TSTP Solution File: SYN563-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:17:49 EDT 2023

% Result   : Unsatisfiable 2.86s 0.84s
% Output   : CNFRefutation 2.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   44 (  44 unt;   0 nHn;  15 RR)
%            Number of literals    :   44 (  43 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-4 aty)
%            Number of variables   :   61 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p6_16,negated_conjecture,
    ifeq2(p2(X1,X2),true,ifeq2(p2(X3,X4),true,ifeq2(p6(X3,X1),true,p6(X4,X2),true),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p6_16) ).

cnf(p6_2,negated_conjecture,
    p6(X1,X1) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p6_2) ).

cnf(ifeq_axiom,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',ifeq_axiom) ).

cnf(p6_10,negated_conjecture,
    ifeq2(p5(X1,X2),true,p6(f4(X1),X2),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p6_10) ).

cnf(p5_7,negated_conjecture,
    p5(f3(f3(X1)),f3(f4(X1))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p5_7) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p2_1) ).

cnf(p2_11,negated_conjecture,
    ifeq2(p2(X1,X2),true,p2(f3(X1),f3(X2)),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p2_11) ).

cnf(p2_4,negated_conjecture,
    p2(f4(c7),f4(c8)) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p2_4) ).

cnf(p6_9,negated_conjecture,
    ifeq2(p6(c7,X1),true,p6(c7,f3(X1)),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p6_9) ).

cnf(p6_14,negated_conjecture,
    ifeq2(p6(X1,X2),true,ifeq2(p6(X3,X1),true,p6(X3,X2),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p6_14) ).

cnf(p5_15,negated_conjecture,
    ifeq2(p6(X1,X2),true,ifeq2(p5(X2,X3),true,p5(X1,X3),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p5_15) ).

cnf(p5_8,negated_conjecture,
    ifeq2(p6(f4(X1),X2),true,p5(X1,X2),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',p5_8) ).

cnf(not_p6_5,negated_conjecture,
    ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',not_p6_5) ).

cnf(ifeq_axiom_001,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',ifeq_axiom_001) ).

cnf(goal,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p',goal) ).

cnf(c_0_15,negated_conjecture,
    ifeq2(p2(X1,X2),true,ifeq2(p2(X3,X4),true,ifeq2(p6(X3,X1),true,p6(X4,X2),true),true),true) = true,
    p6_16 ).

cnf(c_0_16,negated_conjecture,
    p6(X1,X1) = true,
    p6_2 ).

cnf(c_0_17,axiom,
    ifeq2(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_18,negated_conjecture,
    ifeq2(p5(X1,X2),true,p6(f4(X1),X2),true) = true,
    p6_10 ).

cnf(c_0_19,negated_conjecture,
    p5(f3(f3(X1)),f3(f4(X1))) = true,
    p5_7 ).

cnf(c_0_20,negated_conjecture,
    ifeq2(p2(X1,X2),true,ifeq2(p2(X1,X3),true,p6(X3,X2),true),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    p2(X1,X1) = true,
    p2_1 ).

cnf(c_0_22,negated_conjecture,
    ifeq2(p2(X1,X2),true,p2(f3(X1),f3(X2)),true) = true,
    p2_11 ).

cnf(c_0_23,negated_conjecture,
    p2(f4(c7),f4(c8)) = true,
    p2_4 ).

cnf(c_0_24,negated_conjecture,
    ifeq2(p6(c7,X1),true,p6(c7,f3(X1)),true) = true,
    p6_9 ).

cnf(c_0_25,negated_conjecture,
    ifeq2(p6(X1,X2),true,ifeq2(p6(X3,X1),true,p6(X3,X2),true),true) = true,
    p6_14 ).

cnf(c_0_26,negated_conjecture,
    p6(f4(f3(f3(X1))),f3(f4(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ifeq2(p2(X1,X2),true,p6(X1,X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]) ).

cnf(c_0_28,negated_conjecture,
    p2(f3(f4(c7)),f3(f4(c8))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17]) ).

cnf(c_0_29,negated_conjecture,
    p6(c7,f3(c7)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_16]),c_0_17]) ).

cnf(c_0_30,negated_conjecture,
    ifeq2(p6(f3(f4(X1)),X2),true,p6(f4(f3(f3(X1))),X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17]) ).

cnf(c_0_31,negated_conjecture,
    p6(f3(f4(c7)),f3(f4(c8))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_17]) ).

cnf(c_0_32,negated_conjecture,
    ifeq2(p6(X1,X2),true,ifeq2(p5(X2,X3),true,p5(X1,X3),true),true) = true,
    p5_15 ).

cnf(c_0_33,negated_conjecture,
    p6(c7,f3(f3(c7))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_17]) ).

cnf(c_0_34,negated_conjecture,
    ifeq2(p6(f4(X1),X2),true,p5(X1,X2),true) = true,
    p5_8 ).

cnf(c_0_35,negated_conjecture,
    p6(f4(f3(f3(c7))),f3(f4(c8))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17]) ).

cnf(c_0_36,negated_conjecture,
    ifeq2(p5(f3(f3(c7)),X1),true,p5(c7,X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_17]) ).

cnf(c_0_37,negated_conjecture,
    p5(f3(f3(c7)),f3(f4(c8))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]) ).

cnf(c_0_38,negated_conjecture,
    p5(c7,f3(f4(c8))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]) ).

cnf(c_0_39,negated_conjecture,
    ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
    not_p6_5 ).

cnf(c_0_40,negated_conjecture,
    p6(f4(c7),f3(f4(c8))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_38]),c_0_17]) ).

cnf(c_0_41,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom_001 ).

cnf(c_0_42,negated_conjecture,
    a != b,
    goal ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Oct  2 18:25:07 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.t8LlLKbenv/E---3.1_9534.p
% 2.86/0.84  # Version: 3.1pre001
% 2.86/0.84  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.86/0.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/0.84  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.86/0.84  # Starting new_bool_3 with 300s (1) cores
% 2.86/0.84  # Starting new_bool_1 with 300s (1) cores
% 2.86/0.84  # Starting sh5l with 300s (1) cores
% 2.86/0.84  # new_bool_1 with pid 9660 completed with status 0
% 2.86/0.84  # Result found by new_bool_1
% 2.86/0.84  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.86/0.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/0.84  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.86/0.84  # Starting new_bool_3 with 300s (1) cores
% 2.86/0.84  # Starting new_bool_1 with 300s (1) cores
% 2.86/0.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.86/0.84  # Search class: FUUPM-FFMS32-MFFFFFNN
% 2.86/0.84  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.86/0.84  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 150s (1) cores
% 2.86/0.84  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 9666 completed with status 0
% 2.86/0.84  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 2.86/0.84  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.86/0.84  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.86/0.84  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.86/0.84  # Starting new_bool_3 with 300s (1) cores
% 2.86/0.84  # Starting new_bool_1 with 300s (1) cores
% 2.86/0.84  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.86/0.84  # Search class: FUUPM-FFMS32-MFFFFFNN
% 2.86/0.84  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.86/0.84  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 150s (1) cores
% 2.86/0.84  # Preprocessing time       : 0.087 s
% 2.86/0.84  
% 2.86/0.84  # Proof found!
% 2.86/0.84  # SZS status Unsatisfiable
% 2.86/0.84  # SZS output start CNFRefutation
% See solution above
% 2.86/0.84  # Parsed axioms                        : 20
% 2.86/0.84  # Removed by relevancy pruning/SinE    : 0
% 2.86/0.84  # Initial clauses                      : 20
% 2.86/0.84  # Removed in clause preprocessing      : 0
% 2.86/0.84  # Initial clauses in saturation        : 20
% 2.86/0.84  # Processed clauses                    : 633
% 2.86/0.84  # ...of these trivial                  : 167
% 2.86/0.84  # ...subsumed                          : 0
% 2.86/0.84  # ...remaining for further processing  : 466
% 2.86/0.84  # Other redundant clauses eliminated   : 0
% 2.86/0.84  # Clauses deleted for lack of memory   : 0
% 2.86/0.84  # Backward-subsumed                    : 0
% 2.86/0.84  # Backward-rewritten                   : 5
% 2.86/0.84  # Generated clauses                    : 16807
% 2.86/0.84  # ...of the previous two non-redundant : 14868
% 2.86/0.84  # ...aggressively subsumed             : 0
% 2.86/0.84  # Contextual simplify-reflections      : 0
% 2.86/0.84  # Paramodulations                      : 16807
% 2.86/0.84  # Factorizations                       : 0
% 2.86/0.84  # NegExts                              : 0
% 2.86/0.84  # Equation resolutions                 : 0
% 2.86/0.84  # Total rewrite steps                  : 16458
% 2.86/0.84  # Propositional unsat checks           : 0
% 2.86/0.84  #    Propositional check models        : 0
% 2.86/0.84  #    Propositional check unsatisfiable : 0
% 2.86/0.84  #    Propositional clauses             : 0
% 2.86/0.84  #    Propositional clauses after purity: 0
% 2.86/0.84  #    Propositional unsat core size     : 0
% 2.86/0.84  #    Propositional preprocessing time  : 0.000
% 2.86/0.84  #    Propositional encoding time       : 0.000
% 2.86/0.84  #    Propositional solver time         : 0.000
% 2.86/0.84  #    Success case prop preproc time    : 0.000
% 2.86/0.84  #    Success case prop encoding time   : 0.000
% 2.86/0.84  #    Success case prop solver time     : 0.000
% 2.86/0.84  # Current number of processed clauses  : 461
% 2.86/0.84  #    Positive orientable unit clauses  : 460
% 2.86/0.84  #    Positive unorientable unit clauses: 0
% 2.86/0.84  #    Negative unit clauses             : 1
% 2.86/0.84  #    Non-unit-clauses                  : 0
% 2.86/0.84  # Current number of unprocessed clauses: 14254
% 2.86/0.84  # ...number of literals in the above   : 14254
% 2.86/0.84  # Current number of archived formulas  : 0
% 2.86/0.84  # Current number of archived clauses   : 5
% 2.86/0.84  # Clause-clause subsumption calls (NU) : 0
% 2.86/0.84  # Rec. Clause-clause subsumption calls : 0
% 2.86/0.84  # Non-unit clause-clause subsumptions  : 0
% 2.86/0.84  # Unit Clause-clause subsumption calls : 0
% 2.86/0.84  # Rewrite failures with RHS unbound    : 0
% 2.86/0.84  # BW rewrite match attempts            : 4350
% 2.86/0.84  # BW rewrite match successes           : 5
% 2.86/0.84  # Condensation attempts                : 0
% 2.86/0.84  # Condensation successes               : 0
% 2.86/0.84  # Termbank termtop insertions          : 312138
% 2.86/0.84  
% 2.86/0.84  # -------------------------------------------------
% 2.86/0.84  # User time                : 0.299 s
% 2.86/0.84  # System time              : 0.018 s
% 2.86/0.84  # Total time               : 0.317 s
% 2.86/0.84  # Maximum resident set size: 1628 pages
% 2.86/0.84  
% 2.86/0.84  # -------------------------------------------------
% 2.86/0.84  # User time                : 0.302 s
% 2.86/0.84  # System time              : 0.020 s
% 2.86/0.84  # Total time               : 0.322 s
% 2.86/0.84  # Maximum resident set size: 1680 pages
% 2.86/0.84  % E---3.1 exiting
% 2.86/0.84  % E---3.1 exiting
%------------------------------------------------------------------------------