%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV818-1 : 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 : n014.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 09:00:41 AM UTC 2026
% Result : Unsatisfiable 3.02s 7.19s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 2 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_s_decl,type,
v_s: $i ).
thf(v_t_decl,type,
v_t: $i ).
thf(v_ta_decl,type,
v_ta: $i ).
thf(c_Code__Evaluation_Otracing_decl,type,
c_Code__Evaluation_Otracing: $i > $i > $i > $i ).
thf(v_x_decl,type,
v_x: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(1,negated_conjecture,
v_s != v_t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(5,plain,
v_s != v_t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] : ( A = v_ta ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(6,plain,
! [A: $i] : ( A = v_ta ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Code__Evaluation_Otracing ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def_0) ).
thf(10,plain,
! [C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Code__Evaluation_Otracing ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
( ( t_a @ ( v_x @ ( v_s @ c_Code__Evaluation_Otracing ) ) )
= v_x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def__raw_0) ).
thf(12,plain,
( ( t_a @ ( v_x @ ( v_s @ c_Code__Evaluation_Otracing ) ) )
= v_x ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,plain,
$false,
inference(e,[status(thm)],[5,6,10,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV818-1 : 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
% 0.15/5.42 % Computer : n014.cluster.edu
% 0.15/5.42 % Model : x86_64 x86_64
% 0.15/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42 % Memory : 8046.5625MB
% 0.15/5.42 % OS : Linux 6.8.0-71-generic
% 0.15/5.42 % CPULimit : 300
% 0.15/5.42 % WCLimit : 300
% 0.15/5.42 % DateTime : Sat Sep 26 15:00:52 UTC 2026
% 0.15/5.43 % CPUTime :
% 0.15/5.43 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
% 0.20/6.01 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/6.18 % [INFO] Parsing done (162ms).
% 1.25/6.19 % [INFO] Running in sequential loop mode.
% 1.79/6.59 % [INFO] eprover registered as external prover.
% 1.98/6.60 % [INFO] Scanning for conjecture ...
% 1.98/6.68 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 2.17/6.72 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 2.17/6.73 % [INFO] Problem is propositional (TPTP CNF).
% 2.17/6.73 % [INFO] Type checking passed.
% 2.17/6.73 % [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 ...
% 2.53/6.91 % [INFO] [Domain constraints] Detected constraint on $i
% 2.53/6.91 % [INFO] [Domain constraints] dom($i) ⊆ {v_ta}
% 3.02/7.18 % External prover 'e' found a proof!
% 3.02/7.18 % [INFO] Killing All external provers ...
% 3.02/7.19 % Time passed: 1611ms (effective reasoning time: 986ms)
% 3.02/7.19 % Axioms used in derivation (2): cls_tracing__def_0, cls_tracing__def__raw_0
% 3.02/7.19 % No. of inferences in proof: 9
% 3.02/7.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1611 ms resp. 986 ms w/o parsing
% 3.21/7.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.21/7.22 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------