%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 : Fri Sep 25 01:59:47 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.65s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f2,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(f(f(f(X0,X1),f(X1,X2)),X3),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : f(X0,f(f(X0,X1),f(f(f(X0,X1),f(f(f(X2,X0),f(X2,X0)),f(X2,X0))),X3))) = f(X0,X1),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(f(f(X0,X1),f(X1,X2)),X1)) = f(f(X0,X1),f(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_92]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(f(f(X0,X1),f(X1,X2)),X1),f(X1,X1)) = X1,
inference(superposition,[status(thm)],[c_51,c_102]) ).
tcf(c_235,plain,
! [X0: $i] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_153,c_153]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X0,f(f(X0,f(f(X0,X0),X0)),X0))) = X0,
inference(superposition,[status(thm)],[c_235,c_51]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X1,f(f(X1,f(f(X0,X0),X0)),X2))) = X1,
inference(superposition,[status(thm)],[c_301,c_51]) ).
tcf(c_959,plain,
! [X0: $i] : f(X0,f(f(X0,f(f(X0,X0),X0)),X0)) = f(X0,X0),
inference(superposition,[status(thm)],[c_301,c_235]) ).
tcf(c_965,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
inference(superposition,[status(thm)],[c_301,c_92]) ).
tcf(c_979,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_301,c_959]) ).
tcf(c_1125,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X1,X1)) = X1,
inference(superposition,[status(thm)],[c_956,c_102]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X0,f(f(X0,f(f(X2,X2),X2)),X1))) = X0,
inference(superposition,[status(thm)],[c_956,c_51]) ).
tcf(c_1548,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X1,X0),f(X1,X0))) = f(X1,X0),
inference(superposition,[status(thm)],[c_956,c_979]) ).
tcf(c_1563,plain,
! [X0: $i,X1: $i] : f(f(f(X0,X0),X1),X0) = f(X0,X0),
inference(superposition,[status(thm)],[c_979,c_979]) ).
tcf(c_1677,plain,
! [X0: $i,X1: $i] : f(f(X0,f(X1,X1)),X1) = f(X1,X1),
inference(superposition,[status(thm)],[c_1125,c_1125]) ).
tcf(c_1861,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[status(thm)],[c_1563,c_102]) ).
tcf(c_1988,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,f(f(X0,f(f(X1,X1),X1)),X2)),f(X0,f(f(X0,f(f(X1,X1),X1)),X2))) = X0,
inference(superposition,[status(thm)],[c_1677,c_51]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_1861,c_979]) ).
tcf(c_2705,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_1548,c_2697]) ).
tcf(c_2864,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(f(X0,f(f(X0,f(f(X1,X1),X1)),X2)),f(X0,f(f(X0,f(f(X1,X1),X1)),X2))),X0) = f(X0,f(f(X0,f(f(X1,X1),X1)),X2)),
inference(superposition,[status(thm)],[c_1127,c_2705]) ).
tcf(c_2929,plain,
! [X0: $i,X1: $i,X2: $i] : f(X0,f(f(X0,f(f(X1,X1),X1)),X2)) = f(X0,X0),
inference(light_normalisation,[status(thm)],[c_2864,c_1988]) ).
tcf(c_3763,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X1,X1),X1)) = f(X0,X0),
inference(superposition,[status(thm)],[c_2929,c_965]) ).
tcf(c_3919,plain,
! [X0: $i,X1: $i] : f(X0,f(X1,f(X1,X1))) = f(X0,X0),
inference(superposition,[status(thm)],[c_2697,c_3763]) ).
tcf(c_3972,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,f(f(X1,X1),X1)),f(X2,X0)) = X0,
inference(superposition,[status(thm)],[c_3763,c_2705]) ).
tcf(c_3985,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X1,f(f(X2,X2),X2))) = X1,
inference(superposition,[status(thm)],[c_3763,c_1125]) ).
tcf(c_4201,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X1,f(X1,X1))) = X0,
inference(superposition,[status(thm)],[c_3919,c_2697]) ).
tcf(c_6781,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),X0) = f(f(X1,X1),X1),
inference(superposition,[status(thm)],[c_3985,c_3972]) ).
tcf(c_6984,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),X0) = f(X1,f(X1,X1)),
inference(superposition,[status(thm)],[c_6781,c_4201]) ).
tcf(c_7108,plain,
! [X0: $i,X1: $i] : f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
inference(superposition,[status(thm)],[c_6984,c_4201]) ).
tcf(c_7144,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_7108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT394-2 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n017.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Wed Sep 23 21:27:30 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running UEQ theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.44 % Detected problem language: tptp
% 0.09/0.45 % Proving...
% 1.27/1.65 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.27/1.65 % SZS status Started for theBenchmark.p
% 1.27/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.65
% 1.27/1.65 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.27/1.65
% 1.27/1.65 % ------ iProver source info
% 1.27/1.65
% 1.27/1.65 % git: date: 2026-07-19 20:42:38 +0200
% 1.27/1.65 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.27/1.65 % git: non_committed_changes: false
% 1.27/1.65
% 1.27/1.65 % ------ Parsing...% successful
% 1.27/1.65
% 1.27/1.65
% 1.27/1.65 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.27/1.65
% 1.27/1.65 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.27/1.65
% 1.27/1.65 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.27/1.65
% 1.27/1.65 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.27/1.65 % ------ Proving...
% 1.27/1.65 % ------ Problem Properties
% 1.27/1.65
% 1.27/1.65 %
% 1.27/1.65 % clauses 2
% 1.27/1.65 % conjectures 1
% 1.27/1.65 % EPR 0
% 1.27/1.65 % Horn 2
% 1.27/1.65 % unary 2
% 1.27/1.65 % binary 0
% 1.27/1.65 % lits 2
% 1.27/1.65 % lits eq 2
% 1.27/1.65 % fd_pure 0
% 1.27/1.65 % fd_pseudo 0
% 1.27/1.65 % fd_cond 0
% 1.27/1.65 % fd_pseudo_cond 0
% 1.27/1.65 % AC symbols 0
% 1.27/1.65
% 1.27/1.65 % ------ Input Options Time Limit: Unbounded
% 1.27/1.65
% 1.27/1.65
% 1.27/1.65 % ------
% 1.27/1.65 % Current options:
% 1.27/1.65 % ------
% 1.27/1.65
% 1.27/1.65
% 1.27/1.65 %
% 1.27/1.65
% 1.27/1.65 % ------ Proving...
% 1.27/1.65 %
% 1.27/1.65
% 1.27/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.65
% 1.27/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.27/1.65
% 1.27/1.65
%------------------------------------------------------------------------------