TSTP Solution File: NUM844+2 by iProver---3.8

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Thu Aug 31 11:33:12 EDT 2023

% Result   : Theorem 0.56s 0.98s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f58)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    vplus(vmul(vd411,vd413),vplus(vplus(v1,vd411),vd413)) != vplus(vmul(vd411,vd413),vplus(vd413,vplus(v1,vd411))),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_60,plain,
    vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f11,axiom,
    ! [X1,X2] :
      ( vmul(X1,v1) = X1
      & vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).

fof(f48,plain,
    ! [X0] : vmul(X0,v1) = X0,
    inference(cnf_transformation,[],[f23]) ).

fof(f16,axiom,
    ! [X11] : vplus(v1,X11) = vsucc(X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).

fof(f57,plain,
    ! [X0,X1] :
      ( vsucc(X1) != vsucc(X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( vmul(X0,v1) = X0
      & vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
    inference(rectify,[],[f11]) ).

fof(f28,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(rectify,[],[f16]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( vsucc(X0) = vplus(X0,v1)
      & vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
    inference(rectify,[],[f18]) ).

fof(f31,plain,
    ! [X0] :
      ( v1 != X0
     => vsucc(vskolem2(X0)) = X0 ),
    inference(rectify,[],[f19]) ).

fof(f32,plain,
    ! [X0] : vsucc(X0) != X0,
    inference(rectify,[],[f20]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( X0 != X1
     => vsucc(X1) != vsucc(X0) ),
    inference(rectify,[],[f21]) ).

fof(f36,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(ennf_transformation,[],[f31]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( vsucc(X1) != vsucc(X0)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f33]) ).

fof(f47,plain,
    ! [X0,X1] : vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0),
    inference(cnf_transformation,[],[f23]) ).

fof(f51,plain,
    ! [X0] : vsucc(X0) = vplus(v1,X0),
    inference(cnf_transformation,[],[f28]) ).

fof(f14,axiom,
    ! [X7,X8] : vplus(X8,X7) = vplus(X7,X8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).

fof(f66,plain,
    ! [X0,X1] : vplus(vmul(X0,X1),X0) = vmul(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f47,f51]) ).

fof(f26,plain,
    ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
    inference(rectify,[],[f14]) ).

fof(f15,axiom,
    ! [X9,X10] : vplus(vsucc(X9),X10) = vsucc(vplus(X9,X10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(52, 0), 0)') ).

fof(f49,plain,
    ! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
    inference(cnf_transformation,[],[f26]) ).

fof(f27,plain,
    ! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
    inference(rectify,[],[f15]) ).

fof(f50,plain,
    ! [X0,X1] : vplus(vsucc(X0),X1) = vsucc(vplus(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f17,axiom,
    ! [X12,X13,X14] : vplus(vplus(X12,X13),X14) = vplus(X12,vplus(X13,X14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).

fof(f67,plain,
    ! [X0,X1] : vplus(vplus(v1,X0),X1) = vplus(v1,vplus(X0,X1)),
    inference(definition_unfolding,[],[f50,f51,f51]) ).

fof(f29,plain,
    ! [X0,X1,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(rectify,[],[f17]) ).

fof(f52,plain,
    ! [X2,X0,X1] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f29]) ).

fof(f53,plain,
    ! [X0,X1] : vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)),
    inference(cnf_transformation,[],[f30]) ).

fof(f19,axiom,
    ! [X17] :
      ( v1 != X17
     => vsucc(vskolem2(X17)) = X17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(20, 0), 0)') ).

fof(f69,plain,
    ! [X0,X1] : vplus(v1,vplus(X0,X1)) = vplus(X0,vplus(v1,X1)),
    inference(definition_unfolding,[],[f53,f51,f51]) ).

fof(f54,plain,
    ! [X0] : vsucc(X0) = vplus(X0,v1),
    inference(cnf_transformation,[],[f30]) ).

fof(f18,axiom,
    ! [X15,X16] :
      ( vplus(X15,v1) = vsucc(X15)
      & vplus(X15,vsucc(X16)) = vsucc(vplus(X15,X16)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).

fof(f68,plain,
    ! [X0] : vplus(v1,X0) = vplus(X0,v1),
    inference(definition_unfolding,[],[f54,f51]) ).

fof(f55,plain,
    ! [X0] :
      ( vsucc(vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(cnf_transformation,[],[f36]) ).

fof(f20,axiom,
    ! [X18] : vsucc(X18) != X18,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(12, 0), 0)') ).

fof(f70,plain,
    ! [X0] :
      ( vplus(v1,vskolem2(X0)) = X0
      | v1 = X0 ),
    inference(definition_unfolding,[],[f55,f51]) ).

fof(f56,plain,
    ! [X0] : vsucc(X0) != X0,
    inference(cnf_transformation,[],[f32]) ).

fof(f21,axiom,
    ! [X19,X20] :
      ( X19 != X20
     => vsucc(X19) != vsucc(X20) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(6, 0), 0)') ).

fof(f71,plain,
    ! [X0] : vplus(v1,X0) != X0,
    inference(definition_unfolding,[],[f56,f51]) ).

cnf(c_62,plain,
    vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_76,negated_conjecture,
    $false,
    inference(theory_normalisation,[status(thm)],[c_49,c_62,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.08  % Command  : run_iprover %s %d THM
% 0.10/0.26  % Computer : n032.cluster.edu
% 0.10/0.26  % Model    : x86_64 x86_64
% 0.10/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26  % Memory   : 8042.1875MB
% 0.10/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.26  % CPULimit : 300
% 0.10/0.26  % WCLimit  : 300
% 0.10/0.26  % DateTime : Fri Aug 25 08:05:58 EDT 2023
% 0.10/0.27  % CPUTime  : 
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.56/0.98  % SZS status Started for theBenchmark.p
% 0.56/0.98  % SZS status Theorem for theBenchmark.p
% 0.56/0.98  
% 0.56/0.98  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.56/0.98  
% 0.56/0.98  ------  iProver source info
% 0.56/0.98  
% 0.56/0.98  git: date: 2023-05-31 18:12:56 +0000
% 0.56/0.98  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.56/0.98  git: non_committed_changes: false
% 0.56/0.98  git: last_make_outside_of_git: false
% 0.56/0.98  
% 0.56/0.98  ------ Parsing...
% 0.56/0.98  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.56/0.98  
% 0.56/0.98  ------ Preprocessing...
% 0.56/0.98  
% 0.56/0.98  % SZS status Theorem for theBenchmark.p
% 0.56/0.98  
% 0.56/0.98  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.56/0.98  
% 0.56/0.98  
%------------------------------------------------------------------------------