%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 : Thu Sep 24 02:04:34 PM UTC 2026
% Result : Theorem 0.24s 0.60s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X1,X2,X3] :
( ( join(X3,X2) = X2
& join(X1,X2) = X2 )
=> join(join(X1,X3),X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(maddux1_join_commutativity,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( join(X3,X2) = X2
& join(X1,X2) = X2 )
=> join(join(X1,X3),X2) = X2 ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_4,negated_conjecture,
( join(join(esk1_0,esk3_0),esk2_0) != esk2_0
& join(esk3_0,esk2_0) = esk2_0
& join(esk1_0,esk2_0) = esk2_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X4,X5] : join(X4,X5) = join(X5,X4),
inference(variable_rename,[status(thm)],[maddux1_join_commutativity]) ).
fof(c_0_6,plain,
! [X6,X7,X8] : join(X6,join(X7,X8)) = join(join(X6,X7),X8),
inference(variable_rename,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_0_7,negated_conjecture,
join(esk1_0,esk2_0) = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
join(join(esk1_0,esk3_0),esk2_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
join(esk2_0,esk1_0) = esk2_0,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
join(esk3_0,esk2_0) = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
join(esk2_0,join(esk1_0,esk3_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,negated_conjecture,
join(esk2_0,join(esk1_0,X1)) = join(esk2_0,X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
join(esk2_0,esk3_0) = esk2_0,
inference(rw,[status(thm)],[c_0_12,c_0_8]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n011.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.47 % DateTime : Mon Sep 21 04:08:40 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.56 Running first-order theorem proving
% 0.24/0.56 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.60 % Version: 3.5.1
% 0.24/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.60 % Starting sh5l with 300s (1) cores
% 0.24/0.60 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 939791 completed with status 0
% 0.24/0.60 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.60 % No SInE strategy applied
% 0.24/0.60 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.24/0.60 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.60 % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 0.24/0.60 % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.24/0.60 % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.24/0.60 % SubtermCWHack with pid 939796 completed with status 0
% 0.24/0.60 % Result found by SubtermCWHack
% 0.24/0.60 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.60 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.60 % No SInE strategy applied
% 0.24/0.60 % Search class: FUUPM-FFSF21-MFFFFFNN
% 0.24/0.60 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.60 % Preprocessing time : 0.002 s
% 0.24/0.60
% 0.24/0.60 % Proof found!
% 0.24/0.60 % SZS status Theorem
% 0.24/0.60 % SZS output start CNFRefutation
% See solution above
% 0.24/0.60 % Parsed axioms : 14
% 0.24/0.60 % Removed by relevancy pruning/SinE : 0
% 0.24/0.60 % Initial clauses : 16
% 0.24/0.60 % Removed in clause preprocessing : 1
% 0.24/0.60 % Initial clauses in saturation : 15
% 0.24/0.60 % Processed clauses : 32
% 0.24/0.60 % ...of these trivial : 3
% 0.24/0.60 % ...subsumed : 4
% 0.24/0.60 % ...remaining for further processing : 25
% 0.24/0.60 % Other redundant clauses eliminated : 0
% 0.24/0.60 % Clauses deleted for lack of memory : 0
% 0.24/0.60 % Backward-subsumed : 0
% 0.24/0.60 % Backward-rewritten : 4
% 0.24/0.60 % Generated clauses : 90
% 0.24/0.60 % ...of the previous two non-redundant : 69
% 0.24/0.60 % ...aggressively subsumed : 0
% 0.24/0.60 % Contextual simplify-reflections : 0
% 0.24/0.60 % Paramodulations : 90
% 0.24/0.60 % Factorizations : 0
% 0.24/0.60 % NegExts : 0
% 0.24/0.60 % Equation resolutions : 0
% 0.24/0.60 % Disequality decompositions : 0
% 0.24/0.60 % Total rewrite steps : 56
% 0.24/0.60 % ...of those cached : 19
% 0.24/0.60 % Propositional unsat checks : 0
% 0.24/0.60 % Propositional check models : 0
% 0.24/0.60 % Propositional check unsatisfiable : 0
% 0.24/0.60 % Propositional clauses : 0
% 0.24/0.60 % Propositional clauses after purity: 0
% 0.24/0.60 % Propositional unsat core size : 0
% 0.24/0.60 % Propositional preprocessing time : 0.000
% 0.24/0.60 % Propositional encoding time : 0.000
% 0.24/0.60 % Propositional solver time : 0.000
% 0.24/0.60 % Success case prop preproc time : 0.000
% 0.24/0.60 % Success case prop encoding time : 0.000
% 0.24/0.60 % Success case prop solver time : 0.000
% 0.24/0.60 % Current number of processed clauses : 21
% 0.24/0.60 % Positive orientable unit clauses : 20
% 0.24/0.60 % Positive unorientable unit clauses: 1
% 0.24/0.60 % Negative unit clauses : 0
% 0.24/0.60 % Non-unit-clauses : 0
% 0.24/0.60 % Current number of unprocessed clauses: 52
% 0.24/0.60 % ...number of literals in the above : 52
% 0.24/0.60 % Current number of archived formulas : 0
% 0.24/0.60 % Current number of archived clauses : 5
% 0.24/0.60 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.60 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.60 % Non-unit clause-clause subsumptions : 0
% 0.24/0.60 % Unit Clause-clause subsumption calls : 0
% 0.24/0.60 % Rewrite failures with RHS unbound : 0
% 0.24/0.60 % BW rewrite match attempts : 8
% 0.24/0.60 % BW rewrite match successes : 8
% 0.24/0.60 % Condensation attempts : 0
% 0.24/0.60 % Condensation successes : 0
% 0.24/0.60 % Termbank termtop insertions : 1432
% 0.24/0.60 % Search garbage collected termcells : 42
% 0.24/0.60
% 0.24/0.60 % -------------------------------------------------
% 0.24/0.60 % User time : 0.007 s
% 0.24/0.60 % System time : 0.004 s
% 0.24/0.60 % Total time : 0.012 s
% 0.24/0.60 % Maximum resident set size: 3648 pages
% 0.24/0.60
% 0.24/0.60 % -------------------------------------------------
% 0.24/0.60 % User time : 0.014 s
% 0.24/0.60 % System time : 0.016 s
% 0.24/0.60 % Total time : 0.030 s
% 0.24/0.60 % Maximum resident set size: 4608 pages
% 0.24/0.60 % E exiting
%------------------------------------------------------------------------------