%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO077-4 : 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 : n025.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 08:16:17 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.57s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO077-4 : 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 : n025.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 : Mon Jun 1 23:15:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.57 % SZS status Unsatisfiable % 0.35/0.57 % SZS output start Proof % 0.35/0.58 ( % 0.35/0.58 (declare-sort $$unsorted 0) % 0.35/0.58 (declare-const tptp.point3 $$unsorted) % 0.35/0.58 (declare-const tptp.point1 $$unsorted) % 0.35/0.58 (declare-const tptp.point2 $$unsorted) % 0.35/0.58 (declare-const tptp.line_through_3_points (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.common_point_on_planes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.line_from_to (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.point_1_on_line (-> $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.on (-> $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.point_2_on_line (-> $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.line (-> $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.plane (-> $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.point (-> $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.point_not_on_line (-> $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.at_least_one_line $$unsorted) % 0.35/0.58 (declare-const tptp.collinear (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.58 (declare-const tptp.point_on_plane (-> $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.a_line $$unsorted) % 0.35/0.58 (declare-const tptp.point_not_on_plane (-> $$unsorted $$unsorted)) % 0.35/0.58 (declare-const tptp.plane_for_points (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.58 (define @t1 () (@var "Z2" $$unsorted)) % 0.35/0.58 (define @t2 () (not (tptp.point @t1))) % 0.35/0.58 (define @t3 () (@var "Z1" $$unsorted)) % 0.35/0.58 (define @t4 () (not (tptp.point @t3))) % 0.35/0.58 (define @t5 () (= @t3 @t1)) % 0.35/0.58 (define @t6 () (tptp.line_from_to @t3 @t1)) % 0.35/0.58 (define @t7 () (@list @t3 @t1)) % 0.35/0.58 (define @t8 () (@var "Y4" $$unsorted)) % 0.35/0.58 (define @t9 () (@var "Y3" $$unsorted)) % 0.35/0.58 (define @t10 () (forall (@list @t3 @t9 @t1 @t8) (or (not (tptp.on @t3 @t9)) @t5 (not (tptp.on @t1 @t9)) (= @t9 @t8) (not (tptp.on @t3 @t8)) (not (tptp.on @t1 @t8)) @t4 @t2 (not (tptp.line @t9)) (not (tptp.line @t8))))) % 0.35/0.58 (define @t11 () (@var "Y1" $$unsorted)) % 0.35/0.58 (define @t12 () (not (tptp.line @t11))) % 0.35/0.58 (define @t13 () (tptp.point_1_on_line @t11)) % 0.35/0.58 (define @t14 () (@list @t11)) % 0.35/0.58 (define @t15 () (tptp.point_2_on_line @t11)) % 0.35/0.58 (define @t16 () (tptp.point_not_on_line @t11)) % 0.35/0.58 (define @t17 () (tptp.point_on_plane @t3)) % 0.35/0.58 (define @t18 () (not (tptp.plane @t3))) % 0.35/0.58 (define @t19 () (@list @t3)) % 0.35/0.58 (define @t20 () (tptp.point_not_on_plane @t3)) % 0.35/0.58 (define @t21 () (@var "X3" $$unsorted)) % 0.35/0.58 (define @t22 () (@var "X2" $$unsorted)) % 0.35/0.58 (define @t23 () (= @t22 @t21)) % 0.35/0.58 (define @t24 () (@var "X1" $$unsorted)) % 0.35/0.58 (define @t25 () (= @t24 @t21)) % 0.35/0.58 (define @t26 () (= @t24 @t22)) % 0.35/0.58 (define @t27 () (tptp.collinear @t24 @t22 @t21)) % 0.35/0.58 (define @t28 () (not (tptp.point @t21))) % 0.35/0.58 (define @t29 () (not (tptp.point @t22))) % 0.35/0.58 (define @t30 () (not (tptp.point @t24))) % 0.35/0.58 (define @t31 () (tptp.plane_for_points @t24 @t22 @t21)) % 0.35/0.58 (define @t32 () (@list @t24 @t22 @t21)) % 0.35/0.58 (define @t33 () (not (tptp.plane @t1))) % 0.35/0.58 (define @t34 () (not (tptp.on @t24 @t1))) % 0.35/0.58 (define @t35 () (not (tptp.on @t22 @t3))) % 0.35/0.58 (define @t36 () (not (tptp.on @t24 @t3))) % 0.35/0.58 (define @t37 () (tptp.common_point_on_planes @t3 @t1 @t24)) % 0.35/0.58 (define @t38 () (@list @t3 @t1 @t24)) % 0.35/0.58 (define @t39 () (not @t27)) % 0.35/0.58 (define @t40 () (tptp.line_through_3_points @t24 @t22 @t21)) % 0.35/0.58 (define @t41 () (@var "Y" $$unsorted)) % 0.35/0.58 (define @t42 () (tptp.point tptp.point1)) % 0.35/0.58 (define @t43 () (tptp.point tptp.point2)) % 0.35/0.58 (define @t44 () (tptp.point tptp.point3)) % 0.35/0.58 (define @t45 () (tptp.line tptp.a_line)) % 0.35/0.58 (define @t46 () (tptp.on tptp.point1 tptp.a_line)) % 0.35/0.58 (define @t47 () (tptp.on tptp.point2 tptp.a_line)) % 0.35/0.58 (define @t48 () (= tptp.point1 tptp.point2)) % 0.35/0.58 (define @t49 () (= tptp.point1 tptp.point3)) % 0.35/0.58 (define @t50 () (= tptp.point2 tptp.point3)) % 0.35/0.58 (define @t51 () (tptp.collinear tptp.point1 tptp.point2 tptp.point3)) % 0.35/0.58 (define @t52 () (tptp.line_through_3_points tptp.point1 tptp.point2 tptp.point3)) % 0.35/0.58 (define @t53 () (tptp.line @t52)) % 0.35/0.58 (define @t54 () (not @t53)) % 0.35/0.58 (define @t55 () (not @t45)) % 0.35/0.58 (define @t56 () (not @t42)) % 0.35/0.58 (define @t57 () (not @t43)) % 0.35/0.58 (define @t58 () (tptp.on tptp.point1 @t52)) % 0.35/0.58 (define @t59 () (not @t58)) % 0.35/0.58 (define @t60 () (tptp.on tptp.point2 @t52)) % 0.35/0.58 (define @t61 () (not @t60)) % 0.35/0.58 (define @t62 () (= tptp.a_line @t52)) % 0.35/0.58 (define @t63 () (not @t46)) % 0.35/0.58 (define @t64 () (not @t47)) % 0.35/0.58 (define @t65 () (or @t64 (= tptp.point2 tptp.point1) @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54)) % 0.35/0.58 (define @t66 () (or @t64 @t48 @t63 @t62 @t61 @t59 @t57 @t56 @t55 @t54)) % 0.35/0.58 (define @t67 () (@list tptp.point1 tptp.point2 tptp.point3)) % 0.35/0.58 (define @t68 () (not @t51)) % 0.35/0.58 (define @t69 () (not @t44)) % 0.35/0.58 (define @t70 () (or @t56 @t57 @t69 @t48 @t49 @t50 @t53 @t68)) % 0.35/0.58 (define @t71 () (@list true true true false false false false false)) % 0.35/0.58 (define @t72 () (or @t56 @t57 @t69 @t48 @t49 @t50 @t60 @t68)) % 0.35/0.58 (define @t73 () (or @t56 @t57 @t69 @t48 @t49 @t50 @t58 @t68)) % 0.35/0.58 (define @t74 () (tptp.on tptp.point3 @t52)) % 0.35/0.58 (define @t75 () (or @t56 @t57 @t69 @t48 @t49 @t50 @t74 @t68)) % 0.35/0.58 (assume @p1 (forall @t7 (or (tptp.on @t3 @t6) @t5 @t4 @t2))) % 0.35/0.58 (assume @p2 (forall (@list @t1 @t3) (or (tptp.on @t1 @t6) @t5 @t4 @t2))) % 0.35/0.58 (assume @p3 (forall @t7 (or (tptp.line @t6) @t5 @t4 @t2))) % 0.35/0.58 (assume @p4 @t10) % 0.35/0.58 (assume @p5 (forall @t14 (or (tptp.on @t13 @t11) @t12))) % 0.35/0.58 (assume @p6 (forall @t14 (or (tptp.on @t15 @t11) @t12))) % 0.35/0.58 (assume @p7 (forall @t14 (or (tptp.point @t13) @t12))) % 0.35/0.58 (assume @p8 (forall @t14 (or (tptp.point @t15) @t12))) % 0.35/0.58 (assume @p9 (forall @t14 (or (not (= @t13 @t15)) @t12))) % 0.35/0.58 (assume @p10 (forall @t14 (or (not (tptp.on @t16 @t11)) @t12))) % 0.35/0.58 (assume @p11 (forall @t14 (or (tptp.point @t16) @t12))) % 0.35/0.58 (assume @p12 (tptp.line tptp.at_least_one_line)) % 0.35/0.58 (assume @p13 (forall @t19 (or @t18 (tptp.on @t17 @t3)))) % 0.35/0.58 (assume @p14 (forall @t19 (or @t18 (tptp.point @t17)))) % 0.35/0.58 (assume @p15 (forall @t19 (or @t18 (not (tptp.on @t20 @t3))))) % 0.35/0.58 (assume @p16 (forall @t19 (or @t18 (tptp.point @t20)))) % 0.35/0.58 (assume @p17 (forall @t32 (or (tptp.on @t24 @t31) @t30 @t29 @t28 @t27 @t26 @t25 @t23))) % 0.35/0.58 (assume @p18 (forall (@list @t22 @t24 @t21) (or (tptp.on @t22 @t31) @t30 @t29 @t28 @t27 @t26 @t25 @t23))) % 0.35/0.58 (assume @p19 (forall (@list @t21 @t24 @t22) (or (tptp.on @t21 @t31) @t30 @t29 @t28 @t27 @t26 @t25 @t23))) % 0.35/0.58 (assume @p20 (forall @t32 (or (tptp.plane @t31) @t30 @t29 @t28 @t27 @t26 @t25 @t23))) % 0.35/0.58 (assume @p21 (forall (@list @t24 @t22 @t21 @t3 @t1) (or @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t36 @t35 (not (tptp.on @t21 @t3)) @t18 @t34 (not (tptp.on @t22 @t1)) (not (tptp.on @t21 @t1)) @t33 @t5))) % 0.35/0.58 (assume @p22 (forall (@list @t24 @t11 @t22 @t3) (or (not (tptp.on @t24 @t11)) (not (tptp.on @t22 @t11)) @t36 @t35 @t18 @t30 @t29 @t12 @t26 (tptp.on @t11 @t3)))) % 0.35/0.58 (assume @p23 (forall @t38 (or @t18 @t33 @t5 @t36 @t34 @t30 (tptp.on @t37 @t3)))) % 0.35/0.58 (assume @p24 (forall @t38 (or @t18 @t33 @t5 @t36 @t34 @t30 (tptp.on @t37 @t1)))) % 0.35/0.58 (assume @p25 (forall @t38 (or @t18 @t33 @t5 @t36 @t34 @t30 (tptp.point @t37)))) % 0.35/0.58 (assume @p26 (forall @t38 (or @t18 @t33 @t5 @t36 @t34 @t30 (not (= @t24 @t37))))) % 0.35/0.58 (assume @p27 (forall @t32 (or @t30 @t29 @t28 @t26 @t25 @t23 (tptp.on @t24 @t40) @t39))) % 0.35/0.58 (assume @p28 (forall @t32 (or @t30 @t29 @t28 @t26 @t25 @t23 (tptp.on @t22 @t40) @t39))) % 0.35/0.58 (assume @p29 (forall @t32 (or @t30 @t29 @t28 @t26 @t25 @t23 (tptp.on @t21 @t40) @t39))) % 0.35/0.58 (assume @p30 (forall @t32 (or @t30 @t29 @t28 @t26 @t25 @t23 (tptp.line @t40) @t39))) % 0.35/0.58 (assume @p31 (forall (@list @t24 @t22 @t21 @t41) (or @t27 (not (tptp.on @t24 @t41)) (not (tptp.on @t22 @t41)) (not (tptp.on @t21 @t41)) @t30 @t29 @t28 @t26 @t25 @t23 (not (tptp.line @t41))))) % 0.35/0.58 (assume @p32 @t42) % 0.35/0.58 (assume @p33 @t43) % 0.35/0.58 (assume @p34 @t44) % 0.35/0.58 (assume @p35 @t45) % 0.35/0.58 (assume @p36 @t46) % 0.35/0.58 (assume @p37 @t47) % 0.35/0.58 (assume @p38 (not (tptp.on tptp.point3 tptp.a_line))) % 0.35/0.58 (assume @p39 (not @t48)) % 0.35/0.58 (assume @p40 (not @t49)) % 0.35/0.58 (assume @p41 (not @t50)) % 0.35/0.58 (assume @p42 @t51) % 0.35/0.58 (step @p43 :rule evaluate :args ((= true false))) % 0.35/0.58 (step @p44 :rule false_intro :premises (@p38)) % 0.35/0.58 (step @p45 :rule refl :args (@t54)) % 0.35/0.58 (step @p46 :rule refl :args (@t55)) % 0.35/0.58 (step @p47 :rule refl :args (@t56)) % 0.35/0.58 (step @p48 :rule refl :args (@t57)) % 0.35/0.58 (step @p49 :rule refl :args (@t59)) % 0.35/0.58 (step @p50 :rule refl :args (@t61)) % 0.35/0.58 (step @p51 :rule refl :args (@t62)) % 0.35/0.58 (step @p52 :rule refl :args (@t63)) % 0.35/0.58 (step @p53 :rule eq-symm :args (tptp.point2 tptp.point1)) % 0.35/0.58 (step @p54 :rule refl :args (@t64)) % 0.35/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45) :args (@t65)) % 0.35/0.58 (step @p56 :rule refl :args (@t10)) % 0.35/0.58 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t10 @t65))) % 0.35/0.58 (assume-push @p91 @t10) % 0.35/0.58 (step @p59 :rule instantiate :premises (@p4) :args ((@list tptp.point2 tptp.a_line tptp.point1 @t52))) % 0.35/0.58 (step-pop @p92 :rule scope :premises (@p59)) % 0.35/0.58 (step @p60 :rule process_scope :premises (@p92) :args (@t65)) % 0.35/0.58 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.35/0.58 (step @p63 :rule implies_elim :premises (@p62)) % 0.35/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p4) :args (@t66 (@list false) (@list @t10))) % 0.35/0.58 (step @p65 :rule instantiate :premises (@p30) :args (@t67)) % 0.35/0.58 (step @p66 :rule cnf_or_pos :args (@t70)) % 0.35/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t48 @t49 @t50 @t56 @t57 @t69 @t68 @t53 (not @t70)))) % 0.35/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p39 @p40 @p41 @p32 @p33 @p34 @p42 @p65) :args (@t53 @t71 (@list @t48 @t49 @t50 @t42 @t43 @t44 @t51 @t70))) % 0.35/0.58 (step @p69 :rule instantiate :premises (@p28) :args (@t67)) % 0.35/0.58 (step @p70 :rule cnf_or_pos :args (@t72)) % 0.35/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t48 @t49 @t50 @t56 @t57 @t69 @t68 @t60 (not @t72)))) % 0.35/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p39 @p40 @p41 @p32 @p33 @p34 @p42 @p69) :args (@t60 @t71 (@list @t48 @t49 @t50 @t42 @t43 @t44 @t51 @t72))) % 0.35/0.58 (step @p73 :rule instantiate :premises (@p27) :args (@t67)) % 0.35/0.58 (step @p74 :rule cnf_or_pos :args (@t73)) % 0.35/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t48 @t49 @t50 @t56 @t57 @t69 @t68 @t58 (not @t73)))) % 0.35/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p39 @p40 @p41 @p32 @p33 @p34 @p42 @p73) :args (@t58 @t71 (@list @t48 @t49 @t50 @t42 @t43 @t44 @t51 @t73))) % 0.35/0.58 (step @p77 :rule cnf_or_pos :args (@t66)) % 0.35/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t48 @t56 @t57 @t55 @t63 @t64 @t59 @t61 @t54 @t62 (not @t66)))) % 0.35/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p39 @p32 @p33 @p35 @p36 @p37 @p76 @p72 @p68 @p64) :args (@t62 (@list true false false false false false false false false false) (@list @t48 @t42 @t43 @t45 @t46 @t47 @t58 @t60 @t53 @t66))) % 0.35/0.58 (step @p80 :rule symm :premises (@p79)) % 0.35/0.58 (step @p81 :rule refl :args (tptp.point3)) % 0.35/0.58 (step @p82 :rule cong :premises (@p81 @p80) :args (@t74)) % 0.35/0.58 (step @p83 :rule instantiate :premises (@p29) :args (@t67)) % 0.35/0.58 (step @p84 :rule cnf_or_pos :args (@t75)) % 0.35/0.58 (step @p85 :rule reordering :premises (@p84) :args ((or @t48 @t49 @t50 @t56 @t57 @t69 @t68 @t74 (not @t75)))) % 0.35/0.58 (step @p86 :rule chain_m_resolution :premises (@p85 @p39 @p40 @p41 @p32 @p33 @p34 @p42 @p83) :args (@t74 @t71 (@list @t48 @t49 @t50 @t42 @t43 @t44 @t51 @t75))) % 0.35/0.58 (step @p87 :rule true_intro :premises (@p86)) % 0.35/0.58 (step @p88 :rule symm :premises (@p87)) % 0.35/0.58 (step @p89 :rule trans :premises (@p88 @p82 @p44)) % 0.35/0.58 (step @p90 false :rule eq_resolve :premises (@p89 @p43)) % 0.35/0.58 ) % 0.35/0.58 % SZS output end Proof % 0.35/0.58 % cvc5 exiting %------------------------------------------------------------------------------