t1)) % 0.39/0.58 (define @t21 () (tptp.inner_point @t2 @t1)) % 0.39/0.58 (define @t22 () (tptp.end_point @t10 @t4)) % 0.39/0.58 (define @t23 () (tptp.end_point @t10 @t1)) % 0.39/0.58 (define @t24 () (exists @t6 @t19)) % 0.39/0.58 (define @t25 () (tptp.closed @t1)) % 0.39/0.58 (define @t26 () (@list @t1)) % 0.39/0.58 (define @t27 () (tptp.open @t1)) % 0.39/0.58 (define @t28 () (@var "C3" $$unsorted)) % 0.39/0.58 (define @t29 () (tptp.meet @t2 @t4 @t9)) % 0.39/0.58 (define @t30 () (@list @t1 @t2)) % 0.39/0.58 (define @t31 () (@var "R" $$unsorted)) % 0.39/0.58 (define @t32 () (= @t2 @t31)) % 0.39/0.58 (define @t33 () (= @t2 @t10)) % 0.39/0.58 (define @t34 () (@list @t1 @t2 @t10 @t31)) % 0.39/0.58 (define @t35 () (not @t33)) % 0.39/0.58 (define @t36 () (@var "Cpp" $$unsorted)) % 0.39/0.58 (define @t37 () (tptp.between_c @t1 @t2 @t10 @t31)) % 0.39/0.58 (define @t38 () (@var "O" $$unsorted)) % 0.39/0.58 (define @t39 () (tptp.ordered_by @t38 @t10 @t2)) % 0.39/0.58 (define @t40 () (tptp.ordered_by @t38 @t2 @t10)) % 0.39/0.58 (define @t41 () (tptp.between_o @t38 @t2 @t10 @t31)) % 0.39/0.58 (define @t42 () (tptp.incident_o @t10 @t38)) % 0.39/0.58 (define @t43 () (and @t35 @t42)) % 0.39/0.58 (define @t44 () (tptp.incident_o @t2 @t38)) % 0.39/0.58 (define @t45 () (tptp.start_point @t2 @t38)) % 0.39/0.58 (define @t46 () (@list @t2 @t38)) % 0.39/0.58 (define @t47 () (forall @t6 (= @t44 @t3))) % 0.39/0.58 (define @t48 () (@list @t38)) % 0.39/0.58 (define @t49 () (@var "O2" $$unsorted)) % 0.39/0.58 (define @t50 () (@var "O1" $$unsorted)) % 0.39/0.58 (define @t51 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t52 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t53 () (tptp.at @t52 @t2)) % 0.39/0.58 (define @t54 () (tptp.connect @t52 @t51 @t2)) % 0.39/0.58 (define @t55 () (@list @t52 @t51 @t2)) % 0.39/0.58 (define @t56 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t57 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t58 () (tptp.at_the_same_time @t56 @t57)) % 0.39/0.58 (define @t59 () (tptp.once @t58)) % 0.39/0.58 (define @t60 () (@list @t56 @t57)) % 0.39/0.58 (define @t61 () (tptp.once @t56)) % 0.39/0.58 (define @t62 () (@list @t56)) % 0.39/0.58 (define @t63 () (tptp.trajectory_of @t52)) % 0.39/0.58 (define @t64 () (@list @t52)) % 0.39/0.58 (define @t65 () (@var "P2" $$unsorted)) % 0.39/0.58 (define @t66 () (@var "Q2" $$unsorted)) % 0.39/0.58 (define @t67 () (@var "Q1" $$unsorted)) % 0.39/0.58 (define @t68 () (@var "P1" $$unsorted)) % 0.39/0.58 (define @t69 () (forall @t55 (= @t54 (tptp.connect @t51 @t52 @t2)))) % 0.39/0.58 (define @t70 () (@quantifiers_skolemize @t69 2)) % 0.39/0.58 (define @t71 () (@quantifiers_skolemize @t69 1)) % 0.39/0.58 (define @t72 () (tptp.at @t71 @t70)) % 0.39/0.58 (define @t73 () (@quantifiers_skolemize @t69 0)) % 0.39/0.58 (define @t74 () (tptp.at @t73 @t70)) % 0.39/0.58 (define @t75 () (tptp.connect @t71 @t73 @t70)) % 0.39/0.58 (define @t76 () (tptp.connect @t73 @t71 @t70)) % 0.39/0.58 (define @t77 () (= @t76 @t75)) % 0.39/0.58 (define @t78 () (tptp.once (tptp.at_the_same_time @t74 @t72))) % 0.39/0.58 (define @t79 () (= @t76 @t78)) % 0.39/0.58 (define @t80 () (not @t79)) % 0.39/0.58 (define @t81 () (not @t78)) % 0.39/0.58 (define @t82 () (tptp.once (tptp.at_the_same_time @t72 @t74))) % 0.39/0.58 (define @t83 () (= @t75 @t82)) % 0.39/0.58 (define @t84 () (not @t83)) % 0.39/0.58 (define @t85 () (not @t75)) % 0.39/0.58 (define @t86 () (= @t78 @t82)) % 0.39/0.58 (define @t87 () (not @t86)) % 0.39/0.58 (define @t88 () (not @t82)) % 0.39/0.58 (define @t89 () (@list true false)) % 0.39/0.58 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.39/0.58 (assume @p2 (forall (@list @t1 @t4 @t9) (= @t14 (forall @t13 (= @t12 (or @t11 (tptp.incident_c @t10 @t9))))))) % 0.39/0.58 (assume @p3 (forall @t20 (= @t19 (and @t3 (forall @t18 (=> (and @t7 @t17 @t5 (tptp.incident_c @t2 @t9)) (or @t16 @t15))))))) % 0.39/0.58 (assume @p4 (forall @t20 (= @t21 (and @t3 (not @t19))))) % 0.39/0.58 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t13 (=> (and @t12 @t11) (and @t23 @t22))))))) % 0.39/0.58 (assume @p6 (forall @t26 (= @t25 (not @t24)))) % 0.39/0.58 (assume @p7 (forall @t26 (= @t27 @t24))) % 0.39/0.58 (assume @p8 (forall @t8 (=> (and @t7 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.39/0.58 (assume @p9 (forall (@list @t1 @t4 @t9 @t28) (=> (and @t7 @t17 (tptp.part_of @t28 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t9) (tptp.end_point @t2 @t28)))) (or (tptp.part_of @t9 @t28) (tptp.part_of @t28 @t9) @t16 @t15 (tptp.part_of @t4 @t28) (tptp.part_of @t28 @t4))))) % 0.39/0.58 (assume @p10 (forall @t26 (exists @t6 @t21))) % 0.39/0.58 (assume @p11 (forall @t30 (=> @t21 (exists @t18 (and @t29 @t14))))) % 0.39/0.58 (assume @p12 (forall @t34 (=> (and @t19 @t23 (tptp.end_point @t31 @t1)) (or @t33 @t32 (= @t10 @t31))))) % 0.39/0.58 (assume @p13 (forall @t30 (=> @t19 (exists @t13 (and @t23 @t35))))) % 0.39/0.58 (assume @p14 (forall (@list @t1 @t4 @t9 @t2) (=> (and @t25 @t29 @t14) (forall @t13 (=> @t22 (tptp.meet @t10 @t4 @t9)))))) % 0.39/0.58 (assume @p15 (forall @t18 (=> (exists @t6 @t29) (exists @t26 @t14)))) % 0.39/0.58 (assume @p16 (forall @t8 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.39/0.58 (assume @p17 (forall @t34 (= @t37 (and (not @t32) (exists (@list @t36) (and (tptp.part_of @t36 @t1) (tptp.end_point @t2 @t36) (tptp.end_point @t31 @t36) (tptp.inner_point @t10 @t36))))))) % 0.39/0.58 (assume @p18 (forall (@list @t38 @t2 @t10 @t31) (= @t41 (or (and @t40 (tptp.ordered_by @t38 @t10 @t31)) (and (tptp.ordered_by @t38 @t31 @t10) @t39))))) % 0.39/0.58 (assume @p19 (forall @t46 (= @t45 (and @t44 (forall @t13 (=> @t43 @t40)))))) % 0.39/0.58 (assume @p20 (forall @t46 (= (tptp.finish_point @t2 @t38) (and @t44 (forall @t13 (=> @t43 @t39)))))) % 0.39/0.58 (assume @p21 (forall (@list @t38 @t2 @t10) (=> @t40 (and @t44 @t42)))) % 0.39/0.58 (assume @p22 (forall @t48 (exists @t26 (and @t27 @t47)))) % 0.39/0.58 (assume @p23 (forall (@list @t2 @t10 @t31 @t38) (= @t41 (exists @t26 (and @t47 @t37))))) % 0.39/0.58 (assume @p24 (forall @t48 (exists @t6 @t45))) % 0.39/0.58 (assume @p25 (forall (@list @t2 @t10 @t1) (=> (and @t27 @t35 @t3 @t12) (exists @t48 (and (forall (@list @t31) (= (tptp.incident_o @t31 @t38) (tptp.incident_c @t31 @t1))) @t40))))) % 0.39/0.58 (assume @p26 (forall (@list @t50 @t49) (=> (forall (@list @t2 @t10) (= (tptp.ordered_by @t50 @t2 @t10) (tptp.ordered_by @t49 @t2 @t10))) (= @t50 @t49)))) % 0.39/0.58 (assume @p27 (forall (@list @t1 @t38) (= (= @t1 (tptp.underlying_curve @t38)) @t47))) % 0.39/0.58 (assume @p28 (forall @t55 (= @t54 (tptp.once (tptp.at_the_same_time @t53 (tptp.at @t51 @t2)))))) % 0.39/0.58 (assume @p29 (forall @t60 (= @t59 (tptp.once (tptp.at_the_same_time @t57 @t56))))) % 0.39/0.58 (assume @p30 (forall (@list @t56 @t57 @t1) (= (tptp.once (tptp.at_the_same_time @t58 @t1)) (tptp.once (tptp.at_the_same_time @t56 (tptp.at_the_same_time @t57 @t1)))))) % 0.39/0.58 (assume @p31 (forall @t62 (=> @t61 (tptp.once (tptp.at_the_same_time @t56 @t56))))) % 0.39/0.58 (assume @p32 (forall @t60 (=> @t59 (and @t61 (tptp.once @t57))))) % 0.39/0.58 (assume @p33 (forall (@list @t52 @t2) (= (tptp.once @t53) (tptp.incident_o @t2 @t63)))) % 0.39/0.59 (assume @p34 (forall @t64 (exists @t48 (= @t63 @t38)))) % 0.39/0.59 (assume @p35 (forall (@list @t68 @t65 @t67 @t66 @t52 @t51) (=> (and (tptp.once (tptp.at_the_same_time (tptp.at @t52 @t68) (tptp.at @t51 @t65))) (tptp.once (tptp.at_the_same_time (tptp.at @t52 @t67) (tptp.at @t51 @t66)))) (not (and (tptp.ordered_by @t63 @t68 @t67) (tptp.ordered_by (tptp.trajectory_of @t51) @t66 @t65)))))) % 0.39/0.59 (assume @p36 (forall @t62 (=> @t61 (forall @t64 (exists @t6 (tptp.once (tptp.at_the_same_time @t56 @t53))))))) % 0.39/0.59 (assume @p37 (not @t69)) % 0.39/0.59 (assume @p38 true) % 0.39/0.59 (step @p39 :rule instantiate :premises (@p29) :args ((@list @t74 @t72))) % 0.39/0.59 (step @p40 :rule instantiate :premises (@p28) :args ((@list @t73 @t71 @t70))) % 0.39/0.59 (step @p41 :rule skolemize :premises (@p37)) % 0.39/0.59 (step @p42 :rule cnf_equiv_neg1 :args (@t77)) % 0.39/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t76 @t75 @t77))) % 0.39/0.59 (step @p44 :rule cnf_equiv_pos2 :args (@t79)) % 0.39/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t76 @t81 @t80))) % 0.39/0.59 (step @p46 :rule instantiate :premises (@p28) :args ((@list @t71 @t73 @t70))) % 0.39/0.59 (step @p47 :rule cnf_equiv_pos1 :args (@t83)) % 0.39/0.59 (step @p48 :rule reordering :premises (@p47) :args ((or @t85 @t82 @t84))) % 0.39/0.59 (step @p49 :rule cnf_equiv_pos2 :args (@t86)) % 0.39/0.59 (step @p50 :rule reordering :premises (@p49) :args ((or @t78 @t88 @t87))) % 0.39/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p39 @p48 @p46 @p45 @p40 @p43 @p41) :args (@t76 (@list false false false true false false true) (@list @t86 @t82 @t83 @t78 @t79 @t75 @t77))) % 0.39/0.59 (step @p52 :rule cnf_equiv_pos1 :args (@t79)) % 0.39/0.59 (step @p53 :rule reordering :premises (@p52) :args ((or (not @t76) @t78 @t80))) % 0.39/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p40) :args (@t78 (@list false false) (@list @t76 @t79))) % 0.39/0.59 (step @p55 :rule cnf_equiv_neg2 :args (@t77)) % 0.39/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p41 @p51) :args (@t85 @t89 (@list @t77 @t76))) % 0.39/0.59 (step @p57 :rule cnf_equiv_pos2 :args (@t83)) % 0.39/0.59 (step @p58 :rule reordering :premises (@p57) :args ((or @t75 @t88 @t84))) % 0.39/0.59 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p46) :args (@t88 @t89 (@list @t75 @t83))) % 0.39/0.59 (step @p60 :rule cnf_equiv_pos1 :args (@t86)) % 0.39/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t82 @t81 @t87))) % 0.39/0.59 (step @p62 false :rule chain_m_resolution :premises (@p61 @p59 @p54 @p39) :args (false (@list true false false) (@list @t82 @t78 @t86))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------