TSTP Solution File: DAT082_1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 22:15:36 EDT 2023

% Result   : Theorem 2.22s 1.12s
% Output   : CNFRefutation 2.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : DAT082_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.12  % Command  : run_iprover %s %d THM
% 0.16/0.33  % Computer : n026.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33  % CPULimit : 300
% 0.19/0.33  % WCLimit  : 300
% 0.19/0.33  % DateTime : Thu Aug 24 14:25:47 EDT 2023
% 0.19/0.33  % CPUTime  : 
% 0.19/0.46  Running TFA theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.22/1.12  % SZS status Started for theBenchmark.p
% 2.22/1.12  % SZS status Theorem for theBenchmark.p
% 2.22/1.12  
% 2.22/1.12  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.22/1.12  
% 2.22/1.12  ------  iProver source info
% 2.22/1.12  
% 2.22/1.12  git: date: 2023-05-31 18:12:56 +0000
% 2.22/1.12  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.22/1.12  git: non_committed_changes: false
% 2.22/1.12  git: last_make_outside_of_git: false
% 2.22/1.12  
% 2.22/1.12  ------ Parsing...
% 2.22/1.12  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.22/1.12  
% 2.22/1.12  ------ Preprocessing...
% 2.22/1.12  
% 2.22/1.12  % SZS status Theorem for theBenchmark.p
% 2.22/1.12  
% 2.22/1.12  % SZS output start CNFRefutation for theBenchmark.p
% 2.22/1.12  
% 2.22/1.12  tff(f7,axiom,(
% 2.22/1.12    0 = length(nil)),
% 2.22/1.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l)).
% 2.22/1.12  
% 2.22/1.12  tff(f8,axiom,(
% 2.22/1.12    ! [X3 : $int,X4 : list] : length(cons(X3,X4)) = $sum(1,length(X4))),
% 2.22/1.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1)).
% 2.22/1.12  
% 2.22/1.12  tff(f15,conjecture,(
% 2.22/1.12    2 = length(cons(1,cons(2,nil)))),
% 2.22/1.12    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 2.22/1.12  
% 2.22/1.12  tff(f16,negated_conjecture,(
% 2.22/1.12    ~2 = length(cons(1,cons(2,nil)))),
% 2.22/1.12    inference(negated_conjecture,[],[f15])).
% 2.22/1.12  
% 2.22/1.12  tff(f21,plain,(
% 2.22/1.12    ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 2.22/1.12    introduced(theory_axiom_140,[])).
% 2.22/1.12  
% 2.22/1.12  tff(f34,plain,(
% 2.22/1.12    ! [X0 : $int,X1 : list] : length(cons(X0,X1)) = $sum(1,length(X1))),
% 2.22/1.12    inference(rectify,[],[f8])).
% 2.22/1.12  
% 2.22/1.12  tff(f40,plain,(
% 2.22/1.12    2 != length(cons(1,cons(2,nil)))),
% 2.22/1.12    inference(flattening,[],[f16])).
% 2.22/1.12  
% 2.22/1.12  tff(f71,plain,(
% 2.22/1.12    0 = length(nil)),
% 2.22/1.12    inference(cnf_transformation,[],[f7])).
% 2.22/1.12  
% 2.22/1.12  tff(f72,plain,(
% 2.22/1.12    ( ! [X0 : $int,X1 : list] : (length(cons(X0,X1)) = $sum(1,length(X1))) )),
% 2.22/1.12    inference(cnf_transformation,[],[f34])).
% 2.22/1.12  
% 2.22/1.12  tff(f80,plain,(
% 2.22/1.12    2 != length(cons(1,cons(2,nil)))),
% 2.22/1.12    inference(cnf_transformation,[],[f40])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_58,plain,
% 2.22/1.12      ($sum_int(X0_3,0) = X0_3),
% 2.22/1.12      inference(cnf_transformation,[],[f21])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_77,plain,(length(nil) = 0),inference(cnf_transformation,[],[f71])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_78,plain,
% 2.22/1.12      (length(cons(X0_3,X0_13)) = $sum_int(1,length(X0_13))),
% 2.22/1.12      inference(cnf_transformation,[],[f72])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_86,negated_conjecture,
% 2.22/1.12      (length(cons(1,cons(2,nil))) != 2),
% 2.22/1.12      inference(cnf_transformation,[],[f80])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_357,plain,
% 2.22/1.12      ($sum_int(1,length(cons(2,nil))) != 2),
% 2.22/1.12      inference(demodulation,[status(thm)],[c_86,c_78])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_358,plain,
% 2.22/1.12      (length(cons(2,nil)) != 1),
% 2.22/1.12      inference(smt_theory_normalisation,[status(thm)],[c_357])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_359,plain,
% 2.22/1.12      (1 != 1),
% 2.22/1.12      inference(demodulation,[status(thm)],[c_358,c_58,c_77,c_78])).
% 2.22/1.12  
% 2.22/1.12  cnf(c_360,plain,
% 2.22/1.12      ($false),
% 2.22/1.12      inference(equality_resolution_simp,[status(thm)],[c_359])).
% 2.22/1.12  
% 2.22/1.12  
% 2.22/1.12  % SZS output end CNFRefutation for theBenchmark.p
% 2.22/1.12  
% 2.22/1.12  
%------------------------------------------------------------------------------