%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 02:39:43 PM UTC 2026
% Result : Unsatisfiable 2.40s 1.50s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 34 unt; 5 def)
% Number of atoms : 55 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
! [X0] : multiply(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-1.ax',one_times_x) ).
fof(f8,axiom,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f9,negated_conjecture,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_base_step) ).
fof(f10,plain,
c != negate(add(a,negate(add(b,multiply(one,add(a,c)))))),
inference(reorient_equations,[],[f9]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i] : multiply(one,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
negate(add(a,negate(b))) = c,
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c,
inference(cnf_transformation,[],[f10]) ).
tcf(c_101,plain,
negate(add(a,negate(add(b,add(a,c))))) != c,
inference(demodulation,[status(thm)],[c_66,c_61]) ).
tcf(c_102,plain,
negate(add(a,negate(add(a,add(c,b))))) != c,
inference(theory_normalisation,[status(thm)],[c_101,c_59,c_58]) ).
tcf(c_110,definition,
iPr_def_10 = add(c,b),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_111,definition,
iPr_def_11 = add(a,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_112,definition,
iPr_def_12 = negate(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_113,definition,
iPr_def_13 = add(a,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_114,definition,
iPr_def_14 = negate(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_115,plain,
iPr_def_14 != c,
inference(demodulation,[status(thm)],[c_102,c_110,c_111,c_112,c_113,c_114]) ).
tcf(c_254,plain,
add(iPr_def_10,a) = iPr_def_11,
inference(theory_normalisation,[status(thm)],[c_111,c_59,c_58]) ).
tcf(c_255,plain,
add(iPr_def_12,a) = iPr_def_13,
inference(theory_normalisation,[status(thm)],[c_113,c_59,c_58]) ).
tcf(c_270,plain,
negate(add(negate(add(a,b)),c)) = a,
inference(superposition,[status(thm)],[c_65,c_60]) ).
tcf(c_282,plain,
negate(add(c,negate(add(a,b)))) = a,
inference(theory_normalisation,[status(thm)],[c_270,c_59,c_58]) ).
tcf(c_326,plain,
negate(add(negate(add(c,add(a,b))),a)) = c,
inference(superposition,[status(thm)],[c_282,c_60]) ).
tcf(c_327,plain,
negate(add(a,negate(add(a,add(c,b))))) = c,
inference(theory_normalisation,[status(thm)],[c_326,c_59,c_58]) ).
tcf(c_328,plain,
negate(add(a,negate(add(a,iPr_def_10)))) = c,
inference(light_normalisation,[status(thm)],[c_327,c_110]) ).
tcf(c_329,plain,
negate(add(a,negate(add(iPr_def_10,a)))) = c,
inference(theory_normalisation,[status(thm)],[c_328,c_59,c_58]) ).
tcf(c_330,plain,
negate(add(a,iPr_def_12)) = c,
inference(light_normalisation,[status(thm)],[c_329,c_112,c_254]) ).
tcf(c_331,plain,
negate(add(iPr_def_12,a)) = c,
inference(theory_normalisation,[status(thm)],[c_330,c_59,c_58]) ).
tcf(c_332,plain,
c = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_331,c_114,c_255]) ).
tcf(c_338,plain,
iPr_def_14 != iPr_def_14,
inference(demodulation,[status(thm)],[c_115,c_332]) ).
tcf(c_339,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.44 % Computer : n011.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Thu Sep 24 08:26:14 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.26/0.52
% 0.26/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.52
% 0.26/0.52 % Detected problem language: tptp
% 0.26/0.54 % Proving...
% 2.40/1.50 % SZS status Started for theBenchmark.p
% 2.40/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.40/1.50
% 2.40/1.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.40/1.50
% 2.40/1.50 % ------ iProver source info
% 2.40/1.50
% 2.40/1.50 % git: date: 2026-07-19 20:42:38 +0200
% 2.40/1.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.40/1.50 % git: non_committed_changes: false
% 2.40/1.50
% 2.40/1.50 % ------ Parsing...% successful
% 2.40/1.50
% 2.40/1.50
% 2.40/1.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.40/1.50
% 2.40/1.50 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.40/1.50
% 2.40/1.50 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.40/1.50
% 2.40/1.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.40/1.50 % ------ Proving...
% 2.40/1.50 % ------ Problem Properties
% 2.40/1.50
% 2.40/1.50 %
% 2.40/1.50 % clauses 14
% 2.40/1.50 % conjectures 0
% 2.40/1.50 % EPR 2
% 2.40/1.50 % Horn 14
% 2.40/1.50 % unary 12
% 2.40/1.50 % binary 2
% 2.40/1.50 % lits 16
% 2.40/1.50 % lits eq 12
% 2.40/1.50 % fd_pure 0
% 2.40/1.50 % fd_pseudo 0
% 2.40/1.50 % fd_cond 0
% 2.40/1.50 % fd_pseudo_cond 0
% 2.40/1.50 % AC symbols 1
% 2.40/1.50
% 2.40/1.50 % ------ Schedule dynamic 5 is on
% 2.40/1.50
% 2.40/1.50 % ------ no conjectures: strip conj schedule
% 2.40/1.50
% 2.40/1.50 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.40/1.50
% 2.40/1.50
% 2.40/1.50 % ------
% 2.40/1.50 % Current options:
% 2.40/1.50 % ------
% 2.40/1.50
% 2.40/1.50
% 2.40/1.50 %
% 2.40/1.50
% 2.40/1.50 % ------ Proving...
% 2.40/1.50 %
% 2.40/1.50
% 2.40/1.50 % SZS status Unsatisfiable for theBenchmark.p
% 2.40/1.50
% 2.40/1.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.40/1.50
% 2.40/1.50
%------------------------------------------------------------------------------