%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT391-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 1.32s 1.73s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 15 ( 3 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 94 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(mult(plus(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)),plus(mult(plus(X1,plus(plus(mult(X3,mult(X1,X4)),mult(X5,X1)),X1)),plus(X6,mult(X1,plus(plus(mult(X1,X7),mult(X5,X1)),X1)))),mult(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f2,negated_conjecture,
mult(mult(plus(a,b),plus(b,c)),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f3,plain,
b != mult(mult(plus(a,b),plus(b,c)),b),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(mult(plus(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)),plus(mult(plus(X1,plus(plus(mult(X3,mult(X1,X4)),mult(X5,X1)),X1)),plus(X6,mult(X1,plus(plus(mult(X1,X7),mult(X5,X1)),X1)))),mult(X0,mult(mult(plus(X3,X1),plus(X1,X4)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
mult(mult(plus(a,b),plus(b,c)),b) != b,
inference(cnf_transformation,[],[f3]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : mult(plus(mult(plus(X0,mult(plus(X1,X2),plus(X2,mult(X1,X2)))),plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),mult(X0,mult(plus(X1,X2),plus(X2,mult(X1,X2)))))),X3),plus(mult(plus(X0,mult(mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),mult(plus(X1,X2),plus(X2,mult(X1,X2)))),plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X4)),mult(plus(X1,X2),plus(X2,mult(X1,X2))))),plus(X2,mult(X0,mult(mult(plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),mult(plus(X1,X2),plus(X2,mult(X1,X2)))),plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),X4)),mult(plus(X1,X2),plus(X2,mult(X1,X2))))))),mult(mult(plus(X0,mult(plus(X1,X2),plus(X2,mult(X1,X2)))),plus(mult(plus(X1,X2),plus(X2,mult(X1,X2))),mult(X0,mult(plus(X1,X2),plus(X2,mult(X1,X2)))))),X3))) = mult(plus(X1,X2),plus(X2,mult(X1,X2))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X3)),X1)),plus(mult(plus(X4,mult(mult(plus(X5,X1),plus(X1,X6)),X1)),plus(mult(plus(X1,plus(plus(mult(X5,mult(X1,X6)),mult(X7,X1)),X1)),plus(X8,mult(X1,plus(plus(mult(X1,X9),mult(X7,X1)),X1)))),mult(X4,mult(mult(plus(X5,X1),plus(X1,X6)),X1)))),mult(X0,mult(mult(plus(X1,X1),plus(X1,X3)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_135]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i,X2: $i] : mult(plus(mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X1),plus(X1,mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X1))),X2),plus(X1,mult(mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X1),plus(X1,mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_51,c_270]) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X3)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X3)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
inference(superposition,[status(thm)],[c_368,c_135]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i] : mult(plus(X0,X1),plus(X0,mult(X0,X1))) = X0,
inference(superposition,[status(thm)],[c_368,c_368]) ).
tcf(c_1024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : mult(plus(mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1))))),plus(mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1))))))),X7),plus(X1,mult(mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1))))),plus(mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1))))))),X7))) = mult(plus(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)),plus(mult(plus(X1,plus(plus(mult(X2,mult(X1,X3)),mult(X4,X1)),X1)),plus(X5,mult(X1,plus(plus(mult(X1,X6),mult(X4,X1)),X1)))),mult(X0,mult(mult(plus(X2,X1),plus(X1,X3)),X1)))),
inference(superposition,[status(thm)],[c_51,c_461]) ).
tcf(c_1073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(plus(mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1))))),plus(mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1))))))),X3),plus(X1,mult(mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1))))),plus(mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)))),mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1))))))),X3))) = mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)))),
inference(superposition,[status(thm)],[c_461,c_461]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i,X2: $i] : mult(plus(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)),plus(X1,mult(X0,mult(mult(plus(X1,X1),plus(X1,X2)),X1)))) = X1,
inference(demodulation,[status(thm)],[c_1073,c_470,c_461]) ).
tcf(c_1081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : mult(plus(X0,mult(mult(plus(X1,X2),plus(X2,X3)),X2)),plus(mult(plus(X2,plus(plus(mult(X1,mult(X2,X3)),mult(X4,X2)),X2)),plus(X5,mult(X2,plus(plus(mult(X2,X6),mult(X4,X2)),X2)))),mult(X0,mult(mult(plus(X1,X2),plus(X2,X3)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_1024,c_51,c_470]) ).
tcf(c_1090,plain,
! [X0: $i,X1: $i,X2: $i] : mult(plus(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2),plus(X1,mult(mult(plus(X0,X1),plus(X1,mult(X0,X1))),X2))) = X1,
inference(demodulation,[status(thm)],[c_461,c_1074]) ).
tcf(c_1566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : mult(plus(X0,plus(plus(mult(X1,mult(X0,X2)),mult(X3,X0)),X0)),plus(X4,mult(X0,plus(plus(mult(X0,X5),mult(X3,X0)),X0)))) = X0,
inference(superposition,[status(thm)],[c_1081,c_1090]) ).
tcf(c_1567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(plus(X0,mult(mult(plus(X1,X2),plus(X2,X3)),X2)),plus(X2,mult(X0,mult(mult(plus(X1,X2),plus(X2,X3)),X2)))) = X2,
inference(demodulation,[status(thm)],[c_1081,c_1566]) ).
tcf(c_1755,plain,
! [X0: $i,X1: $i] : mult(plus(X0,X1),plus(X1,mult(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_1566,c_1090]) ).
tcf(c_1866,plain,
! [X0: $i,X1: $i,X2: $i] : plus(plus(mult(X0,mult(X0,X1)),mult(X2,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_1755,c_1566]) ).
tcf(c_1884,plain,
! [X0: $i,X1: $i,X2: $i] : mult(X0,plus(X0,mult(plus(mult(X0,mult(X0,X1)),mult(X2,X0)),X0))) = X0,
inference(superposition,[status(thm)],[c_1866,c_1755]) ).
tcf(c_1892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : mult(plus(X0,X0),plus(X1,mult(X0,plus(plus(mult(X0,X2),mult(X3,X0)),X0)))) = X0,
inference(superposition,[status(thm)],[c_1866,c_1566]) ).
tcf(c_2978,plain,
! [X0: $i,X1: $i] : plus(plus(mult(X0,X0),mult(X1,X0)),X0) = X0,
inference(superposition,[status(thm)],[c_1884,c_1866]) ).
tcf(c_3593,plain,
! [X0: $i,X1: $i] : mult(plus(X0,X0),plus(X1,mult(X0,X0))) = X0,
inference(superposition,[status(thm)],[c_2978,c_1892]) ).
tcf(c_3827,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(plus(X0,X1),plus(X1,X2)),X1) = X1,
inference(superposition,[status(thm)],[c_3593,c_1567]) ).
tcf(c_3834,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_3827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT391-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n006.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 21:31:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 0.10/0.43 % Proving...
% 1.32/1.73 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.32/1.73 % SZS status Started for theBenchmark.p
% 1.32/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.73
% 1.32/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.32/1.73
% 1.32/1.73 % ------ iProver source info
% 1.32/1.73
% 1.32/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 1.32/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.32/1.73 % git: non_committed_changes: false
% 1.32/1.73
% 1.32/1.73 % ------ Parsing...% successful
% 1.32/1.73
% 1.32/1.73
% 1.32/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.32/1.73
% 1.32/1.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.32/1.73
% 1.32/1.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.32/1.73
% 1.32/1.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.32/1.73 % ------ Proving...
% 1.32/1.73 % ------ Problem Properties
% 1.32/1.73
% 1.32/1.73 %
% 1.32/1.73 % clauses 2
% 1.32/1.73 % conjectures 1
% 1.32/1.73 % EPR 0
% 1.32/1.73 % Horn 2
% 1.32/1.73 % unary 2
% 1.32/1.73 % binary 0
% 1.32/1.73 % lits 2
% 1.32/1.73 % lits eq 2
% 1.32/1.73 % fd_pure 0
% 1.32/1.73 % fd_pseudo 0
% 1.32/1.73 % fd_cond 0
% 1.32/1.73 % fd_pseudo_cond 0
% 1.32/1.73 % AC symbols 0
% 1.32/1.73
% 1.32/1.73 % ------ Input Options Time Limit: Unbounded
% 1.32/1.73
% 1.32/1.73
% 1.32/1.73 % ------
% 1.32/1.73 % Current options:
% 1.32/1.73 % ------
% 1.32/1.73
% 1.32/1.73
% 1.32/1.73 %
% 1.32/1.73
% 1.32/1.73 % ------ Proving...
% 1.32/1.73 %
% 1.32/1.73
% 1.32/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.73
% 1.32/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.32/1.73
% 1.32/1.73
%------------------------------------------------------------------------------