%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV985-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:01:11 AM UTC 2026
% Result : Unsatisfiable 3.27s 21.15s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 4 ~; 2 |; 0 &; 44 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-5 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_TypeSafe__Mirabelle_Osconf_decl,type,
c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).
thf(v_P_decl,type,
v_P: $i ).
thf(v_E_decl,type,
v_E: $i ).
thf(v_s_H_decl,type,
v_s_H: $i ).
thf(c_COMBI_decl,type,
c_COMBI: $i > $i > $i ).
thf(c_WellTypeRT_OWTrt_decl,type,
c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).
thf(c_State_Ohp_decl,type,
c_State_Ohp: $i > $i ).
thf(v_e_H_decl,type,
v_e_H: $i ).
thf(v_T_____decl,type,
v_T____: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(c_fequal_decl,type,
c_fequal: $i > $i > $i > $o ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_COMBI ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
thf(10,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_COMBI ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
( ( t_a @ ( v_P @ c_COMBI ) )
= v_P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(14,plain,
( ( t_a @ ( v_P @ c_COMBI ) )
= v_P ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
v_T____ @ ( v_e_H @ ( v_E @ ( v_s_H @ c_State_Ohp @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl_I1_J_0) ).
thf(13,plain,
v_T____ @ ( v_e_H @ ( v_E @ ( v_s_H @ c_State_Ohp @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_fequal ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( B @ ( A @ c_fequal ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
v_s_H @ ( v_E @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refl_I2_J_0) ).
thf(12,plain,
v_s_H @ ( v_E @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ c_fequal ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(16,plain,
! [B: $i,A: $i] : ( B @ ( A @ ( A @ c_fequal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1,negated_conjecture,
~ ( v_s_H @ ( v_E @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(8,plain,
~ ( v_s_H @ ( v_E @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[10,14,13,17,12,16,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV985-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/19.34 % Computer : n013.cluster.edu
% 0.14/19.34 % Model : x86_64 x86_64
% 0.14/19.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/19.34 % Memory : 8046.5625MB
% 0.14/19.34 % OS : Linux 6.8.0-71-generic
% 0.14/19.34 % CPULimit : 300
% 0.14/19.34 % WCLimit : 300
% 0.14/19.34 % DateTime : Sat Sep 26 15:18:42 UTC 2026
% 0.14/19.35 % CPUTime :
% 0.14/19.35 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.18/19.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/20.11 % [INFO] Parsing done (180ms).
% 1.22/20.12 % [INFO] Running in sequential loop mode.
% 1.92/20.52 % [INFO] eprover registered as external prover.
% 1.92/20.53 % [INFO] Scanning for conjecture ...
% 2.12/20.62 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.12/20.65 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.12/20.66 % [INFO] Problem is propositional (TPTP CNF).
% 2.12/20.67 % [INFO] Type checking passed.
% 2.12/20.68 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.27/21.15 % External prover 'e' found a proof!
% 3.27/21.15 % [INFO] Killing All external provers ...
% 3.27/21.15 % Time passed: 1671ms (effective reasoning time: 1023ms)
% 3.27/21.15 % Axioms used in derivation (6): cls_refl_I2_J_0, cls_COMBI__def__raw_0, cls_refl_I1_J_0, cls_ATP__Linkup_Ofequal__imp__equal_0, cls_ATP__Linkup_Oequal__imp__fequal_0, cls_COMBI__def_0
% 3.27/21.15 % No. of inferences in proof: 15
% 3.27/21.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1671 ms resp. 1023 ms w/o parsing
% 3.27/21.19 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.27/21.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------