%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ROB022-1 : 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 : n015.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 02:39:44 PM UTC 2026
% Result : Unsatisfiable 3.44s 1.28s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 40 :)
% 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,
add(c,negate(c)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f5,plain,
c = add(c,negate(c)),
inference(reorient_equations,[],[f4]) ).
fof(f6,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
fof(f7,plain,
b != add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))),
inference(reorient_equations,[],[f6]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
add(c,negate(c)) = c,
inference(cnf_transformation,[],[f5]) ).
tcf(c_58,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[],[f7]) ).
tcf(c_62,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(theory_normalisation,[status(thm)],[c_58,c_55,c_54]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_133,plain,
! [X0: $i] : add(c,add(X0,negate(c))) = add(X0,c),
inference(superposition,[status(thm)],[c_57,c_111]) ).
tcf(c_148,plain,
! [X0: $i] : add(c,add(negate(c),X0)) = add(X0,c),
inference(superposition,[status(thm)],[c_54,c_133]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(superposition,[status(thm)],[c_54,c_56]) ).
tcf(c_210,plain,
negate(add(negate(add(c,c)),negate(c))) = c,
inference(superposition,[status(thm)],[c_57,c_56]) ).
tcf(c_218,plain,
negate(add(negate(c),negate(add(c,c)))) = c,
inference(theory_normalisation,[status(thm)],[c_210,c_55,c_54]) ).
tcf(c_283,plain,
negate(add(negate(add(negate(c),add(c,c))),c)) = negate(c),
inference(superposition,[status(thm)],[c_218,c_56]) ).
tcf(c_284,plain,
negate(add(c,negate(add(c,add(c,negate(c)))))) = negate(c),
inference(theory_normalisation,[status(thm)],[c_283,c_55,c_54]) ).
tcf(c_285,plain,
negate(add(c,negate(add(c,c)))) = negate(c),
inference(light_normalisation,[status(thm)],[c_284,c_57]) ).
tcf(c_347,plain,
negate(add(negate(c),negate(add(negate(add(c,c)),negate(c))))) = negate(add(c,c)),
inference(superposition,[status(thm)],[c_285,c_200]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] : negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1)))) = X1,
inference(superposition,[status(thm)],[c_54,c_200]) ).
tcf(c_393,plain,
negate(add(negate(c),negate(add(negate(c),negate(add(c,c)))))) = negate(add(c,c)),
inference(theory_normalisation,[status(thm)],[c_347,c_55,c_54]) ).
tcf(c_394,plain,
negate(add(negate(c),c)) = negate(add(c,c)),
inference(light_normalisation,[status(thm)],[c_393,c_218]) ).
tcf(c_395,plain,
negate(add(c,negate(c))) = negate(add(c,c)),
inference(theory_normalisation,[status(thm)],[c_394,c_55,c_54]) ).
tcf(c_396,plain,
negate(add(c,c)) = negate(c),
inference(light_normalisation,[status(thm)],[c_395,c_57]) ).
tcf(c_424,plain,
negate(add(negate(c),negate(c))) = c,
inference(demodulation,[status(thm)],[c_218,c_396]) ).
tcf(c_537,plain,
! [X0: $i] : negate(add(negate(add(add(negate(c),negate(c)),X0)),negate(add(X0,c)))) = X0,
inference(superposition,[status(thm)],[c_424,c_200]) ).
tcf(c_543,plain,
! [X0: $i] : negate(add(negate(add(X0,c)),negate(add(negate(c),add(negate(c),X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_537,c_55,c_54]) ).
tcf(c_753,plain,
! [X0: $i] : negate(add(negate(add(X0,c)),negate(add(negate(c),add(negate(c),X0))))) = add(negate(c),X0),
inference(superposition,[status(thm)],[c_148,c_369]) ).
tcf(c_802,plain,
! [X0: $i] : add(negate(c),X0) = X0,
inference(light_normalisation,[status(thm)],[c_753,c_543]) ).
tcf(c_909,plain,
! [X0: $i] : negate(add(negate(add(negate(c),X0)),negate(negate(X0)))) = negate(c),
inference(superposition,[status(thm)],[c_802,c_56]) ).
tcf(c_920,plain,
! [X0: $i] : negate(add(negate(negate(X0)),negate(add(negate(c),X0)))) = negate(c),
inference(theory_normalisation,[status(thm)],[c_909,c_55,c_54]) ).
tcf(c_921,plain,
! [X0: $i] : negate(add(negate(negate(X0)),negate(X0))) = negate(c),
inference(light_normalisation,[status(thm)],[c_920,c_802]) ).
tcf(c_922,plain,
! [X0: $i] : negate(add(negate(X0),negate(negate(X0)))) = negate(c),
inference(theory_normalisation,[status(thm)],[c_921,c_55,c_54]) ).
tcf(c_1137,plain,
! [X0: $i] : negate(add(X0,negate(X0))) = negate(c),
inference(superposition,[status(thm)],[c_200,c_922]) ).
tcf(c_1167,plain,
! [X0: $i] : negate(add(negate(c),negate(add(X0,negate(negate(X0)))))) = X0,
inference(superposition,[status(thm)],[c_1137,c_56]) ).
tcf(c_1175,plain,
! [X0: $i] : negate(add(negate(add(X0,X0)),negate(c))) = X0,
inference(superposition,[status(thm)],[c_1137,c_200]) ).
tcf(c_1179,plain,
! [X0: $i] : negate(add(negate(c),negate(add(X0,X0)))) = X0,
inference(theory_normalisation,[status(thm)],[c_1175,c_55,c_54]) ).
tcf(c_1262,plain,
! [X0: $i] : negate(negate(add(X0,X0))) = X0,
inference(demodulation,[status(thm)],[c_1179,c_802]) ).
tcf(c_1270,plain,
! [X0: $i] : negate(add(negate(add(X0,X0)),X0)) = negate(c),
inference(superposition,[status(thm)],[c_1262,c_1137]) ).
tcf(c_1275,plain,
! [X0: $i] : negate(add(X0,negate(add(X0,X0)))) = negate(c),
inference(theory_normalisation,[status(thm)],[c_1270,c_55,c_54]) ).
tcf(c_1436,plain,
! [X0: $i] : negate(negate(add(X0,negate(negate(X0))))) = X0,
inference(demodulation,[status(thm)],[c_1167,c_802]) ).
tcf(c_1440,plain,
! [X0: $i] : negate(negate(add(add(X0,X0),X0))) = add(X0,X0),
inference(superposition,[status(thm)],[c_1262,c_1436]) ).
tcf(c_1461,plain,
! [X0: $i] : negate(negate(add(X0,add(X0,X0)))) = add(X0,X0),
inference(theory_normalisation,[status(thm)],[c_1440,c_55,c_54]) ).
tcf(c_1562,plain,
! [X0: $i] : negate(add(negate(add(add(X0,X0),X0)),negate(c))) = X0,
inference(superposition,[status(thm)],[c_1275,c_200]) ).
tcf(c_1565,plain,
! [X0: $i] : negate(add(negate(c),negate(add(X0,add(X0,X0))))) = X0,
inference(theory_normalisation,[status(thm)],[c_1562,c_55,c_54]) ).
tcf(c_1939,plain,
! [X0: $i] : add(X0,X0) = X0,
inference(demodulation,[status(thm)],[c_1565,c_802,c_1461]) ).
tcf(c_1943,plain,
! [X0: $i] : negate(negate(X0)) = X0,
inference(demodulation,[status(thm)],[c_1262,c_1939]) ).
tcf(c_1980,plain,
! [X0: $i,X1: $i] : add(negate(add(X0,X1)),negate(add(X1,negate(X0)))) = negate(X1),
inference(superposition,[status(thm)],[c_200,c_1943]) ).
tcf(c_1998,plain,
negate(negate(b)) != b,
inference(demodulation,[status(thm)],[c_62,c_1980]) ).
tcf(c_2000,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1998,c_1943]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB022-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n015.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 : Thu Sep 24 08:31:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running UEQ theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.44/1.28 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.44/1.28 % SZS status Started for theBenchmark.p
% 3.44/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.44/1.28
% 3.44/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.44/1.28
% 3.44/1.28 % ------ iProver source info
% 3.44/1.28
% 3.44/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.44/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.44/1.28 % git: non_committed_changes: false
% 3.44/1.28
% 3.44/1.28 % ------ Parsing...% successful
% 3.44/1.28
% 3.44/1.28
% 3.44/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.44/1.28
% 3.44/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.44/1.28
% 3.44/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.44/1.28
% 3.44/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.44/1.28 % ------ Proving...
% 3.44/1.28 % ------ Problem Properties
% 3.44/1.28
% 3.44/1.28 %
% 3.44/1.28 % clauses 5
% 3.44/1.28 % conjectures 1
% 3.44/1.28 % EPR 0
% 3.44/1.28 % Horn 5
% 3.44/1.28 % unary 5
% 3.44/1.28 % binary 0
% 3.44/1.28 % lits 5
% 3.44/1.28 % lits eq 5
% 3.44/1.28 % fd_pure 0
% 3.44/1.28 % fd_pseudo 0
% 3.44/1.28 % fd_cond 0
% 3.44/1.28 % fd_pseudo_cond 0
% 3.44/1.28 % AC symbols 1
% 3.44/1.28
% 3.44/1.28 % ------ Input Options Time Limit: Unbounded
% 3.44/1.28
% 3.44/1.28
% 3.44/1.28 % ------
% 3.44/1.28 % Current options:
% 3.44/1.28 % ------
% 3.44/1.28
% 3.44/1.28
% 3.44/1.28 %
% 3.44/1.28
% 3.44/1.28 % ------ Proving...
% 3.44/1.28 %
% 3.44/1.28
% 3.44/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.44/1.28
% 3.44/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.44/1.28
% 3.44/1.28
%------------------------------------------------------------------------------