%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP748-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:35:20 PM UTC 2026
% Result : Unsatisfiable 5.03s 2.35s
% Output : CNFRefutation 5.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 74 ( 59 unt; 6 def)
% Number of atoms : 179 ( 95 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 18 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0] : mult(X0,i(X0)) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
fof(f10,plain,
! [X0] : unit = mult(X0,i(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f12,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0,X1] :
( mult(i(X0),mult(X0,X1)) = X1
| mult(X0,X1) = mult(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f14,negated_conjecture,
mult(a,mult(b,mult(c,b))) != mult(mult(mult(a,b),c),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i] : mult(unit,X0) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : mult(mult(mult(X0,X1),X2),X1) = mult(X0,mult(mult(X1,X2),X1)),
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : mult(mult(X0,X1),i(X1)) = X0,
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
! [X0: $i] : mult(X0,i(X0)) = unit,
inference(cnf_transformation,[],[f10]) ).
tcf(c_70,plain,
! [X0: $i] : mult(i(X0),X0) = unit,
inference(cnf_transformation,[],[f12]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ( mult(X0,X1) = mult(X1,X0) )
| ( mult(i(X0),mult(X0,X1)) = X1 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,negated_conjecture,
mult(mult(mult(a,b),c),b) != mult(a,mult(b,mult(c,b))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_110,plain,
mult(a,mult(mult(b,c),b)) != mult(a,mult(b,mult(c,b))),
inference(demodulation,[status(thm)],[c_72,c_67]) ).
tcf(c_118,definition,
iPr_def_10 = mult(b,c),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_119,definition,
iPr_def_11 = mult(iPr_def_10,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_120,definition,
iPr_def_12 = mult(a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_121,definition,
iPr_def_13 = mult(c,b),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_122,definition,
iPr_def_14 = mult(b,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_123,definition,
iPr_def_15 = mult(a,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_124,plain,
iPr_def_12 != iPr_def_15,
inference(demodulation,[status(thm)],[c_110,c_121,c_122,c_123,c_118,c_119,c_120]) ).
tcf(c_125,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( mult(X0,X2) = mult(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_203,plain,
! [X0: $i] : ld(X0,unit) = i(X0),
inference(superposition,[status(thm)],[c_69,c_62]) ).
tcf(c_204,plain,
! [X0: $i] : ld(i(X0),unit) = X0,
inference(superposition,[status(thm)],[c_70,c_62]) ).
tcf(c_205,plain,
ld(c,iPr_def_13) = b,
inference(superposition,[status(thm)],[c_121,c_62]) ).
tcf(c_206,plain,
ld(b,iPr_def_10) = c,
inference(superposition,[status(thm)],[c_118,c_62]) ).
tcf(c_207,plain,
ld(iPr_def_10,iPr_def_11) = b,
inference(superposition,[status(thm)],[c_119,c_62]) ).
tcf(c_208,plain,
ld(a,iPr_def_12) = iPr_def_11,
inference(superposition,[status(thm)],[c_120,c_62]) ).
tcf(c_209,plain,
ld(b,iPr_def_14) = iPr_def_13,
inference(superposition,[status(thm)],[c_122,c_62]) ).
tcf(c_220,plain,
mult(c,b) = iPr_def_13,
inference(superposition,[status(thm)],[c_205,c_61]) ).
tcf(c_221,plain,
mult(b,c) = iPr_def_10,
inference(superposition,[status(thm)],[c_206,c_61]) ).
tcf(c_222,plain,
mult(iPr_def_10,b) = iPr_def_11,
inference(superposition,[status(thm)],[c_207,c_61]) ).
tcf(c_223,plain,
mult(a,iPr_def_11) = iPr_def_12,
inference(superposition,[status(thm)],[c_208,c_61]) ).
tcf(c_224,plain,
mult(b,iPr_def_13) = iPr_def_14,
inference(superposition,[status(thm)],[c_209,c_61]) ).
tcf(c_244,plain,
rd(iPr_def_11,b) = iPr_def_10,
inference(superposition,[status(thm)],[c_222,c_64]) ).
tcf(c_254,plain,
! [X0: $i] :
( ( iPr_def_12 = iPr_def_15 )
| ( iPr_def_15 != X0 )
| ( iPr_def_12 != X0 ) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_259,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( iPr_def_15 != mult(a,iPr_def_11) )
| ( iPr_def_12 != mult(a,iPr_def_11) ) ),
inference(instantiation,[status(thm)],[c_254]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] : mult(X0,i(X1)) = rd(X0,X1),
inference(superposition,[status(thm)],[c_63,c_68]) ).
tcf(c_301,plain,
! [X0: $i] :
( ( iPr_def_15 = mult(a,iPr_def_11) )
| ( iPr_def_15 != X0 )
| ( mult(a,iPr_def_11) != X0 ) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(mult(unit,X1),X0),
inference(superposition,[status(thm)],[c_70,c_67]) ).
tcf(c_405,plain,
! [X0: $i] : i(i(X0)) = X0,
inference(demodulation,[status(thm)],[c_204,c_203]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] :
( ( mult(i(X0),X1) = mult(X1,i(X0)) )
| ( mult(X0,mult(i(X0),X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_405,c_71]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i] :
( ( mult(X0,X1) = mult(X1,X0) )
| ( ld(i(X0),X1) = mult(X0,X1) ) ),
inference(superposition,[status(thm)],[c_71,c_62]) ).
tcf(c_853,plain,
( ( iPr_def_15 = mult(a,iPr_def_11) )
| ( iPr_def_15 != mult(a,iPr_def_14) )
| ( mult(a,iPr_def_11) != mult(a,iPr_def_14) ) ),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_1036,plain,
( ( mult(a,iPr_def_11) = mult(a,iPr_def_14) )
| ( iPr_def_11 != iPr_def_14 )
| ( a != a ) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_1257,plain,
a = a,
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_2518,plain,
! [X0: $i,X1: $i] : mult(i(X0),mult(mult(X0,X1),X0)) = mult(X1,X0),
inference(demodulation,[status(thm)],[c_350,c_66]) ).
tcf(c_2535,plain,
mult(i(b),mult(iPr_def_10,b)) = mult(c,b),
inference(superposition,[status(thm)],[c_221,c_2518]) ).
tcf(c_2572,plain,
mult(i(b),iPr_def_11) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_2535,c_220,c_222]) ).
tcf(c_2763,plain,
ld(i(b),iPr_def_13) = iPr_def_11,
inference(superposition,[status(thm)],[c_2572,c_62]) ).
tcf(c_8895,plain,
! [X0: $i,X1: $i] :
( ( mult(i(X0),X1) = rd(X1,X0) )
| ( mult(X0,mult(i(X0),X1)) = X1 ) ),
inference(demodulation,[status(thm)],[c_410,c_263]) ).
tcf(c_8912,plain,
( ( mult(b,iPr_def_13) = iPr_def_11 )
| ( mult(i(b),iPr_def_11) = rd(iPr_def_11,b) ) ),
inference(superposition,[status(thm)],[c_2572,c_8895]) ).
tcf(c_8943,plain,
( ( iPr_def_11 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8912,c_224,c_244,c_2572]) ).
tcf(c_9158,plain,
iPr_def_10 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_8943,c_120,c_123,c_124,c_259,c_853,c_1036,c_1257,c_8943]) ).
tcf(c_9196,plain,
ld(i(b),iPr_def_10) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2763,c_9158]) ).
tcf(c_9217,plain,
mult(b,iPr_def_10) = iPr_def_14,
inference(demodulation,[status(thm)],[c_122,c_9158]) ).
tcf(c_11070,plain,
( ( mult(b,iPr_def_10) = iPr_def_11 )
| ( mult(b,iPr_def_10) = mult(iPr_def_10,b) ) ),
inference(superposition,[status(thm)],[c_433,c_9196]) ).
tcf(c_11071,plain,
iPr_def_11 = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_11070,c_222,c_9217]) ).
tcf(c_11118,plain,
mult(a,iPr_def_11) = iPr_def_15,
inference(demodulation,[status(thm)],[c_123,c_11071]) ).
tcf(c_11119,plain,
iPr_def_12 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_11118,c_223]) ).
tcf(c_11120,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11119,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP748-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 15:55:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.44
% 0.15/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.44
% 0.15/0.44 % Detected problem language: tptp
% 0.15/0.45 % Proving...
% 5.03/2.35 % SZS status Started for theBenchmark.p
% 5.03/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 5.03/2.35
% 5.03/2.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.03/2.35
% 5.03/2.35 % ------ iProver source info
% 5.03/2.35
% 5.03/2.35 % git: date: 2026-07-19 20:42:38 +0200
% 5.03/2.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.03/2.35 % git: non_committed_changes: false
% 5.03/2.35
% 5.03/2.35 % ------ Parsing...% successful
% 5.03/2.35
% 5.03/2.35
% 5.03/2.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.03/2.35
% 5.03/2.35 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.03/2.35
% 5.03/2.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.03/2.35
% 5.03/2.35 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.03/2.35 % ------ Proving...
% 5.03/2.35 % ------ Problem Properties
% 5.03/2.35
% 5.03/2.35 %
% 5.03/2.35 % clauses 18
% 5.03/2.35 % conjectures 0
% 5.03/2.35 % EPR 1
% 5.03/2.35 % Horn 17
% 5.03/2.35 % unary 17
% 5.03/2.35 % binary 1
% 5.03/2.35 % lits 19
% 5.03/2.35 % lits eq 19
% 5.03/2.35 % fd_pure 0
% 5.03/2.35 % fd_pseudo 0
% 5.03/2.35 % fd_cond 0
% 5.03/2.35 % fd_pseudo_cond 0
% 5.03/2.35 % AC symbols 0
% 5.03/2.35
% 5.03/2.35 % ------ Schedule dynamic 5 is on
% 5.03/2.35
% 5.03/2.35 % ------ no conjectures: strip conj schedule
% 5.03/2.35
% 5.03/2.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 5.03/2.35
% 5.03/2.35
% 5.03/2.35 % ------
% 5.03/2.35 % Current options:
% 5.03/2.35 % ------
% 5.03/2.35
% 5.03/2.35
% 5.03/2.35 %
% 5.03/2.35
% 5.03/2.35 % ------ Proving...
% 5.03/2.35 %
% 5.03/2.35
% 5.03/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 5.03/2.35
% 5.03/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.03/2.35
% 5.03/2.35
%------------------------------------------------------------------------------