%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 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 : n026.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 07:53:17 AM UTC 2026
% Result : Unsatisfiable 3.36s 2.33s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 274 ( 6 ~; 4 |; 0 &; 264 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 25 usr; 24 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(is_a_theorem_decl,type,
is_a_theorem: $i > $o ).
thf(implies_decl,type,
implies: $i > $i > $i ).
thf(x_decl,type,
x: $i ).
thf(y_decl,type,
y: $i ).
thf(z_decl,type,
z: $i ).
thf(u_decl,type,
u: $i ).
thf(v_decl,type,
v: $i ).
thf(w_decl,type,
w: $i ).
thf(v6_decl,type,
v6: $i ).
thf(v7_decl,type,
v7: $i ).
thf(v8_decl,type,
v8: $i ).
thf(v9_decl,type,
v9: $i ).
thf(v10_decl,type,
v10: $i ).
thf(v11_decl,type,
v11: $i ).
thf(v12_decl,type,
v12: $i ).
thf(v13_decl,type,
v13: $i ).
thf(v14_decl,type,
v14: $i ).
thf(v15_decl,type,
v15: $i ).
thf(v16_decl,type,
v16: $i ).
thf(v17_decl,type,
v17: $i ).
thf(v18_decl,type,
v18: $i ).
thf(v19_decl,type,
v19: $i ).
thf(v20_decl,type,
v20: $i ).
thf(v21_decl,type,
v21: $i ).
thf(v22_decl,type,
v22: $i ).
thf(6,axiom,
! [B: $i,A: $i] : ( B @ ( A @ implies ) @ ( B @ ( A @ implies ) @ ( A @ implies ) @ implies ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w) ).
thf(14,plain,
! [B: $i,A: $i] : ( B @ ( A @ implies ) @ ( B @ ( A @ implies ) @ ( A @ implies ) @ implies ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ( B @ is_a_theorem )
| ~ ( A @ is_a_theorem )
| ~ ( B @ ( A @ implies ) @ is_a_theorem ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( B @ is_a_theorem )
| ~ ( A @ is_a_theorem )
| ~ ( B @ ( A @ implies ) @ is_a_theorem ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i] : ( A @ ( A @ implies ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
thf(13,plain,
! [A: $i] : ( A @ ( A @ implies ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( A @ implies ) @ ( B @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( A @ implies ) @ ( B @ implies ) @ ( C @ ( B @ implies ) @ ( A @ implies ) @ implies ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1,negated_conjecture,
~ ( v22 @ ( v22 @ ( v21 @ ( v21 @ ( v16 @ implies ) @ ( v20 @ ( v20 @ implies ) @ implies ) @ ( v19 @ ( v19 @ implies ) @ implies ) @ ( v18 @ ( v18 @ implies ) @ implies ) @ ( v17 @ ( v17 @ implies ) @ implies ) @ implies ) @ ( v16 @ implies ) @ implies ) @ ( v15 @ ( v15 @ ( v14 @ ( v14 @ ( v13 @ ( v11 @ implies ) @ ( v13 @ ( v12 @ implies ) @ implies ) @ ( v12 @ ( v11 @ implies ) @ implies ) @ implies ) @ ( v10 @ ( v9 @ implies ) @ ( v10 @ ( v9 @ implies ) @ ( v9 @ implies ) @ implies ) @ implies ) @ implies ) @ implies ) @ ( v8 @ ( v6 @ implies ) @ ( v8 @ ( v7 @ implies ) @ implies ) @ ( v7 @ ( v6 @ implies ) @ implies ) @ implies ) @ implies ) @ implies ) @ ( w @ ( w @ ( x @ implies ) @ ( v @ ( v @ implies ) @ implies ) @ ( u @ ( u @ implies ) @ implies ) @ ( z @ ( z @ implies ) @ implies ) @ ( y @ ( y @ implies ) @ implies ) @ implies ) @ ( x @ implies ) @ implies ) @ implies ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_rezus) ).
thf(7,plain,
~ ( v22 @ ( v22 @ ( v21 @ ( v21 @ ( v16 @ implies ) @ ( v20 @ ( v20 @ implies ) @ implies ) @ ( v19 @ ( v19 @ implies ) @ implies ) @ ( v18 @ ( v18 @ implies ) @ implies ) @ ( v17 @ ( v17 @ implies ) @ implies ) @ implies ) @ ( v16 @ implies ) @ implies ) @ ( v15 @ ( v15 @ ( v14 @ ( v14 @ ( v13 @ ( v11 @ implies ) @ ( v13 @ ( v12 @ implies ) @ implies ) @ ( v12 @ ( v11 @ implies ) @ implies ) @ implies ) @ ( v10 @ ( v9 @ implies ) @ ( v10 @ ( v9 @ implies ) @ ( v9 @ implies ) @ implies ) @ implies ) @ implies ) @ implies ) @ ( v8 @ ( v6 @ implies ) @ ( v8 @ ( v7 @ implies ) @ implies ) @ ( v7 @ ( v6 @ implies ) @ implies ) @ implies ) @ implies ) @ implies ) @ ( w @ ( w @ ( x @ implies ) @ ( v @ ( v @ implies ) @ implies ) @ ( u @ ( u @ implies ) @ implies ) @ ( z @ ( z @ implies ) @ implies ) @ ( y @ ( y @ implies ) @ implies ) @ implies ) @ ( x @ implies ) @ implies ) @ implies ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] : ( B @ ( C @ implies ) @ ( A @ ( C @ implies ) @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ is_a_theorem ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b) ).
thf(11,plain,
! [C: $i,B: $i,A: $i] : ( B @ ( C @ implies ) @ ( A @ ( C @ implies ) @ implies ) @ ( B @ ( A @ implies ) @ implies ) @ is_a_theorem ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(15,plain,
$false,
inference(e,[status(thm)],[14,9,13,12,7,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.07 % 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
% 0.13/0.39 % Computer : n026.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri Sep 25 23:47:28 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 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
% 0.86/0.97 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.17 % [INFO] Parsing done (189ms).
% 1.21/1.18 % [INFO] Running in sequential loop mode.
% 1.74/1.58 % [INFO] eprover registered as external prover.
% 1.74/1.59 % [INFO] Scanning for conjecture ...
% 2.09/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.09/1.76 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.09/1.77 % [INFO] Problem is propositional (TPTP CNF).
% 2.09/1.77 % [INFO] Type checking passed.
% 2.09/1.78 % [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 ...
% 3.36/2.33 % External prover 'e' found a proof!
% 3.36/2.33 % [INFO] Killing All external provers ...
% 3.36/2.33 % Time passed: 1799ms (effective reasoning time: 1139ms)
% 3.36/2.33 % Axioms used in derivation (5): condensed_detachment, i, b, c, w
% 3.36/2.33 % No. of inferences in proof: 13
% 3.36/2.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1799 ms resp. 1139 ms w/o parsing
% 3.36/2.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.36/2.37 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------