TSTP Solution File: NUM845+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 : Fri May  3 02:50:53 EDT 2024

% Result   : Theorem 2.62s 1.17s
% Output   : CNFRefutation 2.62s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f59)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_50,negated_conjecture,
    vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_61,plain,
    vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_62,plain,
    vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_158,plain,
    vmul(vd411,sK0) = sP0_iProver_def,
    definition ).

cnf(c_159,plain,
    vplus(sK0,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_160,plain,
    vplus(vd411,v1) = sP2_iProver_def,
    definition ).

cnf(c_161,plain,
    vmul(sP2_iProver_def,sK0) = sP3_iProver_def,
    definition ).

fof(f12,axiom,
    ! [X2,X3] :
      ( vmul(X2,v1) = X2
      & vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof(f53,plain,
    ! [X0] : vmul(X0,v1) = X0,
    inference(cnf_transformation,[],[f25]) ).

fof(f14,axiom,
    ! [X6] : vplus(v1,X6) = vsucc(X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f57,plain,
    ! [X0,X1] : vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)),
    inference(cnf_transformation,[],[f29]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( vmul(X0,v1) = X0
      & vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
    inference(rectify,[],[f12]) ).

fof(f27,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f14]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vplus(X0,vsucc(X1)) = vsucc(vplus(X0,X1)) ),
    inference(rectify,[],[f16]) ).

fof(f52,plain,
    ! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f55,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f27]) ).

fof(f13,axiom,
    ! [X4,X5] : vplus(X5,X4) = vplus(X4,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f70,plain,
    ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f52,f55]) ).

fof(f26,plain,
    ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
    inference(rectify,[],[f13]) ).

fof(f15,axiom,
    ! [X7,X8,X9] : vplus(vplus(X7,X8),X9) = vplus(X7,vplus(X8,X9)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f54,plain,
    ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
    inference(cnf_transformation,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f15]) ).

fof(f56,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f28]) ).

fof(f58,plain,
    ! [X0] : vsucc(X0) = vplus(X0,v1),
    inference(cnf_transformation,[],[f29]) ).

fof(f16,axiom,
    ! [X10,X11] :
      ( vplus(X10,v1) = vsucc(X10)
      & vplus(X10,vsucc(X11)) = vsucc(vplus(X10,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof(f71,plain,
    ! [X0] : vplus(v1,X0) = vplus(X0,v1),
    inference(definition_unfolding,[],[f58,f55]) ).

cnf(c_63,plain,
    vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_79,negated_conjecture,
    vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
    inference(theory_normalisation,[status(thm)],[c_49,c_63,c_62]) ).

cnf(c_80,negated_conjecture,
    vplus(sK0,vmul(vd411,sK0)) = vmul(vplus(vd411,v1),sK0),
    inference(theory_normalisation,[status(thm)],[c_50,c_63,c_62]) ).

cnf(c_84,plain,
    vplus(X0,vmul(X0,X1)) = vmul(X0,vplus(v1,X1)),
    inference(theory_normalisation,[status(thm)],[c_61,c_63,c_62]) ).

cnf(c_113,plain,
    vplus(v1,vplus(sK0,vplus(vd411,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
    inference(demodulation,[status(thm)],[c_79,c_84]) ).

cnf(c_114,plain,
    vplus(vd411,vplus(v1,vplus(sK0,vmul(vd411,sK0)))) != vmul(vplus(vd411,v1),vplus(v1,sK0)),
    inference(theory_normalisation,[status(thm)],[c_113,c_63,c_62]) ).

cnf(c_162,negated_conjecture,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_80,c_160,c_161,c_158,c_159]) ).

cnf(c_220,plain,
    vplus(vd411,vplus(v1,sP1_iProver_def)) != vmul(sP2_iProver_def,vplus(v1,sK0)),
    inference(light_normalisation,[status(thm)],[c_114,c_158,c_159,c_160]) ).

cnf(c_221,plain,
    vplus(vd411,vplus(v1,sP1_iProver_def)) != vplus(sP2_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_220,c_84,c_161,c_162]) ).

cnf(c_222,plain,
    vplus(sP1_iProver_def,vplus(vd411,v1)) != vplus(sP1_iProver_def,sP2_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_221,c_63,c_62]) ).

cnf(c_223,plain,
    vplus(sP1_iProver_def,sP2_iProver_def) != vplus(sP1_iProver_def,sP2_iProver_def),
    inference(light_normalisation,[status(thm)],[c_222,c_160]) ).

cnf(c_224,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_223]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUM845+2 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n031.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 20:14:16 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.62/1.17  % SZS status Started for theBenchmark.p
% 2.62/1.17  % SZS status Theorem for theBenchmark.p
% 2.62/1.17  
% 2.62/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.62/1.17  
% 2.62/1.17  ------  iProver source info
% 2.62/1.17  
% 2.62/1.17  git: date: 2024-05-02 19:28:25 +0000
% 2.62/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.62/1.17  git: non_committed_changes: false
% 2.62/1.17  
% 2.62/1.17  ------ Parsing...
% 2.62/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.62/1.17  
% 2.62/1.17  ------ Preprocessing... sup_sim: 2  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 2.62/1.17  
% 2.62/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.62/1.17  
% 2.62/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 2.62/1.17  ------ Proving...
% 2.62/1.17  ------ Problem Properties 
% 2.62/1.17  
% 2.62/1.17  
% 2.62/1.17  clauses                                 12
% 2.62/1.17  conjectures                             1
% 2.62/1.17  EPR                                     1
% 2.62/1.17  Horn                                    12
% 2.62/1.17  unary                                   10
% 2.62/1.17  binary                                  2
% 2.62/1.17  lits                                    14
% 2.62/1.17  lits eq                                 14
% 2.62/1.17  fd_pure                                 0
% 2.62/1.17  fd_pseudo                               0
% 2.62/1.17  fd_cond                                 0
% 2.62/1.17  fd_pseudo_cond                          0
% 2.62/1.17  AC symbols                              1
% 2.62/1.17  
% 2.62/1.17  ------ Schedule dynamic 5 is on 
% 2.62/1.17  
% 2.62/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.62/1.17  
% 2.62/1.17  
% 2.62/1.17  ------ 
% 2.62/1.17  Current options:
% 2.62/1.17  ------ 
% 2.62/1.17  
% 2.62/1.17  
% 2.62/1.17  
% 2.62/1.17  
% 2.62/1.17  ------ Proving...
% 2.62/1.17  
% 2.62/1.17  
% 2.62/1.17  % SZS status Theorem for theBenchmark.p
% 2.62/1.17  
% 2.62/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.62/1.17  
% 2.62/1.17  
%------------------------------------------------------------------------------