%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : ANA042-2 : TPTP v9.3.1. Released v3.2.0.
% 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 : n003.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 06:50:22 AM UTC 2026
% Result : Unsatisfiable 5.08s 3.19s
% Output : Refutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 135 ( 6 ~; 1 |; 0 &; 128 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_decl,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_HOL_Oabs_decl,type,
c_HOL_Oabs: $i > $i > $i ).
thf(v_f_decl,type,
v_f: $i > $i > $i ).
thf(t_c_decl,type,
t_c: $i ).
thf(c_times_decl,type,
c_times: $i > $i > $i > $i ).
thf(v_x_decl,type,
v_x: $i ).
thf(v_h_decl,type,
v_h: $i > $i > $i ).
thf(v_xa_decl,type,
v_xa: $i > $i ).
thf(v_xb_decl,type,
v_xb: $i > $i ).
thf(1,negated_conjecture,
! [B: $i,A: $i] : ( t_c @ ( t_c @ ( B @ ( A @ v_h ) @ ( v_x @ c_times ) ) @ ( t_c @ ( B @ ( A @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(3,plain,
! [B: $i,A: $i] : ( t_c @ ( t_c @ ( B @ ( A @ v_h ) @ ( v_x @ c_times ) ) @ ( t_c @ ( B @ ( A @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
~ ( t_c @ ( t_c @ ( A @ v_xb @ ( A @ v_xa @ v_h ) @ ( A @ c_times ) ) @ ( t_c @ ( A @ v_xb @ ( A @ v_xa @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(4,plain,
! [A: $i] :
~ ( t_c @ ( t_c @ ( A @ v_xb @ ( A @ v_xa @ v_h ) @ ( A @ c_times ) ) @ ( t_c @ ( A @ v_xb @ ( A @ v_xa @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: $i] :
~ ( t_c @ ( t_c @ ( A @ v_xb @ ( A @ v_xa @ v_h ) @ ( A @ c_times ) ) @ ( t_c @ ( A @ v_xb @ ( A @ v_xa @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
! [C: $i,B: $i,A: $i] :
( ( ( t_c @ ( t_c @ ( B @ ( A @ v_h ) @ ( v_x @ c_times ) ) @ ( t_c @ ( B @ ( A @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) )
!= ( t_c @ ( t_c @ ( C @ v_xb @ ( C @ v_xa @ v_h ) @ ( C @ c_times ) ) @ ( t_c @ ( C @ v_xb @ ( C @ v_xa @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[3,5]) ).
thf(7,plain,
! [C: $i,B: $i,A: $i] :
( ( t_c @ ( t_c @ ( B @ ( A @ v_h ) @ ( v_x @ c_times ) ) @ ( t_c @ ( B @ ( A @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) )
!= ( t_c @ ( t_c @ ( C @ v_xb @ ( C @ v_xa @ v_h ) @ ( C @ c_times ) ) @ ( t_c @ ( C @ v_xb @ ( C @ v_xa @ v_f ) @ c_HOL_Oabs ) @ c_lessequals ) ) ) ),
inference(simp,[status(thm)],[6]) ).
thf(8,plain,
$false,
inference(pattern_uni,[status(thm)],[7:[bind(A,$thf( v_x @ v_xa )),bind(B,$thf( v_x @ v_xb )),bind(C,$thf( v_x ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA042-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.13 % 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
% 0.24/0.49 % Computer : n003.cluster.edu
% 0.24/0.49 % Model : x86_64 x86_64
% 0.24/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.49 % Memory : 8046.5625MB
% 0.24/0.49 % OS : Linux 6.8.0-71-generic
% 0.24/0.49 % CPULimit : 300
% 0.24/0.49 % WCLimit : 300
% 0.24/0.49 % DateTime : Sat Sep 26 22:11:25 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 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
% 1.27/1.29 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.78/1.54 % [INFO] Parsing done (250ms).
% 1.78/1.56 % [INFO] Running in sequential loop mode.
% 2.85/2.18 % [INFO] eprover registered as external prover.
% 2.85/2.19 % [INFO] Scanning for conjecture ...
% 3.09/2.34 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 3.24/2.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 3.24/2.41 % [INFO] Problem is propositional (TPTP CNF).
% 3.24/2.41 % [INFO] Type checking passed.
% 3.24/2.42 % [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 ...
% 5.08/3.18 % [INFO] Killing All external provers ...
% 5.08/3.18 % Time passed: 2481ms (effective reasoning time: 1611ms)
% 5.08/3.19 % Axioms used in derivation (0):
% 5.08/3.19 % No. of inferences in proof: 8
% 5.08/3.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2481 ms resp. 1611 ms w/o parsing
% 5.11/3.25 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.11/3.25 % [INFO] Killing All external provers ...
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