%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT394-1 : 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 : n026.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 1.03s 1.76s
% Output : CNFRefutation 1.03s
% 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(f6,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
tcf(c_54,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_55,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_95,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_54,c_54]) ).
tcf(c_105,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_54,c_95]) ).
tcf(c_156,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_54,c_105]) ).
tcf(c_238,plain,
! [X0: $i] : f(f(X0,X0),f(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_156,c_156]) ).
tcf(c_304,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_238,c_54]) ).
tcf(c_959,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_304,c_54]) ).
tcf(c_962,plain,
! [X0: $i] : f(X0,f(f(X0,f(f(X0,X0),X0)),X0)) = f(X0,X0),
inference(superposition,[status(thm)],[c_304,c_238]) ).
tcf(c_971,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X0,X1),f(X0,X1))) = f(X0,X1),
inference(superposition,[status(thm)],[c_304,c_95]) ).
tcf(c_982,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X0,X0)) = X0,
inference(demodulation,[status(thm)],[c_304,c_962]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i] : f(f(X0,X1),f(X1,X1)) = X1,
inference(superposition,[status(thm)],[c_959,c_105]) ).
tcf(c_1130,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_959,c_54]) ).
tcf(c_1551,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X1,X0),f(X1,X0))) = f(X1,X0),
inference(superposition,[status(thm)],[c_959,c_982]) ).
tcf(c_1566,plain,
! [X0: $i,X1: $i] : f(f(f(X0,X0),X1),X0) = f(X0,X0),
inference(superposition,[status(thm)],[c_982,c_982]) ).
tcf(c_1675,plain,
! [X0: $i,X1: $i] : f(f(X0,f(X1,X1)),X1) = f(X1,X1),
inference(superposition,[status(thm)],[c_1128,c_1128]) ).
tcf(c_1864,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X0,X0)) = f(f(X0,X0),f(X0,X1)),
inference(superposition,[status(thm)],[c_1566,c_105]) ).
tcf(c_1991,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_1675,c_54]) ).
tcf(c_2700,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X0,X1)) = X0,
inference(demodulation,[status(thm)],[c_1864,c_982]) ).
tcf(c_2708,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_1551,c_2700]) ).
tcf(c_2867,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_1130,c_2708]) ).
tcf(c_2932,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_2867,c_1991]) ).
tcf(c_3766,plain,
! [X0: $i,X1: $i] : f(X0,f(f(X1,X1),X1)) = f(X0,X0),
inference(superposition,[status(thm)],[c_2932,c_971]) ).
tcf(c_3922,plain,
! [X0: $i,X1: $i] : f(X0,f(X1,f(X1,X1))) = f(X0,X0),
inference(superposition,[status(thm)],[c_2700,c_3766]) ).
tcf(c_3975,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,f(f(X1,X1),X1)),f(X2,X0)) = X0,
inference(superposition,[status(thm)],[c_3766,c_2708]) ).
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_3766,c_1128]) ).
tcf(c_4204,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),f(X1,f(X1,X1))) = X0,
inference(superposition,[status(thm)],[c_3922,c_2700]) ).
tcf(c_6784,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),X0) = f(f(X1,X1),X1),
inference(superposition,[status(thm)],[c_3985,c_3975]) ).
tcf(c_6987,plain,
! [X0: $i,X1: $i] : f(f(X0,X0),X0) = f(X1,f(X1,X1)),
inference(superposition,[status(thm)],[c_6784,c_4204]) ).
tcf(c_7111,plain,
! [X0: $i,X1: $i] : f(X0,f(X0,X0)) = f(X1,f(X1,X1)),
inference(superposition,[status(thm)],[c_6987,c_4204]) ).
tcf(c_7147,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_55,c_7111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT394-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:34:54 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.03/1.76 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.03/1.76 % SZS status Started for theBenchmark.p
% 1.03/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.03/1.76
% 1.03/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.03/1.76
% 1.03/1.76 % ------ iProver source info
% 1.03/1.76
% 1.03/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.03/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.03/1.76 % git: non_committed_changes: false
% 1.03/1.76
% 1.03/1.76 % ------ Parsing...% successful
% 1.03/1.76
% 1.03/1.76
% 1.03/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.03/1.76
% 1.03/1.76 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.03/1.76
% 1.03/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.03/1.76
% 1.03/1.76 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.03/1.76 % ------ Proving...
% 1.03/1.76 % ------ Problem Properties
% 1.03/1.76
% 1.03/1.76 %
% 1.03/1.76 % clauses 2
% 1.03/1.76 % conjectures 1
% 1.03/1.76 % EPR 0
% 1.03/1.76 % Horn 2
% 1.03/1.76 % unary 2
% 1.03/1.76 % binary 0
% 1.03/1.76 % lits 2
% 1.03/1.76 % lits eq 2
% 1.03/1.76 % fd_pure 0
% 1.03/1.76 % fd_pseudo 0
% 1.03/1.76 % fd_cond 0
% 1.03/1.76 % fd_pseudo_cond 0
% 1.03/1.76 % AC symbols 0
% 1.03/1.76
% 1.03/1.76 % ------ Input Options Time Limit: Unbounded
% 1.03/1.76
% 1.03/1.76
% 1.03/1.76 % ------
% 1.03/1.76 % Current options:
% 1.03/1.76 % ------
% 1.03/1.76
% 1.03/1.76
% 1.03/1.76 %
% 1.03/1.76
% 1.03/1.76 % ------ Proving...
% 1.03/1.76 %
% 1.03/1.76
% 1.03/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.03/1.76
% 1.03/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.03/1.76
% 1.03/1.76
%------------------------------------------------------------------------------